id
string
problem
string
answer
string
answer_type
string
category
string
difficulty
string
eval_score
int64
similar_problems
list
2085565
In a small rural Pennsylvania town, the aggregate labor supply curve is given by LS = -20 + 5w and the aggregate labor demand by LD = 180 - 5w, where w is the hourly wage rate. What is the unemployment rate in equilibrium?
0%
Percentage
Economics
University
6
[ { "id": "829749", "score": 0.8843402914375391 }, { "id": "1457495", "score": 0.3010318544067307 }, { "id": "1043574", "score": 0.2906688261898959 }, { "id": "1893532", "score": 0.26682073738860806 }, { "id": "1713863", "score": 0.26052807098624875 } ]
662362
Classify the following situation as a supply or demand shock "Financial friction increase": a. A positive (temporary) supply shock, b. A positive demand shock, c. A negative demand shock, d. A negative (temporary) supply shock.
c
Multiple Choice
Economics
University
6
[ { "id": "837092", "score": 0.46684068409122687 }, { "id": "582666", "score": 0.3145847714775347 }, { "id": "979338", "score": 0.2587149683700934 }, { "id": "117998", "score": 0.25516371815119454 }, { "id": "332761", "score": 0.25516371815119454 } ]
476675
Arms that are longer than legs, and a short stable lumbar spine are traits associated with: a. vertical clinging and leaping. b. arboreal quadrupedalism. c. brachiation. d. full-time bipedalism.
c
Multiple Choice
Biology
University
6
[ { "id": "1982907", "score": 0.14006168414719602 }, { "id": "326187", "score": 0.1165590004253563 }, { "id": "2052720", "score": 0.1109179676169226 }, { "id": "1534905", "score": 0.10928496931145346 }, { "id": "2068033", "score": 0.10928496931145346 } ]
384136
With a linear inverse demand function and the same constant marginal costs for both firms in a homogeneous product Stackelberg duopoly, which of the following will result? A) Profits of leader > Profits of follower and {eq}Q_L = Q_F {/eq} B) {eq}Q_L = 2Q_F {/eq} C) Profits of leader > Profits of follower D) {eq}P...
C
Multiple Choice
Economics
University
6
[ { "id": "1938038", "score": 0.34747860714892576 }, { "id": "2020589", "score": 0.3438351463818296 }, { "id": "80418", "score": 0.34071621833745225 }, { "id": "1386993", "score": 0.32450288920368087 }, { "id": "1727658", "score": 0.3211108800006426 } ]
1610035
Use the Student's t distribution to find tc for a 0.95 confidence level when the sample is 27.
2.056
Float
Mathematics
University
6
[ { "id": "652814", "score": 0.3700303580598373 }, { "id": "705179", "score": 0.3629644937098985 }, { "id": "469482", "score": 0.34261648706771664 }, { "id": "1704943", "score": 0.33738205518540565 }, { "id": "353533", "score": 0.33059164307706185 } ]
91194
The workers at the Axme Corporation have divided into several cliques. Employees in each clique tend to stick together, sharing lunch and coffee breaks. The employees in one clique very seldom interact with workers in another clique. This type of situation may create _____ barriers that prevent effective communication....
c
Multiple Choice
Business
University
6
[ { "id": "582247", "score": 0.13742254260983713 }, { "id": "635140", "score": 0.13009793043771772 }, { "id": "879423", "score": 0.12642537105730253 }, { "id": "385333", "score": 0.1213579541932831 }, { "id": "1641373", "score": 0.11427338362480352 } ]
2019985
Molteni Motors Inc. recently reported $8 million of net income. Its EBIT was $15 million, and its tax rate was 36%. What was its interest expense? a. $2,880,000 b. $2,500,000 c. $3,000,000 d. $7,000,000 e. $19,000,000
b
Multiple Choice
Business
University
6
[ { "id": "1400324", "score": 0.5639814870374135 }, { "id": "2097696", "score": 0.5561026631369549 }, { "id": "1655547", "score": 0.5385469659840605 }, { "id": "1315231", "score": 0.5235049507938728 }, { "id": "1009808", "score": 0.5229390876899744 } ]
886793
Far Side Corporation is expected to pay the following dividends over the next four years: $11, $8, $7, and $3. Afterward, the company pledges to maintain a constant 8 percent growth rate In dividends forever. Required: If the required return on the stock is 13 percent, what is the current share price? (Do not round yo...
$62.43
Float
Finance
University
6
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971814
Jester Corporations's most recent income statement appears below: Sales (all on account)$610,000 Cost of goods sold$340,000 Gross margin$270,000 Selling and administrative expense$160,000 Net Operating Income$110,000 Interest Expense$20,000 Net Income before taxes$90,000 Income taxes (30%)$27,000 Net Income$63,000 Th...
18.53%
Percentage
Business
University
6
[ { "id": "1438417", "score": 0.7383094095346258 }, { "id": "2097696", "score": 0.6124333264392708 }, { "id": "390722", "score": 0.5239697041549987 }, { "id": "1112251", "score": 0.522447272608407 }, { "id": "1666566", "score": 0.5219505259345021 } ]
1680411
Find all functions $f:\ (0, \infty)\ \longrightarrow\ (0, \infty)$ such that a) $\forall x \in (0,1):\ f(x) \in (1, \infty).$ b) $ \forall x,y \in (0, \infty) :\ f(xf(y))=yf(x)$. Assuming $f$ is multiplicative, how can we prove that $f(\tfrac1x)=\tfrac{1}{f(x)}$ and why does this imply $f$ is strictly decreasing in $(0...
$f(x) = \frac{1}{x}$
Expression
Mathematics
University
6
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269047
Which statement below regarding a share repurchase is true? A. The company repurchasing shares is not entitled to vote. B. Repurchasing shares shrink a company's assets and equity. C. A share repurchase grows a company's assets and equity. D. Repurchasing shares increases retained earnings.
