unique_id stringlengths 2 7 | problem stringlengths 9 11.6k | answer stringlengths 0 2.49k | answer_type stringclasses 11
values | category stringclasses 16
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|---|---|---|---|---|---|
1054213 | 1. Gonyo Inc., which produces and sells a single product, has provided the following contribution format income statement for December:
Sales (3,200 units) $252,800
Variable costs 118,400
Contribution Margin 134,400
Fixed costs 113,600
Net Operating Income $ 20,800
Redo the company's contribution format inc... | Sales: $268,600
Variable Costs: $125,800
Contribution Margin: $142,800
Fixed Costs: $113,600
Net Operating Income: $29,200 | List | Business | Senior High School |
528764 | I'm trying to calculate the inverse laplace transform: $$\large \mathcal{L}^{-1}\left(-\sqrt{\frac ks}e^{-\sqrt{\frac sk}x}\right)$$ | $$f(t)=\frac{a}{\sqrt t}e^{-\frac{b}{t}}$$ | Expression | Mathematics | University |
1694126 | Where do I get information on a company's financial performance immediately after it enters the stock market? | Market regulator's website and the company's investor relations webpage | List | Business | University |
1963220 | The minute hand on a watch is in length. What is the displacement vector of the tip of the minute hand from 8:00AM to 8:20 AM? | \Delta r = \frac{\sqrt{3}L}{2} \hat{i} - \frac{3L}{2}\hat{j} | Expression | Physics | Senior High School |
629857 | Two uniformly charged insulating rods are bent in a semicircular shape with radius r = 12.9 cm. If they are positioned so they form a circle but do not touch and have opposite charges of {eq}+7.43 \mu C
{/eq} and {eq}-7.43 \mu C
{/eq}, find the magnitude of the electric field at the center of the composite circular... | 5.12e6 N/C | Float | Physics | University |
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 | Float | Finance | Senior High School |
348170 | Seller X sells her good for $40. The price index is currently 140. If the price of Seller X's good rises to $50 and the price index rises by the same percentage, according to the producer misperception explanation of the upward-sloping SRAS curve, what would the seller think of the relative price of her good?
A) It ha... | A | Multiple Choice | Economics | University |
1027945 | Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints of each subinterval as your sample points.)
{eq}\displaystyle
\int_4^7 \frac{x}{1 + x^3}dx \\ \lim_{n \to \infty}\sum_{i = 1}^n \boxed{\space}.
{/eq} | \lim_{n \to \infty} \sum_{i=1}^{n} \left( \frac{4 + \frac{3i}{n} }{1 + \left( 4 + \frac{3i}{n} \right)^3 } \right) \frac{3}{n} | Expression | Mathematics | University |
1338385 | Which of the following always correspond(s) to a fall in the short run output?
a) The AS shifts right.
b) The resulting price level falls.
c) The AD shifts up.
d) None of the answers is correct. | b | Multiple Choice | Economics | University |
1212294 | Let $N$ be an integer. Given the indices of the congruence subgroups $\Gamma(N),\Gamma_1(N),\Gamma_0(N)$ in $\mathrm{SL}_2(\mathbb{Z})$, can I compute the indices $[\mathrm{PSL}_2(\mathbb{Z}):\bar{ \Gamma}(N)],[\mathrm{PSL}_2(\mathbb{Z}):\bar{ \Gamma}_1(N)],[\mathrm{PSL}_2(\mathbb{Z}):\bar{ \Gamma}_0(N)]$, where $\bar{... | $[PSL(2,\mathbb{Z}):\Gamma (m)]=\frac{m^3}{2}\prod_{p\mid m}\left(1-\frac{1}{p^2}, \right), [PSL(2,\mathbb{Z}):\Gamma_1 (m)]=\frac{m^2}{2}\prod_{p\mid m}\left(1-\frac{1}{p^2}, \right), [PSL(2,\mathbb{Z}):\Gamma_0 (m)]=m\prod_{p\mid m}\left(1+\frac{1}{p}, \right)$ | Expression | Mathematics | University |
