Use the laws of logarithms to expand the expression.


Mathematics

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Solve the problem. Round to the nearest tenth of a percent unless otherwise noted. The graph below shows the number of internet host sites for five consecutive years. Find the percent increase in host sites from 2009 to 2010. Round to the nearest percent.20082009201020112012Year

A. 67% B. 0.6700% C. 1.0200% D. 102%

Mathematics

The figure is a model of George Ferris's Ferris wheel. The diameter of the wheel is 248 feet; and ? is the central angle formed as a rider travels from his or her initial position P0 to position P1. Find the distance traveled by the rider if ?= 213°. Round your answer to the nearest tenth. ?  ?  s = __________ ft

Fill in the blank(s) with the appropriate word(s).

Mathematics

Find any vertical asymptotes as well as the location of any holes in the graph of the given rational function.f(x) = 

A. vertical asymptote: x = 2; holes: none B. vertical asymptote: x = 3; holes: none C. vertical asymptote: x = -2; holes: none D. vertical asymptote: x = -3; holes: none

Mathematics

The differential equation  is a model for an undamped spring-mass system with a nonlinear forcing function. The initial conditions are , . The

solution of the linearized system is Select the correct answer. ? A.
B.
C.
D.
E.

Mathematics