unique_id stringlengths 2 7 | problem stringlengths 9 11.6k | answer stringlengths 0 2.49k | answer_type stringclasses 11
values | category stringclasses 16
values | difficulty stringclasses 5
values |
|---|---|---|---|---|---|
2072849 | Compute the integral {eq}\int \int_{_R}^{}x\sin (xy)dA{/eq} where R is the region {eq}0\leq x\leq 1{/eq} and {eq}0\leq y\leq \frac{\pi }{4}.{/eq} | 0.09968 | Float | Mathematics | University |
162418 | How much wind shear is needed to tear apart a tropical storm? | More than 20 knots | Integer | Other STEM | Senior High School |
1615052 | Just Dew It Corporation reports the following balance sheet information for 2014 and 2015.
JUST DEW IT CORPORATION
2014 and 2015 Balance Sheets
Assets Liabilities and Owners' Equity
2014 2015 20142015
Current assets Current liabilities
Cash$ 12,000$ 17,775 Accounts payable$ 46,875$ 55,575
Accounts recei... | ### Particulars2014 2015
Assets:
Current assets
Cash12,0003.20%17,7753.95%
Accounts receivable12,7503.40%16,4253.65%
Inventory50,25013.40%56,92512.65%
Total75,00020%91,12520.25%
Fixed assets
Net plant and equipment300,00080%358,87579.75%
Total assets375,000100%450,000100%
Liabilities and owners' equ... | Percentage | Business | University |
714539 | A car travels 2.85 km in the x-direction, then turns left 62.7{eq}^{\circ}
{/eq} to the original direction and travels an additional distance of 1.37 km. Calculate the x component of the car{eq}'
{/eq}s net displacement. Let: {eq}d_{1}
{/eq} = 2.85 km, {eq}\theta
{/eq} = 62.7{eq}^{\circ}
{/eq}, and {eq}d_{2}
{/eq... | 3.49 km | Float | Physics | Senior High School |
1108332 | How do I reverse the order of integration for the following double integral:
$$ \int_{y=0}^1 \left( \int_{x=\sin^{-1} y^2}^{\pi/2}\frac{dx}{\sqrt{\sin x}} \right) \, dy $$
where $\sin^{-1}(y^2)<x<\pi/2$ and $0<y<1$? | $\int_0^{\pi/2} \int_0^{\sqrt{\sin x}} \frac{dydx}{\sqrt{\sin x}}$ | Expression | Mathematics | University |
1411185 | Is the occupation in which the largest percentage of undergraduate sociology majors find employment? | Social Services | Boolean | Other | University |
1455002 | A 0.636 gram sample of a metal, M, reacts completely with sulfuric acid according to:
M(s) + H_2SO_4(aq) --> MSO_4(aq) + H_2(g)
A volume of 289 mL of hydrogen is collected over water; the water level in the collecting vessel is the same as the outside level. Atmospheric pressure is 756.0 Torr and the temperature is 2... | 55.9 g/mol | Float | Chemistry | Senior High School |
182113 | What are the odds that all 10 people select a name that is NOT themself, when 10 names are placed in a hat and those same 10 members randomly select one at a time, restarting if anyone selects their own name? | 0.3679 | Float | Mathematics | University |
1090142 | Consider that {eq}T = Ax^{2} + Bw
{/eq} is the moment applied on a beam, as a function of constants {eq}A
{/eq} and {eq}B
{/eq}, where {eq}x
{/eq} is the distance to one of the supports and {eq}w
{/eq} is the load distributed per unit length. Determine the dimensions of {eq}A
{/eq} and {eq}B
{/eq} if the equatio... | D | Multiple Choice | Physics | University |
1622556 | Air in a piston-cylinder assembly undergoes a process from state 1, where T{eq}_1
{/eq}=500K, p{eq}_1
{/eq}=100 kPa, to state 2, where T{eq}_2
{/eq}=1200K, p{eq}_2
{/eq}=650 kPa. Using ideal gas model for air, determine the change in specific entropy between these states, in kJ/kg{eq}\cdot
{/eq}K. | 0.3425 kJ/kg⋅K | Float | Physics | University |
1733612 | You always carry 3 wristwatches. One of them is synchronized with your lab's atomic clock. Another is running low on battery and is 3 minutes behind, while the third watch is running 6 minutes fast. All were set to the same time when purchased. List the comparative angular velocities of the three watches in order of gr... | w_3 > w_2 > w_1 | List | Physics | Senior High School |
333536 | An ice cube is given a small displacement from the bottom of the spherical bowl of {eq}\rm 10\ cm
{/eq} radius. Assuming no friction what will be its period of oscillation after being released? | 0.634 s | Float | Physics | University |
1688006 | Solve the given partial differential equation:
{eq}u_{yy} - x^2 u = x^2{/eq} | u(x,y) = C_1(x)e^{xy} + C_2(x)e^{-xy} - 1 | Expression | Mathematics | University |
613512 | Find the limit:
{eq}\lim_{t \to 0} \left ( {e^{-3t}\; \mathbf{i} + \frac{t^2}{\sin^2 t} \;\mathbf{j} + \sin 3t \; \mathbf{k}} \right ){/eq} | <1, 1, 0> | List | Mathematics | University |
1777449 | The main problem with _____ is that the same word can apply to both a universal category and to a particular case.