2017530 | A uniform bridge of weight {eq}1200 \ kN {/eq} and of length {eq}17 \ m {/eq} rests on supports at each end which are {eq}1 \ m {/eq} wide. A stationary lorry of weight {eq}60 \ kN {/eq} has it's centre of mass {eq}3.0 \ m {/eq} from the centre of the bridge. Calculate the support force on the bridge at each end. | The support force on the left end is 641 kN and the support force on the right end is 619 kN. | List | Physics | Senior High School |
685008 | Is there a way to compute the convergence orders $p$ and $q$ using numerical data, given the error estimate $u(x,t)= u_{h,k} + C_1 h^{p} +C_2 k^{q}$ where $u_{h,k}$ is a numerical approximation to the solution function $u(x,t)$, $h$ is the size of the partitions on $x\in [a,b]$, $k$ is the size of the partitions on $t\... | p = \frac{\ln |u_{h,k} - u_{h/2,k} |}{\ln | u_{h/2,k} - u_{h/4,k} |}/\ln 2, and q = \frac{\ln |u_{h,k} - u_{h,k/2} |}{\ln | u_{h,k/2} - u_{h,k/2} |}/\ln 2 | Expression | Mathematics | University |
1932152 | Compute the trace of
$\left(
\begin{array}{cccc}
\frac{3}{\sqrt{2}} & \frac{13}{\sqrt{2}} & -7 \sqrt{2} & \frac{7}{\sqrt{2}} \\
-\frac{5}{\sqrt{2}} & 6 \sqrt{2} & \frac{7}{\sqrt{2}} & \frac{9}{\sqrt{2}} \\
\frac{3}{\sqrt{2}} & -\frac{5}{\sqrt{2}} & -\frac{7}{\sqrt{2}} & -\frac{9}{\sqrt{2}} \\
7 \sqrt{2} & -\sqrt{2} & 2... | 6 \sqrt{2} - \frac{9}{\sqrt{2}} | Expression | Mathematics | University |
1741402 | Twone produces and sells three products. Last month's results are as follows:
P1 P2 P3
Revenues $104,000 $208,000 $208,000
Variable costs $41,600 $93,600 $83,200
Fixed costs total $140,000. What is Twone's margin of safety? (Assume the current product mix.) | $278,621 | Float | Business | University |
1719229 | Let $A \in \mathbb R^{4\times 4}$ have characteristic polynomial $(x^2+1)^2$. Which of the following is true?
(A) $A$ is diagonalizable over $\mathbb C$ but not over $\mathbb R$
(B) $A$ is nilpotent
(C) $A$ is invertible
(D) There is no such matrix $A$. | C | Multiple Choice | Mathematics | University |
1385550 | To transform a unit square into a parallelogram in which (a) the diagonals are parallel to the unit square's diagonals, (b) the longest diagonal is equal in length to either of the unit square's diagonals, and (c) the diagonals intersect at the midpoint of the longest diagonal, what is/are the transformation equation(s... | ax_n + by_n = x'_n and cx_n + dy_n = y'_n | Expression | Mathematics | University |
1122432 | Dna is compacted and condensed in order to make it easier to proceed through the cell cycle. what is the correct sequence from loosely compacted dna to highly condensed dna? | 1. Single DNA strand
2. DNA combines with histones to form chromatin
3. Chromatin binds to a centromere
4. Two copies of condensed chromatin bind at the centromere during prophase
5. The two chromatin condense further and form a chromosome in metaphase | List | Biology | Senior High School |
894954 | Find the Laplace Transform of the following function:
{eq}\displaystyle \ f(t) = \left \{ \begin{array}{ ll }
0, & 0 \leq t < 1 \\
t - 1, & 1 \leq t < 2 \\
3 - t, & 2 \leq t < 3 \\
0, & 3 \leq t
\end{array} \right .
