Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.3ln (x - 6) - 10 ln x

A. ln 30x(x - 6)
B. ln 
C. ln x10(x - 6)3
D. ln 


Answer: D

Mathematics

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Provide an appropriate response.Which of the following expressions is a left-hand limit.I. f(x)II. f(x)III. f(x)

A. II only B. III only C. I only D. II and III only

Mathematics

Write the first n terms of the given arithmetic sequence (the value of n is indicated in the question).a1 = 1, d = 5, n = 6

A. 0, 1, 6, 11, 16, 21 B. 1, 5, 9, 13, 17, 21 C. 1, 6, 11, 16, 21, 27 D. 1, 6, 11, 16, 21, 26

Mathematics

Solve the problem.In a certain state, it is determined that 87% of all registered Republicans vote for Republican candidates, with the remainder voting for Democratic candidates. It is also determined that 84% of all registered Democrats vote for Democratic candidates, with the remainder voting for Republican candidates. The percent of voters predicted to vote for each party in the next election is given by  =  where x is the percent of registered Republicans and y is

the percent of registered Democrats. If  and , what percent of voters are predicted to vote for Democratic candidates in the next election? Round your answer to the nearest percent.

A. 54%
B. 84%
C. 87%
D. 46%

Mathematics

For the given parabola, give the coordinates of the vertex, the axis, the domain, and the range.y = x2 - 4x + 7

A. vertex: (3, 2); axis: y = 3; domain: [2, ?); range: (-?, ?) B. vertex: (2, 3); axis: x = 2; domain: (-?, ?); range: [3, ?) C. vertex: (-2, 3); axis: x = -2; domain: (-?, ?); range: [3, ?) D. vertex: (3, -2); axis: y = 3; domain: [-2, ?); range: (-?, ?)

Mathematics