Solve the problem.In an economics study, three quantities m, p, and q have been found to be related by the equation m = p1/2 ? q1/2. Find m, if p = 36 and q = 4.

A. 8
B. 12
C. 24
D. 144


Answer: B

Mathematics

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Solve using the substitution method. Use a graphing calculator to check your answer.   x + 7y = 163x + 21y = 48

A. (0, 0) B. (3, 3) C. No solution D. Infinitely many solutions

Mathematics

Use the quotient rule to simplify the radical.

A.
B.
C.
D.

Mathematics

Find the center (h, k) and radius r of the circle with the given equation. x2 + y2 - 16x - 10y = -25

A. (h, k) = (8, 5); r = 8 B. (h, k) = (-5, -8); r = 64 C. (h, k) = (-8, -5); r = 64 D. (h, k) = (5, 8); r = 8

Mathematics

Write an equation that expresses the relationship. Use k as the constant of variation.The intensity I of light varies inversely as the square of the distance D from the source. If the intensity of illumination on a screen 36 ft from a light is 3.9 foot-candles, find the intensity on a screen 90 ft from the light.

A. 9.75 foot-candles B. 24.38 foot-candles C. 1.56 foot-candles D. 0.624 foot-candles

Mathematics