{/eq} | F(s) = (e^(-s) - e^(-2s) + e^(-3s))/s^2 - (e^(-2s) + e^(-3s))/s | Expression | Mathematics | University |
1280050 | Rotorua Products, Ltd., of New Zealand markets agricultural products for the burgeoning Asian consumer market. The company's current assets, current liabilities, and sales have been reported as follows over the last five years (Year 5 is the most recent year):
Year 1
Year 2
Year 3
Year 4
... | Sales: Year 1: 100.0, Year 2: 103.0, Year 3: 110.0, Year 4: 119.8, Year 5: 125.1
Cash: Year 1: 100.0, Year 2: 92.5, Year 3: 103.8, Year 4: 75.8, Year 5: 82.8
Accounts receivable, net: Year 1: 100.0, Year 2: 107.6, Year 3: 111.9, Year 4: 123.4, Year 5: 141.3
Inventory: Year 1: 100.0, Year 2: 106.4, Year 3: 100.3, Year 4... | Percentage | Business | Senior High School |
1138268 | I am given the following $$ \begin{cases} u_x+u_y=1-u, x>0\\ u(x,x+x^2)=sinx\\ \end{cases} $$ I am trying to solve it using method of characteristics. So I got the following equations: $$ \begin{cases} x_t=1\Rightarrow x(t,s)=t+f_1(s)\\ y_t=1\Rightarrow x(t,s)=t+f_2(s)\\ u_t=1-u \end{cases} $$ But the third equation is... | u(x,y)=1-e^{-x+φ(x-y)} | Expression | Mathematics | University |
1666317 | The enthalpy change for the process: {eq}H_2O(s) <--> H_2O(l)
{/eq} is 6.01 kJ/mol. What is the minimum value for the standard entropy change, on the basis of your conclusions about the spontaneity of the process? Explain. | 22.014 J/mol.K | Float | Chemistry | Senior High School |
1108319 | Which of the below substances will have the least entropy associated with it, in its current state of matter and temperature?
a. Substance 1: Ne (g) Temperature of 284 K
b. Substance 2: H2O (l) Temperature of 306 K
c. Substance 3: Hg (g) Temperature of 307 K
d. Substance 4: He (g) Temperature of 279 K | b | Multiple Choice | Chemistry | Senior High School |
126858 | Morality is best defined as _____.
a. society's responsibility toward a person
b. a person's responsibility toward society
c. the rules or principles that define right and wrong conduct
d. the goodness or badness of human action or behavior | c | Multiple Choice | Philosophy | Senior High School |
1363479 | Compute {eq}\iint_S F \ dS{/eq} for {eq}F= \langle e^y, z, x \rangle, \ G(r, s)=(rs, r+s, r): 0 \leq r \leq s, \ 0 \leq x \leq 1{/eq}, oriented by {eq}T_r \times T_s{/eq}. | e+7/60+(-1-e^2)/2 | Expression | Mathematics | University |
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 | Float | Chemistry | Senior High School |
1556271 | Is the differential equation (1 - 3/y + x) dy/dx + y = 3/x - 1 exact? | Yes | Boolean | Mathematics | University |
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} | Expression | Mathematics | University |
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 | Float | Finance | University |
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 | Fraction | Mathematics | University |
1114854 | How do you calculate the total resistance in a series circuit with more than one resistor? | Rtotal = R1 + R2 + R3, where R1, R2, and R3 are the resistances of the individual resistors. | Expression | Physics | Junior High School |
720766 | Moore Corporation uses the balance sheet approach for recording uncollectible. An aging schedule reveals an estimated $12,750 of uncollectible. Allowance for Doubtful Accounts has a credit balance of $3,700 before adjustment.
What is the ending balance of Allowance for Doubtful Accounts after adjustment?
