unique_id stringlengths 2 40 | problem stringlengths 11 5.06k | answer stringlengths 0 159 |
|---|---|---|
1131067 | Write an equation for the simple harmonic motion of a ball on a spring that starts at its lowest point of 6 inches below equilibrium, bounces to it maximum height of 6 inches above equilibrium and returns to its lowest point in a total of 2 seconds. (think about amplitude and period) | 6*sin(πt) |
667568 | Identify the term:
This WBC secretes histamine. | mast cells |
712060 | Which unit, megagrams or grams, would be more suitable for expressing the mass of an automobile? Why? | megagram |
2004481 | Assuming that the gases are ideal, calculate the amount of work done (in joules) in the following reaction. Is work done on or by the system?
A reaction in the Mond process for purifying nickel(0) tetracarbonyl at {eq}50-100 ^{\circ} C
{/eq}.
Assume one mole of nickel is used and a constant temperature of {eq}75 ^{\... | 8684J |
1131704 | What is the limit of #x^2e^x# as x goes to infinity? | ∞ |
1904374 | If the firm could reduce the average age of its inventory from 73 days, to 63 day, by how much would it reduce its dollar investment in working capital? | 2.74% |
1538372 | What is the length of the longest pipe that can be carried horizontally around a corner from a 9 ft wide hallway into a 6 ft wide hallway? | 21.07 |
1808790 | A 24.0 kg wombat is moving horizontally at 1.90 m/s when it strikes an empty aluminum can attached to a wall and comes to rest after crumpling the can by 4.00 cm against the wall. What was the average force exerted on the can? | 1080 N |
1211937 | After takeoff, an airplane climbs at an angle of 30 degrees at a speed of 215 ft/sec. How long does it take for the airplane to reach an altitude of 13,000 ft? (round your answer to one decimal place.) | 120.9 s |
958236 | It takes a boat 5 hours to travel upstream. It takes the same boat 4 hours to travel the same distance downstream. If the current is 1 mile per hour, what is the speed of the boat in still water? | 9 mph |
69045 | Amanda likes to eat bananas and apples with her lunch between classes. She also keeps a close eye on her spending each week since she is in college and cannot afford the time to work too much. She has budgeted a certain amount of money each week for apples and bananas. If she spends all of this budget on apples, she ca... | 0.6 apples |
928969 | A portable CD player was recently introduced that has a "special power saving technology." The manufacturer claims that with only two standard AA batteries (together: 3.0 V, 20 kJ energy storage), the player can be played for about 25 hours. What is the approximate resistance in the CD player's electrical circuitry? | 39Ω |
2073102 | How many siblings did Booker T. Washington have? | 3 |
604267 | In the sentence, "Tim's family took a trip to Paris last September," what is the direct object? | Trip |
1578469 | Evidence from which type of data supports the common origin of all life on Earth? | Genetic Data |
1247821 | An object, after being released from its circular path, travels the distance OA at the same time it would have moved from O to P on the circle. The speed of the object on and off the circle remains constant at the same value. Suppose that the radius of the circle is 3.6 m and the angle is 25C. What is the distance OA? | 1.570 m |
1167276 | A solid 0.3 kg ball rolls smoothly from rest (starting at height H = 6.0 m) until it leaves the horizontal section at the end of the track, at height h = 2.3 m. How far horizontally from end point does the ball hit the floor. | 5.0 m |
818894 | An estimate of the efficiency-loss ratio of taxes on labor income is 15 percent.
The efficiency-loss ratio of taxes on capital income is estimated to be 45 percent.
Assuming that these estimates are accurate, calculate the change in well-being that would result from a $10 billion reduction in taxes on capital income,... | 3 billion |
1746352 | Define asset turnover | Net Sales / Total Assets |
1323766 | At room temperature, what fraction of the nitrogen molecules in the air are moving at less than 300 m/s? | 0.218 |
1798038 | What is the amount assigned to each share of stock that is printed on the stock certificate called? | par value |
523483 | Use the Divergence Theorem to calculate the surface integral {eq}\displaystyle \iint_S \mathbf F \cdot d\mathbf S
{/eq}; that is, calculate the flux of {eq}\mathbf F
{/eq} across {eq}S
{/eq}.
