Advanced Placement (AP), 18.10.2020 09:01, jake56555

In a mixed economy, both private business and the government have roles to play. To see some examples, match each sentence beginning with its correct ending.

In a mixed economy, both private business and the government have roles to play. To see some exampl

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answered: kordejah348

A. Private businesses make the materials used in space rockets, ➡️ but the National Aeronautics & Space run the space program.

B. Private maufacturers build combat helicopters, ➡️ but the Department of Defense buys, owns, and uses the helicopters

C. Private food makers compete to make the tastiest breakfast cereal, ➡️ but the Food & Drug Administration requires nutrition labels on boxes.

D. Private cosmetic companies compete to create the most clump-free mascara, ➡️ but the Food & Drug Administration outlaws toxic ingredients in makeup.

E. Private contractors build new courthouses, ➡️ but the government owns the buildings and runs the court system.

F. Private companies design flashy ads to attract consumers' attention, ➡️ but the Federal Trade Commission outlaws telling lies in advertising.

G. Private oil companies refine oil to make gasoline for people's cars, ➡️ but the government taxes gasoline to pay for roads and other services.

H. Private individuals compete to get jobs to support themselves, ➡️ but the Department of Economic Security helps those who lose their job or can't work.

These are some of the functions/roles of both the private business and the government. Each of them have specific roles they play in a mixed economy

answered: Guest

c. the net deposit amount.

answered: Guest

The answer is (d) 7/2======we have $f(x) = \begin{cases} x & \text{ for } x \le 0 \\ x + 1 & \text{ for } x \ \textgreater \ 0 \end{cases}$ we also have an integral $\displaystyle\int_{-2}^1 x\, f(x)\; dx$ notice how function f splits up at x = 0. there's a left piece and a right pieceso we'll need to do the same thing with our integral: split it at x = 0we use a property of integrals that allows us to split up and sum: $\displaystyle\int_{-2}^1 x\, f(x)\; dx = \displaystyle\int_{-2}^0 x\, f(x)\; dx + \displaystyle\int_{0}^1 x\, f(x)\; dx$ notice that for the piecewise function f, the function has the equationf(x) = x when x ≤ 0. so for the integral $\int_{-2}^0 x\, f(x)\; dx$ , f(x) = x so it changes into $\begin{aligned} \int_{-2}^0 x\, f(x)\; dx & = \int_{-2}^0 x \cdot x\; dx \\ & = \int_{-2}^0 x^2\; dx \\ & = \left[\frac{x^3}{3}\right]_{-2}^0 & & \text{\footnotesize antidifferentiate} \\ & = 0 - \frac{(-2)^3}{3} \\ & = \frac{8}{3} \end{aligned}$ for the piecewise function f, the function has the equationf(x) = x+1 when x > 0. for the integral $\int_{0}^1 x\, f(x)\; dx$ , we have $\begin{aligned} \int_{0}^1 x\, f(x)\; dx & = \int_{0}^1 x(x+1)\; dx \\ & = \int_{0}^1 (x^2+x)\; dx \\ & = \left[ \frac{x^3}{3} + \frac{x^2}{2}\right]_0^1 \\ & = \frac{1}{3} + \frac{1}{2} - 0 = \frac{5}{6} \end{aligned}$ therefore, back to our splitted integral: $\begin{aligned} \displaystyle\int_{-2}^1 x\, f(x)\; dx & = \displaystyle\int_{-2}^0 x\, f(x)\; dx + \displaystyle\int_{0}^1 x\, f(x)\; dx \\ & = \frac{8}{3} + \frac{5}{6} \\ & = \frac{7}{2} \end{aligned}$
Can anyone me on this ap calc question? ?

Can anyone me on this ap calc question? ?

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In a mixed economy, both private business and the government have roles to play. To see some example...