Suppose that ln 2 = a and ln 5 = b. Use properties of logarithms to write each logarithm in terms of a and b.ln 10

A. ab
B. a - b
C. ln a + ln b
D. a + b


Answer: D

Mathematics

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Provide an appropriate response.Find the radius of a circle whose circumference is 90 in. (round to nearest tenth).

Fill in the blank(s) with the appropriate word(s).

Mathematics

Solve the problem.Suppose the tip of the minute hand of a clock is 5 in. from the center of the clock. Determine the distance traveled by the tip of the minute hand in  hours. Give an exact answer.

A. 30? in. B. 15? in. C. 35? in. D. 20? in.

Mathematics

Solve the quadratic equation by completing the square.a2 + 10a + 24 = 0

A. ±
B. 4, 6
C. -4, -6
D. 30, -6

Mathematics

Determine if each ordered pair is a solution to the given system of inequalities in two variables.y = x + 4y2 = 16x(i) (4, 8); (ii) (-4, 0)

A. (i) Yes; (ii) No B. (i) No; (ii) No C. (i) No; (ii) Yes D. (i) Yes; (ii) Yes

Mathematics