HanxuHU/selected_diverse_5k · Datasets at Hugging Face

id stringlengths 3 7	question stringlengths 23 3.29k	answer stringlengths 0 1.03k	answer_type stringclasses 11 values	category stringclasses 16 values	difficulty stringclasses 5 values
1273286	Definitions of efficiency vary depending on how energy is being converted. Compare the definitions of efficiency for the human body and heat engines. How does the definition of efficiency in each relate to the type of energy being converted into doing work?	The efficiency of a heat engine is defined by the formula: η = (T₂−T₁)/T₂ * 100%, where T₁ is the temperature at a cold point and T₂ is the temperature at a hot point. The efficiency of the human body is defined as the total amount of energy intake from food divided by the total amount of energy used for daily activities: η = (Muscular energy/Total Calories) * 100%	String	Physics	Senior High School
1399344	On January 1, 2015, Surreal Manufacturing issued 590 bonds, each with a face value of $1,000, a stated interest rate of 3 percent paid annually on December 31, and a maturity date of December 31, 2017. On the issue date, the market interest rate was 4 percent, so the total proceeds from the bond issue were $573,629. Surreal uses the effective-interest bond amortization method and adjusts for any rounding errors when recording interest in the final year. Prepare a bond amortization schedule.	Date\|Beginning Carrying Value of the Bonds\|Calculation of Total Bond Interest Expense\|Calculation of Amortization of Bond Discount\|Ending Carrying Value of the Bonds January 1, 2015\|$573,629\|$0\|$0\|$573,629 December 31, 2015\|$573,629\|$573,629 * 4% = $22,945.16\|$22,945.16 - ($590,000 * 3%) = $17,700 = $5,245.16\|$573,629 + $5,245.16 = $578,874.16 December 31, 2016\|$578,874.16\|$578,874.16 * 4% = $23,154.97\|$23,154.97 - ($590,000 * 3%) = $17,700 = $5,454.97\|$578,874.16 + $5,454.97 = $584,329.13 December 31, 2017\|$584,329.13\|$584,329.13 * 4% = $23,373.17\|$23,373.17 - ($590,000 * 3%) = $17,700 = $5,670.87\|$584,329.13 + $5,670.87 = $590,000	List	Business	University
94548	A particle undergoes uniform circular motion of radius 27.4 m in a uniform magnetic field. The magnetic force on the particle has a magnitude of 1.65 x 10{eq}^{-17} {/eq} N. What is the kinetic energy of the particle?	2.26e-16 J	Float	Physics	Senior High School
1694619	Assume that you can drive at a constant speed of 100 kilometers per hour. suppose you started driving from the sun. how long would it take, in years, to reach earth?	171 years	Integer	Physics	Senior High School
1531468	The difference between the _ and the _ from the sale of a product is called producer surplus. a. Lowest price a firm would have been willing to accept; price it actually receives b. Cost to produce a product; price a firm actually receives c. Cost to produce a product; profit received d. Highest price a firm would have been willing to accept; lowest price it was willing to accept	a	Multiple Choice	Economics	University
841540	On January 1, 2020, Allen Corporation purchased 30% of the 24,000 outstanding common shares of Towne Corporation at $15 per share as a long-term investment. On the date of purchase, the book value and the fair value of the net assets of Towne Corporation were equal. During the year, Towne Corporation reported a net income of $19,200. Towne Corporation declared and paid cash dividends of $6,400 on December 30, 2020, to shareholders on record. As of December 31, 2020, common shares of Towne Corporation were trading at $20 per share. Record the entries in 2020 assuming that Allen Corporation had significant influence over Towne Corporation.	1. January 1, 2020: Investment in Towne Corporation Common Stock: $108,000 Cash: $108,000 2. December 30, 2020: Cash: $1,920 Investment in Towne Corporation: $1,920 3. December 31, 2020: Investment in Towne Corporation: $5,760 Income of Towne Corporation: $5,760	List	Business	University
1300595	Where does the equation $$E(X^2)=\frac{1}{2}E((X_1)^2)+\frac{1}{2}E((X_2)^2)$$ come from, given that $$X=0.5X_1+0.5X_2$$ and the CDF of the function is: $$F_x(x)=\left\{\begin{matrix} 0, for x<1\\ \frac{x^2-2X+2}{2}, for 1\leq x< 2\\ 1, for x\geq 2 \end{matrix}\right.$$ and $X_1$ is a discrete function with probability of 1 at x=1, and $X_2$ has probability $2x-2$ for $1<x<2$?	$(0.5)^2E(X_1^2)+(0.5)^2E(X_2^2)+2(0.5)^2E(X_1X_2)$	Expression	Mathematics	University
850647	Which sentence is in the conditional mood? 1. Darren wished that he could get on the baseball team. 2. Jude wanted to meet up with his old friends. 3. If Lisa had known about the holiday, she would not have come. 4. If Rebecca won the lottery, she could pay her tuition easily.	4	Multiple Choice	Other	Senior High School
177899	Suppose a linebacker collides with a stationary quarterback and they become entangled. What will happen to the velocity of the linebacker-quarterback system if the momentum is conserved?	V2 = (mL / (mL + mQ)) * V1	Expression	Physics	Senior High School
482405	What is the isotope for oxygen	Oxygen has three stable isotopes: 16O, 17O, and 18O, with 16O being the most abundant.	List	Chemistry	Junior High School
1734532	Is it correct to add or subtract a number from the same position on both sides of a matrix equation and still maintain the equality?	$\begin{bmatrix} 1 & -3/5 \\ 0 & 1 \\ \end{bmatrix}$	Boolean	Mathematics	University
1953665	Fiestaware is radioactive because the glaze used contains uranium oxide. The half-life of the uranium-238 isotope present in these dishes is about 4.5 billion years. This implies that most of Uranium-238 initially decays into thorium-234 and an alpha particle as shown in the background, but thorium-234 can further decay to emit beta particles and gamma radiation. What is the decay reaction of thorium-234?	Th-234 → Pa-234 + e- + γ	Expression	Physics	Senior High School
1989528	You just won the TVM Lottery. You will receive $1 million today plus another 10 annual payments that increase by $550,000 per year. Thus, in one year you receive $1.55 million. In two years, you get $2.1 million, and so on. If the appropriate interest rate is 6.5 percent, what is the present value of your winnings?	$27,847,400	Float	Finance	University
682692	What type of source document orders a bank to pay cash from a bank account?	a check	String	Business	Primary School
1809734	A local finance company quotes an interest rate of 17.2 percent on one-year loans. So, if you borrow $25,000, the interest for the year will be $4,300. Because you must repay a total of $29,300 in one year, the finance company requires you to pay $29,300/12, or $2,441.67 per month over the next 12 months. Is the interest rate on this loan 17.2 percent?	34.96%	Percentage	Finance	University
1300009	For a satellite at a height of 500 miles, at what speed must the satellite be traveling to achieve a circular orbit?	7.45 km/s	Float	Physics	Senior High School
416872	can someone help me answer this correctly in the next 20 minutes? I’ll give out a brainliest if you can answer it right :)	255 m	Integer	Physics	Senior High School
1883114	A 0.61 C particle moves with a speed of 16 m/s through a region where the magnetic field has a strength of 0.58 T. At what angle to the field is the particle moving if a {eq}1.0 ~x~ 10^{-7} ~N {/eq} (counterclockwise from the +x-axis) force is exerted on it?	1.77 x 10^-8 rad	Float	Physics	Senior High School
374985	Sally's broker has recommended that she purchase stock in ZZZ-Best, Inc. The broker estimates that the 1-year target price is $61 and ZZZ-Best consistently pays an annual dividend of $18. Analysts estimate that the stock has a beta of 0.84. The current risk-free rate is 2.10% and the market return is 11.1%. Assuming that CAPM holds, what is the intrinsic value of this stock?	72.04	Float	Finance	University
715144	A property produces a first-year net operating income of $24,000. Because of the long economic life of the building, the income is considered as a perpetuity that will grow by 2.5% per year. Using a discount rate of 9.5%, what is your estimate of the property's value?	$342,857.14	Float	Finance	University
