Art Javier is tracing a circular pattern for an art project. He places the two endpoints of a diameter at (3,4) and (9,12). What is the equation of the circle Javier traces out?

Translate each sentence into an algebraic equation. a) One fifth of a number, decreased by 17, is 41. b) Twice a number, subtracted from five, is three more than seven times the number. c) When tickets to a play cost $5 each, the revenue at the box office is$825. d) The sum of the length and width of a backyard pool is 96 m.

Abby, Deborah, Julie, Sam, and Roberto work in a firm's public relations office. Their employer must choose two of them to attend a conference in Paris. To avoid unfairness, the choice will be made by drawing two names from a hat. (This is an SRS of size 2.) The random drawing makes all choices equally likely. What is the probability of each choice?

For $390,000, Bella Leipsen can buy an office building and lot that rents for$2,600 a month . Taxes, insurance, and repair expenses average $19,500 annually. Depreciation is estimated at$6,000 a year. Bella plans to pay $78,000 cash as a down payment. To the nearest tenth of a percent, find the rate of income she will make on her cash investment.

Some workers use technology such as smart phones, e-mail, and computers to work at home rather than in the office. The table lists telecommuters in millions from 2001 to 2006 .

Find values for a and b so that $f(x)=a+b \ln x$ models the data, where x=1 corresponds to 2001, x=2 to 2002 , and so on.

Structural unemployment is sometimes said to result from a mismatch between the job skills that employers want and the job skills that workers have. To explore this idea, consider an economy with two industries: auto manufacturing and aircraft manufacturing.

Suppose that workers in one industry cannot be quickly retrained for the other. How would these shifts in demand affect equilibrium wages both in the short run and in the long run?

The college admissions office at a local university usually admits 750 students and knows from previous experience that $25 \%$ of these students choose not to enroll at the university.

a. Construct the centerline and the upper and lower control limits for the $\bar{p}$ chart.

b. Assume that this year the university admits 750 students and 240 choose not to enroll at the university. Should the university be concerned? Explain.

How did the abolitionist and women's rights movements highlight the limits of American democracy?

Use the skills covered in the Brief Review to evaluate or simplify the following expressions.

$$16^{1 / 2}$$

Researchers have hypothesized that rapid leaf movements in Mimosa serve as a defense mechanism. Propose an experiment to test this hypothesis.

A department of an accounting firm has five offices. The average costs of each office are: salaries, $\$ 2,150$ a month; benefits, $28\%$ of wages; space, $120$ square feet $@ \$ 31.50$ per square foot per year; supplies, $\$ 325$ per year; other costs, $\$ 1,830$ per year. What is the total yearly cost of the five offices?

Use any or all of the methods described in this section to solve the below problem.

In a game of musical chairs, $12$ children will sit in $11$ chairs. (1 will be left out.) How many seatings are possible?

Read the descriptions and then match them to the following words: (a) olanzapine, (b) extrapyramidal symptoms, (c) serotonin, (d) dopamine, (e) metabolites, (f) token economy, (g) vocational rehabilitation, (h) social skills training, (i) family intervention. Aside from social skills training, two psychosocial treatments for schizophrenia, ___________ (teaching family members to be supportive) and ___________ (teaching meaningful jobs), may be helpful.

The following transactions occur for the Panther Detective Agency during the month of July: a. Purchase a truck and sign a note payable, $15,000. b. Purchase office supplies for cash,$600. c. Pay $800 in rent for the current month. Record the transactions. The company uses the following accounts: Cash, Supplies, Equipment (for the truck), Notes Payable, and Rent Expense.