(a) nominalism
(b) realism
(c) universalism
(d) scholasticism | a | Multiple Choice | Philosophy | University |
1277860 | Use the parametric equations of an ellipse {eq}x=a \cos(\theta), y=b \sin(\theta), \quad 0 \leq \theta \leq 2\pi {/eq} to find the area that it encloses. | ab\pi | Expression | Mathematics | University |
1584949 | How many total atoms are in 1 mole of {eq}H_2O
{/eq}? | 2e+24 atoms | Float | Chemistry | Senior High School |
449576 | The Leon Company had the following budgeted sales for the first half of the current year:
Cash Credit
Jan. $70,000 $340,000
Feb.$50,000 $190,000
Mar. $40,000 $135,000
Apr. $35,000 $120,000
May $45,000 $160,000
Jun. $40,000 $140,000
The company is in the process of preparing a cash budget and must determine th... | c | Multiple Choice | Business | University |
113363 | Given an annual opportunity cost of 10%, what is the future value of a $1,000 ordinary annuity for 1 year? | $1,100 | Integer | Business | Senior High School |
1236934 | An object, previously at rest, slides #4 m# down a ramp, with an incline of #pi/12 #, and then slides horizontally on the floor for another #8 m#. If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient? | 0.087 | Float | Physics | Senior High School |
1607291 | Steam at 10 MPa, 600 {eq}^\circ
{/eq}C, enters the first-stage turbine of an ideal Rankine cycle with reheat. The steam leaving the reheat section of the steam generator is at 500 {eq}^\circ
{/eq}C, and the condenser pressure is 6 kPa. If the quality at the exit of the second-stage turbine is 90%, determine the cycl... | 48.6% | Percentage | Physics | University |
1921882 | Atwater Inc. issued twenty-year, 4% semiannual coupon bonds at par (par value is $1,000). The bond price is quoted at 112.5% of the par. What is its pre-tax cost of debt?
1.58%
2.23%
3.15%
4.46% | 3.15% | Percentage | Finance | University |
1738321 | Bo's Home Manufacturing has 260,000 shares outstanding that sell for $43.41 per share. The company has announced that it will repurchase $46,000 of its stock.
What will the share price be after the repurchase?