1344211	A very long wire carries a uniform linear charge density of what is the electric field strength from the center of the wire at a point on the wire's perpendicular bisector?	E= \frac{\lambda}{2\pi r\epsilon_0}	Expression	Physics	University
689572	Obed Cocoa Farms (OCF) is a manufacturing firm that makes raw cocoa powder. As part of the ongoing expansion program, the company plans to purchase a new processor costing $1 million. An additional $25,000 would be required to modify the equipment for factory use. Shipping and installation charges are $1,200 and $500, respectively. The machine will be used for 4 years. Also, it will be fully depreciated using the straight-line method over 4 years at the end of which, it can be sold for 20% of its original value. Once fully operational, the machine is expected to generate incremental sales of 17,000 boxes of raw cocoa powder per year for 4 years. The per-unit sales price in the first year is $75. Also, in the first year, the total incremental operating cost (excluding depreciation) is projected to be 60% of total sales. Both the sales price and operating costs are expected to increase by 2% per year due to inflation. To place the new equipment into full operation, OCF will need to increase the number of cocoa pods it processes. Cocoa pod is the raw material used for making cocoa powder. The cost of this initial increase in raw materials is expected to be $100,000. For each of the subsequent years, net working capital (NWC) is projected to be 25% of total sales expected in the following year. For example, NWC for Year 1 = 0.25(Year 2 sales), etc. Half of the initial investment in this project will be borrowed at an interest rate of 8.5%. A non-refundable insurance premium of $1,000 for this investment was pre-paid 2 years ago. The firm's tax rate is 40% and the cost of capital is 12%. What is the net cash flow for Year 2? A. $183,545 B. $414,400 C. $427,400 D. $885,660 E. $408,288 F. None of the above	$562,292.50	Float	Business	University
1301845	A STAT 200 instructor teaches two classes. She wants to test if the variances of the score distribution for the two classes are different. What type of hypothesis test should she use?	d	Multiple Choice	Mathematics	University
2010194	Select all that apply. Which of the following are good ways to test whether a solution is an acid or a base? tasting it litmus paper phenolphthalein touching it	B, C	Multiple Choice	Chemistry	Junior High School
561150	Suppose that a cardboard box is to be constructed with no top and a volume of 4000 cubic inches. Also, suppose that the cardboard for the bottom costs 5 cents per square inch, while the cardboard for the sides costs 1 cent per square inch. Find the dimensions of the box which minimize the cost of the cardboard required.	L=11.70 in, W=11.70 in, H=29.24 in	Float	Mathematics	University
1719268	Can we conclude that games take longer to complete this year than 5 years ago?	no	Boolean	Mathematics	University
385358	In 2016, Joan is single and a homeowner who incurs property taxes on her home of $2,000, makes charitable contributions of $500, and pays mortgage interest of $6,000. Joan's adjusted gross income is $32,000. Assume the same facts as above, but Joan is not a homeowner, so she has no property tax or mortgage interest. Instead, she pays rent of $800 per month for her apartment. What is her taxable income now? (a) $21,900 (b) $17,850 (c) $25,700 (d) $21,650	C	Multiple Choice	Economics	Senior High School
2099614	Using the equation above, how many moles of Na are produced when 2.75 moles of H2 react with excess NaCl? will give BRAINLIEST	5.5 moles	Float	Chemistry	Senior High School
1691873	For some value of Z, the value of the cumulative standardized normal distribution is 0.8340. The value of Z is:	A	Multiple Choice	Mathematics	University
554941	What elements touch the staircase in the periodic table and have properties of both metals and non-metals?	Metalloids	String	Chemistry	Senior High School
1603712	An astronaut with a mass of #80 kg# is floating in space. If the astronaut throws an object with a mass of #11 kg# at a speed of #3/8 m/s#, how much will his speed change by?	0.051ms^-1	Float	Physics	Senior High School
986856	What is the longest wavelengths (in nanometers) that we can use to knock electrons out of sodium?	5.4e2 nm	Float	Physics	Senior High School
62314	You have $100,000 to invest in either Stock D, Stock E or a risk-free asset, You must invest all of your money. Your goal is to create a portfolio that has an expected return of 12%. D has an expected return of 16%. F has an expected return of 10.5%, and the risk-free rate is 6%. If you invest $50,000 in Stock D, how much will you invest in Stock F?	$22,222.22	Float	Finance	University
331576	You have a project that has a 0.4 chance of tripling your investment in a year and a 0.6 chance of doubling your investment in a year. What is the standard deviation of the rate of return on this investment?	48.99%	Percentage	Finance	Senior High School
1020495	Is there a bubble in the Chinese (Beijing) Housing Market?	Yes	Boolean	Economics	Senior High School
1146625	A 104 W lightbulb has a resistance of about 12 when cold (20 degrees C) and 137 when on (hot). Estimate the temperature of the filament when hot assuming an average temperature coefficient of resistivity a = 0.0060 (degrees C){eq}^{-1} {/eq}.	1755^°C	Integer	Physics	Senior High School
2062812	A 20.0-g piece of Styrofoam carries a net charge of -0.648 {eq}\mu {/eq} C and is suspended in equilibrium above the center of a large, horizontal sheet of plastic that has a uniform charge density on its surface. What is the charge per unit area on the plastic sheet?	5.354e-6 C/m^2	Float	Physics	Senior High School
938207	Steam at 400 kPa, 200 {eq}^\circ {/eq}C is contained in a well-insulated piston-cylinder assembly of initial volume 0.13m{eq}^3 {/eq}. The steam expands while 32 kJ of work is done. It is claimed that the final state is a two-phase mixture.Is this possible?	Yes	Boolean	Physics	University
344761	What is the effect of larger sample size on the interval estimate?	C	Multiple Choice	Mathematics	University
348480	A goal of implementation is to ensure that strategy formulation is comprehensive and well informed. Indicate whether the statement is true or false	False	Boolean	Business	University
1571320	The first Beatles song to become a standard tune was this Paul McCartney song, featured in a rarity from the '64 Sullivan show. a. True b. False	a	Boolean	Other	Senior High School
877408	Rita wants to go snorkeling to see the beautiful coral reefs. Which place should she choose to snorkel to see the reefs?	The Great Barrier Reef	String	Other	Primary School
1531602	Blocks A and B are moving toward each other along the x-axis. A has a mass of {eq}2.0\, \rm{kg} {/eq} and a velocity of {eq}50\, \rm{m/s} {/eq} ( in the positive x direction ), while B has a mass of {eq}4.0\, \rm{kg} {/eq} and a velocity of {eq}-25\, \rm{m/s} {/eq} ( in the negative x direction). They suffer an elastic collision and move off along the x axis. After the collision the velocities of A and B, respectively are: a. {eq}-50\, \rm{m/s} {/eq} and {eq}25\, \rm{m/s} {/eq} b. {eq}50\, \rm{m/s} {/eq} and {eq}-25\, \rm{m/s} {/eq} c. {eq}-25\, \rm{m/s} {/eq} and {eq}50\, \rm{m/s} {/eq} d. {eq}25\, \rm{m/s} {/eq} and {eq}-50\, \rm{m/s} {/eq} e. {eq}-25\, \rm{m/s} {/eq} and {eq}-50\, \rm{m/s} {/eq}	a	Multiple Choice	Physics	Senior High School
1772426	Does the ping-pong lemma hold for $k = 2$ and $\|H_1\| = \|H_2\| = 2$?	No	Boolean	Mathematics	University
1686865	A 65 kg person dives into the water from the 10 m platform. She comes to a stop 2 m below the surface of the water. What net force did the water exert on the swimmer?	3185 N	Integer	Physics	Senior High School
