Determine whether the infinite geometric series converges or diverges. If it converges, find its sum.

A. Converges; 4
B. Converges; 16
C. Converges; 12
D. Diverges


Answer: C

Mathematics

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Find an equation for the sphere with the given center and radius.Center (0, 0, 2), radius = 8

A. x2 + y2 + z2 + 4z = 60 B. x2 + y2 + 8 z2 + 4z = 60 C. x2 + y2 + 8 z2 - 4z = 60 D. x2 + y2 + z2 - 4z = 60

Mathematics

Provide an appropriate response.Evaluate the function f(x) = x. What input values would produce a rational output value? What input values would produce an irrational output value?

What will be an ideal response?

Mathematics

Find f-1(x) for the following one-to-one function f.f(x) = 8x3 - 7

A. f-1(x) = , x ? -7
B. f-1(x) = 
C. f-1(x) =   + 7 
D. f-1(x) = 

Mathematics

Find the value. 

A. 11.978 B. 15.784 C. 13.816 D. 28.102

Mathematics