a. $43.59
b. $37.83
c. $43.41
d. $40.71
e. $43.23 | $43.59 | Float | Business | Senior High School |
1202040 | Evaluate the double integral {eq}\iint_{D} \rho(x,y) dxdy{/eq}, where the region D is defined by {eq}y \geq 0{/eq} and {eq}1 \leq x^{2} + y^{2} \leq 9{/eq}, the density is {eq}\rho(x,y) = \sqrt{(x^{2} + y^{2})}{/eq}, and using polar coordinates {eq}x = r \space cos(\theta){/eq} and {eq}y = r \space sin(\theta){/eq}. | 26π/3 | Fraction | Mathematics | University |
1075752 | My physics professor (at a T10 university) was unable to explain this. He mentioned something about a bivector, but fundamentally did not say why $w_{z} = \frac{d\theta}{dt}$, and that is what my question is. I would also like more intuition on why the angular velocity is in the $z$-direction. He said that the accurate... | $\vec{\omega} = (0, 0, \frac{ d \theta }{dt} )$ | Expression | Physics | University |
397082 | How do you calculate voltage drop? | V=IR | Expression | Physics | Senior High School |
1148665 | In the laboratory, a general chemistry student measured the pH of a 0.598 M aqueous solution of acetylsalicylic acid (aspirin), {eq}HC_{9}H_{7}O_{4}
{/eq} to be 1.887. Use the information she obtained to determine the {eq}K_{a}
{/eq} for this acid. | 2.88e-4 | Float | Chemistry | University |
499201 | Assume the total cost of a college education will be {eq}\$290,000
{/eq} when your child enters college in {eq}18
{/eq} years. You presently have {eq}\$55,000
{/eq} to invest. What annual rate of interest must you earn on your investment to cover the cost of your child's college education? | 9.68% | Percentage | Finance | Senior High School |
212624 | A block is shot up a frictionless 40 degree slope with initial velocity {eq}v{/eq}. It reaches height {eq}h{/eq} before sliding back down. The same block is shot up with the velocity up a frictionless 20 degree slope. On this slope, the block reaches height {eq}4h{/eq}. What is the initial velocity of the block? | 2v | Expression | Physics | Senior High School |
760054 | Find {eq}\frac{dy}{dx}{/eq} for {eq}y =\frac{ (2x + 3)^3}{(4x^2 - 1)^8}{/eq}. | -{\frac{2(2x + 3)^{2}(52x^{2} + 96x + 3)}{(4x^{2} - 1)^{9}}} | Expression | Mathematics | University |
1768118 | Wolfpack Construction has the following account balances at the end of the year
Equipment $25,500
Accounts payable 2,900
Salaries expense 32,500
Common stock 10,000
Land 17,500
Notes payable 19,500
Service revenue 38,500
Cash 5,900
Retained earnings ?
Required:
Prepare a balance sheet for Wo... | BALANCE SHEET
EQUITY AND LIABILITIES:
Shareholder's fund:
*share capital
**common stock $10000
**Retained earnings $16500
Non current liabilities:
Current liabilities:
*Accounts payable $2900
*Notes payable $19500
Total $48900
ASSETS:
Non current assets:
*Land $17500
*Equipment $25500
Current assets:
*Cash $5900
Total ... | List | Business | Senior High School |
1025169 | Is applied to roads in wintertime so that the ice will melt at a lower temperature? | Salt | String | Chemistry | Primary School |
1881401 | When an individual's body increases its metabolic rate to compensate for an increased food intake, this is the process known as? | adaptive thermogenesis | String | Biology | Senior High School |
1042538 | A jogger ran {eq}313{/eq} miles in {eq}30{/eq} minutes, and the next {eq}223{/eq} miles in {eq}20{/eq} minutes. What was her average speed for the whole run? | 10.72 miles/minute | Float | Physics | Junior High School |
1203627 | Let $x_n$ be the $n$ roots of unity. Does there exist a closed expression for $$ F_n:=\prod_{i=1}^n(1+x_i+x^{n-1}_i)?$$ | $F_n= 4\sin(\frac {n\pi}{3})\sin(\frac {2n\pi}{3})$ | Expression | Mathematics | University |
41040 | When did Philip Roth graduate from high school? | 1950 | Integer | History | Junior High School |
674224 | Where in the motion does a bowling ball attached to a piece of string have the most kinetic energy?