1008521	Isopropyl alcohol is mixed with water to produce a 35.0% (v/v) alcohol solution. How many mL of each component are present in 825 mL of this solution? (Assume volumes are additive.)	289 mL of alcohol and 536 mL of water	List	Chemistry	Senior High School
81197	What is the name of the compound that contains one uranium atom and six fluorine atoms?	Uranium hexafluoride	String	Chemistry	Senior High School
396352	The holders of ZZZ Corporation's bond, with a face value of $1,000, can exchange that bond for 35 shares of stock. The stock is selling for $25.00. What is the conversion price?	$28.57	Float	Finance	Senior High School
683288	Suppose country A has a GDP that is one-eighth the GDP of country B. Country A grows at 10% per year, and country B grows at 2% per year. How many years will it take for country A to catch up with country B?	27.5 years	Float	Economics	Senior High School
455233	Based on the given data, which of the following best describes the 95% confidence interval for the proportion of people that would say 'No" among those who do not give a "Yes"?	C	Multiple Choice	Mathematics	University
2020924	A function $N:[0,1]\to [0,1]$ is called a negation if $N(0)=1, N(1)=0$ and $N$ is non-increasing $(x ≤ y ⇒ N(x) ≥ N(y))$. For every negation the balance point is defined $N(a)=a$. If $N$ be continuous then Would you say there is a unique balance point?(The existence and uniqueness).	Yes	Boolean	Mathematics	University
188242	A redemption is always "essentially equivalent to a dividend" where a corporation's sole stockholder causes part of his shares to be redeemed by the corporation. This statement is True or False?	True	Boolean	Business	University
1491344	How does one find the parameterization of the shape given by the equation $x^2 + y^2 = 1$ without already knowing the trigonometric parameterization? Specifically, how does one go from $x=t$ and $y = \pm\sqrt{1-t^2}$ to a trigonometric parameterization? Is there a $\sin$ and $\cos$ definition that I'm missing?	$e^{i\theta}= \cos(\theta)+i\sin(\theta)$	Expression	Mathematics	University
1126623	The positron is the antimatter counterpart to the electron. Positrons do exist naturally on Earth, produced both by natural radioactivity and when incoming cosmic rays from outer space hit the atmosphere, but they don't last very long here: when a positron meets an electron, they are both annihilated almost immediately, producing a pair of gamma-ray photons. In any event: a positron has the same mass as an electron ({eq}m = 9.11 \times 10^{-31}\ \mathrm{kg} {/eq}), but the same positive charge of {eq}q = +1.60 \times 10^{-19}\ \mathrm {C} {/eq} as a proton. If you use a particle accelerator to fire a positron at a speed of 75% of the speed of light ({eq}v = 0.75c {/eq}, with {eq}c = 3.00 \times 10^8\ \mathrm{m/s} {/eq}) towards a proton, how close does it get before its electrostatic interaction with the proton repels it away again?	5.48e-15 m	Float	Physics	University
318952	As it passes over Grand Bahama Island, the eye of a hurricane is moving in a direction 65.0° north of west with a speed of 42.8 km/h. Three hours later, the course of the hurricane suddenly shifts due north, and its speed slows to 27.0 km/h. How far from Grand Bahama is the eye 4.60 h after it passes over the island? (Answer in km)	169 km	Float	Physics	Senior High School
1337162	Once a photon of light is generated, how long does it take to escape beyond the outer part of the Sun?	Thousands of years	String	Physics	Senior High School
1652211	The 5w2h concept is labeled as such because a business process benchmarking project should result in the answers to five questions. Indicate whether the statement is true or false	False	Boolean	Business	Junior High School
533518	There are two identical, positively charged conducting spheres fixed in space. The spheres are 39.6 cm apart (center to center) and repel each other with an electrostatic force of F1 = 0.0675 N. Then, a thin conducting wire connects the spheres, redistributing the charge on each sphere. When the wire is removed the spheres still repel but with a force of F2 = 0.115 N. Using this information, find the initial charge on each sphere, q1 and q2.	q1 = 0.51 μC, q2 = 2.31 μC	List	Physics	University
925657	Suppose we see the following prices for zero coupon bonds (strips) with maturities ranging from one to six years: Maturity in Years Bond Price year 1 $98.04 year 2 $95.18 year 3 $92.18 year 4 $89.28 year 5 $86.52 year 6 $83.90 Note: Each bond has a face value of $100 What is the bond's yield-to-maturity?	Year 1: 2.00% Year 2: 2.50% Year 3: 2.75% Year 4: 2.88% Year 5: 2.94% Year 6: 2.97%	List	Finance	University
850575	While you are sleeping, approximately how much of the energy your cells use is derived from fats?	30% to 70%	Percentage	Biology	Senior High School
1693717	Suppose 44% of the students in a university are baseball players. If a sample of 853 students is selected, what is the probability that the sample proportion of baseball players will be less than 40%? Round answer to four decimal places.	0.0094	Float	Mathematics	University
1321440	How much work would it take to push a # 2 kg # weight up a # 18 m # plane that is at an incline of # (5pi) / 12 #?	340.7786315 joules	Float	Physics	Senior High School
891264	An object's two dimensional velocity is given by #v(t) = ( e^t-2t^2 , t-te^2 )#. What is the object's rate and direction of acceleration at #t=7 #?	The rate of acceleration is 1069.02. The direction is about 0.536 degrees clockwise from the positive x-axis.	Float	Physics	University
1389311	At present, the conversion is 2/3 for our elementary second-order liquid reaction {eq}2A \rightarrow 2R{/eq} when operating in an isothermal plug flow reactor with a recycle ratio of unity. What will be the conversion if the recycle stream is shut off?	75%	Percentage	Chemistry	University
567518	Calculate the heat of formation of P4O10 under these conditions When 10.00 g of phosphorus is burned in O_2 (g) to form P_4O_10(s), enough heat is generated to raise the temperature of 2950 g of water from 18.0 C to 38.0 C.	-3.075e6 J/mol	Float	Chemistry	Senior High School
567243	A wire having a mass per unit length of 0.500 g/cm carries a 2.00-A current horizontally to the south. a) What are the direction and magnitude of the minimum magnetic field needed to lift this wire vertically upward?	0.245 T, East	Float	Physics	Senior High School
1865340	A hypothetical diprotic acid has pKa1=5 and pka2=7. Could a buffer at pH6 be prepared with this acid? If so how?	Yes	Boolean	Chemistry	Senior High School
1704054	A charge of #-1 C# is at the origin. How much energy would be applied to or released from a # -1 C# charge if it is moved from # (-7 ,1 ) # to #(-1 ,4 ) #?	9.1 * 10^8 J	Float	Physics	University
365684	A compressor blade design tested in a cascade is found to choke with an inlet Mach number of 0.9 when the inlet flow angle is 52 deg. If the ratio of the throat area to the frontal area, A/{eq}H_{1s} {/eq}, for the cascade is) 0.625, calculate the loss of stagnation pressure between the far upstream and the throat and express this as a loss coefficient. Give your comments on what could cause this loss.	0.0486	Float	Physics	University
1647961	The mass of the board is 100 kg, and a 2-meter section of its 6-meter length hangs over the edge. Assume that the entire mass of the board acts at the center of the board. How far from the end of the board can a 60 kg person walk before it will tip over?	1.7 m	Float	Physics	Senior High School
447518	Which of the following statements is true? A) If Q < K, it means the forward reaction will proceed to form more products. B) If Q > K, it means the forward reaction will proceed to form more products. C) If Q = K, it means the reaction is not at equilibrium. D) All of the above are true. E) None of the above are true.	A	Multiple Choice	Chemistry	Senior High School
443773	How many stanzas are in Remember by Joy Harjo?	1	Integer	Other	Senior High School