B
Multiple Choice
Business
University
6
[ { "id": "900137", "score": 0.26217093037477807 }, { "id": "187543", "score": 0.2271355823739965 }, { "id": "1407257", "score": 0.22675901591154307 }, { "id": "1240545", "score": 0.2249277545972753 }, { "id": "204587", "score": 0.223203844393482 } ]
1447099
A non-controlling interest is entitled to a share of which of the following items? I. Equity of the group entity at acquisition date II. Current period profit or loss of the subsidiary entity III. Changes in equity of the subsidiary since acquisition date and the beginning of the financial period IV. Equity of the ...
c
Multiple Choice
Business
University
6
[ { "id": "935104", "score": 0.5476094158936358 }, { "id": "1859490", "score": 0.5423148822434983 }, { "id": "950134", "score": 0.5412365769508299 }, { "id": "1278460", "score": 0.5180504025457532 }, { "id": "832769", "score": 0.5131745101060865 } ]
1561084
The recursive equation is $T(n) = 2T(\frac{n}{2}) + 2$ with $T(1) = 0$ and $T(2) = 1$. My derivation is as follows: $T(n) = 2(2*T(\frac{n}{4}) + 2) + 2$ $T(n) = 2^2 + T(\frac{n}{2^2}) + 2^2 + 2^1$ ... $T(n) = 2^k * T(\frac{n}{2^k}) + 2^k + ... + 2^2 + 2^1$ Taking $T(1) = 0$, $\frac{n}{2^k} = 1 \Rightarrow k = \log_2 n$...
\frac{3n}{2}-2
Expression
Mathematics
University
6
[ { "id": "1067574", "score": 0.5812200986844918 }, { "id": "83200", "score": 0.5657303778304061 }, { "id": "651961", "score": 0.542563298923669 }, { "id": "440490", "score": 0.5282949005884118 }, { "id": "1542550", "score": 0.5186573175633499 } ]
463529
The total book value of WTC's equity is $8 million, and book value per share is $20. The stock has a market-to-book ratio of 1.5, and the cost of equity is 11%. The firm's bonds have a face value of $4 million and sell at a price of 110% of face value. The yield to maturity on the bonds is 7%, and the firm's tax rate i...
9.18%
Percentage
Business
University
6
[ { "id": "1892820", "score": 0.9836606200154104 }, { "id": "763780", "score": 0.5721302281159127 }, { "id": "1272653", "score": 0.4717952206469837 }, { "id": "264779", "score": 0.4487971860525078 }, { "id": "1123880", "score": 0.4368649855691272 } ]
1233974
Calculate the first several terms of the Maclaurin series for cos(x) to the x^6 term.
1-x^2/2+x^4/24-x^6/720
Expression
Mathematics
University
6
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1048437
Which of the following forecasting method(s) can generate trend forecasts? I - Delphi Method II - Moving Averages III - Regression IV - Naive Method V - Sales Force Opinion Select one: a. only IV b. only V c. III and IV d. I, III, and V e. only III f. II, III, and IV
e
Multiple Choice
Business
University
6
[ { "id": "1048437", "score": 1 }, { "id": "1967457", "score": 0.7120398214255106 }, { "id": "935104", "score": 0.6713004813959049 }, { "id": "1307295", "score": 0.647094826316937 }, { "id": "1278460", "score": 0.6465454126422304 } ]
1674156
What happens when the limits of the integral are 0?
0
Integer
Mathematics
University
6
[ { "id": "1776539", "score": 0.452518299244751 }, { "id": "237288", "score": 0.3832798935948102 }, { "id": "544205", "score": 0.37442909722683476 }, { "id": "1241488", "score": 0.34987148963611997 }, { "id": "1244405", "score": 0.3440415268499759 } ]
245180
_____ are short-term, specific targets which are attainable, measurable, and controllable. A) Objectives B) Policies C) Goals D) Standard operating procedures
A
Multiple Choice
Business
University
6
[ { "id": "1058290", "score": 0.19205530806190135 }, { "id": "470497", "score": 0.19205530806190135 }, { "id": "728170", "score": 0.182641317793249 }, { "id": "311077", "score": 0.1725465810419187 }, { "id": "1380378", "score": 0.14668243686374233 } ]
417981
Let $x_0=2\cos\frac{\pi}{6}$ and $x_n=\sqrt{2+x_{n-1}},n=1,2,3...,$ prove that $\lim_{n\to \infty}2^{n+1}\sqrt{2-x_n}=\frac{\pi}{3}$
\pi/3
Expression
Mathematics
University
6
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2050557
Kant and Helmholtz agreed that: a. the faculties of the mind are innate b. the perceiver transforms what the senses provide c. perception is explained by unconscious inference d. nativism provides a better explanation of perception than does empiricism
b
Multiple Choice
Philosophy
University
6
[ { "id": "441459", "score": 0.2983253850226601 }, { "id": "1259079", "score": 0.21098887367977795 }, { "id": "1549095", "score": 0.1782502168120959 }, { "id": "1118260", "score": 0.13872045209094683 }, { "id": "566154", "score": 0.13872045209094683 } ]
1168992
Solve the integral: {eq}\int_0^e \ln(x^2)dx{/eq}
0
Integer
Mathematics
University
6
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1324891
What is the required sample size, if the researcher wants to be accurate to within 0.5 minutes at a 95% level of confidence, given that travel times are normally distributed with a mean of 25.2 minutes and a standard deviation of 5.4 minutes?
449
Integer
Mathematics
University
6
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1720962
If a stock portfolio is well diversified, then the portfolio variance: _____. A. will equal the variance of the most volatile stock in the portfolio. B. may be less than the variance of the least risky stock in the portfolio. C. must be equal to or greater than the variance of the least risky stock in the portfolio....
B
Multiple Choice
Finance
University
6
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1678028
If I flip a coin 300 times, what is the probability of getting heads at least 200 times?
5.47e-9
Float
Mathematics
University
6
[ { "id": "891282", "score": 0.537261680070794 }, { "id": "1932506", "score": 0.5014508316829187 }, { "id": "380087", "score": 0.4875944038787663 }, { "id": "240708", "score": 0.4762625971043758 }, { "id": "770723", "score": 0.45942361957543554 } ]
1985852
The Turpen Company buys a machine for $30,000. Normally, the machine would be sold to a customer for $ 42,000. However, in hopes of expanding the number of available customers, Turpen leases the machine for 4 years to the Royal Corporation. The accountants for the Turpen Company are currently studying how this lease sh...
d
Multiple Choice
Business
University
6
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1747725
Consider $G = (\mathbb{Z}/p\mathbb{Z})$, where $p$ is prime. Show that every non-zero element has order $p$.
p
Integer
Mathematics
University
6
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1913275
What is the probability that over the next 38 houses the realtor sells, the mean value is less than $240,000, given that the value of houses a local realtor has sold is normally distributed with a mean of $252,000 with a standard deviation of $85,000?
