Use the Write an Equation strategy to solve each problem. The perimeter of a rectangle is 64 cm. The length is 4 cm less than twice the width. Find the length and width.

Explain how you can use the strategy guess, check, and revise to solve problems that involve a given area when the relationship between the side lengths is given too.

Find the p-value for the following large-sample z tests: a. A right-tailed test with observed z=1.15 b. A two-tailed test with observed z=-2.78 c. A left-tailed test with observed z=-1.81

Summarize the law of reflection by completing the sentence below. The angle of ____ is equal to ____.

What is your working hypothesis at this stage based on the various diagnoses that could manifest with leg pain and paresthesia, and what tests you would use to rule out each one?

a. Find the slant asymptote of the graph of each rational function and b. Follow the seven-step strategy and use the slant asymptote to graph each rational function.

$$f ( x ) = \frac { x ^ { 2 } - 1 } { x }$$

a. Find the slant asymptote of the graph of each rational function and b. Follow the seven-step strategy and use the slant asymptote to graph each rational function.

$$f ( x ) = \frac { x ^ { 2 } - 4 } { x }$$

A firm will produce and sell units of a good if marginal revenue is greater than marginal cost. Does this strategy have anything to do with the firm's objective to maximize profit? Explain.

Bone and bony structures contain calcium and phosphorus. During nuclear tests, scientists were concerned that strontium-85, a radioactive product, would be harmful to the growth of bone in children. Explain.

Find the (a) down payment and (b) amount financed. $$ \scriptstyle\begin{array}{|c|c|cc|c|c|} \hline \text{Item} & \text{Cash} & \text{Down} & \text{Payment} & \text{Down Payment} & \text{Amount} \\ \text{} & \text{Price} & \text{(Cash)} & \text{(Percent)} & \text{(in Dollars)} & \text{Financed} \\ \hline\text{Dining Room Set} & \text{\$ 3,600} & \text{-} & \text{40\\%} & \text{a. \$} & \text{b. \$} \\ \hline \end{array} $$

Which two cases can be solved using the Law of Sines?

Determine the retail price of an item that cost the business $89 and has a markup of$50.

On a distant asteroid, a large catapult is used to throw chunks of stone into space. Could such a device be used as a propulsion system to move the asteroid closer to the earth? Explain.

In what order should the three inventories of a manufacturing business be presented on the balance sheet?