A. $16,450
... | A | Multiple Choice | Business | Senior High School |
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 | String | Chemistry | Senior High School |
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 | Integer | Mathematics | PhD |
668098 | What weapons were used in the Battle of Megiddo in WWI? | Light and heavy machine guns and thousands of rifles were used in the Battle of Megiddo in WWI. | List | History | Junior High School |
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 | Float | Physics | Senior High School |
52243 | Technician A says that all components in the high voltage battery box are completely insulated from the rest of the vehicle for safety. Technician B says that the high voltage battery box is located under the hood in some vehicles. Which technician is correct? | Technician A | Boolean | Engineering | Senior High School |
373 | Let {eq}R{/eq} be the region above the {eq}xy{/eq}-plane bounded below by the cone {eq}z^2 = x^2 + y^2{/eq} and between the spheres {eq}x^2 + y^2 + z^2 = 4{/eq} and {eq}x^2 + y^2 + z^2 = 9{/eq}. Compute the integral of {eq}f(x, y, z) = \frac{1}{(x^2 + y^2 + z^2)^2}{/eq} over this region. | \frac{\pi}{6} (2-\sqrt{2}) | Fraction | Mathematics | University |
2049512 | Find a parametric representation for the part of the ellipsoid $9x^2 +4y^2+ z^2 = 1$ that lies above the xy-plane. | x = u, y = v, z = \sqrt{1-9u^2 - 4v^2} | Expression | Mathematics | University |
1079415 | Consider a country that has been producing a lot of oil and suppose that from one year to the next, its oil wells run out. The country will be poorer than previously. According to the two definitions above, is it in a recession? | Yes | Boolean | Economics | Senior High School |
1239088 | Balance the following in basic solution:
{eq}SO_3{^{2-}}{_{(aq)}} + Cu(OH)_2{_{(s)}} \longrightarrow SO_4{^{2-}}{_{(aq)}} + Cu(OH){_{(s)}}
{/eq}. | SO_3^{2-} + 2Cu(OH)_2 \rightarrow SO_4^{2-} + 2Cu(OH) +H_2O | Expression | Chemistry | Senior High School |
1471918 | Given the point ($x,y$), ($L_h$), ($d_e$), v, ($\theta_d$), and ($x_d,y_d$), and knowing that the line '$d_e$' runs perpendicular to a tangent trajectory at ($x_d,y_d$) with an angle '$\theta_e$', is it possible to find '$\theta_e$' without knowing '$\theta$'? | \theta_e=\theta_d-\theta | Expression | Mathematics | University |
708841 | Would a rug have static or dynamic friction? | static friction | String | Physics | Primary School |
1400548 | In the goods market,
a) Inflation uniquely determines the equilibrium level of employment.
b) Wage bargaining is central to our understanding of equilibrium.
c) The working age population that is employed is irrelevant.
d) The higher the interest rate the lower the equilibrium level of output. | d | Multiple Choice | Economics | University |
80152 | Evaluate the line integral {eq}\int_C \ F \cdot dr{/eq}, where F is given by the vector function {eq}F(x, y, z)=3sin(x) \ i - 4cos(y) \ j - xz \ k{/eq} and C is given by the vector function {eq}r(t)=t^6i - t^5j + t^4k, \ 0 \leq t \leq 1{/eq}. | 19/7 - 3cos(1) + 4sin(1) | Expression | Mathematics | University |
517441 | Jack and a Jill are standing on flat ground in front of an empty well that extends a depth s below the ground. Jill tosses a penny down the well with an initial velocity, u{eq}_0
{/eq}, while Jack decides to toss a penny up with an initial velocity v{eq}_0
{/eq}.
How long does it take for Jack and Jill s pennies to ... | Jill: {eq}t = \sqrt{\dfrac{u_0^2}{g^2} + \dfrac{2 \, s}{g}} - \dfrac{u_0}{g}{/eq}
Jack: {eq}t = \sqrt{\dfrac{v_0^2}{g^2} + \dfrac{2 \, s}{g}} + \dfrac{v_0}{g}{/eq} | Expression | Physics | Senior High School |
537501 | I would like to calculate the value of this infinite product: $$\prod_{n=1}^\infty \bigg(\frac{n+1}{n}\bigg)^{\frac{1}{n}}$$ According to Wolfram, it seems to converge at around $3.514$, but I have no idea how to start proving this. Any hints? | $\exp\pars{\int_{0}^{1}{H_{t} \over t}\dd t}$ | Expression | Mathematics | University |
