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One way the government can use fiscal policy to fight a recession is to: spend less money. decrease Social Secturity payments. cut taxes. reduce welfare subsidies.

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In the photoelectric effect experiment, a certain metal is ionized if it absorbs 4.64 eV (7.43x10-19 J) of energy from a photon. What happens if one million photons, each with an energy of 2.32 eV (3.72x10-19 J), hit the metal? Group of answer choices Nothing happens The metal melts 500,000 metal atoms are ionized A single metal atom is ionized

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A poll conducted in May 2018 asked 1000 likely voters if they believe President Trump is more aggressive than most recent presidents in his handling of trade policy. The resulting 95% confidence interval was (0.64, 0.70). Use this information to answer the following three questions.

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Question 17 Not yet answered Points out of 1.00 Flag question The two or more 20-ampere small-appliance branch circuits required by the NEC shall serve all wall and floor receptacle outlets in the following locations EXCEPT: Select one: Oa. pantry Ob. breakfast room Oc. dining room Od. living room

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Core self-evaluations are ______. A. evaluations individuals make about their personality B. conclusions individuals have about their competence and self- worth C. an individual's ability to identify opportunities and show initiative rather than react to situations D. negative evaluations of self E. ability to adjust behavior to the situation

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Question 27 The \t escape character causes the output to skip over to the next horizontal tab. O True O False

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1. Suppose that $X$ follows an exponential distribution with parameter $\lambda > 0$, the Probability Density Function (PDF) of which is $f(x) = \begin{cases} \lambda e^{-\lambda x} & x \ge 0, \\ 0 & x < 0. \end{cases}$ Recall that $E[X] = \lambda^{-1}$. (a) (10 marks) Prove the following no-memory property: $P(X \le x + y \mid X \ge x) = P(X \le y)$ for all $x > 0$ and $y > 0$. (b) (10 marks) Let $Y$ follow the same distribution as $X$. Assume that $X$ and $Y$ are independent. Find $E[\min\{X, Y\}]$. (c) (10 marks) Under the same assumption as question (b), define $Z = |X - Y|$. Find $E[Z]$.

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A 100 gallon tank is initially filled with pure water. Brine(salty water)enters containing 0.2 lbs of salt per gallon at a rate of 5 gallons per minute. The mixture is kept thoroughly mixed and drains at a rate of 4 gallons per minute. Let y = y(t) = salt amount(lbs) at time t(minutes). Then $y' = $rate in - rate out. Which differential equation models the change in salt content at time t? $\frac{4}{100}y' + y = 1$ $y(0) = 0$ $\frac{4}{100 - t}y' + y = 1$ $y(0) = 0$ $\frac{4}{100 + t}y' + y = 1$ $y(0) = 0$ $\frac{4}{100 + t}y' - y = 1$ $y(0) = 0$ $\frac{4}{100 - t}y' - y = 1$ $y(0) = 0$ The correct differential equation is $\frac{4}{100 + t}y' + y = 1$, $y(0) = 0$. Solving this differential equation yields the equation for the salt amount at time t. y(t) = 0.2(100 + t) - 0.2 \cdot 100^5(100 + t)^4. Use the solution to determine the concentration of salt after t = 40 minutes. Concentration = ____ pounds/gallon. Submit Question Part 2 of 2

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Find an equivalent double integral of $\int_0^2 \int_{-\sqrt{4-x^2}}^{\sqrt{4-x^2}} dydx$ with the order of integration reversed. A $\int_0^2 \int_0^{\sqrt{4-y^2}} dxdy$ B $\int_{-2}^2 \int_{-\sqrt{4-y^2}}^{\sqrt{4-y^2}} dxdy$ C $\int_0^2 \int_{-\sqrt{4-y^2}}^{\sqrt{4-y^2}} dxdy$ D $\int_{-2}^2 \int_0^{\sqrt{4-y^2}} dxdy$

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Consider the curve $r(t) = (t, \cos(t), \sin(t))$ where $0 \le t \le 4\pi$. Carefully sketch the curve described by $r(t)$ and its projections onto the coordinate axis.

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richard m.