a. at the top on either side
b. at the top on the side where the ball is released
c. at the bottom of its motion
d. all places have the same kinetic energy | c | Multiple Choice | Physics | Junior High School |
1660877 | How old was Benjamin Franklin when he wrote The Whistle? | 73 years old | Integer | History | Junior High School |
592302 | I'm trying to find the limit: $$L= \lim_{n \to \infty} \left(\sum\limits_{j=0}^n {2n \choose j}(1+p)^j\right)^\frac{1}{2n}$$ We know that: $$\left( \sum\limits_{j=0}^{2n} {2n \choose j}(1+p)^j\right)^\frac{1}{2n}=2+p$$ I suspect: $$\lim_{n \to \infty}\left( \sum\limits_{j=n+1}^{2n} {2n \choose j}(1+p)^j\right)^\frac{1}... | 2+p | Expression | Mathematics | University |
711780 | Let $X$ ~ $U(0,3)$, find the density $f(u)$ for $U = X^3$ and calculate its value at $u=2$. | $\frac{1}{9}u^{-2/3}$ | Expression | Mathematics | University |
921828 | Prepare the journal entries to record these transactions on Opps Company's books under a perpetual inventory system:
On March 2, Novy Company sold $916,000 of merchandise to Opps Company, terms 2/10, n/30. The cost of the merchandise sold was $597,000.
On March 6, Opps Company returned $91,600 of the merchandise purc... | DateGeneral JournalDebitCredit
March 2Merchandise Inventory$916,000
Accounts Payable $916,000
March 6Accounts Payable$54,900
Merchandise Inventory $54,900
March 12Accounts Payable$861,100
Merchandise Inventory $17,222
Cash $843,878 | List | Business | University |
1085205 | Find the elasticity of demand E for the demand function q = 42000-10p^2. | E=|-20(p^2/q)| | Expression | Mathematics | University |
1723262 | Newly issued three-month T-bills with a par value of $10,000 sold for $9,700. Compute the T-bill discount. | $300 | Integer | Finance | Senior High School |
1891419 | Matt earns $16 per hour and the price of the consumption good is $2 per unit. At his current consumption bundle, Matt's marginal utility of leisure is 120 units per extra hour of leisure and the marginal utility of consumption is 10 units per extra unit of consumption. Is it possible that he is maximizing his utility?
... | B | Multiple Choice | Economics | University |
848757 | Where did I go wrong in my calculation of the infinite sum $\sum_{k=0}^{\infty}\frac{1}{1-16k^2}$ using the Fourier series for $f(x) = \sin(x)$ on $[0, \frac{\pi}{2}[$? My approach resulted in a value of $\frac{1}{2}$, but numerical evaluation and Wolfram suggest the correct answer is $\frac{4+\pi}{8}$. | \frac{1}{2}+\frac{\pi}{8} | Expression | Mathematics | University |
102041 | Who is the closest relative to modern humans? | Neanderthals | String | Biology | Junior High School |
889490 | {eq}\int \frac{16 }{(1 - x^2)^{3/2}} {/eq} | {eq}16\frac{x}{\sqrt{1 - x^2}} + C{/eq} | Expression | Mathematics | University |
34071 | Evaluate {eq}\int_\frac{\pi}{6}^\frac{\pi}{3} \frac{\cos^3 x}{\sqrt {\sin x}} dx | 0.24 | Float | Mathematics | University |
2061998 | Let S = $55, K = $50, r = 5% (continuously compounded), T = 0.5, and d = 0.
Let u = 1.1, d = 0.9, and n = 1.
What are D and B for a European call?
a. D = 0.8839; B = 47.9728
b. D = 1.2209; B = 46.2677
c. D = 1.1855; B = 42.1202
d. D = 0.9545; B = 46.0834
e. D = 0.6892; B = 51.4291 | d | Multiple Choice | Finance | University |
501073 | What is the derivation of the factor demand curve in relation to profit maximization with the help of isoprofit and the production function? | {\dfrac{\partial \pi}{\partial k}} = P \frac{\partial f}{\partial k} - r = 0, {\dfrac{\partial \pi}{\partial l}} = P \frac{\partial f}{\partial l} - w = 0 | Expression | Economics | University |
2101448 | Calculate the maclaurin series for $\frac{1}{\sqrt{\cos{x}}}$. | $\frac{1}{\sqrt{\cos{x}}}=1+\frac{x^2}{4}+\frac{7 x^4}{96}+\cdots$ | Expression | Mathematics | University |
1974641 | Oregon Forest Products will acquire new equipment that falls under the five-year MACRS category. The cost is $460,000. If the equipment is purchased, the following earnings before depreciation and taxes will be generated for the next six years.