0.1922
Float
Mathematics
University
6
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195158
For a monopoly in equilibrium: a. MR = MC b. MC ≤ AC c. MR ≤ AC d. P ≥ AC
a
Multiple Choice
Economics
University
6
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1097214
What is the volume of the solid produced by revolving f(x)=cosx, x in [0,pi] around the x-axis?
1/2pi^2
Expression
Mathematics
University
6
[ { "id": "372175", "score": 0.5254920336562742 }, { "id": "1807198", "score": 0.513115010501429 }, { "id": "855305", "score": 0.4760154144774184 }, { "id": "635813", "score": 0.4604157330868425 }, { "id": "344006", "score": 0.45565678468131604 } ]
1603706
Suppose the own price elasticity of market demand for retail gasoline is -0.9, the Rothschild index is 0.3, and a typical gasoline retailer enjoys sales of $2,350,000 annually. What is the price elasticity of demand for a representative gasoline retailer's product?
-3
Integer
Economics
University
6
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672447
On the R-S model starting from a point E, if r decreases and q decreases, the new point will definitely be _ the original point E. a. to the left below b. to the left above c. to the right below d. to the right above e. it will be to the right of E but the precise location of "above, below or parallel to point E" ...
a
Multiple Choice
Economics
University
6
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27715
Given a circle with radius $R=1$ and center $B$. Let $A$ be a point such that $AB=a$ (where $0 < a < 1$). Let $C$ be a point on the circumference, and $\angle BAC = x$. Then $AC = \dfrac{\sin(x + \sin^{-1}(\sin(x)*a))}{\sin(x)}$. If $C$ runs over the circle with uniform angular speed with respect to $A$, is there any i...
1
Integer
Mathematics
University
6
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1890373
Vatsala Company discloses its financial information as follows: Income from operations $200,000 Interest expense 45,000 Gains/(losses) on sale of equipment (2,500) Net income 152,500 Beginning assets 2,600,000 Ending assets 3,200,000 Calculate return on investment based on the above information. A) 6.3% B) 5.3% C)...
B
Multiple Choice
Business
University
6
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57423
One way to encourage people to spend more on preventative health care is to reduce the price of health care to consumers by decreasing the health insurance copayment. At current copayment levels, if the price elasticity of demand for visits to see the doctor is -0.6, by what percentage will the quantity demanded of doc...
20%
Percentage
Economics
University
6
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1570714
Suppose that the economy is depicted by the following relationship. Expenditures = C + I + G + X C = $100 + 0.90(Y - T) G = $600 T = $600 I = $300 X = $250 The economy is in equilibrium at a level of real GDP or income of $_____. Round your answer to the nearest dollar.
$7100
Integer
Economics
University
6
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1868809
Premium Corporation has two service departments whose direct department costs are $75,000 and $10,000, respectively, and two producing departments whose direct department costs are $60,000 and $250,000, respectively. What are the combined total department costs for the producing departments after allocating the service...
$395,000
Integer
Business
University
6
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1476017
If stock prices are expected to climb next year, everything else held constant, the __________ curve for bonds shifts __________ and the interest rate __________. A) demand; left; rises B) demand; right; rises C) demand; left; falls D) supply; left; rises
A
Multiple Choice
Economics
University
6
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1168115
For OutBack Steakhouse, seating capacity is limited in the short run. In the long run, they can add as many seats as they want. Therefore, the price elasticity of supply for the meals in OutBack would be _____ in the short run than in the long run. A. higher B. lower C. the same D. more variable
B
Multiple Choice
Economics
University
6
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1892023
According to Finke's Four Factors model of creativity, ideas that work with existing products and services are high in _____. a. creative realism b. innovation c. structural connectedness d. fluency
c
Multiple Choice
Business
University
6
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1268706
Which of the following contains both secured and unsecured short-term liabilities? a. line of credit, transaction loan, commercial paper, trade credit b. commercial paper, line of credit, floating lien agreement, pledging accounts receivable c. pledging accounts receivable, factoring, inventory loans d. accrued wag...
b
Multiple Choice
Business
University
6
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944179
Solve {eq}\frac{d3y}{dx^3} \ of \ y = \frac{x}{x + 1}
\frac{6}{(x+1)^4}
Expression
Mathematics
University
6
[ { "id": "184668", "score": 0.5841661687463494 }, { "id": "1660447", "score": 0.5450171920787638 }, { "id": "380732", "score": 0.4894539446864062 }, { "id": "1397456", "score": 0.4870252094785858 }, { "id": "1290013", "score": 0.47247918508367326 } ]
988739
Today, you borrowed $5,200 on your credit card to purchase some furniture. The interest rate is 19 percent, compounded monthly, How long will take you to pay off this dept assuming that you do not charge anything else and make regular monthly payments of $120? A. 5.78 years B. 6.15 years C. 6.93 years D. 73.76 year...
B
Multiple Choice
Finance
University
6
[ { "id": "885973", "score": 0.6317350693455688 }, { "id": "1999664", "score": 0.5059125000644851 }, { "id": "1085145", "score": 0.4182819943766359 }, { "id": "319314", "score": 0.36343127396243163 }, { "id": "678195", "score": 0.35844787216311724 } ]
913533
A country's balance-of-payments surplus is equal to a. the decrease in the country's official exchange reservesb. net capital outflow minus the current account deficitc. the current account surplus plus private net capital inflowd. exports minus importse. imports minus exports
c
Multiple Choice
Economics
University
6
[ { "id": "1432769", "score": 0.40801203637333944 }, { "id": "314471", "score": 0.3786815587682703 }, { "id": "1030953", "score": 0.3783018783989314 }, { "id": "840006", "score": 0.3643140183160751 }, { "id": "1186625", "score": 0.3549545574856722 } ]
1337616
A good example of perfect price discrimination is: A. buying a concert ticket on the street corner. B. selling concert tickets to individuals on the street corner. C. buying concert tickets at the ticket window. D. selling concert tickets at the ticket window.
B
Multiple Choice
Economics
University
6
[ { "id": "1720579", "score": 0.23000525267582714 }, { "id": "863484", "score": 0.20105088313477903 }, { "id": "1827922", "score": 0.19275253462146164 }, { "id": "4938", "score": 0.184372889883883 }, { "id": "1194789", "score": 0.1670613963704258 } ]
74648
Is the solution $I = \oint_C\frac{\sin(\pi z)}{(z-1)^5}\,dz = 0$, where $C$ is the circle $|z|=2$, correct?
