Find the product. Write your answer using exponents. (0.5) • (0.5)²

Determine whether the statement is true or false. Justify your answer. The equation $\sin ^{2} \theta+\cos ^{2} \theta=1+\tan ^{2} \theta$ is an identity, because $\sin ^{2}(0)+\cos ^{2}(0)=1$ and $1+\tan ^{2}(0)=1$

Solve the equation. x + 3.6 = -10.8

Write each number in scientific notation. 7,045,000,000

Solve each equation by completing the square. x² + 22x = -39

Find a quotient of two numbers that are written in scientific notation.

$$5.4 × 10 /1.2 × 10^7$$

A sofa is 8 feet long. In a scale drawing, the sofa is 3 inches long. Find the scale of the drawing.

Copy and complete the statement using <, >, or =.

$$6^5 — 6^2 • 6^2$$

Fill in the blanks. A collection of points satisfying a geometric property can also be referred to as a ________ of points.

Complete the table.

$$\begin{matrix} \text{Substance} & \text{Definition} & \text{Example(s)}\\ \text{ } & \text{Physical combination of two or more substances} & \text{Cinnamon sugar}\\ \text{Solute} & \text{ } & \text{Salt in saltwater}\\ \text{ }\\ \text{ } & \text{Mixture of water and nondissolved substance} & \text{Blood}\\ \text{Solution}\\ \end{matrix}$$

Alana was working with dilations. She wondered, "What would happen if I multiplied each coordinate of a shape by 1/3?" Graph and connect the points below to form her dilated shape. Be sure to connect them in the order given. A (-1, -1) B (-1, 1) C (1, 2) D (2, -1) a. Alana graphed this shape by multiplying each of her original coordinates by 1/3. What do you think Alana's shape looked like before the dilation? Make a prediction. b. On the same graph, undo the dilation to show Alana's original shape. List the coordinates of the vertices of Alana's original shape. c. What did you do to each coordinate to undo the dilation? How did the shape change? d. Why do you think the shape changed in this way?

Zeke ran 4 miles in 45 minutes. If he keeps running at the same pace, how long will it take him to run 10 miles? What is his unit rate in miles per hour?

(a) sketch the curve represented by the parametric equations (indicate the orientation of the curve). Use a graphing utility to confirm your result. (b) Eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve. Adjust the domain of the resulting rectangular equation, if necessary. $x=\sqrt{t}, y=1-t$

The times from a 100 meter race in seconds were: 12.5, 13.1, 11.9, 12.4, 12.7, 13.1, 12.6, and 12.2. What measure of center best represents the data? Explain.