Earnings before Depreciation
Year 1 $149,000
Year 2 200,000
Year 3 130,... | -15105.02 | Float | Finance | University |
1181181 | __________ is an inflammation of the walls of the heart.
A. pancarditis
B. extravasation
C. pericarditis
D. angiectasis | C | Multiple Choice | Health | Senior High School |
582663 | Brendan Ltd has annual sales of $200 million with a cost of goods sold of $150 million.
They keep an average inventory of $60 million.
On average, the firm has accounts receivable of $50 million.
The firm buys all raw materials on credit, its trade credit terms are net 30 days and it pays on time.
The firm's manage... | 72 days | Integer | Business | University |
492690 | Solve the following initial value problem $x^2y''-2xy'+2y=x^2, x>0, y(1)=5$ | y = c_1 x + (5-c_1)x^2 + x^2 logx | Expression | Mathematics | University |
1400438 | A container with metal has a mass of {eq}3.6 \ kg
{/eq} and contains {eq}14 \ kg
{/eq} of water. A {eq}1.8 \ kg
{/eq} piece of the metal initially at a temperature of {eq}180^\circ C
{/eq} is dropped into the water. The container and the water initially have a temperature of {eq}16.0^\circ C
{/eq} and the f... | 0.4121 kJ/kg | Float | Physics | Senior High School |
1113911 | Who is Jake Wexler's partner in The Westing Game? | Sun Lin Hoo | String | Other | Junior High School |
1792877 | A box contains 10,000 tickets: 4,000 0's and 6,000 1's. And 10,000 draws will be made at random without replacement from this box. Which of the following best describes the situation, and why?
i) The number of 1's will be 6,000 exactly.
ii) The number of 1's is very likely to equal 6,000, but there is also some small... | iii | Multiple Choice | Mathematics | University |
2075102 | The mean of a population is 74 and the standard deviation is 12. The shape of the population is unknown. Determine the probability of each of the following occurring from this population: A random sample of size 160 yielding a sample mean of between 73 and 76. | 0.8353 | Float | Mathematics | University |
121547 | Determine the length of the arc of the curve {eq}x^2 = (y - 8)^3{/eq} from point {eq}P(1, \; 9){/eq} to point {eq}Q(27, \; 17){/eq}. | 27.28849 | Float | Mathematics | University |
1214580 | Golfer tiger woods has agreed to be the subject of a cover story for golf magazine, but he will only do the interview if the publisher lets him approve the writer and the photographer. this is an example of a/an ___________ controlling the content of the media. | news source | String | Other | Senior High School |
149356 | Consider the infinite sum $s=1+1/2^2-1/3^2-1/4^2+1/5^2+1/6^2-...$. Why does WolframAlpha give a different answer initially, but then seem to converge when adding more terms? Find an analytical expression for the sum. | \frac{\pi^2}{48} + C | Expression | Mathematics | University |
124873 | Set point theory implies that people who have:
a. a low set point will often regain any weight that they lose
b. a high set point will often regain any weight that they lose
c. a high set point will often lose any weight that they gain
d. a low set point will have the hardest time losing weight | b | Multiple Choice | Biology | Senior High School |
666880 | Alpha-linolenic acid is one of a large group of fatty acids that are found in fish oil, walnuts and canola seeds. These nutrients are essential for good health. All of these fatty acids consist of an unsaturated hydrocarbon that is terminated by a carboxylic acid functional group. When a 14.8154 g sample of unknown fat... | 8 | Integer | Chemistry | University |
285706 | Convert the following matrix to reduced row echelon form:
$\left(
\begin{array}{ccccccc}
1 & 0 & -7 & 7 & 9 & -2 & -3 \\
-4 & 10 & 6 & 7 & -5 & 0 & -2 \\
-6 & -8 & -1 & -8 & 2 & -2 & 2 \\
\end{array}
\right)$. | $\left( \begin{array}{ccccccc} 1 & 0 & 0 & -\frac{49}{303} & -\frac{1}{3} & \frac{36}{101} & \frac{43}{303} \\ 0 & 1 & 0 & \frac{757}{606} & \frac{1}{6} & -\frac{6}{101} & -\frac{125}{303} \\ 0 & 0 & 1 & -\frac{310}{303} & -\frac{4}{3} & \frac{34}{101} & \frac{136}{303} \end{array} \right)$ | Matrix | Mathematics | University |