0
Integer
Mathematics
University
6
[ { "id": "866777", "score": 0.42899487490597654 }, { "id": "739891", "score": 0.422775580761842 }, { "id": "1683153", "score": 0.3631140086768162 }, { "id": "1770385", "score": 0.35699791427580946 }, { "id": "1402817", "score": 0.35287360400088763 } ]
58825
Use Lagrange multipliers to find the point on the plane x - 2y + 3z = 6 that is closest to the point (0, 5, 4).
(2/7, 31/7, 34/7)
Expression
Mathematics
University
6
[ { "id": "1650629", "score": 1 }, { "id": "58825", "score": 1 }, { "id": "1647489", "score": 0.6719059307105512 }, { "id": "690775", "score": 0.6129626892683698 }, { "id": "1135223", "score": 0.5511891855925539 } ]
1383325
Let xbar be the mean of a random sample of size n = 48 from the uniform distribution on the interval (0,2); that is, f(x) = 1/2 for 0 < x < 2. Approximate the probability P(0.9 < xbar < 1.1).
0.7698
Float
Mathematics
University
6
[ { "id": "1646367", "score": 0.26309398474900425 }, { "id": "1526496", "score": 0.2608369897592684 }, { "id": "1766559", "score": 0.26071578028566494 }, { "id": "136955", "score": 0.25989169938353957 }, { "id": "460889", "score": 0.25188953100957034 } ]
191963
Which of the following is not among the criteria for classifying a lease as a capital lease? A. The agreement specifies that ownership of the asset transfers to the lessee. B. The agreement contains a bargain purchase option. C. The noncancelable lease term is equal to 90% or more of the expected economic life of th...
C
Multiple Choice
Business
University
6
[ { "id": "1676674", "score": 0.6418771662645459 }, { "id": "1462063", "score": 0.6125608937560171 }, { "id": "323156", "score": 0.5694185218681763 }, { "id": "177932", "score": 0.5677146044916328 }, { "id": "1632880", "score": 0.5116738676057624 } ]
725234
For which values of the parameter $\beta$ is the following integral convergent $$\int_0^\infty \frac{3arctan(x)}{(1+x^{\beta-1})(2+cos(x))}\,dx$$
$\beta > 2$
Expression
Mathematics
University
6
[ { "id": "1837690", "score": 0.5140935187897665 }, { "id": "1784710", "score": 0.3704052218937546 }, { "id": "984169", "score": 0.3549125608464876 }, { "id": "909426", "score": 0.3520659902117498 }, { "id": "646190", "score": 0.33430754015345965 } ]
299136
Rational-emotive behavior therapy is to _____ as client-centered therapy is to _____. a. conscious; unconscious. b. direction; non-direction. c. passivity; activity. d. all of these.
b
Multiple Choice
Psychology
University
6
[ { "id": "1671855", "score": 0.2426053869108158 }, { "id": "325937", "score": 0.1630136377268878 }, { "id": "1777685", "score": 0.15321901186848866 }, { "id": "92150", "score": 0.14872082031470346 }, { "id": "281043", "score": 0.1458736649205185 } ]
37897
Let $P$ be defined by $P:=\{x \in \mathbb R | 0 \lt x\}$. Show that $0$ is the greatest lower bound of $P$. How do I prove rigorously that if $y \in \mathbb R$ is a lower bound of $P$ such that $0 \lt y$, then there exists some number $z \in P$ such that $z \lt y$?
0
Integer
Mathematics
University
6
[ { "id": "954410", "score": 0.5556623686283879 }, { "id": "262893", "score": 0.4887201632673363 }, { "id": "199056", "score": 0.4630818625702928 }, { "id": "1160826", "score": 0.4467245108367204 }, { "id": "585675", "score": 0.3845094312790217 } ]
1830522
Evaluate the integral {eq}\int_{-3}^3 \int_0^{\sqrt{9-x^2}} e^{x^2+y^2} \,dy\,dx
\frac{\pi}{2}(e^9-1)
Expression
Mathematics
University
6
[ { "id": "1243805", "score": 0.9363016159914874 }, { "id": "642513", "score": 0.8666595177256028 }, { "id": "593799", "score": 0.7540839553900575 }, { "id": "598720", "score": 0.7444064698282795 }, { "id": "1135737", "score": 0.7444064698282795 } ]
1761237
The following account balances were taken from ABC Company's 2020 balance sheets: January 1, 2020 December 31, 2020 Accounts payable ? 50,000 Accounts receivable ? 82,000 Cash 35,000 38,000 Common stock 105,000 135,000 Inventory 70,000 ? Income taxes payable 17,000 ? Land 130,000 190,000 Reta...
92000
Integer
Business
University
6
[ { "id": "2097696", "score": 0.6025341435341927 }, { "id": "1315231", "score": 0.5755708634927857 }, { "id": "1400324", "score": 0.5733323239359226 }, { "id": "1674246", "score": 0.5656969027122503 }, { "id": "909597", "score": 0.5400553572762735 } ]
267761
A major disadvantage of the payback period method is it: A) is useless as a risk indicator. B) ignores cash flows beyond the payback period. C) does not directly account for the time value of money. D) All of the above are correct. E) Only answers B and C are correct.
E
Multiple Choice
Business
University
6
[ { "id": "1603489", "score": 0.42970788730971804 }, { "id": "617052", "score": 0.42348557063355413 }, { "id": "1222320", "score": 0.375921019650533 }, { "id": "1527782", "score": 0.33531609580583144 }, { "id": "1138027", "score": 0.2899534665204053 } ]
906713
What is the probability that the random sample of 100 nontraditional students has a mean GPA greater than 3.42, given that the population mean and standard deviation for the GPA of nontraditional students is μ = 3.5 and σ = 0.5?
0.9452
Float
Mathematics
University
6
[ { "id": "2005057", "score": 0.6181175645907514 }, { "id": "545284", "score": 0.4840885106573602 }, { "id": "849572", "score": 0.4191129727728745 }, { "id": "1167487", "score": 0.40974707733181126 }, { "id": "1693711", "score": 0.39167857115484034 } ]
373387
Air is contained in a variable-load piston device equipped with a paddle wheel. Initially, air is at 500 kPa and 27{eq}\displaystyle ^o {/eq}C. The paddle wheel is now turned by an external electric motor until 50 kJ/kg of work has been transferred to air. During this process, heat is transferred to maintain a constan...
