Find the length of the third side of the right triangle. Give an exact answer and, where appropriate, an approximation to three decimal places.

A. c = 7 km
B. c = 9 km
C. c = 5 km
D. c = 10 km 


Answer: D

Mathematics

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Solve the given differential equation. + y = 12 + 6 sin 5x

A. y = c1 sin x + c2 cos x -  sin 5x + 12
B. y = c1 sin x + c2 cos x +  sin 5x + 12
C. y = c1 sin x + c2 cos x -  cos 5x + 12
D. y = c1 sin x + c2 cos x -  sin 5x

Mathematics

Solve the problem.The following table shows a country's population from 2014 to 2017:Divide the population for each year by the population in the preceding year. Use this ratio to write the general term of the geometric sequence describing the country's population growth n years after 2013. Then estimate the country's population , in millions, in 2022.

A. an = 10.10(1.02)n-1 ; 14.21 million B. an = 10.10(1.03)n-1 ; 13.18 million C. an = 10.10(1.02)n-1 ; 14.92 million D. an = 10.10(1.03)n-1 ; 12.79 million

Mathematics

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting.f(x) = x2

A.

B.

C.

D.

Mathematics

Solve the equation by factoring.16x2 + 28x = 0

A. {, 0}
B. {0}
C. {, - }
D. {- , 0}

Mathematics