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$

Completing each sentence with a word or phrase.

The ability to adapt to change and stressful events in healthy and flexible ways is known as ______________.

A transformation T: $V_n + V_n$ is described as, T rotates every point through the same angle $\phi$ about the origin. That is, T maps a point with polar coordinates (r, 0) onto the point with polar coordinates $(r, \theta+\phi)$, where $\phi$ is fixed. Also, Tmaps 0 onto itself. Determine whether T is linear. If T is linear, describe its null space and range, and compute its nullity and rank.

Lee las oraciones y decide si Carla habla a) del pasado o. b) del presente. A mí me gusta la sal y se la echo a todo.

Solve each problem by graphing. A builder constructs a skateboard ramp with a slope of $\frac{1}{8}$. Find the length of a ramp that increases 5 ft in height.

Solve the problem graphically to two decimal places using a graphing calculator. $1.9 x^2-1.5 x-5.6<0$

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

The distribution of speeds for two samples of $\mathrm{N}_2$ gas. One sample is at 300 K, and the other is at 1000 K. Which is which?

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?

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

Indicate whether each statement is true or false, and justify your answer. Be sure to state any additional assumptions you may need.

In the 1970s, researchers were worried that, while Americans were living longer than previous generations, they were actually less healthy during old age than before. This phenomenon is known as the “compression of morbidity.”

How did the Reign of Terror come to an end?

Compute the products $A$ $B$ and $B$ $A$, if possible, for the following:

(a) $A$

$$=\left(\begin{array}{rr}0 & -2 \\ 3 & 1\end{array}\right), B$$

$$=\left(\begin{array}{rr}-1 & 4 \\ 1 & 5\end{array}\right)$$

(b) $A$

$$=\left(\begin{array}{rrr}8 & 3 & -2 \\ 1 & 0 & 4\end{array}\right), B$$

$$=\left(\begin{array}{rr}2 & -2 \\ 4 & 3 \\ 1 & -5\end{array}\right)$$

(c) $A$

$$=\left(\begin{array}{r}0 \\ -2 \\ 4\end{array}\right), B$$

$$=\left(\begin{array}{lll}0, & -2, & 3\end{array}\right)$$

(d) $A$

$$=\left(\begin{array}{rr}-1 & 0 \\ 2 & 4\end{array}\right), \quad B$$

$$=\left(\begin{array}{rr}3 & 1 \\ -1 & 1 \\ 0 & 2\end{array}\right)$$

Write an equation of the line described.

The perpendicular bisector of the segment joining (2,4) and (4,-4)