50 KJ/Kg
Integer
Physics
University
6
[ { "id": "1970192", "score": 0.30230973379667836 }, { "id": "2019866", "score": 0.30084467203053245 }, { "id": "538612", "score": 0.2759926411108109 }, { "id": "1969208", "score": 0.2631615809355532 }, { "id": "244867", "score": 0.24137015811078405 } ]
20433
Determine the smallest degree of the Maclaurin polynomial required for the error in the approximation of the function at x = 0.8 to be less than 0.001 for the function e^x.
5
Integer
Mathematics
University
6
[ { "id": "271215", "score": 0.5338601649156581 }, { "id": "1187533", "score": 0.36770860249354226 }, { "id": "1599280", "score": 0.3302271090253467 }, { "id": "1048248", "score": 0.3260740703998535 }, { "id": "1175365", "score": 0.31880568422996297 } ]
1483593
A veterinarian interested in studying the causes of enteroliths in horses suspects that a diet high in alfalfa may be a cause. The veterinarian decides to use the following design: identify 30 horses at high risk for enteroliths and divide them into groups 10 groups of 3 horses. Some groups consisted of horses in barn ...
A
Multiple Choice
Health
University
6
[ { "id": "295747", "score": 0.2855636653803183 }, { "id": "563803", "score": 0.1411126696612559 }, { "id": "1003318", "score": 0.11637023494042953 }, { "id": "1804110", "score": 0.11055975135459668 }, { "id": "481782", "score": 0.10619257947130975 } ]
411094
In the market for reserves, if the federal funds rate is between the discount rate and the interest rate paid on excess reserves, a _____ in the reserve requirement _____ the demand for reserves, raising the federal funds interest rate, everything else held constant. A) rise; decreases B) rise; increases C) decline;...
B
Multiple Choice
Economics
University
6
[ { "id": "53938", "score": 0.6107055241455293 }, { "id": "115722", "score": 0.48469058919427865 }, { "id": "726637", "score": 0.43847361321135947 }, { "id": "483356", "score": 0.43446771088286 }, { "id": "1013521", "score": 0.41938576307742437 } ]
26228
FutureValue Compute the future value in year 9 of a $2,000 deposit in year 1 and another $1,500 deposit at the end of year 3 using a 10 percent interest rate.
$ 6,944.52
Float
Finance
University
6
[ { "id": "951739", "score": 0.6024842137326734 }, { "id": "900181", "score": 0.3925506256456748 }, { "id": "1226984", "score": 0.3866523677305465 }, { "id": "2017024", "score": 0.36173766514919936 }, { "id": "1594026", "score": 0.3583142823374379 } ]
1692934
Which of the following decreases a taxpayer's at-risk amount? a. Cash distributions b. Increases in liabilities c. Income items d. Cash contributions
a
Multiple Choice
Business
University
6
[ { "id": "1929363", "score": 0.31755463608570206 }, { "id": "1714213", "score": 0.31594693780967803 }, { "id": "1858683", "score": 0.29681386740420374 }, { "id": "1890248", "score": 0.29465341360834174 }, { "id": "666812", "score": 0.29324255391932896 } ]
1193189
Assume that the short run marginal product curve is a smooth inverted U-shaped curve, when labor input increases, the corresponding total product curve has a(an) A. U-shape because it will be concave first and then convex later. B. reverse S-shape because it will be convex first and concave later. C. S-shape because...
C
Multiple Choice
Economics
University
6
[ { "id": "1282814", "score": 0.5128597349711288 }, { "id": "1987787", "score": 0.4430256364827385 }, { "id": "732637", "score": 0.3222694202816317 }, { "id": "1966450", "score": 0.3128730567947423 }, { "id": "1179609", "score": 0.22759111381524838 } ]
234468
Which one of these is the primary input in capacity planning? a. overall cost estimates b. supply chain capabilities c. competitors' strengths d. past successes or failures e. demand forecasts
e
Multiple Choice
Business
University
6
[ { "id": "1703533", "score": 0.17766075740095427 }, { "id": "1945265", "score": 0.168940726396054 }, { "id": "853848", "score": 0.1648872266136779 }, { "id": "210015", "score": 0.1555570532745412 }, { "id": "1832004", "score": 0.14741870323083534 } ]
1553036
At December 31, 2015 and 2016, Funk & Noble Corporation had outstanding 1,320 million shares of common stock and 21 million shares of 6%, $100 par value cumulative preferred stock. No dividends were declared on either the preferred or common stock in 2015 or 2016. Net income for 2016 was $3,294 million. The income tax ...
$2.40
Float
Business
University
6
[ { "id": "972984", "score": 0.9432354010909298 }, { "id": "1717242", "score": 0.93272845399057 }, { "id": "1650816", "score": 0.9179630107588457 }, { "id": "293198", "score": 0.536023154986013 }, { "id": "780474", "score": 0.5206085425793169 } ]
472106
On June 1, 2008, Carolyn places in service a new automobile that cost $25,000. The car is used 70% for business and 30% for personal use. (Assume this percentage is maintained for the life of the car.) She does elect not to take additional first-year depreciation. Determine the cost recovery deduction for 2009. a) $3,...
c
Multiple Choice
Business
University
6
[ { "id": "1753972", "score": 0.26473071682129407 }, { "id": "582846", "score": 0.2371932521852302 }, { "id": "96346", "score": 0.23246241279038257 }, { "id": "1372328", "score": 0.22934208853649535 }, { "id": "1039330", "score": 0.2226864375469058 } ]
7822
How do you find the area of a circle using integrals in calculus?
piR^2
Expression
Mathematics
University
6
[ { "id": "2088120", "score": 0.535070412402312 }, { "id": "442648", "score": 0.42052099123780295 }, { "id": "1663781", "score": 0.42052099123780295 }, { "id": "1006671", "score": 0.37488788698673237 }, { "id": "1580660", "score": 0.37174611517069267 } ]
248415
Prepare a cash budget for June. Donald Company has the following information: Cash Balance, May 31 45,000 Dividends paid in June 12,000 Cash paid for operating expenses in June 36,800 Equipment depreciation expense in June 4,500 Patent amortization expense in June 2,000 Cash collections on sales in June 99,000 Merch...