606928 | Find the area of the surface of the part of the hyperbolic paraboloid z = y^2 - x^2 that lies between the cylinders x^2 + y^2 = 1 and x^2 + y^2 = 9. | \frac{\pi}{6}(37^{3/2}-5^{3/2}) | Expression | Mathematics | University |
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 | Expression | Mathematics | University |
911303 | Suppose we have a sequence of càdlàg functions $(x_n)_{n\in\mathbb{N}}\subset \mathbb{D}[0,1]$ that converges in the Skorokhod topology to $x\in \mathbb{D}[0,1]$. Do we then know that $x_n \to x$ in $L^1[0,1]$? If not, can you provide a counterexample? Does $\int_0^1 |x(\alpha_n(t)) - x(t)| dt$ necessarily go to $0$ as... | Yes | Boolean | Mathematics | University |
1744943 | How do you find the integral of arccos(x)x? | x^2/2arc cosx+1/4arc sinx-x/4sqrt(1-x^2)+C | Expression | Mathematics | University |
2051341 | In our calculation of cash flow from assets, we need to consider the balance(s) of:
A. inventory
B. none of them is included
C. accounts payable
D. sales
E. all are included | E | Multiple Choice | Business | University |
95732 | I'm trying to look at the number of turns taken to either win or reach gambler's ruin, and I don't quite know how to get that number or an approximation of it. Instinctively I want to model this using Poisson but I can't quite see how to make the jump. Can anyone offer any suggestions? | $T=\\frac{PN-i}{p-q}$ where $P$ is the probability of the player obtaining total money $N$ starting with initial capital $i$. | Expression | Mathematics | University |
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 | Float | Chemistry | University |
471338 | Convert the following matrix to reduced row echelon form:
$\left(
\begin{array}{ccccccc}
-9 & -10 & -10 & 6 & -1 & -3 & -2 \\
7 & 0 & -7 & 5 & -3 & 3 & 3 \\
10 & -10 & -9 & 5 & -10 & -1 & 2 \\
-6 & -8 & -5 & 7 & 3 & -8 & -2 \\
\end{array}
\right)$. | $\left(
\begin{array}{ccccccc}
1 & 0 & 0 & 0 & -\frac{704}{1541} & \frac{163}{1541} & \frac{341}{1541} \\
0 & 1 & 0 & 0 & \frac{1303}{3082} & \frac{1006}{1541} & \frac{645}{3082} \\
0 & 0 & 1 & 0 & \frac{1080}{1541} & -\frac{3407}{3082} & -\frac{661}{3082} \\
0 & 0 & 0 & 1 & \frac{1573}{1541} & -\frac{3377}{3082} & -\f... | Matrix | Mathematics | University |
2035633 | Convert the following matrix to reduced row echelon form:
$\left(
\begin{array}{cccccc}
-1 & 3 & -7 & 0 & -7 & 3 \\
1 & 2 & -5 & -7 & 7 & 6 \\
3 & -4 & 5 & 1 & 9 & 4 \\
\end{array}
\right)$. | $\left(\begin{array}{cccccc}1 & 0 & 0 & -\frac{23}{5} & \frac{38}{5} & \frac{11}{5} \\ 0 & 1 & 0 & -\frac{31}{5} & \frac{36}{5} & -\frac{3}{5} \\ 0 & 0 & 1 & -2 & 3 & -1 \\ \end{array}\right)$ | Matrix | Mathematics | University |
1586969 | What are the chances that you actually have the disease, given that you tested positive for a serious disease with a 99% accurate test and the disease strikes only one in 10,000 people? | 0.00981 | Float | Mathematics | University |
594924 | Women were banned from performing Kabuki dance in 1629 because many of the performers came from the "pleasure quarters" where prostitution was a way of life and public morality was considered to be at risk. So men took over and played all the parts. | True | Boolean | History | Junior High School |
283107 | Selected accounts from the Pearson, Gomez, and Litt Partnership adjusted trial balance for the year ended December 31 follow.
Accounts payable
$5,000
Accounts receivable
$10,000
Cash
40,000
Gomez, Capital
15,000
Land
25,000
Long-term notes payable
... | Pearson, Gomez and Litt Partnership
Balance Sheet
As on December 31, XXXX
Assets
Current Assets:
Accounts Receivable $10,000
Cash $40,000
Total current assets $50,000
Non-current Assets:
Land $25,000
Total assets $75,000
Liabilities
Cur... | List | Business | Senior High School |
1849928 | Find the eigenvalues of the following matrix:
$\left(
\begin{array}{cc}
-\frac{3}{2} & 7 \\
-\frac{9}{2} & -1 \\
\end{array}
\right)$. | $\lambda = \frac{i \sqrt{503}}{4}-\frac{5}{4}$ or $\lambda =-\frac{i \sqrt{503}}{4}-\frac{5}{4}$ | Expression | Mathematics | University |
1069868 | Based on the raw SPSS output below, write a result section following the statistical results. Provide practical suggestions based on statistical findings.
