Write the equality and two conversion factors, and identify the numbers as exact or give the number of significant figures for each of the following: Silicon makes up $28.2 \%$ by mass of Earth's crust.

Determine the angle of least positive measure that is coterminal with the given angle.

$$792^{\circ}$$

Compare the electric dipole moments of charges $\pm Q$ separated by a distance $d$ and charges $\pm Q / 2$ separated by a distance $d / 2$.

Is the sum of two integers positive, negative, or zero? How can you tell?

Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n=6 professional baseball players gave the following information.

$$\begin{array}{|l|llllll|} \hline x & 0.328 & 0.290 & 0.340 & 0.248 & 0.367 & 0.269 \\ \hline y & 3.2 & 7.6 & 4.0 & 8.6 & 3.1 & 11.1 \\ \hline \end{array}$$

Use a 5% level of significance to test the claim that $\beta \neq 0$.

A peg is constrained to move in a rectilinear guide and is given the following acceleration: $a = a_0 sin \omega t,$ where $a_0 = 20ft/s^2, \omega = 250rad/s,$ and t is time expressed in seconds. If x = 0 and v = 0 for t = 0, determine the position of the peg at t = 4 s.

Convert 40 kilometers per hour to miles per minute.

As a new staff member for Air France, you have been assigned to guide a group of French children to their plane to the U.S. Give them commands according to the Mod$\`e$le.

MOD$\`E$LE

Prendre/vos billets Prenez vos billets!

Aller/$\`a$ la porte d'embarquement

Perform each of the following conversions, being sure to set up clearly the appropriate conversion factor in each case.

e.$~~1.445 \times 10^4 \mathrm{~m}$ to kilometers

Decide which foods have less than $30\%$ of their calories from fat.

$$\begin{aligned} \begin{array}{lccc} &&& \textbf{Serving } & \textbf{Total Calories} & \textbf{Grams of Fat}\\ \textbf{Food} &&& \textbf{Size} & \textbf{per Serving} & \textbf{per Serving}\\ \text{Rigatoni (uncooked)} &&& 1\ \text{oz} & 110 & <1\ \text{g} \end{array} \end{aligned}$$

According to Major League Baseball, or MLB, regulations, baseballs must have a 9-inch circumference. According to the National Softball Association's (NSA) guidelines, softballs must have a circumference that is no larger than 12 inches. a. Find the ratio of the circumference of an MLB baseball to the circumference of a 12-inch NSA softball. b. Calculate the volume of an MLB baseball in relation to an NSA softball. Answers should be rounded to the nearest tenth.

(a) show that the function is homogeneous and determine n, and (b) show that $x f_{x}(x, y)+y f_{y}(x, y)=n f(x, y)$. $f(x, y)=x \cos \frac{x+y}{y}$

Patricia has just moved here , and her new friend David wants to know more about her. Fill in the blanks of their conversation using forms of ¿CUanto? and mucho.

PATRICIA: Me gusta el colegio. Tengo siete clases y hay (3) tarea.

Use the angle-conversion capabilities of a graphing utility to convert the angle measure to $\mathbf{D}^{\circ} \mathbf{M}^{\prime} \mathbf{S}^{\prime \prime}$ form. $-20.34^{\circ}$