Define F: R × R ? R × R as follows: F(x, y) = (3y ? 1, 1 ? x) for all (x, y) in R × R.




Mathematics

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Solve the problem.During a department store sale, 30 shoppers bought only clothing, 5 shoppers bought only towels, and 15 shoppers bought both clothing and towels. If 100 people shopped that day and a shopper is chosen at random, what is the probability that the shopper has bought towels?

A.
B.
C.
D.

Mathematics

An observer for a radar station is located at the origin of a coordinate system. For the point given, find the bearing of an airplane located at that point. Express the bearing using both methods.(9, 0)

A. 270°; N 90° E or S 90° E B. 270°; N 90° W or S 90° W C. 90°; N 90° E or S 90° E D. 90°; N 90° W or S 90° W

Mathematics

Simplify. Write your answers in the form of a+bi, where a and b are real numbers.(2 + 3i)(5 - 7i)

A. -11 + 29i B. 31 + 1i C. -21i2 + 1i + 10 D. 31 - 1i

Mathematics

Solve the problem. Use 3.14 for ?.The striking circle in field hockey is a semicircle with a radius of 16.4 yd. Find the area of the semicircle.

A. 102.992 yd2  B. 422.2672 yd2  C. 844.5344 yd2 D. 3378.1376 yd2 

Mathematics