Your 70-kg friend always thinks he can dominate you in contests of strength because, even though you are a very athletic gymnast, your inertia is 63 kg. This time, while the gym class watches, he has attached a pulley to the ceiling of the gym, passed a rope over it, and tied one end of the rope around his waist. He hands you the other end of the rope, which is not quite long enough to reach the floor, and bets you that you cannot lift him off the ground by pulling on the rope. You realize that gravitational forces will favor your friend if the two of you are hanging on opposite sides of the pulley, but then you recall your amazing arm strength gained from years of work on gymnastic apparatus.

Find a pair of polar coordinates for each pair of rectangular coordinates.

$$( \sqrt { 3 } , - 1 )$$

Replace

$$\circ$$

with <, >, or = to make a true sentence.

$$\frac { 8 } { 9 } \circ 0.888...$$

Write the simplest polynomial function with the given zeros. 1, 1, and 2.

Which is the complete factorization of

$$24 x ^ { 3 } - 12 x ^ { 2 }$$

? (A)

$$6 \left( 4 x ^ { 3 } - 2 x ^ { 2 } \right)$$

, (B)

$$12 \left( 2 x ^ { 3 } - x ^ { 2 } \right)$$

, (C)

$$12 x \left( 2 x ^ { 2 } - x \right)$$

, (D)

$$12 x ^ { 2 } ( 2 x - 1 )$$

DSM-IV defines gender identity disorder as "a strong and persistent cross-gender identification" accompanied by "persistent discomfort" with his or her sex.

$$\begin{array} { l } { \cdot \text { Identify two different psychological theories, and tell how each } } \\ { \text { theory could explain the nature and causes of gender identity } } \\ { \text { disorder. } } \\ { \cdot \text { Evaluate the two explanations. } } \end{array}$$

Few people want to eat discolored french fries. Potatoes are kept refrigerated before being cut for french fries to prevent spoiling and preserve flavor. But immediate processing of cold potatoes causes discoloring due to complex chemical reactions. The potatoes must therefore be brought to room temperature before processing. Researchers want to design an experiment in which tasters will rate the color and flavor of french fries prepared from several groups of potatoes. The potatoes will be freshly picked or stored for a month at room temperature or stored for a month refrigerated. They will then be sliced and cooked either immediately or after an hour at room temperature. The researchers decided to do a follow-up experiment using sweet potatoes as well as regular potatoes. Describe how they should change the design of the experiment to account for the addition of sweet potatoes.

Solve each system of inequalities by graphing.

$$\left. \begin{array} { l } { 6 x ^ { 2 } + 9 ( y - 2 ) ^ { 2 } \leq 36 } \\ { x ^ { 2 } + ( y + 3 ) ^ { 2 } \leq 25 } \end{array} \right.$$

What is the formula for the surface area of a right circular cylinder, $S=2 \pi r h+2 \pi r^{2},$ solved for h? $A. h=\frac{S}{4 \pi r}\ B. h=\frac{s}{2 \pi r^{2}}\ C. h=\frac{S}{2 \pi r}-r\ D. h=r-\frac{S}{2 \pi r}$

Find the area under the curve y=f(x) over the stated interval.

$$f ( x ) = \frac { 1 } { x } ; [ 1,5 ]$$

A traffic counter recorded the number of vehicles heading north through an intersection for a seven-day period. The following counts were recorded for the seven days.

$$86,182,205,214,208,190,126$$

Are most of the counts closer to the median or mean? Why?

Use a graphing utility to graph the function. Find the domain and range of the function. $f(x)=\sqrt{16-x^{2}}$

Graph and compare the two functions.

$$f ( x ) = | x - 1 | + 2 ; g ( x ) = 4 | x - 1 | + 8$$

Identify the following term or individuals and explain their significance. Theodore Roosevelt