{eq}\mathbf F(x,\ y,\ z) = x^2 y\mathbf i + x y^2\mathbf j + 3 x y z \mathbf k,\ S
{/eq} is the surface of the tetrahedron... | 56/15 |
1958878 | An engine rejects energy {eq}1,933\ J
{/eq} to the cold reservoir while performing {eq}731\ J
{/eq} of work. Calculate the engine's efficiency. | 27.44% |
626294 | An investment offers a total return of 12 percent over the coming year. Janet Jello thinks the total real return on this investment will be only 8.8 percent. What does Janet believe the inflation rate will be over the next year? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 dec... | 3.20% |
1838514 | A prankster drops a water balloon from the top of a building on an unsuspecting person on the sidewalk below. If the balloon is travelling 35.4 m/s when it strikes a person's head (1.5 m above the ground), how tall is the building? Neglect air resistance. | 65 m |
2100135 | In 1961, two neurosurgeons were able to reduce seizure activity in epileptic patients by severing the corpus callosum. the neurosurgeons were: | Vogel and Bogen |
24720 | A variable force of {eq}x^2 - 2x
{/eq} pounds moves an object along a straight line when it is {eq}x
{/eq} feet from the origin. Determine the work {eq}W
{/eq} done in moving the object from {eq}x = 2
{/eq} to {eq}x = 3
{/eq} feet. | 4/3 ft⋅lb |
546798 | Drug side effects are endless and can vary depending on the ____________. | Individuals |
1848114 | A 4.6-kg block slides down an inclined plane that makes an angle of 26 with the horizontal. Starting from rest, the block slides a distance of 2.6 m in 4.9 s. Find the coefficient of kinetic friction between the block and plane. | 0.46 |
2029325 | The balance sheet caption for common stock is as follows. What accounts for the difference between issued shares and outstanding shares?
Common stock, $10 par value 7,000,000 shares authorized
5,700,000shares issued
5,500,000 shares outstanding | Treasury shares |
647618 | Silver nitrate and calcium chloride solutions produce a heavy, white precipitate when mixed. Chemical analysis indicates that the precipitate is silver chloride. What mass of silver chloride would be produced if 95 mL of 6.0 M silver nitrate is mixed with 40 mL of 6.0 M calcium chloride? | 68.79 grams |
354825 | JB Chemical currently discharges liquid waste into Calgary's municipal sewer system. However, the Calgary municipal government has informed JB that a surcharge of $4 per thousand cubit liters will soon be imposed for the discharge of this waste. This has prompted management to evaluate the desirability of treating its ... | 25.77% |
523259 | Which system has the least amount of government involvement in the economy? | Capitalism |
1865023 | who revised Wegener's theory by adding the convection currents under the Earth as the cause for the movement? | Arthur Holmes |
380560 | The gauge pressure in a helium gas is initially 33 atm. After many balloons have been blown up, the gauge pressure has reduced to 6 atm. What fraction of the original amount of helium remains in the cylinder? Assume that the temperature of the gas is constant. (Express your answer using two significant figures.) | 0.18 |
534736 | There is a bicycle wheel resting against a small step whose height {eq}h = 0.132
{/eq} m. The weight and radius of the wheel are {eq}W = 27.3
{/eq} N and {eq}r = 0.324
{/eq} m, respectively. A horizontal force is applied to the axle of the wheel. As the magnitude of increases, there comes a time when the wheel just ... | 37.10 N |
44087 | You've borrowed $15,000 on margin to buy shares in Disney, which is now selling at $50 per share. Your account starts at the initial margin requirement of 50%. The maintenance margin is 47%. Two days later, the stock price falls to $48 per share.
How low can the price of Disney shares fall before you receive a margin ... | $47.17 |
501297 | How does the pH of soil change? | By acidic rain or liming |
1364965 | Your firm is considering purchasing a machine with the following annual, end-of-year, book investment accounts.
Purchase Date Year 1 Year 2 Year 3 Year 4
Gross investment $55,000 $55,000 $55,000 $55,000 $55,000
Less: Accumulated depreciation 0 13,750 27,500 41,250 55,000
Net investment $55,000 $4... | 19.27% |
1575704 | Assume the following information for the month of August.
