Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log4(16x)

A. 2log4x
B. 2x
C. 8 + log4x
D. 2 + log4x


Answer: D

Mathematics

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A right triangle with acute angle ? is given. Evaluate the indicated trigonometric function of the acute angle ?.Find sin ?.

A.
B.
C.
D.

Mathematics

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given. Round to the nearest hundredth where necessary.C = 2?r; C = 37.68, ? = 3.14

A. 40.82 B. 236.63 C. 6 D. 12

Mathematics

Find a formula for the inverse of the function described below.32° Fahrenheit = 0° Celsius. A function that converts temperatures in Celsius to those in Fahrenheit is   .

A. f-1(x) = x + 32
B. f-1(x) = x + 32
C. f-1(x) = (x - 32)
D. f-1(x) = (x + 32)

Mathematics

Sales of computers are subject to seasonal fluctuations. Computer City's sales of computers in 1995 and 1996 can be approximated by the function

?

?
where ?t is time in quarters ( represents the end of the first quarter of 1995) and  is computer sales (quarterly revenue) in billions of dollars. Estimate Computer City's maximum and minimum quarterly revenue from computer sales.
?
Maximum sales __________ billions of dollars
?
Minimum sales __________ billions of dollars

What will be an ideal response?

Mathematics