300082 | Find the Jacobian of the vector valued function $\begin{pmatrix} f(x,y,z)\\ g(x,y,z) \\ h(x,y,z)\end{pmatrix}$ where $f(x,y,z) = \sqrt[3]{\frac{x}{y z}}$, $g(x,y,z) = \sqrt{\frac{y}{x}}$, and $h(x,y,z) = \sqrt{x+z}$. | \left(\begin{array}{ccc}\frac{1}{3 y z \sqrt[3]{\frac{x}{y z}}^2} & -\frac{x}{3 y^2 z \sqrt[3]{\frac{x}{y z}}^2} & -\frac{x}{3 y z^2 \sqrt[3]{\frac{x}{y z}}^2} \\-\frac{y}{2 x^2 \sqrt{\frac{y}{x}}} & \frac{1}{2 x \sqrt{\frac{y}{x}}} & 0 \\ \frac{1}{2 \sqrt{x+z}} & 0 & \frac{1}{2 \sqrt{x+z}} \\ \end{array}\right) | Matrix | Mathematics | University |
1652814 | Is education a public or a private good? Support the answer using economic theory. | public good | String | Economics | University |
64375 | The following overhead data are for a department of a large company.
Actual Costs Incurred Static Budget
Activity level (in units) 500 450
Variable costs:
Indirect materials $5,950 $5,382
Electricity $1,112 $1,008
Fixed costs:
Administration $2,770 $2,800
Rent $5,120 $5,100
Required:
Construct a flexible bud... | Activity level 500 Units
Variable Costs:
Indirect Materials: Actual $5,950, Flexible Budget $5,980, 30 F
Electricity: Actual $1,112, Flexible Budget $1,120, 8 F
Fixed Costs:
Administration: Actual $2,770, Flexible Budget $2,800, 30 F
Rent: Actual $5,120, Flexible Budget $5,100, 20 U
Total: Actual $14,952, Flexible Budg... | List | Business | University |
235591 | Calculate the volume of 3 M HCl needed to change the pH of 75 mL of the undiluted buffer solution by one pH unit (buffer capacity). Undiluted buffer solution is prepared by mixing 100 mL of 1.0798 M acetic acid with 100 mL of 1.000 M sodium acetate solution. | 10.3 mL | Float | Chemistry | University |
752299 | You are the CEO of Widget Inc. and are looking at your daily-provided dashboard. Yousee John Smith’s European division isn’t doing well and want more details. When youclick on John Smith’s division to get more information on each European country, youwould be using the _________ capability of your dashboard. | Drill down | String | Business | Junior High School |
2043680 | How do I evaluate #int(e^(3x))/(e^(6x)-36)1/2dx#? | 1/72(ln|(e^(3x)-6)/(e^(3x)+6)|)+c | Expression | Mathematics | University |
186728 | An ideal gas is at 50°C. If we double the average kinetic energy of the gas atoms, what is the new temperature in °C? | 373 | Integer | Physics | Senior High School |
685122 | Find the eccentricity of 21x²-6xy+29y²+6x-58y-151=0. What are the ways to calculate it, short as well as long method are accepted? Is there any better method to factorise quickly? | 1/√3 | Fraction | Mathematics | University |
1446206 | Sarah is researching the surrealist movement for her thesis. What important film should she include in her research? | Un Chien Andalou | String | History | University |
148018 | What type of tissue lines the surface of all body membranes? | Epithelium Tissue | String | Biology | Senior High School |
423565 | 90% of the cultivated ginseng in the US is grown in Wisconsin (this is a fact). Suppose ginseng is a competitive market in the US and Wisconsin has a hot summer causing farmers to have to add more water and fertilizers to grow the ginseng. As a result, the equilibrium price and quantity of ginseng will go up. True or F... | False | Boolean | Economics | Senior High School |
1975890 | Find a solution to the partial differential equation
$$ a \, \frac{\partial^2 w}{\partial x^2} + b \, \frac{\partial^2 w}{\partial y^2} + \delta^2(x,y) = 0 \, , $$
subject to the boundary conditions $w(x = \pm 1, y) = w(x, y = \pm 1) = 0$, where $a, b \in \mathbb{R}_+$ and $\delta^2(x,y) = \delta(x)\delta(y)$ is the tw... | $$ w(x,y)~=~\frac{1}{\pi^2}\sum_{n,m\in\mathbb{N}-\frac{1}{2}}\frac{\cos(\pi n x)\cos(\pi m y)}{a n^2+b m^2}.$$ | Expression | Mathematics | University |
1980686 | Big Canyon Enterprises has bonds on the market making annual payments, with 15 years to maturity, a par value of $1,000, and a price of $954. At the price, the bonds yield 9.3 percent.
