Refer to Exercise 20.25. Forecast next year’s enrollment using the following methods. Autoregressive forecasting model.

Use

$$\log _ { 5 } 3 \approx 0.6826 \text { and } \log _ { 5 } 4 \approx 0.8614$$

to approximate the value of each expression.

$$\log _ { 5 } \frac { 3 } { 4 }$$

Choose the best answer to the following. Explain your reasoning with one or more complete sentences.
Measurements of how orbital speeds depend on distance from the center of our galaxy tell us that stars in the outskirts of the galaxy
(a) orbit the galactic center just as fast as stars closer to the center.
(b) rotate rapidly on their axes.
(c) travel in straight, flat lines rather than elliptical orbits.

Complete the ratio table below to show ratios equivalent to 4:18.

$$\begin{matrix} \text{48} & \text{160} & \text{ } & \text{8} & \text{ }\\ \text{ } & \text{ } & \text{20} & \text{ } & \text{90}\\ \end{matrix}$$

Solve for the indicated variable. P = a + b + c; b

Write an editorial in which you make the case for or against the concept of nullification. Support your argument with examples from the section.

Describe a natural concept that you know fully but that would be difficult for someone else to understand and explain why it would be difficult.

Use reference angles to evaluate the expression.

If $\cos t=\frac{1}{2}$, what is the $\cos (-t)$?

Evaluate exactly all six trigonometric functions of the angle. Use reference triangles and not your calculator.

$$420°$$

As a reporter in 1787, write an article describing the goals and structure of the newly created U.S. Constitution.

Two dice are thrown. Let E be the event that the sum of the dice is odd, let F be the event that the first die lands on 1, and let G be the event that the sum is 5. Describe the events $EF, E \cup F, FG, EF^c , EFG.$

Calculate the molar mass of xenon trioxide.

Solve for the variable indicated. A=½bh for b

A real number t is given. Find the reference number for t. $t=\frac{5 \pi}{3}$