The following table shows the results of a survey of authors by a fictitious publishing company.
New AuthorsEstablished AuthorsTotalSuccessful22527Unsuccessful145670Total168197?
Consider the following subsets of the set S of all authors represented in the table: C, the set of successful authors; U, the set of unsuccessful authors; N, the set of new authors; and E, the set of established authors. Find the number of elements that set contains.Use the table to compute
.
?
A. 43
B. 25
C. 45
D. 14
E. 41
Answer: E
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Solve the problem.An experiment in a wind tunnel generates cyclic waves. The following data is collected for 60 seconds: Let V represent the wind speed (velocity) in feet per second and let t represent the time in seconds. Write a sine equation that describes the wave.
A. V = 42 sin (60t - 30) + 21
B. V = 58 sin(60t - 30) + 16
C. V = 21 sin + 37
D. V = 58 sin + 16
Solve the problem.Midtown Antiques has found that sales have decreased 6% from last year. Sales this year are $141,518. Find the amount of last year's sales. Round your answer to the nearest dollar.
A. $150,551 B. $151,551 C. $150,541 D. $150,451
Factor.216y3 - 343
A. (6y - 7)(36y2 + 42y + 49) B. (216y - 7)(y2 + 42y + 49) C. (6y - 7)(36y2 + 49) D. (6y + 7)(36y2 - 42y + 49)
Solve the problem.Find the sum of the first 953 natural numbers.
A. 453,628 B. 908,209 C. 909,162 D. 454,581