What must the coupon rate be on the bonds? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 dec... | 8.72% | Percentage | Finance | University |
1623759 | Three particles starts from rest simultaneously along with three smooth chords of a vertical circle joining at the lowest point of the circle. If the inclination of the chord is 30 degrees, 60 degrees, 90 degrees respectively. Find the ratio of the time taken by them to move down the chords. | 2^(1/4):3^(1/4):2^(1/2) | Expression | Physics | Senior High School |
458546 | Susan (age 29) is single but has the son of her brother living with her as her dependent. If her AGI is {eq}\$27,250
{/eq}, what is her tax liability before any allowable tax credits?
Select one:
a. {eq}\$900
{/eq}
b. {eq}\$1,000
{/eq}
c. {eq}\$1,025
{/eq}
d. {eq}\$1,200
{/eq}. | a | Multiple Choice | Economics | Senior High School |
1684188 | What is the hydronium ion concentration of a solution at 25 degrees Celsius with a pOH of 4.70? | 5.01e-10 mol/L | Float | Chemistry | Senior High School |
12264 | Use Excel Solver to determine the optimal mix of Expansion Draft and Burning River that maximizes C-town's revenue, given the selling prices, resource requirements, and resource constraints. | 50 barrels of Expansion Draft and 50 barrels of Burning River | List | Mathematics | University |
160626 | When did Einstein publish the special theory of relativity? | September 29, 1905 | String | Physics | Junior High School |
1686440 | From Newton's Law of Gravity, show that the relationship between the period of revolution of a satellite, T, and its distance from the center of the Earth, r, is:
{eq}T ^2 = \frac{4\pi ^2}{G\ M_e} r ^3
{/eq}. | {eq}T^2 = \frac{4\pi^2 r^3}{GM_e}{/eq} | Expression | Physics | Senior High School |
1849835 | Let $a,b,c$ be positive real numbers, $$D:=\{(x_1,x_2,x_3)\in R^3:x_1^2+x_2^2+x_3^2\leq1\}, \\E:=\{(x_1,x_2,x_3)\in R^3:\frac{x_1^2}{a^2}+ \frac{x_2^2}{b^2}+\frac{x_3^2}{c^2}\leq1\}$$ and $$A=diag\left [{\begin{array}{cc} a & 0 & 0 \\ 0 & b & 0 \\ 0 & 0 & c \end{array} } \right]$$ with det$A>1$. Then, for a compactly s... | C | Multiple Choice | Mathematics | University |
1608439 | How to resolve this problem with induction? $24|n^{6}-3n^{5}+6n^{4}-7n^{3}+5n^{2}-2n$ Is there some way to make induction step without use of Binomial formula and all that calculating? | $2n(3n^2+1)(n^2+2)$ | Expression | Mathematics | University |
594860 | Determine the standard deviation of the sampling distribution of {eq}\bar{p}{/eq}. | 0.0207 | Float | Mathematics | University |
662671 | A car is being driven along a country road on a dark and rainy night at a speed of 20 m/s. The section of road is horizontal and straight. The driver sees that a tree has fallen and covered the road ahead. Panicking, the driver locks the breaks at a distance of 20 m from the tree. If the coefficient of friction between... | 9.30 m/s | Float | Physics | Senior High School |
1602222 | How can you find all $n \in \mathbb{N}$ such that $9\mid n^4+n^3-2n^2+n+4$ by solving by congruence? | n = 9k - 1 | Expression | Mathematics | University |
1449442 | The returns of Railroad United (RIU) are listed below, along with the returns on Major Application of Technology (MAT).
