Vocabulary Is $4 b^{2}-26 b+169$ a perfect square trinomial? Explain.

Write parametric equations for the given curve for the given definitions of $x$:

$$y=-4 x+1$$

a. $x=t$ b. $x=\frac{t}{2}$ c. $x=-4 t$

Find the value of n such that the expression is a perfect square trinomial.

$$p^{2}-6 p+n$$

The 2016 U.S. presidential election was unusual in several ways. First, the candidate who won the most electoral votes, Donald Trump, did not win the most popular votes. Second, several minor-party candidates received enough votes to possibly affect the outcome. The official results showed that Hillary Clinton received 48.04% of the popular vote, Donald Trump received 45.95%, Gary Johnson got 3.28%, and Jill Stein won 1.06%. After the election, there was much discussion about the polls, which had indicated that Clinton would win. Suppose you had taken a Simple Random Sample of 1000 voters in an exit poll and asked them for whom they had voted.

In 95% of such polls, your sample proportion of voters for Trump should be between what two values?

The article "Can We Really Walk Straight?" (Amer. J. Phys. Anthropol., 1992: 19-27) reported on an experiment in which each of 20 healthy men was asked to walk as straight as possible to a target $60 {m}$ away at normal speed. Consider the following observations on cadence (number of strides per second):

$$\begin{array}{llllllllll}.95 & .85 & .92 & .95 & .93 & .86 & 1.00 & .92 & .85 & .81\end{array}$$

$$\begin{array}{llllllllll}.78 & .93 & .93 & 1.05 & .93 & 1.06 & 1.06 & .96 & .81 & .96\end{array}$$

Use the methods developed in this chapter to summarize the data; include an interpretation or discussion wherever appropriate.

If n is a perfect number, prove that $\sum_{d \mid n} l / d=2$.

In the following exercise, describe and sketch the graph of the level surface f(x, y, z) = c at the given value of c.

$$f(x, y, z)=x^2-y+z^2, \quad c=2$$

¿Qué hiciste el viernes pasado? ¿Qué hicieron tus amigos?

The below statement corresponds to a numbered sentence in the passage. It contains a blank and is followed by four answer choices. Decide which choice fits best in the blank. The word or phrase that you choose must express roughly the same meaning as the italicized word in the passage. Write the letter of your choice on the answer line.

The glass walls of a gardener's greenhouse capture warmth that would otherwise be $\underline{?}$. _____________ (diffused)

a. preserved b. obscured c. constantly reheated d. widely scattered

Find the indicated matrices using a calculator.

$$A=\begin{bmatrix} 6 & -3 \\ 4 & -5 \end{bmatrix}$$

$$B=\begin{bmatrix} 3 & 12 \\ -9 & -6 \end{bmatrix}$$

$$C=\begin{bmatrix} -1 & 4 & -7 \\ 2 & -6 & 11 \end{bmatrix}$$

$$D=\begin{bmatrix} 7 & 9 & -6 \\ -4 & 0 & 8 \end{bmatrix}$$

$$A - B - 2C$$

Use Schwarz-Christoffel Formula to describe the image of the upper half-plane $y \geq 0$ under the conformal mapping $u^{\prime}=f(z)$ that satisfies the given conditions. Do not try to solve for $f(z)$ $f^{\prime}(z)=(z+1)^{-1 / 3}, f(-1)=0$

Explain the relationship between the vocabulary terms below.

2. hydrosphere, atmosphere

For this exercise, let

$$\begin{array}{ll} \mathbf{A}=\left[\begin{array}{ll} 1 & 2 \\ 4 & 3 \end{array}\right], & \mathbf{B}=\left[\begin{array}{rr} -3 & 5 \\ 2 & -1 \end{array}\right], \\ \mathbf{C}=\left[\begin{array}{rr} 1 & -1 \\ -1 & 1 \end{array}\right], & \mathbf{D}=\left[\begin{array}{ll} 1 & 1 \\ 1 & 1 \end{array}\right], \\ \mathbf{E}=\left[\begin{array}{ll} 1 & 3 \\ 2 & 6 \end{array}\right], & \mathrm{F}=\left[\begin{array}{rr} 3 & 3 \\ -1 & -1 \end{array}\right], \\ \mathbf{0}=\left[\begin{array}{ll} 0 & 0 \\ 0 & 0 \end{array}\right], & \mathrm{I}=\left[\begin{array}{ll} 1 & 0 \\ 0 & 1 \end{array}\right] . \end{array}$$

Find the following. $\\$$$$\mathrm{E}+0$

Find the coordinates of the midpoint of the segment with the given endpoints. $C(-5,3), D(12 ; 8)$