Group Statistics
{eq}\begin{array}{|l|c|c|}
\hline
&\text{Location}&\text{N}&\text{Mean}&\text{Std. Deviation}&\text{Std. Error Mean}\\
\hline
\text{Place}&\te... | Urban: Mean = 36.83, SD = 5.94, N = 65; Rural: Mean = 36.09, SD = 5.53, N = 85. The independent samples t-test indicated that the difference in place attachment scores between the urban and rural groups was not statistically significant (t(148) = 0.78, p = 0.435, 95% CI [1.12, 2.59]). | String | Mathematics | University |
1159569 | When did Leonardo da Vinci paint The Virgin of the Rocks? | 1490s and 1508 | List | Other | Junior High School |
1767858 | Ajika plc has been using an overhead absorption rate of 18.25 per machine hour in its production department. During the year the overhead expenditure amounted to 628,240 and 28,848 machine hours were used. How much overhead is under or over absorbed? | $101,764 under-absorbed | Float | Business | Senior High School |
1341859 | Serial correlation:
a. measures the relationship between the current return on security with that of second security.
b. involves multiple securities within the same industry.
c. indicates a tendency for continuation when the correlation is positive.
d. indicates a tendency toward reversal when the correlation coef... | c | Multiple Choice | Business | University |
2019703 | A refrigerator operates on the ideal vapor compression refrigeration cycle with R-134a as the working fluid between the pressure limits of 120 and 800 kPa. If the rate of heat removal from the refrigerated space is 32 kJ/s, what is the mass flow rate of the refrigerant? | 0.226 kg/s | Float | Physics | University |
1879869 | Data for December concerning Ash Corporation's two major business segments, Fibers and Feedstocks, appear below:
Sales revenues, Fibers $950,000
Sales revenues, Feedstocks $900,000
Variable expenses, Fibers $525,000
Variable expenses, Feedstocks $424,000
Traceable fixed expenses, Fibers $148,000
Traceable fixed expen... | Sales: Fibers $950,000, Feedstocks $900,000, Total $1,850,000; Variable Expenses: Fibers $525,000, Feedstocks $424,000, Total $949,000; Contribution Margin: Fibers $425,000, Feedstocks $476,000, Total $901,000; Traceable Fixed Expense: Fibers $148,000, Feedstocks $156,000, Total $304,000; Responsibility Margin: Fibers ... | List | Business | University |
619407 | The dissolution of gases in water is virtually always exothermic because:
a. one of the two endothermic steps (separation of solute particles) in the solution-formation process is unnecessary.
b. the exothermic step in the solution-formation process is unnecessary.
c. gases react exothermically with water.
d. neith... | a | Multiple Choice | Chemistry | Senior High School |
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 | Float | Physics | University |
1291945 | After impairing memory, focus, and reasoning, alcohol next causes a deterioration in __________. | muscle control | String | Health | Senior High School |
653309 | Find the partial pressure in a solution containing ethanol and 1-propanol with a total vapor pressure of #"56.3 torr"#? The pure vapor pressures are #"100.0 torr"# and #"37.6 torr"#, respectively, and the solution has a mol fraction of #0.300# of ethanol. | 30.0 torr, 26.3 torr | List | Chemistry | Senior High School |
1550717 | Explain the finite population correlation factor. | {eq}CF = \sqrt {\frac{{N - n}}{{N - 1}}} {/eq} | Expression | Mathematics | University |
398641 | If an electron's position can be measured to a precision of {eq}5.0\times 10^{-8}
{/eq} m, how precisely can its speed be known? | 1.163*10^3 m/s | Float | Physics | University |
1911444 | Determine the opportunity cost of additional production at different outputs.