June sales=$40,000; July sales= $65,000; August sales= $52,850. All sales are on account and are collected as follows: 20% in the current month, 50% in the month following, 25% in the second-month following, and 5% uncollectible. The beginning cash balance is $... | $7,023 |
1536455 | A physics professor is pushed up a ramp inclined upward at an angle of 28.0 degrees above the horizontal as he sits in his desk chair that slides on frictionless rollers. The combined mass of the professor and chair is 82.0 kg. He is pushed a distance of 2.00 m along the incline by a group of students who together exer... | 3.22 m/s |
1076844 | Evaluate {eq}\displaystyle \int_C (x - 2 y)\ dx + (2 x - y)\ dy
{/eq}, where C is the portion of the ellipse {eq}\displaystyle \dfrac {x^2}{16} + \dfrac {y^2} 4 = 1
{/eq} from {eq}(0,\ 2)
{/eq} to {eq}(-4,\ 0)
{/eq}. | 10+8π |
2022267 | A light spring of natural (equilibrium) length 10cm with force constant k=500 N/m is embedded vertically in the ground. A ball of mass m = 0.15 kg is placed on top of the spring, which is compressed 8.0cm; when released, the spring pushes the ball. When the ball reaches ground level, it leaves its light supporting plat... | 1.088 m |
570405 | 15. After falling from rest from a height of 30 m, a 0.50-kg ball rebounds upward, reaching a height of 20 m. If the contact between ball and ground lasted 2.0 ms, what average force was exerted on the ball? | 11 kN |
1739888 | Change the integral to polar coordinates and then evaluate the integral.
{eq}\int_{-2}^{2}\int_{2}^{\sqrt{8-x^2}}\frac{1}{y}dydx{/eq} | 0.9858 |
272436 | What is the cut-off salary for elementary school teachers in the US in the top 10%, given that their salaries are normally distributed with a mean of $29,000 and a standard deviation of $2,000? | 31564 |
1979226 | Rutherford bombarded nitrogen gas with alpha particles, causing some of the nitrogen to change into oxygen by a process of | artificial transmutation |
138634 | Find the volume of the solid that lies within the sphere {eq}x^2 + y^2 + z^2 = 9{/eq}, above the xy-plane and outside the cone {eq}\displaystyle z = 8 \sqrt{x^2 + y^2}{/eq}. | 0.4367 |
1920586 | You have invested equally in the following four security portfolio, market portfolio, risk free asset, a stock with a beta of 1.7, and a bond with a beta of 0.6.
What is the beta of your portfolio?
(Show your answer to 2 decimal places (e.g., 1.23).) | 0.83 |
1021517 | Nachman Industries just paid a dividend of D0 = $1.32. Analysts expect the company's dividend to grow by 30% this year, by 10% in Year 2, and at a constant rate of 5% in year 3 and thereafter. The required return on this low-risk stock is 9%. What is the best estimate of the stock's current market value? | $44.85 |
1221958 | What does PEC stand for in special education? | Picture Exchange Communication |
1208198 | In 1967, tuition, room & board at a private college costs $3000. In 2007, the same services cost $48,000. Find the average annual rate of college-cost inflation, using the Rule of 72. Hint: first, estimate the number of doubles. Since each double represents 72 compounding percents, you can then find the total number of... | 7.2% per year |
243937 | An object is at rest at #(8 ,3 ,8 )# and constantly accelerates at a rate of #7/4 m/s^2# as it moves to point B. If point B is at #(6 ,3 ,4 )#, how long will it take for the object to reach point B? Assume that all coordinates are in meters. | 2.26s |
504926 | Convert the following measurement: 0.017 g/L = _____ mg/dL | 1.7 mg/dL |
598796 | Year-to-date, Oracle had earned a 1.40 percent return. During the same time period, Valero Energy earned 7.68 percent and McDonald's earned 0.44 percent. If you have a portfolio made up of 20 percent Oracle, 30 percent Valero Energy, and 50 percent McDonald's, what is your portfolio return? (Round answer to 2 decimal p... | 2.80% |
452228 | How many people were injured in the Newark Riots? | 727 |
2032316 | What branch of psychology studies abnormal behavior? | Abnormal Psychology |
717867 | The maximum applied force of compression that one man's thighbone can endure without breaking is {eq}7.6 \times 10^4\, N
{/eq}. The minimum effective cross-sectional area of the bone is {eq}3 \times 10^{-4}\, m^2
{/eq}, its length is {eq}0.54\, m
{/eq}, and Young's modulus is {eq}Y = 9.4 \times 10^9\, N/m^2
{/eq... | 0.91 m |
1278377 | How do you calculate the energy needed to heat water? | q = cmΔT |
1871058 | What plant cell structures capture sunlight to produce sugars? | Chloroplasts |
1363989 | What part of speech is really? | adverb |
1088702 | You are considering buying 100 shares of WalMart stock. In any given week, the stock can either increase in value by 3.8% or decrease in value by 2.2%. The probability that the stock increases is 0.63; otherwise, the stock decreases in price. How the stock performs in any given week is independent of how it has perform... | 0.0158 |
614806 | What is the theoretical yield in grams of NaCl given the following information?