21500
Integer
Business
University
6
[ { "id": "62718", "score": 0.4482532077393485 }, { "id": "1741185", "score": 0.4448142308300931 }, { "id": "1317736", "score": 0.43857147450385053 }, { "id": "96518", "score": 0.43234419462668816 }, { "id": "297072", "score": 0.3906926374211115 } ]
1924069
The multiplier that arises from equal increases in government spending and taxes is called the: a. simple multiplier. b. tax multiplier c. balance budget multiplier. d. government spending multiplier.
c
Multiple Choice
Economics
University
6
[ { "id": "534139", "score": 0.5212536387118167 }, { "id": "464276", "score": 0.4601410392971213 }, { "id": "183752", "score": 0.3952875309989966 }, { "id": "1826873", "score": 0.393217496930122 }, { "id": "150120", "score": 0.3425493768778981 } ]
1138094
Which of the following factors are likely to result in fewer fixed costs? a. greater capital requirement for production b. unreliable resale markets c. stronger labor unions d. longer time horizons
d
Multiple Choice
Economics
University
6
[ { "id": "2029116", "score": 0.22334216960432055 }, { "id": "1310871", "score": 0.21747000575869702 }, { "id": "1593430", "score": 0.18888471128673004 }, { "id": "1924217", "score": 0.18545490542776208 }, { "id": "339068", "score": 0.17280845641210127 } ]
88131
Evaluate the line integral of f(x,y,z) = x+y+z over the curve r(t) = cos(t)i+sin(t)j+tk on the interval -2π ≤ t ≤ 2π.
0
Integer
Mathematics
University
6
[ { "id": "1058395", "score": 0.6461037879242684 }, { "id": "864455", "score": 0.6255560980063145 }, { "id": "307594", "score": 0.4846414579856177 }, { "id": "816909", "score": 0.39510441866652884 }, { "id": "2063805", "score": 0.27197183383054296 } ]
1657225
What is the limit of ln(1+5x) - ln(3+4x) as x approaches infinity?
ln(5/4)
Float
Mathematics
University
6
[ { "id": "694962", "score": 0.8172573195203976 }, { "id": "1471763", "score": 0.8078226155503282 }, { "id": "1231151", "score": 0.6132692597182103 }, { "id": "1982398", "score": 0.6050964626247084 }, { "id": "2005651", "score": 0.5465743033593213 } ]
639580
How can I prove that the radius of convergence of $\sum \frac{n!}{n^n} a_n z^n$ is $eR$ when $R>0$ is the radius of convergence of $\sum a_n z^n$, specifically proving the equality (not just $\ge eR$) without using Stirling's formula?
eR
Expression
Mathematics
University
6
[ { "id": "1800368", "score": 0.38466201817808826 }, { "id": "2095238", "score": 0.3564466087126691 }, { "id": "1943649", "score": 0.3490894775223863 }, { "id": "803538", "score": 0.348803763102158 }, { "id": "546000", "score": 0.33704402899983504 } ]
1845267
Evaluate {eq}\displaystyle\iint_{S} f(x, y, z) \, \mathrm{d}S{/eq} where {eq}f(x, y, z) = xz{/eq} and {eq}S{/eq} is the part of the plane {eq}y + z = 4{/eq} inside the cylinder {eq}x^2 + y^2 = 16{/eq}.
0
Integer
Mathematics
University
6
[ { "id": "2020589", "score": 0.839714507843473 }, { "id": "319464", "score": 0.8321167853056601 }, { "id": "55830", "score": 0.825543249743339 }, { "id": "1727658", "score": 0.805512905558255 }, { "id": "481935", "score": 0.797278579122866 } ]
1762760
Five thousand bonds with a face value of $2000 each, are sold at 108. The entry to record the issuance is: a. Cash 1,08,00,000 Discount on Bonds Payable 8,00,000 Bonds Payable 1,00,00,000 b. Cash 1,08,00,000 Bonds Payable 1,08,00,000 c. Cash 1,00,00,000 Premium on Bonds Payable 8,00,000 Bonds Payable 1,08,00,00...
d
Multiple Choice
Business
University
6
[ { "id": "1368073", "score": 0.6565377702577238 }, { "id": "400311", "score": 0.5046023497761061 }, { "id": "1085852", "score": 0.4694510412687497 }, { "id": "740490", "score": 0.4596775241933865 }, { "id": "1033876", "score": 0.459133556594557 } ]
557765
Which of the following statements is a correct description of Say's law in a money economy? A. A rise in saving would lead to a fall in consumption, thereby decreasing aggregate demand. B. This law holds only if the interest rate is fixed. C. A rise in savings does not change aggregate demand.
C
Multiple Choice
Economics
University
6
[ { "id": "1111653", "score": 0.3659115677564095 }, { "id": "773238", "score": 0.3556639629319061 }, { "id": "332562", "score": 0.3556639629319061 }, { "id": "1960482", "score": 0.3446438155326481 }, { "id": "903388", "score": 0.3446438155326481 } ]
1667298
Sketch the plane curve and find its length over the given interval. r(t)=a\cos^3ti+a\sin^3tj, [0,2\pi]
6a
Expression
Mathematics
University
6
[ { "id": "1058395", "score": 0.3740106204746485 }, { "id": "864455", "score": 0.3621161626504276 }, { "id": "381606", "score": 0.3312364629052499 }, { "id": "1582401", "score": 0.3250648182842901 }, { "id": "308541", "score": 0.3055850988218362 } ]
717117
If you want to be 95 confident of estimating the population proportion within a sampling error of +- .02 and there is historical evidence that the population proportion is approximately 0.40, what sample size is needed?
2305
Integer
Mathematics
University
6
[ { "id": "717117", "score": 1.0000000000000002 }, { "id": "1759738", "score": 1.0000000000000002 }, { "id": "500570", "score": 0.5334596106147061 }, { "id": "1784337", "score": 0.5289001784234069 }, { "id": "936437", "score": 0.5092739664042478 } ]
840727
What is the probability that the sample mean is less than 2.9 inches, given that the average annual increase in tree diameter is 3.1 inches with a standard deviation of 0.5 inches and a random sample of n = 50 trees is collected?
