Tollbooth stations on roadways and bridges usually have a piece of wire stuck in the pavement before them that will touch a car as it approaches. Why is this done?

True or False: Among the various sources of capital, U.S. large cap equities have a lower cost of capital than do U.S. small cap equities.

Evaluate without using a calculator or tables.

$$\cos (\arctan 2)$$

Revise the following sentence to unbury the verbs.

The budget committee has not taken action on any projects yet.

Solve the inequality by using tables or graphs.

$$x ^ { 2 } - x + 5 < 11$$

Explain how to use tables on a graphing calculator to answer this question.

Explain how to draw a triangle on the surface of a sphere that has three right angles. Do the legs and hypotenuse of such a right triangle satisfy the condition $a^2+b^2=c^2$. Explain why this is not a violation of the Pythagorean Theorem.

A radio antenna tower is kept perpendicular to the ground by three wires of equal length. The wires touch the ground at three points on a circle whose center is at the base of the tower. The wires touch the ground at A(2, 6), B(-2, -2), and C(-5, 7). a. What are the coordinates of the base of the tower? b. Each unit of the coordinate plane represents 1 ft. What is the diameter of the circle?

How does working capital impact a firm's value?

Southeast Suites operates a regional hotel chain. Each hotel is operated by a manager and an assistant manager/controller. Many of the staff who run the front desk, clean the rooms, and prepare the breakfast buffet to work part-time or have a second job, so employee turnover is high.

Assistant Manager/Controller Terry Dunn asked the new bookkeeper to help prepare the hotel's master budget. The master budget is prepared once a year and is submitted to company headquarters for approval. Once approved, the master budget is used to evaluate the hotel's performance. These performance evaluations affect hotel managers' bonuses and they also affect company decisions on which hotels deserve extra funds for capital improvements.

When the budget was almost complete, Dunn asked the bookkeeper to increase the amounts budgeted for labor and supplies by 15%. When asked why, Dunn responded that hotel manager Clay Murry told her to do this when she began working at the hotel. Murry explained that this budgetary cushion gave him flexibility in running the hotel. For example, because company headquarters tightly control capital improvement funds, Murry can use the extra money budgeted for labor and supplies to replace broken televisions or pay "bonuses" to keep valued employees. Dunn initially accepted this explanation because she had observed similar behavior at the hotel where she worked previously.

Requirements Put yourself in Dunn's position. In deciding how to deal with the situation, answer the following questions:

1. What is the ethical issue?
2. What are the options?
3. What are the possible consequences?
4. What should you do?

Find five sensory images in the poem, and identify the sense to which each image appeals-sight, hearing, touch, taste, or smell.

In triangle ADC, apply the Pythagorean theorem to complete the equation $b^2=$ _______.

Find the truth set for the open sentence using the replacement set {Nevada, Illinois, Massachusetts, Alaska, New York}.

It does not border on or touch an ocean.

Answer each question. For what value(s) of b will the line x+2y=b touch the circle $x^{2}+y^{2}=9$ in only one point?