1) 24.94mL of HCl
2) 24.80mL of NaOH
Concentration of HCl is 1.093 M
Concentration of NaOH is .9138 M | 1.32 g |
236072 | Find a solution to the limit $$\lim_{x \rightarrow \infty} \left(\frac{20x}{20x+4}\right)^{8x}$$ using only knowledge from a first quarter (or semester) calculus course which hasn't covered series expansions or Taylor series, but has covered L'Hopital's rule. | e^{-8/5} |
613660 | Bayou Okra Farms just paid a dividend of $2.65 on its stock. The growth rate in dividends is expected to be constant 4.5 percent per year indefinitely. Investors require a return of 15 percent for the first three years, a return of 13 percent for the next three years, and a return of 11 percent thereafter. What is the ... | $40.73 |
1072628 | Let {eq}\; \mathrm{F}(x, y, z) = z \tan^{-1} (y^2) \mathrm{i} + z^3 \ln(x^2 + 1) \mathrm{j} + z \mathrm{k}
{/eq}. Find the flux of {eq}\mathrm{F}
{/eq} across the part of the paraboloid {eq}x^2 + y^2 + z = 2
{/eq} that lies above the plane {eq}z = 1
{/eq} and is oriented upward. (Give your answer correct to at leas... | 3π/2 |
1829422 | A certain ionic compound is found to contain .012 mol of sodium, .012 mol of sulfur, and .018 mol of oxygen. What is its empirical formula? | Na2S2O3 |
1507566 | How can I determine the optimal dimension $k$ such that $S^2 \times S^2$ embeds in $\mathbb{R}^k$? Specifically, is there a way to show that the tubular neighborhood of $S^2$ in $\mathbb{R}^3$ is trivial in this context, or is there a different approach to finding the optimal dimension ($5$ or $6$)? | 5 |
36002 | A 50 g bullet traveling with an initial velocity of 400 m/s penetrates into a wall with an average force of 4 {eq}\times
{/eq} 10{eq}^4
{/eq} N. It goes out of the wall with a velocity of 50 m/s. What is the thickness of the wall? | 9.84 cm |
708841 | Would a rug have static or dynamic friction? | static friction |
1568819 | Use Green's theorem to evaluate the line integral {eq}\displaystyle \int_C(4y + \cos(1 = e^{\sin x})) dx + (2x - \sec^2 y) dy, where C is the circle {eq}x^2 + y^2 = 9{/eq} going from (0, 3) to (0, 3) counterclockwise. | -18pi |
678964 | Using a 0.20 M acetate buffer with a pH of 4.7, you add 0.79 mL of 0.12 M HCl to 75 mL of the buffer. What is the new pH of the solution? (Enter your answer to three significant figures.) | 4.69 |
1280485 | If we intercept an electron having total energy 1533 MeV that came from Vega, which is 26 ly from us, how far in light-years was the trip in the rest frame of the electron? | 0.009 ly |
1291945 | After impairing memory, focus, and reasoning, alcohol next causes a deterioration in __________. | muscle control |
1757860 | What is the formula for sodium phosphide? | Na3P |
857540 | What is the relationship between the number of employees who assemble a subassembly and the number produced, given the following data:
Number of Assemblers | One-hour Production (units)
------- | --------
2 | 9
4 | 15
1 | 4
1 | 4
5 | 16
3 | 11
The dependent variable is production. | 0.9827 |
1139753 | A triangle has adjacent sides of 3 inches and 4 inches with an included angle of {eq}\pi/4{/eq}. The possible errors in measurement are 1/18 inch for the sides and 0.02 radians for the angle. Approximate the maximum possible error in the computation of the area. | 0.2253 |
932275 | An investment offers a total return of 14 percent over the coming year. Alan Wingspan thinks the total real return on this investment will be only 8 percent. What does Alan believe the inflation rate will be over the next year? | 5.5% |
153022 | Two point charges {eq}q_1\ = 8.0\ \mu\text{C} {/eq} and {eq}q_2\ = -5.0\ \mu\text{C} {/eq}, are separated by a distance of {eq}r\ = 10.0\ \text{cm}{/eq}.
