Determine if the infinite geometric series converges or diverges. If the series converges, find its sum.-10 - 5 -  - . . .

A. diverges
B. converges, 10
C. converges, - 
D. converges, - 20


Answer: D

Mathematics

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Use the rules for exponents to rewrite the expression and then evaluate the new expression. (72)-1 

A.
B. - 
C. -14
D. -49

Mathematics

Graph the function f(x) over the given interval. Partition the interval into 4 subintervals of equal length. Then add to your sketch the rectangles associated with the Riemann sum , using the indicated point in the kth subinterval for ck.f(x) = 2x + 4, [0, 2], left-hand endpoint

A.

B.

C.

D.

Mathematics

An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.Objective Function z = 3x + 5yConstraints x ? 0 y ? 0 2x + y ? 15  x - 3y ? -3

A. maximum 75; at (0, 15) B. maximum 33; at (6, 3) C. maximum 38; at (6, 4) D. maximum 22.5; at (7.5, 0)

Mathematics

Add. Write your answer in lowest terms. + 

A.
B.
C.
D.

Mathematics