1856684	Consider an extremely right-skewed distribution with a mean of 15 and standard deviation of 2. 99.7% of its area is within: a. One standard deviation of the mean b. Two standard deviations of the mean c. Three standard deviations of the mean d. 2.5 standard deviations of the mean e. Can't determine from the information given.	e	Multiple Choice	Mathematics	University
31354	The mercalli scale is a scale from ________.	1 to 12	Integer	Physics	Junior High School
1772357	What is the CGS unit of a magnetic field?	Gauss	String	Physics	Senior High School
1272214	An 83-kg fisherman in a 136-kg boat throws a package of mass m = 15 kg horizontally toward the right with a speed of vi = 4.6 m/s. Neglecting water resistance, and assuming the boat is at rest before the package is thrown, find the velocity of the boat after the package is thrown.	-0.32 m/s	Float	Physics	Senior High School
7581	Rushing had an income of $207 million and average invested assets of $2,000 million. Its return on assets is __________.	10.4%	Percentage	Business	Senior High School
2986	Conduct a hypothesis test at the 5% level of significance to determine if the percent at her school is less than 40%. Show your hypothesis your calculated z or t score and your decision to accept or not accept the null hypothesis.	0.0217	Float	Mathematics	University
679213	A force of 7 pounds is required to stretch a 40 inch spring to a length of 43 inches. How much work will be done in stretching the spring an additional 6 inches from its already extended length of 43 inches?	7 lb*ft	Float	Physics	Senior High School
1579513	Find the volume of the solid obtained by rotating the region bounded by the given curves about the speciﬁed axis. x+y = 3, x = 4−(y−1)^2; about the x-axis.	108π/5 or 67.86	Fraction	Mathematics	University
651891	Does the absolute error of a burette change when different volumes are measured?	No	Boolean	Physics	Senior High School
120064	An outfielder throws a {eq}0.150 - \mathrm{kg} {/eq} baseball at a speed of {eq}40.0\ \mathrm{m/s} {/eq} and an initial angle of {eq}30.0^{\circ} {/eq}. What is the kinetic energy of the ball at the highest point of its motion?	90 J	Integer	Physics	Senior High School
856868	On the article the cost of children by RUTH MACE .WHAT IS THE MEANING OF THE WORD APACE ACCORDING TO THE PARAGRAPH?	rapidly, quickly, swiftly	String	Other	Senior High School
1158582	In a series RLC AC circuit, the resistance is 10{eq}\Omega {/eq}, the inductance is 13mH, and the capacitance is 14{eq}\mu {/eq}F. The maximum potential is 70V, and the angular frequency is 100rad/s. calculate the maximum current in the circuit. Answer in units of A	0.098 A	Float	Physics	University
1809068	Suppose you just bought a 10-year annuity of $10,000 per year at the current interest rate of 10 percent per year. What happens to the value of your investment if interest rates suddenly drop to 5%?	$77,217.35	Float	Finance	University
1730882	A charge of 0.250 C moves vertically in a field of 0.500 T that is oriented some angle from the vertical. If the charge's speed is 2.0 {eq}\times {/eq} 10{eq}^2 {/eq} m/s, what angle(s) will ensure that the force acting on the charge is 5.0 N?	36.87^° and 143.13^°	Float	Physics	Senior High School
1075085	Rachel is using a Bunsen burner to heat a solution. Which of the following would let her control the rate of reaction in the solution? replacing the amount of flammable gas used with different rates controlling the amount of air entering the combustion tube placing the burner in open surroundings	B	Multiple Choice	Chemistry	Junior High School
791177	Viera Corporation is considering investing in a new facility. The estimated cost of the facility is $2,000,045. It will be used for 12 years, then sold for $716,870. The facility will generate annual cash inflows of $382,550 and will need new annual cash outflows of $154,990. The company has a required rate of return of 7%. Calculate the internal rate of return. (Use five decimal places for calculations. Round final answer to 0 decimal places, e.g. 15%.)	8%	Percentage	Business	University
631372	Do equity accounts on a balance sheet need to contain the name of the member?	No	Boolean	Business	Senior High School
527359	For your senior project, you would like to build a cyclotron that will accelerate protons to 10% of the speed of light. The largest vacuum chamber you can find is 50 cm in diameter. What magnetic field strength will you need?	1.25 T	Float	Physics	University
724757	Fuller Company builds swimming pools. Fuller budgets that they will sell 13 pools during the month of April at a price of $20,317 per pool. Actual pools sold by Fuller during April were 16 pools at a price of $20,617 per pool. What is the Sales Volume Variance for April? If the variance is unfavorable, use a negative sign right before the number with no space in between.	60951	Integer	Business	Junior High School
1704303	A 82 kg researcher absorbs {eq}9.1 \times 10^8 {/eq} neutrons in a work day. The energy of the neutrons is 9 MeV. The relative biological efficiency (RBE) for fast neutrons is 10. The equivalent dosage of the radiation exposure, in mrem, is closest to: A. 48 B. 16 C. 5.0 D. 160 E. 10	B	Multiple Choice	Physics	University
1912046	How much would a vacation to Japan cost in the United States dollars if a vacation package for 245,254.50 Yen was purchased? Assume the exchange rate is 99.90 Yen per US dollar.	$2,545.09	Float	Finance	Primary School
1822983	A spring has a natural length of {eq}8 in{/eq}. If it takes a force of {eq}16 lb{/eq} to compress the spring to a length of {eq}6 in{/eq}., how much work is required to compress the spring from its natural length to {eq}7 in{/eq}.? (Round your answer to four decimal places)	0.3333 lb ft	Float	Physics	Senior High School
149558	There are two identical, positively charged conducting spheres fixed in space. The spheres are 46.0 cm apart (center to center) and repel each other with an electrostatic force of {eq}F_1 = 0.0720 \ \mathrm{N} {/eq}. Then, a thin conducting wire connects the spheres, redistributing the charge on each sphere. When the wire is removed, the spheres still repel but with a force of {eq}F_2 = 0.100 \ \mathrm{N} {/eq}. Using this information, find the initial charge on each sphere, {eq}q_1 {/eq} and {eq}q_2 {/eq}, if initially {eq}q_1 < q_2 {/eq}. The Coulomb Force constant is {eq}k = 1/(4 \pi \epsilon_0) = 8.99 \times 10^9 \ \mathrm{Nm^2/C^2} {/eq}.	q1=0.723e-6 C, q2=2.35e-6 C	List	Physics	University
580139	What is a theme of "Song of the Open Road"? Travel allows one to connect with and feel the fellowship of others. Travel demands that one use caution and common sense. Travel gives one a chance to realize the beauty and safety of home. Travels forces one to question oneself and others.	A	Multiple Choice	Other	Senior High School
245081	We throw a die $100$ times. Using Chebyshev inequality find the lower bound on the probability that the sum of spots in these $100$ throws is bigger than $200$. Let $X = $ number of spots after $100$ throws We are looking for $t$ such that $P(X \ge 200) \ge t$. What is $p$ in this case (Bernoulli distribution with $n=100$)? How to find the estimation $P(X \ge 200) \ge t$ using Chebyshev inequality?	0.987	Float	Mathematics	University
73266	A 10.0 kg block is released from rest at the top of the track at point A that is 3.00 m high. The track is frictionless except for the horizontal portion between points B and C, which has a length of 6.00 m. The block travels down the track, hits a spring of force constant 2250 N/m, and compresses the spring before momentarily coming to rest. If the coefficient of friction is 0.328, how far is the spring compressed?	0.300 m	Float	Physics	Senior High School
780536	A Hall probe gives a reading of 1.5 {eq}\mu {/eq}V for a current of 2 A when it is placed in a magnetic field of 1 T. What is the magnetic field in a region where the reading is 2 {eq}\mu {/eq}V for 1.7 A of current?	1.6 T	Float	Physics	Senior High School
656175	Among the following, which is the most important strategy for an underweight person who wishes to achieve a healthy body weight?	A	Multiple Choice	Health	Junior High School

