Use the properties of logarithms to find the exact value of the expression. Do not use a calculator.log2 11 ? log11 8

A. 11
B. 3
C. 8
D. 2


Answer: B

Mathematics

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Find the most general antiderivative.d?

A. cos ? + C B. sin ? + ? + C C. csc ? + cos ? + C D. sin ? + C

Mathematics

Multiply.8x(5x + 10)

A. 5x2 + 80x B. 40x2 + 80x C. 40x2 + 10x D. 120x2

Mathematics

Solve.A faucet is used to add water to a large bottle that already contained some water. After it has been filling for 3 seconds, the gauge on the bottle indicates that it contains 19 ounces of water. After it has been filling for 11 seconds, the gauge indicates the bottle contains 59 ounces of water. Let y be the amount of water in the bottle x seconds after the faucet was turned on. Write a linear equation that relates the amount of water in the bottle,y, to the time x.

A. y = x + 
B. y = 5x + 4
C. y = 5x + 48
D. y = -5x + 34

Mathematics

Solve the problem.Use the formula N = Iekt, where N is the number of items in terms of the initial population I, at time t, and k is the growth constant equal to the percent of growth per unit of time. An artifact is discovered at a certain site. If it has 48% of the carbon-14 it originally contained, what is the approximate age of the artifact? (carbon-14 decays at the rate of 0.0125% annually.)

A. 4160 years B. 2550 years C. 5872 years D. 3840 years

Mathematics