Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log5

A. log511x
B. log5 + log5
C. log511 + log5x
D. log511 + log5x


Answer: D

Mathematics

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Rationalize the denominator. Assume all variables have nonzero values.

A. 4y
B.
C. 4
D.

Mathematics

Solve.A company has 63,000 employees. Of these,  drive alone to work,  car pool,  use public transportation,  cycle, and the remainder use other methods of transportation. How many employees use each method of transportation?

A. Drive alone: 2,100; car pool: 10,500; public transportation: 9,000; cycle: 7,000; 
B. Drive alone: 21,000; car pool: 10,500; public transportation: 9,000; cycle: 7,000; 
C. Drive alone: 21,100; car pool: 10,500; public transportation: 8,900; cycle: 7,000; other: 1000
D. Drive alone: 21,000; car pool: 10,500; public transportation: 9,000; cycle: 7,000; 

Mathematics

Find the horizontal asymptote(s), if any, of the graph of the rational function.g(x) = 

A. y = 5 B. y = 0 C. y = -4 D. no horizontal asymptote

Mathematics

Determine the area of a triangle having the following measurements. Round your answer to two decimal places.



A) 76.18 sq. units
B) 114.27 sq. units
C) 95.23 sq. units
D) 104.75 sq. units
E) 85.70 sq. units

Mathematics