1273286

Definitions of efficiency vary depending on how energy is being converted. Compare the definitions of efficiency for the human body and heat engines. How does the definition of efficiency in each relate to the type of energy being converted into doing work?

The efficiency of a heat engine is defined by the formula: η = (T₂−T₁)/T₂ * 100%, where T₁ is the temperature at a cold point and T₂ is the temperature at a hot point. The efficiency of the human body is defined as the total amount of energy intake from food divided by the total amount of energy used for daily activities: η = (Muscular energy/Total Calories) * 100%

String

Physics

Senior High School

1399344

On January 1, 2015, Surreal Manufacturing issued 590 bonds, each with a face value of $1,000, a stated interest rate of 3 percent paid annually on December 31, and a maturity date of December 31, 2017. On the issue date, the market interest rate was 4 percent, so the total proceeds from the bond issue were $573,629. Surreal uses the effective-interest bond amortization method and adjusts for any rounding errors when recording interest in the final year. Prepare a bond amortization schedule.

Date|Beginning Carrying Value of the Bonds|Calculation of Total Bond Interest Expense|Calculation of Amortization of Bond Discount|Ending Carrying Value of the Bonds January 1, 2015|$573,629|$0|$0|$573,629 December 31, 2015|$573,629|$573,629 * 4% = $22,945.16|$22,945.16 - ($590,000 * 3%) = $17,700 = $5,245.16|$573,629 + $5,245.16 = $578,874.16 December 31, 2016|$578,874.16|$578,874.16 * 4% = $23,154.97|$23,154.97 - ($590,000 * 3%) = $17,700 = $5,454.97|$578,874.16 + $5,454.97 = $584,329.13 December 31, 2017|$584,329.13|$584,329.13 * 4% = $23,373.17|$23,373.17 - ($590,000 * 3%) = $17,700 = $5,670.87|$584,329.13 + $5,670.87 = $590,000

List

Business

University

94548

A particle undergoes uniform circular motion of radius 27.4 m in a uniform magnetic field. The magnetic force on the particle has a magnitude of 1.65 x 10{eq}^{-17} {/eq} N. What is the kinetic energy of the particle?

2.26e-16 J

Float

Physics

Senior High School

1694619

Assume that you can drive at a constant speed of 100 kilometers per hour. suppose you started driving from the sun. how long would it take, in years, to reach earth?

171 years

Integer

Physics

Senior High School

1531468

The difference between the _ and the _ from the sale of a product is called producer surplus. a. Lowest price a firm would have been willing to accept; price it actually receives b. Cost to produce a product; price a firm actually receives c. Cost to produce a product; profit received d. Highest price a firm would have been willing to accept; lowest price it was willing to accept

a

Multiple Choice

Economics

University

841540

On January 1, 2020, Allen Corporation purchased 30% of the 24,000 outstanding common shares of Towne Corporation at $15 per share as a long-term investment. On the date of purchase, the book value and the fair value of the net assets of Towne Corporation were equal. During the year, Towne Corporation reported a net income of $19,200. Towne Corporation declared and paid cash dividends of $6,400 on December 30, 2020, to shareholders on record. As of December 31, 2020, common shares of Towne Corporation were trading at $20 per share. Record the entries in 2020 assuming that Allen Corporation had significant influence over Towne Corporation.

1. January 1, 2020: Investment in Towne Corporation Common Stock: $108,000 Cash: $108,000 2. December 30, 2020: Cash: $1,920 Investment in Towne Corporation: $1,920 3. December 31, 2020: Investment in Towne Corporation: $5,760 Income of Towne Corporation: $5,760

List

Business

University

1300595

Where does the equation $$E(X^2)=\frac{1}{2}E((X_1)^2)+\frac{1}{2}E((X_2)^2)$$ come from, given that $$X=0.5X_1+0.5X_2$$ and the CDF of the function is: $$F_x(x)=\left\{\begin{matrix} 0, for x<1\\ \frac{x^2-2X+2}{2}, for 1\leq x< 2\\ 1, for x\geq 2 \end{matrix}\right.$$ and $X_1$ is a discrete function with probability of 1 at x=1, and $X_2$ has probability $2x-2$ for $1<x<2$?

$(0.5)^2E(X_1^2)+(0.5)^2E(X_2^2)+2(0.5)^2E(X_1X_2)$

Expression

Mathematics

University

850647

Which sentence is in the conditional mood? 1. Darren wished that he could get on the baseball team. 2. Jude wanted to meet up with his old friends. 3. If Lisa had known about the holiday, she would not have come. 4. If Rebecca won the lottery, she could pay her tuition easily.

4

Multiple Choice

Other

Senior High School

177899

Suppose a linebacker collides with a stationary quarterback and they become entangled. What will happen to the velocity of the linebacker-quarterback system if the momentum is conserved?

V2 = (mL / (mL + mQ)) * V1

Expression

Physics

Senior High School

482405

What is the isotope for oxygen

Oxygen has three stable isotopes: 16O, 17O, and 18O, with 16O being the most abundant.

List

Chemistry

Junior High School

1734532

Is it correct to add or subtract a number from the same position on both sides of a matrix equation and still maintain the equality?

$\begin{bmatrix} 1 & -3/5 \\ 0 & 1 \\ \end{bmatrix}$

Boolean

Mathematics

University

1953665

Fiestaware is radioactive because the glaze used contains uranium oxide. The half-life of the uranium-238 isotope present in these dishes is about 4.5 billion years. This implies that most of Uranium-238 initially decays into thorium-234 and an alpha particle as shown in the background, but thorium-234 can further decay to emit beta particles and gamma radiation. What is the decay reaction of thorium-234?

Th-234 → Pa-234 + e- + γ

Expression

Physics

Senior High School

1989528

You just won the TVM Lottery. You will receive $1 million today plus another 10 annual payments that increase by $550,000 per year. Thus, in one year you receive $1.55 million. In two years, you get $2.1 million, and so on. If the appropriate interest rate is 6.5 percent, what is the present value of your winnings?

$27,847,400

Float

Finance

University

682692

What type of source document orders a bank to pay cash from a bank account?

a check

String

Business

Primary School

1809734

A local finance company quotes an interest rate of 17.2 percent on one-year loans. So, if you borrow $25,000, the interest for the year will be $4,300. Because you must repay a total of $29,300 in one year, the finance company requires you to pay $29,300/12, or $2,441.67 per month over the next 12 months. Is the interest rate on this loan 17.2 percent?

34.96%

Percentage

Finance

University

1300009

For a satellite at a height of 500 miles, at what speed must the satellite be traveling to achieve a circular orbit?

7.45 km/s

Float

Physics

Senior High School

416872

can someone help me answer this correctly in the next 20 minutes? I’ll give out a brainliest if you can answer it right :)

255 m

Integer

Physics

Senior High School

1883114

A 0.61 C particle moves with a speed of 16 m/s through a region where the magnetic field has a strength of 0.58 T. At what angle to the field is the particle moving if a {eq}1.0 ~x~ 10^{-7} ~N {/eq} (counterclockwise from the +x-axis) force is exerted on it?

1.77 x 10^-8 rad

Float

Physics

Senior High School

374985

Sally's broker has recommended that she purchase stock in ZZZ-Best, Inc. The broker estimates that the 1-year target price is $61 and ZZZ-Best consistently pays an annual dividend of $18. Analysts estimate that the stock has a beta of 0.84. The current risk-free rate is 2.10% and the market return is 11.1%. Assuming that CAPM holds, what is the intrinsic value of this stock?

72.04

Float

Finance

University

715144

A property produces a first-year net operating income of $24,000. Because of the long economic life of the building, the income is considered as a perpetuity that will grow by 2.5% per year. Using a discount rate of 9.5%, what is your estimate of the property's value?