Possibility
Cars (hundreds)
Bicycles (hundreds)
A
15
0
B
11
5
C
8
7
D
5
9
E
0
11 | The opportunity costs of one bicycle at different points are:
At point B: 0.8 cars
At point C: 1.5 cars
At point D: 1.5 cars
At point E: 2.5 cars | List | Economics | Senior High School |
623896 | Given a polynomial ODE $\dot{x}=f(x)\in\mathbb{R}^n$ that possesses a Darboux polynomial $p(x)$ satisfying $\dot{p}(x)=c(x)p(x)$ for some function $c(x)$ (the cofactor), how can one write $f(x)$ in terms of $p(x)$ and/or $c(x)$? Is there an equivalent statement for the case of ODE possessing a Darboux polynomial, analo... | $f=(\alpha I + S) \nabla p$, where $\alpha = \frac{cp}{|\nabla p|^2}$ and $S$ is a skew symmetric matrix. | Expression | Mathematics | PhD |
2012048 | Let $\sigma = (135) \in S_6$. We know that $\sigma$ can be written as transpositions, or 2-cycles, as $$(135)=(15)(13)$$ How do I write it as composite of elementary permutations? The definition of elementary permutation is the following Let $1\le i < k$. Let $e_i$ be an element in $S_k$ such that $e_i (i) = i+1$ and $... | (12)(23)(34)(45)(34)(12) | String | Mathematics | University |
1642132 | How can I approximate the function $f(x)=\sqrt{1-x^2}$ for $x\rightarrow0$ using a Taylor expansion up to first-order terms, given that the linear term vanishes when expanding around $x=0$, and this loss of the linear term removes the relevant physics? Is there a workaround to this issue, beyond ad-hoc methods like app... | $f(x) = \sqrt{1-x^2} \approx 1-\frac{x^2}{2}$ | Expression | Mathematics | University |
1757860 | What is the formula for sodium phosphide? | Na3P | String | Chemistry | Senior High School |
1716615 | How do you integrate #(6x^2+1)/(x^2(x-1)^2)# using partial fractions? | -1/x+2lnx-2ln(x-1)-7/(x-1) +C | Expression | Mathematics | University |
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 | Float | Mathematics | University |
120368 | Differentiate {eq}y=\sqrt{(1-x^2)}sin^{-1}x{/eq} with respect to x. | {eq}1 - \frac{x \sin^{-1}x}{\sqrt{1-x^2}}{/eq} | Expression | Mathematics | University |
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 | Float | Mathematics | University |
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% | Percentage | Finance | Senior High School |
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 | Float | Physics | Senior High School |
460302 | The journal entry in the buyer's books to record the honoring by the seller of an account deemed uncollectible in a factoring agreement with recourse would include a
A. debit to Bad Debt Expense
B. debit to Allowance for Uncollectible Accounts
C. debit to Cash
D. debit to Loss of Factoring Agreement | B | Multiple Choice | Business | University |
683326 | Find the function f(t) satisfying the differential equation f'(t) - f(t) = 7t and the condition f(3) = 1. | f(t) = -7t - 7 + (29/e^3)*e^t | Expression | Mathematics | University |
208399 | Some politicians argue for imposing trade restrictions in the hope that doing so will reduce the trade deficit of Canada. Assuming Canada has a floating exchange rate, the imposition of trade barriers:
a. increases the supply of dollars, causing a depreciation of the exchange rate, which shifts the net exports curve t... | b | Multiple Choice | Economics | University |
1429057 | What is one major factor that can result in biased news stories?