0.0023
Float
Mathematics
University
6
[ { "id": "874027", "score": 0.7102639612507171 }, { "id": "1656514", "score": 0.6297732338395765 }, { "id": "166794", "score": 0.60120226025101 }, { "id": "1769384", "score": 0.5913461847320955 }, { "id": "622186", "score": 0.5867857410276612 } ]
753319
Sosa Co.'s stockholders' equity at January 1, 2010, is as follows: Common stock$10 par value authorized 300,000 shares Outstanding 225,000 shares $2,250,000 Paid-in capital in excess of par 900,000 Retained earnings 2,190,000 Total $5,340,000 During 2010, Sosa had the following stock transactions: Acquired 6,000 sh...
$908,400
Integer
Business
University
6
[ { "id": "267131", "score": 0.8277135731048043 }, { "id": "1361265", "score": 0.8102566921682202 }, { "id": "1487017", "score": 0.5817186648297106 }, { "id": "1446711", "score": 0.568760621395297 }, { "id": "1090218", "score": 0.5424304027901932 } ]
1786754
Jackson Industries has borrowed $125,000 under a line-of-credit agreement. While the company normally maintains a checking account balance of $15,000 in the lending bank, this credit line requires a 20% compensating balance. The stated interest rate on the borrowed funds is 10%. What is the effective annual interest ra...
12.5%
Percentage
Business
University
6
[ { "id": "1303898", "score": 0.4274603420181513 }, { "id": "2001693", "score": 0.4174607743319355 }, { "id": "1366788", "score": 0.4124566487643936 }, { "id": "260905", "score": 0.3878608311888899 }, { "id": "2029288", "score": 0.3075824172324965 } ]
110380
If a law that requires a manufacturer to deal with every distributor were to be lifted: a. The manufacturer does worse in negotiations because now distributors have a lower disagreement value. b. The manufacturer does worse in negotiations because now the gains from reaching an agreement have fallen. c. The manufact...
c
Multiple Choice
Economics
University
6
[ { "id": "421910", "score": 0.25294355966210424 }, { "id": "1258516", "score": 0.2155596202482405 }, { "id": "1550029", "score": 0.175472438611611 }, { "id": "1107082", "score": 0.17307770263077432 }, { "id": "1697233", "score": 0.1706479585886351 } ]
1740123
Which of the following is not an example of an other revenue or expense item? a. Loss due to the write-down of inventory b. Loss of disposal of a major line of business c. Loss on the sale of equipment d. Uninsured loss due to a flood
a
Multiple Choice
Business
University
6
[ { "id": "1548869", "score": 0.3405184878524855 }, { "id": "802822", "score": 0.34045480062075967 }, { "id": "1905807", "score": 0.3309568923911842 }, { "id": "2036023", "score": 0.31103438509946135 }, { "id": "718451", "score": 0.30962500195505455 } ]
1680674
How would we have known to multiply $I+A$ by $\sum_{j=0}^n(-A)^j$ to find its inverse? If there isn't an identity or formula that would indicate such a multiplication is a reasonable avenue of inquiry, then how would we otherwise derive $\sum_{j=0}^n(-A)^j$?
\sum_{j=0}^n (-A)^j
Expression
Mathematics
University
6
[ { "id": "505470", "score": 0.2713267801771303 }, { "id": "123701", "score": 0.2556509767640101 }, { "id": "1397645", "score": 0.23268330472095403 }, { "id": "1775408", "score": 0.2320504835428598 }, { "id": "1014112", "score": 0.2215892350300137 } ]
915364
Which of the following statements is true about the sequential method of allocating support department costs to production departments? a. The sequential method captures some but not all the inter-support-department services by allocating support departments to other support departments and production departments in a...
a
Multiple Choice
Business
University
6
[ { "id": "1291722", "score": 0.3473674082043049 }, { "id": "1868809", "score": 0.3398384666598765 }, { "id": "573703", "score": 0.33863660846752547 }, { "id": "563368", "score": 0.33693901195297365 }, { "id": "99898", "score": 0.33456893114347114 } ]
1348592
A transaction consists of a debit to Depreciation Expense for $9,000 and a credit to Accumulated Depreciation for $9,000. What type of activity does this record? a. operating activity b. investing activity c. financing activity d. non-cash investing and financing activity
a
Multiple Choice
Business
University
6
[ { "id": "553850", "score": 0.9762224728416035 }, { "id": "123233", "score": 0.8447967028765391 }, { "id": "136409", "score": 0.7653007266689317 }, { "id": "1777685", "score": 0.7191201667275988 }, { "id": "281043", "score": 0.700546611310449 } ]
1456706
Use the differential dy to approximate Δy when x changes as indicated. y = x/(x^2+1) ; from x=2 to x=1.96
0.0048
Float
Mathematics
University
6
[ { "id": "321987", "score": 0.30626048595085964 }, { "id": "2034878", "score": 0.30117584284377424 }, { "id": "255872", "score": 0.23705625996783986 }, { "id": "113412", "score": 0.22248603625633173 }, { "id": "1017929", "score": 0.21384225133406892 } ]
924920
Calculate the current beta for Mercury, Inc. The rate on 30-year U.S. Treasury bonds is currently 8%. The market risk premium is 5%. Mercury returned 18% to its stockholders in the latest year.
2
Integer
Finance
University
6
[ { "id": "331034", "score": 0.2990803869298335 }, { "id": "836394", "score": 0.28112351824348797 }, { "id": "681900", "score": 0.2780061719821779 }, { "id": "1716551", "score": 0.2778994080334643 }, { "id": "672468", "score": 0.2688549016894479 } ]
419875
The demand for x camcorder tapes, in thousands, is given by: p = -.01 x^2 - .2x + 23. Determine Consumer's Surplus at the price-demand level p- = $8.
$270
Integer
Economics
University
6
[ { "id": "1107859", "score": 0.36285657174664987 }, { "id": "1366543", "score": 0.3628068487715301 }, { "id": "1456321", "score": 0.32270189325417625 }, { "id": "1623001", "score": 0.2842430288284375 }, { "id": "1186625", "score": 0.2795754725348043 } ]
1149145
All are problems of correlational research, except one: a) continuous variables. b) heteroscedasticity. c) restriction of the range. d) a latent bimodal distribution.
a
Multiple Choice
Mathematics
University
6
[ { "id": "1572918", "score": 0.226867501388608 }, { "id": "621984", "score": 0.173955850113998 }, { "id": "1062790", "score": 0.15608710710092677 }, { "id": "580322", "score": 0.1505254433485678 }, { "id": "1920265", "score": 0.14902035848578032 } ]
181371
Compute the volume of the solid enclosed by the paraboloid {eq}\; z = 3x^2 + 2y^2 \; {/eq} and the planes {eq}x = 0, \; y = 6, \; y = x, \; z = 0 {/eq}.