$342,857.14

Float

Finance

University

1344211

A very long wire carries a uniform linear charge density of what is the electric field strength from the center of the wire at a point on the wire's perpendicular bisector?

E= \frac{\lambda}{2\pi r\epsilon_0}

Expression

Physics

University

689572

Obed Cocoa Farms (OCF) is a manufacturing firm that makes raw cocoa powder. As part of the ongoing expansion program, the company plans to purchase a new processor costing $1 million. An additional $25,000 would be required to modify the equipment for factory use. Shipping and installation charges are $1,200 and $500, respectively. The machine will be used for 4 years. Also, it will be fully depreciated using the straight-line method over 4 years at the end of which, it can be sold for 20% of its original value. Once fully operational, the machine is expected to generate incremental sales of 17,000 boxes of raw cocoa powder per year for 4 years. The per-unit sales price in the first year is $75. Also, in the first year, the total incremental operating cost (excluding depreciation) is projected to be 60% of total sales. Both the sales price and operating costs are expected to increase by 2% per year due to inflation. To place the new equipment into full operation, OCF will need to increase the number of cocoa pods it processes. Cocoa pod is the raw material used for making cocoa powder. The cost of this initial increase in raw materials is expected to be $100,000. For each of the subsequent years, net working capital (NWC) is projected to be 25% of total sales expected in the following year. For example, NWC for Year 1 = 0.25(Year 2 sales), etc. Half of the initial investment in this project will be borrowed at an interest rate of 8.5%. A non-refundable insurance premium of $1,000 for this investment was pre-paid 2 years ago. The firm's tax rate is 40% and the cost of capital is 12%. What is the net cash flow for Year 2? A. $183,545 B. $414,400 C. $427,400 D. $885,660 E. $408,288 F. None of the above

$562,292.50

Float

Business

University

1301845

A STAT 200 instructor teaches two classes. She wants to test if the variances of the score distribution for the two classes are different. What type of hypothesis test should she use?

d

Multiple Choice

Mathematics

University

2010194

Select all that apply. Which of the following are good ways to test whether a solution is an acid or a base? tasting it litmus paper phenolphthalein touching it

B, C

Multiple Choice

Chemistry

Junior High School

561150

Suppose that a cardboard box is to be constructed with no top and a volume of 4000 cubic inches. Also, suppose that the cardboard for the bottom costs 5 cents per square inch, while the cardboard for the sides costs 1 cent per square inch. Find the dimensions of the box which minimize the cost of the cardboard required.

L=11.70 in, W=11.70 in, H=29.24 in

Float

Mathematics

University

1719268

Can we conclude that games take longer to complete this year than 5 years ago?

no

Boolean

Mathematics

University

385358

In 2016, Joan is single and a homeowner who incurs property taxes on her home of $2,000, makes charitable contributions of $500, and pays mortgage interest of $6,000. Joan's adjusted gross income is $32,000. Assume the same facts as above, but Joan is not a homeowner, so she has no property tax or mortgage interest. Instead, she pays rent of $800 per month for her apartment. What is her taxable income now? (a) $21,900 (b) $17,850 (c) $25,700 (d) $21,650

C

Multiple Choice

Economics

Senior High School

2099614

Using the equation above, how many moles of Na are produced when 2.75 moles of H2 react with excess NaCl? will give BRAINLIEST

5.5 moles

Float

Chemistry

Senior High School

1691873

For some value of Z, the value of the cumulative standardized normal distribution is 0.8340. The value of Z is:

A

Multiple Choice

Mathematics

University

554941

What elements touch the staircase in the periodic table and have properties of both metals and non-metals?

Metalloids

String

Chemistry

Senior High School

1603712

An astronaut with a mass of #80 kg# is floating in space. If the astronaut throws an object with a mass of #11 kg# at a speed of #3/8 m/s#, how much will his speed change by?

0.051ms^-1

Float

Physics

Senior High School

986856

What is the longest wavelengths (in nanometers) that we can use to knock electrons out of sodium?

5.4e2 nm

Float

Physics

Senior High School

62314

You have $100,000 to invest in either Stock D, Stock E or a risk-free asset, You must invest all of your money. Your goal is to create a portfolio that has an expected return of 12%. D has an expected return of 16%. F has an expected return of 10.5%, and the risk-free rate is 6%. If you invest $50,000 in Stock D, how much will you invest in Stock F?

$22,222.22

Float

Finance

University

331576

You have a project that has a 0.4 chance of tripling your investment in a year and a 0.6 chance of doubling your investment in a year. What is the standard deviation of the rate of return on this investment?

48.99%

Percentage

Finance

Senior High School

1020495

Is there a bubble in the Chinese (Beijing) Housing Market?

Yes

Boolean

Economics

Senior High School

1146625

A 104 W lightbulb has a resistance of about 12 when cold (20 degrees C) and 137 when on (hot). Estimate the temperature of the filament when hot assuming an average temperature coefficient of resistivity a = 0.0060 (degrees C){eq}^{-1} {/eq}.

1755^°C

Integer

Physics

Senior High School

2062812

A 20.0-g piece of Styrofoam carries a net charge of -0.648 {eq}\mu {/eq} C and is suspended in equilibrium above the center of a large, horizontal sheet of plastic that has a uniform charge density on its surface. What is the charge per unit area on the plastic sheet?

5.354e-6 C/m^2

Float

Physics

Senior High School

938207

Steam at 400 kPa, 200 {eq}^\circ {/eq}C is contained in a well-insulated piston-cylinder assembly of initial volume 0.13m{eq}^3 {/eq}. The steam expands while 32 kJ of work is done. It is claimed that the final state is a two-phase mixture.Is this possible?

Yes

Boolean

Physics

University

344761

What is the effect of larger sample size on the interval estimate?

C

Multiple Choice

Mathematics

University

348480

A goal of implementation is to ensure that strategy formulation is comprehensive and well informed. Indicate whether the statement is true or false

False

Boolean

Business

University

1571320

The first Beatles song to become a standard tune was this Paul McCartney song, featured in a rarity from the '64 Sullivan show. a. True b. False

a

Boolean

Other

Senior High School

877408

Rita wants to go snorkeling to see the beautiful coral reefs. Which place should she choose to snorkel to see the reefs?

The Great Barrier Reef

String

Other

Primary School

1531602

Blocks A and B are moving toward each other along the x-axis. A has a mass of {eq}2.0\, \rm{kg} {/eq} and a velocity of {eq}50\, \rm{m/s} {/eq} ( in the positive x direction ), while B has a mass of {eq}4.0\, \rm{kg} {/eq} and a velocity of {eq}-25\, \rm{m/s} {/eq} ( in the negative x direction). They suffer an elastic collision and move off along the x axis. After the collision the velocities of A and B, respectively are: a. {eq}-50\, \rm{m/s} {/eq} and {eq}25\, \rm{m/s} {/eq} b. {eq}50\, \rm{m/s} {/eq} and {eq}-25\, \rm{m/s} {/eq} c. {eq}-25\, \rm{m/s} {/eq} and {eq}50\, \rm{m/s} {/eq} d. {eq}25\, \rm{m/s} {/eq} and {eq}-50\, \rm{m/s} {/eq} e. {eq}-25\, \rm{m/s} {/eq} and {eq}-50\, \rm{m/s} {/eq}

a

Multiple Choice

Physics

Senior High School

1772426

Does the ping-pong lemma hold for $k = 2$ and $|H_1| = |H_2| = 2$?

No

Boolean

Mathematics

University

1686865

A 65 kg person dives into the water from the 10 m platform. She comes to a stop 2 m below the surface of the water. What net force did the water exert on the swimmer?

3185 N

Integer

Physics

Senior High School

1008521

Isopropyl alcohol is mixed with water to produce a 35.0% (v/v) alcohol solution. How many mL of each component are present in 825 mL of this solution? (Assume volumes are additive.)