A. Sensationalism.
B. Pressure from the public.
C. Bribes from interest groups.
D. Opinion Polls. | A | Multiple Choice | Other | Senior High School |
907165 | How much potential energy does DeAnna, with a mass 62.0 kg, gain when he climbs a gymnasium rope, a distance of 3.5 m? | 2.13e+3 J | Float | Physics | Junior High School |
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 | Integer | Mathematics | University |
1255750 | Find $\displaystyle \int \dfrac{1}{2\sin(x)-3\cos(x)}dx$. How will we get $du = \dfrac{1}{\cos(x)+1}dx $ in the integrand using $u = \tan \left(\dfrac{x}{2} \right)$, $\cos(x) = \dfrac{1-u^2}{1+u^2}$ and $\sin(x) = \dfrac{2u}{1+u^2}$? | $2\int\frac{du}{3u^2+4u-3}$ | Expression | Mathematics | University |
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 | Float | Physics | Senior High School |
207855 | Find the vector equation for the line of intersection of the planes 5x + 2y + z = 4 and 5x + 5z = 4. | <4/5+10t, -20t, -10t> | Expression | Mathematics | University |
28863 | Given a Undirected Weighted Planar Graph with $N$ nodes and $N-1$ edges each having different weight. Between two nodes there is exactly one path that goes through the edges and nodes such that no node appears in the path more than once. Given some nodes $A_1, A_2, ..., A_K$. Two nodes are taken at random from these no... | Let \( d_w(v, u) \) represent the shortest weighted distance between nodes v and u in graph G. The expected distance between two randomly chosen nodes from the set \( \{A_1, ..., A_K\} \) is given by: $$\sum_{1\le i<j\le K} p_{ij} d_w(A_i, A_j)$$ where \( p_{ij} \) represents the probability of choosing the pair \( (A_... | Expression | Mathematics | University |
905655 | How does the equation `[0.5495877475*(-100000.0*y + 161572687.0)/(25000.0*y - 199919.0)]` derived from the Python code `ymin = 1615.72687 ymax = -1607.73011 ec50 = 2.19835099 x,y = symbols('x y') expression = ((y-ymin)*(ec50+x))+abs(ymax)*x equation = solve(expression,x)` translate to the hand-calculated solution `x = ... | $x = \frac{y\cdot ec50 - ymin\cdot ec50}{ymin - y -\mid{ymax}\mid}$ | Expression | Mathematics | University |
607784 | Suppose that $E$ is a set that has the cardinality of the continuum and that If $A$ is an index set with $\#A\leq\#\mathbb R$ and $\{X_{\alpha}\}_{\alpha\in A}$ is a family of sets such that $\#X_{\alpha}\leq\#\mathbb R$ for each $\alpha\in A$, then $\#(\bigcup_{\alpha\in A}X_{\alpha})\leq\#\mathbb R$. Is there any way... | Yes | Boolean | Mathematics | University |
1431778 | I have been given this equation in a past exam paper, in which I am solving for eigenfunctions & eigenvalues. The product rule has been applied to this section in the solution but I cannot work out which should be 'f' and which should be 'g'. The result is : after dividing through by , which I understand but how do I p... | Consider \(fg\)’ = f’g+fg’\) where \(f = e^{-2x}\) and \(g = \frac{dy}{dx}\). Then, \(f’ = \frac{d}{dx} e^{-2x} = -2e^{-2x}\) and \(g’ = \frac{d\frac{dy}{dx}}{dx} = \frac{d^2y}{dx^2}\). Considering there is a negative sign as well, putting everything together, you get \(-\left[-2e^{-2x}\cdot\frac{dy}{dx}+e^{-2x}\cdot\f... | Expression | Mathematics | University |
1412713 | Find the indefinite integral.
{eq}\int t \operatorname { ln } ( t + 3 ) d t{/eq} | \frac{ t^2 \ln( t + 3 )}{2} - \frac{1}{2}\left[ \frac{t^2}{2}-3t + 9 \ln| t + 3| \right]+c | Expression | Mathematics | University |
1491642 | How much must Stan save monthly in his 401K retirement fund over the next 30 years to be able to spend $5,000 monthly for 30 years during retirement while earning 10% annually on his retirement funds and 12% annually on his 401K savings? | $163.57 | Float | Mathematics | University |
603609 | In the context of consumer markets, which of the following is true of consumers?
a. They tend to buy in larger quantities than business consumers.
b. They normally buy products rather than lease them.
c. They approach purchasing more formally than business buyers.
d. They often follow the practice of reciprocity. | b | Multiple Choice | Business | Senior High School |
591410 | Suppose f(π/3) = 3 and f '(π/3) = −7, and let g(x) = f(x) sin x and h(x) = (cos x)/f(x). Find h'(x) | (-3\sqrt{3}/2 + 7/2)/9 | Fraction | Mathematics | University |
1034060 | Where did Of Mice and Men start off at? | The bank of a river | String | Other | Junior High School |
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