Irene is buying new carpet for her rectangular family room. The room is 15 ft wide and 24 ft long. The carpeting is sold only in square meters. How many square meters of carpeting will she need? Round your answer to the nearest tenth of a square meter.

Make an appropriate u-substitution, and then use the Endpaper Integral Table to evaluate the integral.

$$\int \cos \sqrt { x } d x$$

What does correlation tell you about the relationship between two variables?

Write the negation of each statement. The lunch was served at noon.

If $\mathbf{F}(x, y)=P(x, y) \mathbf{i}+Q(x, y) \mathbf{j}$ is a vector field in a domain D with div F = 0 and curl F = 0, then the complex function $g(z)=P(x, y)+i Q(x, y)$ is analytic in D. _____

Find the exact value of each expression.

$$\sin \frac { 3 \pi } { 8 }$$

Complete the square and factor the resulting perfect square trinomial.

$$x ^ { 2 } + 24 x$$

Whitney deposits $9,000 for two years. She compares two different banks. State Bank will pay her 4.1% interest, compounded monthly. Kings Savings will pay her 4.01% interest, compounded continuously. How much interest does State Bank pay?

A humor piece published in the British Medical Journal ("Parachute use to prevent death and major trauma related to gravitational challenge: systematic review of randomized control trials," Gordon, Smith, and Pell, BMJ, 2003:327) notes that we can't tell for sure whether parachutes are safe and effective because there has never been a properly randomized, double-blind, placebo-controlled study of parachute effectiveness in skydiving. (Yes, this is the sort of thing statisticians find funny . ... ) Suppose you were designing such a study: How would you randomize this "experiment"? How would you make the experiment double-blind?

A jersey is on sale for 50% off the original price. A week later, the manager takes another 50% off.

A rectangular fish tank is 1 yd long by 1.5 ft high by 15 in. wide. (a) Determine the volume of water in the fish tank in cubic feet. (b) Determine the weight of the water in pounds. One cubic foot of water eight about 62.5 lb. (c) If 1 gal of water weighs about 8.3 lb, how many gallons will the tank hold?

Suppose that f is a continuous additive function on

$$\mathbb{R}.$$

If c := f (1), show that we have f(x) = cx for all

$$x \in \mathbb{R}.$$

An office employs six customer service repres entatives. Each day, two of them are randomly selected and their customer interactions are monitored for the purposes of improving customer relations. In how many ways can the repres entatives be chosen?

Suppose that a student has 500 vocabulary words to learn. If the student learns 15 words after 5 minutes, the function $L(t) = 500(1 - e^{-0.0061t})$ approximates the number of words L that the student will learn after t minutes. How many words will the student learn after 60 minutes?