On a separate sheet of paper, write the letter of the key term that best matches each definition below. change in total revenue from the sale of one additional unit of output

$$\begin{matrix} \text{a. change in quantity supplied} & \text{ g. production function }\\ \text{b. diminishing returns } & \text{h. Law of Supply }\\ \text{c. fixed costs } & \text{ i. total cost }\\ \text{d. marginal analysis } & \text{ j. change in supply }\\ \text{e. marginal product } & \text{k. overhead }\\ \text{f. marginal revenue } & \text{ l. total product}\\ \end{matrix}$$

On a separate sheet of paper, write the letter of the key term that best matches each definition below. decision making that compares the additional costs with the additional benefits of an action

$$\begin{matrix} \text{a. change in quantity supplied} & \text{ g. production function }\\ \text{b. diminishing returns } & \text{h. Law of Supply }\\ \text{c. fixed costs } & \text{ i. total cost }\\ \text{d. marginal analysis } & \text{ j. change in supply }\\ \text{e. marginal product } & \text{k. overhead }\\ \text{f. marginal revenue } & \text{ l. total product}\\ \end{matrix}$$

On a separate sheet of paper, write the letter of the key term that best matches each definition below. total fixed costs

$$\begin{matrix} \text{a. change in quantity supplied} & \text{ g. production function }\\ \text{b. diminishing returns } & \text{h. Law of Supply }\\ \text{c. fixed costs } & \text{ i. total cost }\\ \text{d. marginal analysis } & \text{ j. change in supply }\\ \text{e. marginal product } & \text{k. overhead }\\ \text{f. marginal revenue } & \text{ l. total product}\\ \end{matrix}$$

If a normal distribution has a mean of 100 and a standard deviation of 10, then (A) How many standard deviations is 118 from the mean? (B) What is the area under the normal curve between the mean and 118?

Prove that for a given jet speed, volume flow rate, turning angle, and wheel radius, the maximum shaft power produced by a Pelton wheel occurs when the turbine bucket moves at half the jet speed.

A common mirage is formed when the air gets gradually cooler as the height above the ground increases. What might happen if the air grows gradually warmer as the height increases? This often happens over bodies of water or snow-covered ground; the effect is called looming.

Let $l$ be the line with equations $y=\dfrac{4}{3}x-\dfrac{11}{3}, 4x-3y=11$ and $y-3=\dfrac{4}{3}(x-5)$. Which equation for $l$ makes it easiest to see that the point $(5,3)$ is on the line? Explain.

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. If one item is chosen from M items, a second item is chosen from N items, and a third item is chosen from P items, the total number of three-item choices is M+N+P. ____

Use a calculator to find each value of y in degrees rounded to two decimal places. $y = \sin ^ { - 1 } 0.23$

What do we call awareness of our environment and ourselves? a. Selective attention. b. Hypnotism. c. Posthypnotic suggestion. d. Dissociation. e. Consciousness.

If $f(x)=\frac{x+2}{x-1}$ and g(x)=5x+3, find f(2)+g(3).

Hydrogen peroxide, $H_2O_2$, decomposes to produce water and oxygen gas. What is the balanced equation for this reaction? a. $\mathrm { H } _ { 2 } \mathrm { O } _ { 2 } \rightarrow \mathrm { H } _ { 2 } \mathrm { O } + \mathrm { O } _ { 2 }$ b. $2 \mathrm { H } _ { 2 } \mathrm { O } _ { 2 } \rightarrow 2 \mathrm { H } _ { 2 } \mathrm { O } + \mathrm { O } _ { 2 }$ c. $2 \mathrm { H } _ { 2 } \mathrm { O } _ { 2 } \rightarrow \mathrm { H } _ { 2 } \mathrm { O } + 2 \mathrm { O } _ { 2 }$ d. $2 \mathrm { H } _ { 2 } \mathrm { O } _ { 2 } \rightarrow 2 \mathrm { H } _ { 2 } \mathrm { O } + 2 \mathrm { O } _ { 2 }$

Expressions that occur in calculus are given. Factor each expression. Express your answer so that only positive exponents occur. $3\left(x^{2}+4\right)^{4 / 3}+x \cdot 4\left(x^{2}+4\right)^{1 / 3} \cdot 2 x$

At what pressure would a sample of gas occupy 7.86 L if it occupies 3.44 L at 4.11 atm? (Assume constant temperature.)