Study the entries and answer the question that follows.

The root cant means "sing."

The root clam means "shout."

The prefix in-means "in," "on," or "onto."

The prefix re- means "back."

The prefix ad- means "toward."

The prefix de- means "down from."

The suffix-ment means "result of."

If ex-means "out," then the word means "to shout out suddenly."

A piston $/$ cylinder has $15\ \mathrm{ft}$ of liquid $70 \mathrm{~F}$ water on top of the piston $(m=0)$ with a cross-sectional area of $1\ \mathrm{ft}^2$. Air let in under the piston rises and pushes the water out over the top edge. Determine the work needed to push all the water out and plot the process in a $P-V$ diagram.

Factor each perfect square trinomial. It may be necessary to factor out a common factor first.

$$32 x^2-48 x+18$$

a) Find a recurrence relation for the number of ways to lay out a walkway with slate tiles if the tiles are red, green, or gray, so that no two red tiles are adjacent and tiles of the same color are considered indistinguishable. b) What are the initial conditions for the recurrence relation in part (a)? c) How many ways are there to lay out a path of seven tiles as described in part (a)?

A television advertisement shows a lawyer in a bathing suit coming out of a lake. He says, "If you're in over your head because of bad debts, let us bail you out. We're the best firm in the state." Should there be any restrictions on ads like this? If so, what? Should there be other restrictions on ads? If so, what should they be?

Zoom out sufficiently far so that the graph appears as a line. What equation does this line appear to have? (Note that the points at which the function is not continuous are not readily seen when you zoom out.)
$f(x)=-\dfrac{x^3-2 x^2+2}{2 x^2}$

$$g(x)=-\dfrac{1}{2} x+1-\dfrac{1}{x^2}$$

After a collision with a power pole, you are trapped in your car, with a high-voltage line (with frayed insulation) in contact with the hood of the car. If you must get out before help arrives, is it safer to step out of the car one foot at a time or to jump with both feet leaving the car at the same time? Explain your reasoning.

Factor each perfect square trinomial. It may be necessary to factor out a common factor first.

$$9 x^2-12 x+4$$

In paragraphs 24-27, the second woman rips the embroidered man completely out of her embroidery because -

A. she did not want the other women to be jealous of her fine stitching B. she was angry and afraid C. she knew she could do better D. she was not paying attention and tore too much of the man out

On the lines provided, write each italicized modifier in the form described in parentheses. Jerome turned out to be --- the archer in the class. (accurate, superlative)

Mark each of the following events as independent or dependent. A woman accidentally throw 4 used batteries in with her 12 new batteries. She pulls out a battery, plugs it into her remote, and realizes it was one of the used ones. She throws it away and pulls out another battery. What is the probability this one will also be a used one?

Read each sentence and decide if the underlined number should be spelled out. If it should, write the spelled-out form above it. If the number is already correct, write $C$ above it.

Example 1. $\underline{152}$ (One hundred fifty-two) students auditioned for the marching band.

Mai needs to be at the auditorium by $\underline{6:00}$ P.M. for rehearsal.

Use the key terms to complete the following sentence:

A demand deposit called a(n) __________ may have restrictions and/or penalties for taking out money.

Consider a bivariate normal distribution with $\mu 1=1, \mu 2=3, \sigma 11=2, \sigma 22=1$ and $\rho 12=-.8$. (a) Write out the bivariate normal density. (b) Write out the squared statistical distance expression $(x-\mu)^{\prime} \Sigma-1(x-\mu)$ as a quadratic function of $x_{1}$ and $x_{2}$.