How do you think the family's attitude toward the "mirror people" changes during the course of the story? Explain.

Complete each statement using a word(s) from the vocabulary list. _________is a measure of the average kinetic energy of the particles in a material.

$$\begin{matrix} \text{conduction} & \text{radiation}\\ \text{convection} & \text{second law of thermodynamics}\\ \text{first law of thermodynamics} & \text{solar collector}\\ \text{heat} & \text{specific heat}\\ \text{heat engine} & \text{temperature}\\ \text{insulator} & \text{thermal energy}\\ \text{internal combustion engine} & \text{thermodynamics}\\ \end{matrix}$$

Starting with methyl acetate, what neutral nucleophile would you use to synthesize each of the following compounds? a. ethyl acetate, b. acetamide, c. phenyl acetate, d. benzyl acetate

Consider a lifeguard at a circular pool with diameter 40 m. He must reach someone who is drowning on the exact opposite side of the pool, at position C. The lifeguard swims with a speed v and runs around the pool at speed $w=3v$. Find at what angle θ the lifeguard should swim to reach the drowning person in the least amount of time.

If $\frac{x}{3}+\frac{5}{6}$ is multiplied by 6 the result is 2x + 5. Is $\frac{x}{3}+\frac{5}{6}$ equivalent to 2x + 5?

Each expression simplifies to a constant, a single function, or a power of a function. Use fundamental identities to simplify each expression. $\tan \theta \cos \theta$

Multiply. (x - 4)(x + 8)

Simplify. Assume that all variables represent positive real numbers. $5 \sqrt[4]{32}+3 \sqrt[4]{162}$

A person sees a lightning bolt pass close to an airplane that is flying in the distance. The person hears thunder 5.0 s after seeing the bolt and sees the airplane overhead 10 s after hearing the thunder. The speed of sound in air is 1 100 ft/s. Find the distance of the airplane from the person at the instant of the bolt. (Neglect the time it takes the light to travel from the bolt to the eye.)

Correct the sentences below by replacing the italicized term with the correct vocabulary term. $\mathit{Discussion}$ involves bringing in a neutral third party to help resolve conflicts.

Why might some analysts say that logic would indicate that Venezuela is the richest country in South America instead of Argentina?

Solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. $3 x+4>\frac{1}{3}(x-2)$

Find the general solution of the homogeneous linear system in using the vector-matrix methods, where

$$\mathbf{x}=\left( \begin{array}{c}{x_{1}} \\ {x_{2}}\end{array}\right)$$

.

$$\mathbf{x}^{\prime}=\left( \begin{array}{rr}{7} & {-1} \\ {4} & {3}\end{array}\right) \mathbf{x}$$

Use a derivative to evaluate each limit. (a)

$$\lim _ { h \rightarrow 0 } \frac { \sin \left( \frac { \pi } { 2 } + h \right) - 1 } { h }$$

, (b)

$$\lim _ { h \rightarrow 0 } \frac { \csc ( x + h ) - \csc x } { h }$$