289 mL of alcohol and 536 mL of water

List

Chemistry

Senior High School

81197

What is the name of the compound that contains one uranium atom and six fluorine atoms?

Uranium hexafluoride

String

Chemistry

Senior High School

396352

The holders of ZZZ Corporation's bond, with a face value of $1,000, can exchange that bond for 35 shares of stock. The stock is selling for $25.00. What is the conversion price?

$28.57

Float

Finance

Senior High School

683288

Suppose country A has a GDP that is one-eighth the GDP of country B. Country A grows at 10% per year, and country B grows at 2% per year. How many years will it take for country A to catch up with country B?

27.5 years

Float

Economics

Senior High School

455233

Based on the given data, which of the following best describes the 95% confidence interval for the proportion of people that would say 'No" among those who do not give a "Yes"?

C

Multiple Choice

Mathematics

University

2020924

A function $N:[0,1]\to [0,1]$ is called a negation if $N(0)=1, N(1)=0$ and $N$ is non-increasing $(x ≤ y ⇒ N(x) ≥ N(y))$. For every negation the balance point is defined $N(a)=a$. If $N$ be continuous then Would you say there is a unique balance point?(The existence and uniqueness).

Yes

Boolean

Mathematics

University

188242

A redemption is always "essentially equivalent to a dividend" where a corporation's sole stockholder causes part of his shares to be redeemed by the corporation. This statement is True or False?

True

Boolean

Business

University

1491344

How does one find the parameterization of the shape given by the equation $x^2 + y^2 = 1$ without already knowing the trigonometric parameterization? Specifically, how does one go from $x=t$ and $y = \pm\sqrt{1-t^2}$ to a trigonometric parameterization? Is there a $\sin$ and $\cos$ definition that I'm missing?

$e^{i\theta}= \cos(\theta)+i\sin(\theta)$

Expression

Mathematics

University

1126623

The positron is the antimatter counterpart to the electron. Positrons do exist naturally on Earth, produced both by natural radioactivity and when incoming cosmic rays from outer space hit the atmosphere, but they don't last very long here: when a positron meets an electron, they are both annihilated almost immediately, producing a pair of gamma-ray photons. In any event: a positron has the same mass as an electron ({eq}m = 9.11 \times 10^{-31}\ \mathrm{kg} {/eq}), but the same positive charge of {eq}q = +1.60 \times 10^{-19}\ \mathrm {C} {/eq} as a proton. If you use a particle accelerator to fire a positron at a speed of 75% of the speed of light ({eq}v = 0.75c {/eq}, with {eq}c = 3.00 \times 10^8\ \mathrm{m/s} {/eq}) towards a proton, how close does it get before its electrostatic interaction with the proton repels it away again?

5.48e-15 m

Float

Physics

University

318952

As it passes over Grand Bahama Island, the eye of a hurricane is moving in a direction 65.0° north of west with a speed of 42.8 km/h. Three hours later, the course of the hurricane suddenly shifts due north, and its speed slows to 27.0 km/h. How far from Grand Bahama is the eye 4.60 h after it passes over the island? (Answer in km)

169 km

Float

Physics

Senior High School

1337162

Once a photon of light is generated, how long does it take to escape beyond the outer part of the Sun?

Thousands of years

String

Physics

Senior High School

1652211

The 5w2h concept is labeled as such because a business process benchmarking project should result in the answers to five questions. Indicate whether the statement is true or false

False

Boolean

Business

Junior High School

533518

There are two identical, positively charged conducting spheres fixed in space. The spheres are 39.6 cm apart (center to center) and repel each other with an electrostatic force of F1 = 0.0675 N. Then, a thin conducting wire connects the spheres, redistributing the charge on each sphere. When the wire is removed the spheres still repel but with a force of F2 = 0.115 N. Using this information, find the initial charge on each sphere, q1 and q2.

q1 = 0.51 μC, q2 = 2.31 μC

List

Physics

University

925657

Suppose we see the following prices for zero coupon bonds (strips) with maturities ranging from one to six years: Maturity in Years Bond Price year 1 $98.04 year 2 $95.18 year 3 $92.18 year 4 $89.28 year 5 $86.52 year 6 $83.90 Note: Each bond has a face value of $100 What is the bond's yield-to-maturity?

Year 1: 2.00% Year 2: 2.50% Year 3: 2.75% Year 4: 2.88% Year 5: 2.94% Year 6: 2.97%

List

Finance

University

850575

While you are sleeping, approximately how much of the energy your cells use is derived from fats?

30% to 70%

Percentage

Biology

Senior High School

1693717

Suppose 44% of the students in a university are baseball players. If a sample of 853 students is selected, what is the probability that the sample proportion of baseball players will be less than 40%? Round answer to four decimal places.

0.0094

Float

Mathematics

University

1321440

How much work would it take to push a # 2 kg # weight up a # 18 m # plane that is at an incline of # (5pi) / 12 #?

340.7786315 joules

Float

Physics

Senior High School

891264

An object's two dimensional velocity is given by #v(t) = ( e^t-2t^2 , t-te^2 )#. What is the object's rate and direction of acceleration at #t=7 #?

The rate of acceleration is 1069.02. The direction is about 0.536 degrees clockwise from the positive x-axis.

Float

Physics

University

1389311

At present, the conversion is 2/3 for our elementary second-order liquid reaction {eq}2A \rightarrow 2R{/eq} when operating in an isothermal plug flow reactor with a recycle ratio of unity. What will be the conversion if the recycle stream is shut off?

75%

Percentage

Chemistry

University

567518

Calculate the heat of formation of P4O10 under these conditions When 10.00 g of phosphorus is burned in O_2 (g) to form P_4O_10(s), enough heat is generated to raise the temperature of 2950 g of water from 18.0 C to 38.0 C.

-3.075e6 J/mol

Float

Chemistry

Senior High School

567243

A wire having a mass per unit length of 0.500 g/cm carries a 2.00-A current horizontally to the south. a) What are the direction and magnitude of the minimum magnetic field needed to lift this wire vertically upward?

0.245 T, East

Float

Physics

Senior High School

1865340

A hypothetical diprotic acid has pKa1=5 and pka2=7. Could a buffer at pH6 be prepared with this acid? If so how?

Yes

Boolean

Chemistry

Senior High School

1704054

A charge of #-1 C# is at the origin. How much energy would be applied to or released from a # -1 C# charge if it is moved from # (-7 ,1 ) # to #(-1 ,4 ) #?

9.1 * 10^8 J

Float

Physics

University

365684

A compressor blade design tested in a cascade is found to choke with an inlet Mach number of 0.9 when the inlet flow angle is 52 deg. If the ratio of the throat area to the frontal area, A/{eq}H_{1s} {/eq}, for the cascade is) 0.625, calculate the loss of stagnation pressure between the far upstream and the throat and express this as a loss coefficient. Give your comments on what could cause this loss.

0.0486

Float

Physics

University

1647961

The mass of the board is 100 kg, and a 2-meter section of its 6-meter length hangs over the edge. Assume that the entire mass of the board acts at the center of the board. How far from the end of the board can a 60 kg person walk before it will tip over?

1.7 m

Float

Physics

Senior High School

447518

Which of the following statements is true? A) If Q < K, it means the forward reaction will proceed to form more products. B) If Q > K, it means the forward reaction will proceed to form more products. C) If Q = K, it means the reaction is not at equilibrium. D) All of the above are true. E) None of the above are true.

A

Multiple Choice

Chemistry

Senior High School

443773

How many stanzas are in Remember by Joy Harjo?