What is the magnitude of the electrostatic force? | 36 N |
1959527 | Suppose the Department of Transportation decides to take the sample for this time and this time they want to have a margin of error of no more than {eq}0.07{/eq} (or {eq}7\%{/eq}) for the {eq}95\%{/eq} confidence interval. How big does the sample have to be? | 196 |
672377 | An {eq}8.0 \times 10^{-2} \ kg
{/eq} arrow hits the target at 25 m/s and penetrates 3.8 cm before stopping. What average force did the target exert on the arrow? | 658 N |
1034060 | Where did Of Mice and Men start off at? | The bank of a river |
546690 | What time is Emma by Jane Austen set in? | late 18th century |
773222 | A neutral molecule is identified as a tetrafluoride, {eq}\rm
XF_4
{/eq}, where {eq}\rm
X
{/eq} is an unknown atom. If the molecule has a dipole moment of {eq}\rm
0.63\ D
{/eq}, can you give some possibilities for the identity of {eq}\rm
X
{/eq}? | Sulfur |
91446 | What genre is The Devil in the White City? | Non-fiction |
1447262 | Find the double integral {eq}\iint_Ry^2dA, {/eq} where R is the region enclosed by y= 2 - x and {eq}y= x^2. Start by graphing the region R. | 423/28 |
1017313 | How do you say 'seriously' in Spanish? | en serio |
1566801 | Find the area of the finite part of the paraboloid {eq}\; y = x^2 + z^2 \; {/eq} cut off by the plane {eq}\; y = 25 {/eq}. | 530.95 |
290080 | A pendulum clock has a heavy bob supported on a very thin steel rod that is 1.00000 m long at 21.0. The clock keeps perfect time at 21.0 degree C. At 33.0 degree C after how many hours will the clock be off by 3.00 s? | 11.9 h |
1375803 | Calculate the volume of the cone whose radius is 3 units, height is 4 units and whose apex is at the origin in the xy-plane. Use spherical coordinates. | 12π |
2054284 | A simple pendulum of length 1.0 meter with a bob of mass m swings with an angular amplitude of 60 degrees. What would be the tension in the string when its angular displacement is 45 degrees? | 1.121mg |
1034187 | Let $P(x)$ be a real polynomial of degree 6 with the following property: For all $-1\leq x\leq 1$, we have $0\leq P(x)\leq 1$. what is the maximum possible value of the leading coefficient of $P(x)$? | 16 |
783176 | If its tax rate is 30%, calculate the WACC or weighted average cost of capital.
Jack has found a really cheap small cap food stock that markets snacks. It has 10 mm shares outstanding, a share price of $15, 40 mm in debt, and 10 mm in cash. It has a cost of debt of 10%. It expects to generate 30 mm in EBITDA, operatin... | 10.95% |
29145 | Perform the indicated calculation: 35.453 g/mol + 1.0 g/mol
Express your answer with the correct number of significant figures and include units. Don't forget to use the correct format for scientific notation. | 36.4 g/mol |
1426136 | What is the number in front of each molecule in a chemical equation that tells how many of each molecule is present? | coefficient |
232985 | Compute the present value of $1,200 received at the end of each year for the next six years discounted at 8% compounded annually. | $5548 |
806481 | A child's achievement seems more influenced by _____ in the united states than in other nations. | income and ethnicity |
1443192 | Find the theoretical yield of {eq}NaCl
{/eq} using 0.016 mols {eq}HCl
{/eq} with {eq}HCl + NaOH \rightarrow NaCl + H_2O
{/eq} as the equation for the reaction. | 0.016 mol |
949910 | An 88-pound boy has a severe allergic reaction to a test allergen that has been administered. Which dosage of subcutaneous epinephrine would be appropriate for him? | 0.4 mg |
415815 | What is the gravitational force on a 60 k person on the earth, due to the moon? | 0.002 N |
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