For the given angle of rotation and coordinates of a point in the x'y'-coordinate system, find the coordinates of the point in the xy-coordinate system.? = 45°, (, 3)

A. (2, -4)
B. (-2, 4)
C. (4, -2)
D. (-2, 4)


Answer: D

Mathematics

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Sketch D and g(D) from the description of D and change of variables u = xy, v =  where D is the rectangle 1 ? u ? 4,  ? v ? 2?

A.

?

B.
?

C.
?

D.
?

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Determine the principal value without using a calculator.2

A. -8 B. -8 or 8 C. 8 D. Not real number

Mathematics

Use the general multiplication rule to find the indicated probability.A sample of 4 different calculators is randomly selected from a group containing 50 that are defective and 24 that have no defects. What is the probability that all four of the calculators selected are defective?

A. 0.0531 B. 0.2002 C. 0.2084 D. 21.6733

Mathematics

Solve the inequality, then graph the solution.7n - 10 > 6n - 9

A. (1, ?)

B. (-19, ?)

C. (-?, -19)

D. (-?, 1)

Mathematics