1

Integer

Other

Senior High School

1856684

Consider an extremely right-skewed distribution with a mean of 15 and standard deviation of 2. 99.7% of its area is within: a. One standard deviation of the mean b. Two standard deviations of the mean c. Three standard deviations of the mean d. 2.5 standard deviations of the mean e. Can't determine from the information given.

e

Multiple Choice

Mathematics

University

31354

The mercalli scale is a scale from ________.

1 to 12

Integer

Physics

Junior High School

1772357

What is the CGS unit of a magnetic field?

Gauss

String

Physics

Senior High School

1272214

An 83-kg fisherman in a 136-kg boat throws a package of mass m = 15 kg horizontally toward the right with a speed of vi = 4.6 m/s. Neglecting water resistance, and assuming the boat is at rest before the package is thrown, find the velocity of the boat after the package is thrown.

-0.32 m/s

Float

Physics

Senior High School

7581

Rushing had an income of $207 million and average invested assets of $2,000 million. Its return on assets is __________.

10.4%

Percentage

Business

Senior High School

2986

Conduct a hypothesis test at the 5% level of significance to determine if the percent at her school is less than 40%. Show your hypothesis your calculated z or t score and your decision to accept or not accept the null hypothesis.

0.0217

Float

Mathematics

University

679213

A force of 7 pounds is required to stretch a 40 inch spring to a length of 43 inches. How much work will be done in stretching the spring an additional 6 inches from its already extended length of 43 inches?

7 lb*ft

Float

Physics

Senior High School

1579513

Find the volume of the solid obtained by rotating the region bounded by the given curves about the speciﬁed axis. x+y = 3, x = 4−(y−1)^2; about the x-axis.

108π/5 or 67.86

Fraction

Mathematics

University

651891

Does the absolute error of a burette change when different volumes are measured?

No

Boolean

Physics

Senior High School

120064

An outfielder throws a {eq}0.150 - \mathrm{kg} {/eq} baseball at a speed of {eq}40.0\ \mathrm{m/s} {/eq} and an initial angle of {eq}30.0^{\circ} {/eq}. What is the kinetic energy of the ball at the highest point of its motion?

90 J

Integer

Physics

Senior High School

856868

On the article the cost of children by RUTH MACE .WHAT IS THE MEANING OF THE WORD APACE ACCORDING TO THE PARAGRAPH?

rapidly, quickly, swiftly

String

Other

Senior High School

1158582

In a series RLC AC circuit, the resistance is 10{eq}\Omega {/eq}, the inductance is 13mH, and the capacitance is 14{eq}\mu {/eq}F. The maximum potential is 70V, and the angular frequency is 100rad/s. calculate the maximum current in the circuit. Answer in units of A

0.098 A

Float

Physics

University

1809068

Suppose you just bought a 10-year annuity of $10,000 per year at the current interest rate of 10 percent per year. What happens to the value of your investment if interest rates suddenly drop to 5%?

$77,217.35

Float

Finance

University

1730882

A charge of 0.250 C moves vertically in a field of 0.500 T that is oriented some angle from the vertical. If the charge's speed is 2.0 {eq}\times {/eq} 10{eq}^2 {/eq} m/s, what angle(s) will ensure that the force acting on the charge is 5.0 N?

36.87^° and 143.13^°

Float

Physics

Senior High School

1075085

Rachel is using a Bunsen burner to heat a solution. Which of the following would let her control the rate of reaction in the solution? replacing the amount of flammable gas used with different rates controlling the amount of air entering the combustion tube placing the burner in open surroundings

B

Multiple Choice

Chemistry

Junior High School

791177

Viera Corporation is considering investing in a new facility. The estimated cost of the facility is $2,000,045. It will be used for 12 years, then sold for $716,870. The facility will generate annual cash inflows of $382,550 and will need new annual cash outflows of $154,990. The company has a required rate of return of 7%. Calculate the internal rate of return. (Use five decimal places for calculations. Round final answer to 0 decimal places, e.g. 15%.)

8%

Percentage

Business

University

631372

Do equity accounts on a balance sheet need to contain the name of the member?

No

Boolean

Business

Senior High School

527359

For your senior project, you would like to build a cyclotron that will accelerate protons to 10% of the speed of light. The largest vacuum chamber you can find is 50 cm in diameter. What magnetic field strength will you need?

1.25 T

Float

Physics

University

724757

Fuller Company builds swimming pools. Fuller budgets that they will sell 13 pools during the month of April at a price of $20,317 per pool. Actual pools sold by Fuller during April were 16 pools at a price of $20,617 per pool. What is the Sales Volume Variance for April? If the variance is unfavorable, use a negative sign right before the number with no space in between.

60951

Integer

Business

Junior High School

1704303

A 82 kg researcher absorbs {eq}9.1 \times 10^8 {/eq} neutrons in a work day. The energy of the neutrons is 9 MeV. The relative biological efficiency (RBE) for fast neutrons is 10. The equivalent dosage of the radiation exposure, in mrem, is closest to: A. 48 B. 16 C. 5.0 D. 160 E. 10

B

Multiple Choice

Physics

University

1912046

How much would a vacation to Japan cost in the United States dollars if a vacation package for 245,254.50 Yen was purchased? Assume the exchange rate is 99.90 Yen per US dollar.

$2,545.09

Float

Finance

Primary School

1822983

A spring has a natural length of {eq}8 in{/eq}. If it takes a force of {eq}16 lb{/eq} to compress the spring to a length of {eq}6 in{/eq}., how much work is required to compress the spring from its natural length to {eq}7 in{/eq}.? (Round your answer to four decimal places)

0.3333 lb ft

Float

Physics

Senior High School

149558

There are two identical, positively charged conducting spheres fixed in space. The spheres are 46.0 cm apart (center to center) and repel each other with an electrostatic force of {eq}F_1 = 0.0720 \ \mathrm{N} {/eq}. Then, a thin conducting wire connects the spheres, redistributing the charge on each sphere. When the wire is removed, the spheres still repel but with a force of {eq}F_2 = 0.100 \ \mathrm{N} {/eq}. Using this information, find the initial charge on each sphere, {eq}q_1 {/eq} and {eq}q_2 {/eq}, if initially {eq}q_1 < q_2 {/eq}. The Coulomb Force constant is {eq}k = 1/(4 \pi \epsilon_0) = 8.99 \times 10^9 \ \mathrm{Nm^2/C^2} {/eq}.

q1=0.723e-6 C, q2=2.35e-6 C

List

Physics

University

580139

What is a theme of "Song of the Open Road"? Travel allows one to connect with and feel the fellowship of others. Travel demands that one use caution and common sense. Travel gives one a chance to realize the beauty and safety of home. Travels forces one to question oneself and others.

A

Multiple Choice

Other

Senior High School

245081

We throw a die $100$ times. Using Chebyshev inequality find the lower bound on the probability that the sum of spots in these $100$ throws is bigger than $200$. Let $X = $ number of spots after $100$ throws We are looking for $t$ such that $P(X \ge 200) \ge t$. What is $p$ in this case (Bernoulli distribution with $n=100$)? How to find the estimation $P(X \ge 200) \ge t$ using Chebyshev inequality?

0.987

Float

Mathematics

University

73266

A 10.0 kg block is released from rest at the top of the track at point A that is 3.00 m high. The track is frictionless except for the horizontal portion between points B and C, which has a length of 6.00 m. The block travels down the track, hits a spring of force constant 2250 N/m, and compresses the spring before momentarily coming to rest. If the coefficient of friction is 0.328, how far is the spring compressed?

0.300 m

Float

Physics

Senior High School

780536

A Hall probe gives a reading of 1.5 {eq}\mu {/eq}V for a current of 2 A when it is placed in a magnetic field of 1 T. What is the magnetic field in a region where the reading is 2 {eq}\mu {/eq}V for 1.7 A of current?

1.6 T

Float

Physics

Senior High School

656175

Among the following, which is the most important strategy for an underweight person who wishes to achieve a healthy body weight?

A

Multiple Choice

Health

Junior High School