Suppose that ln 2 = a and ln 5 = b. Use properties of logarithms to write each logarithm in terms of a and b.ln 20

A. 4b
B. a + b
C. 2a + b
D. 2a + 2b


Answer: C

Mathematics

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Simplify the expression.

A. -3
B. - 
C. 43
D. 3

Mathematics

Solve the problem.The force acting on a pendulum to bring it to its perpendicular resting point is called the restoring force. The restoring force F, in Newtons, acting on a string pendulum is given by the formula F = mg sin?where m is the mass in kilograms of the pendulum's bob, g ? 9.8 meters per second per second is the acceleration due to gravity, and ? is angle at which the pendulum is displaced from the perpendicular. What is the value of the restoring force when m = 0.8 kilogram and ? = 30°? If necessary, round the answer to the nearest tenth of a Newton.

A. 3.8 N B. 3.9 N C. 6.8 N D. 7.7 N

Mathematics

Find the product and simplify. ? 

A.
B.
C.
D.

Mathematics

Write the ratio in lowest terms in order to decide whether the proportion is true or false. = 

A. True B. False

Mathematics