972
Integer
Mathematics
University
6
[ { "id": "400143", "score": 0.8737311880459522 }, { "id": "999542", "score": 0.8737311880459522 }, { "id": "20085", "score": 0.6809944150266718 }, { "id": "1554816", "score": 0.6698404440020614 }, { "id": "1121826", "score": 0.6275855369809269 } ]
596963
A racing car consumes a mean of 108 gallons of gas per race with a variance of 36. If 49 racing cars are randomly selected, what is the probability that the sample mean would differ from the population mean by greater than 1.5 gallons?
0.0802
Float
Mathematics
University
6
[ { "id": "1048077", "score": 0.3383575810598263 }, { "id": "1797179", "score": 0.3133003696450666 }, { "id": "388102", "score": 0.2976190429126632 }, { "id": "1646367", "score": 0.2955599616335394 }, { "id": "136955", "score": 0.29043569512832185 } ]
726292
Let $p$ be a prime number. Prove that among $1,2,\ldots,p-1,$ exactly $\phi(d)$ elements have order $d$, given that $d \mid (p-1)$. How can we count solutions $k$ to $k^d \equiv 1 \pmod{p}$?
\phi(d)
Integer
Mathematics
University
6
[ { "id": "566894", "score": 0.41273716316822456 }, { "id": "254931", "score": 0.41215545832010003 }, { "id": "1733827", "score": 0.39226729310598707 }, { "id": "627696", "score": 0.38107732400115646 }, { "id": "862800", "score": 0.3223008082736127 } ]
58361
Please complete the following statement: comparative advantage describes? a. how one country is more productive than another in all goods. b. how one country has a lower labor requirement for a particular good than another country's labor requirement. c. how one country can produce a good with a lower opportunity co...
c
Multiple Choice
Economics
University
6
[ { "id": "1131833", "score": 0.5341642463023032 }, { "id": "1040854", "score": 0.5341642463023032 }, { "id": "221443", "score": 0.4532844758486286 }, { "id": "203535", "score": 0.40755852267109693 }, { "id": "561954", "score": 0.37941452911705176 } ]
136338
Suppose that domestic currency is going through a large devaluation. Which of the following will occur in the medium run as a result of this devaluation? a. an increase in net exports b. an increase in the price level c. an increase in output d. all of the above
d
Multiple Choice
Economics
University
6
[ { "id": "583120", "score": 0.515796455469792 }, { "id": "1956895", "score": 0.38137977556450053 }, { "id": "202585", "score": 0.38137977556450053 }, { "id": "889057", "score": 0.3686213548846944 }, { "id": "1509024", "score": 0.3657840768769629 } ]
1059683
The demand for labor is a downward sloping demand curve because A. wages for workers decline as the number of workers hired rises. B. the Law of Diminishing Returns implies that wages fall as more workers are hired. C. the Law of Diminishing Returns does not affect the productivity of labor. D. the Law of Diminishi...
E
Multiple Choice
Economics
University
6
[ { "id": "2091092", "score": 0.41897623563301184 }, { "id": "1605854", "score": 0.40894723202307237 }, { "id": "814737", "score": 0.3110880152321752 }, { "id": "491603", "score": 0.3081850330511925 }, { "id": "1464787", "score": 0.29704256196071943 } ]
856598
Why does the SRAS curve have a positive slope? a. Because your (boring) instructor says it does. b. When P rises, people substitute away from more expensive goods and services, so SRAS decreases. c. When P rises, input prices rise, so SRAS increases. d. When P rises, the supply of money shifts right, so r decreases...
e
Multiple Choice
Economics
University
6
[ { "id": "1341300", "score": 0.37412755456108404 }, { "id": "943533", "score": 0.3654447610168161 }, { "id": "1352101", "score": 0.34736312417298804 }, { "id": "55548", "score": 0.3044104850622275 }, { "id": "1722529", "score": 0.29855232397904896 } ]
1705064
Sixty percent of all undergraduate applications to a certain university are from the state that the university is located in. Of the first 50 undergraduate applicants for the upcoming fall semester, not a single one is from the state that the university is located in. What is the probability that the next applicant wil...
c
Multiple Choice
Mathematics
University
6
[ { "id": "109591", "score": 0.25370763480795355 }, { "id": "627381", "score": 0.22728461626131852 }, { "id": "96372", "score": 0.22568643497532836 }, { "id": "171739", "score": 0.214664764662328 }, { "id": "849572", "score": 0.20737610217939617 } ]
1971546
Let $a=\sqrt{3+\sqrt[3]{3}}$. How to compute the minimal polynomial of $a$ over $\mathbb{Q}$ and $[\mathbb{Q}(a):\mathbb{Q}]$?
6
Integer
Mathematics
University
6
[ { "id": "874362", "score": 0.8228796852123739 }, { "id": "495177", "score": 0.8084914284356259 }, { "id": "1352420", "score": 0.6732461569581389 }, { "id": "894920", "score": 0.6519567329126108 }, { "id": "1700926", "score": 0.6419746153380526 } ]
2050439
A citator will not indicate that the validity of a revenue ruling has been impacted by which of the following: a. Issuance of a later revenue ruling modifying the revenue ruling. b. Issuance of a later revenue ruling superseding the revenue ruling c. Decision by a court questioning or invalidating the authoritative ...
e
Multiple Choice
Law
University
6
[ { "id": "1295784", "score": 0.21782369140972513 }, { "id": "849573", "score": 0.18581506821402125 }, { "id": "665492", "score": 0.18277018352106225 }, { "id": "613245", "score": 0.14726354152325824 }, { "id": "1326857", "score": 0.14452439967926675 } ]
981343
Stock Y has a beta of 1.4 and an expected return of 16.5 percent. Stock Z has a beta of .7 and an expected return of 9.8 percent. What would the risk-free rate have to be for the two stocks to be correctly priced? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g.,...
3.10%
Percentage
Finance
University
6
[ { "id": "1614063", "score": 0.8538923213716987 }, { "id": "1183332", "score": 0.8273593376099504 }, { "id": "1456798", "score": 0.8101061899227369 }, { "id": "1888228", "score": 0.7969724387236182 }, { "id": "77504", "score": 0.784087762065717 } ]