Economy 1 (with probability .15) gives a return of -14% for RIU and -9% for MAT.
Economy 2 (with probability .15) gives a return of 16% for RIU and 11% for MAT.
Economy 3 (with probability .30) giv... | The portfolio return and standard deviation are 7.05% and 10.70% respectively | Percentage | Finance | University |
1611438 | On April 30, 2016, Alpha Company issued $100,000 of 12%, 10-year bonds. The bonds were issued at par plus accrued interest and are dated January 1, 2016. Interest is paid on July 1 and January 1. Use this information to prepare the General Journal entry (without explanation) for the April 30, 2016 issue of the bonds. I... | Cash 104,000
Interest Expense 4,000
Bonds Payable 100,000
Interest Payable 4,000 | List | Business | University |
2080866 | What car does Marlowe drive in The Big Sleep? | 1938 Plymouth coupe | String | Other | Senior High School |
1133075 | How do you determine all values of c that satisfy the conclusion of the mean value theorem on the interval [-1, 23] for f(x)=1/sqrt(x+2)? | c = -2+ 15^(2/3) | Expression | Mathematics | University |
1796689 | If your body’s hypothalamus is not functioning properly, which of the following will happen?
-Your blood may become diluted by water that you drink.
-You may become dehydrated because your kidneys will not hold onto enough water.
-Your body will increase its production of thyroxine when your body temperature drops.
... | B | Multiple Choice | Biology | Senior High School |
575033 | Reparametrize the curve $\mathbf r(t)= \langle e^{-t} \cos 3t, e^{-t} \sin 3t, e^t\rangle$ with respect to arclength measured from the point (1,0,1) in the direction of increasing t. | {eq}s(t) = \int \sqrt { 10e^{-2t} + e^{2t} } \; dt{/eq} | Expression | Mathematics | University |
1646983 | Derive equation for angular momentum in Cartesian coordinates. | L = (ypz-zpy)i + (zpx-xpz)j + (xpy-ypx)k | Expression | Physics | University |
217960 | Thomson Manufacturing is considering a new machine that costs $250,000 and would reduce pre-tax manufacturing costs by $90,000 annually. The company would use the 3-year MACRS method to depreciate the machine, and the applicable depreciation rates would be 33%, 45%, 15%, and 7%. The management thinks the machine would ... | Year 1: $82,500
Year 2: $112,500
Year 3: $37,500
Year 4: $17,500 | List | Business | University |
1911229 | How many times did Alice Paul get force fed? | Twice a day during her imprisonment in England, and an unspecified number of times during her imprisonment in the United States. | Other | History | Junior High School |
630200 | Using complete sentences, name the four districts found in most large cities. | The four districts found in most large cities are the central business district, residential districts, commercial districts, and industrial districts. | List | Other | Junior High School |
305101 | I have to find the Laurent-Series with $0<|z|<5/2$ and $z_0=0$ for: $$\frac{8z+6+8i}{2z^2-3z-4iz}$$ I already did this: $$ \frac{8z+6+8i}{2z^2-3z-4iz} = \frac{A}{2\cdot(z-0)}+ \frac{B}{2\cdot(z-1.5-2i)}\\ A=-2 \text{ and } B=6 \\ \frac{8z+6+8i}{2z^2-3z-4iz} = -1\cdot\frac{1}{z} + 3\cdot\frac{1}{z-1.5-2i} $$ How do I pr... | $- rac{2}{z} + \sum_{k=0}^{\infty} \frac{12}{(3+4i)} \left( \frac{2z}{3+4i} \right)^k$ | Expression | Mathematics | University |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.