Provide an appropriate response.Simplify the following expression:  

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


5mnsqrt(3m)

Mathematics

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Find z1z2. Express the answer in standard form.z1 = 3(cos 45° + i sin 45°)z2 = 2(cos 90° + i sin 90°)

A. 3 - 12i
B. 2 - i
C. -6 - 6i
D. -3 + 3i

Mathematics

Write the expression as a pure imaginary number.

A. ±20 
B. -20i 
C. 20i 
D. i

Mathematics

Solve the problem.The radius of a sphere is given by the formula , where S is the surface area. If the surface area is 10,699 square inches, what is the radius? Use 3.14 for ?, and round your answer to the nearest tenth of an inch.

A. 51.7 in. B. 91.6 in. C. 0 in. D. 29.2 in.

Mathematics

Suppose that the function with the given graph is not f(x), but f'(x). Find the open intervals where f(x) is increasing or decreasing as indicated.  Increasing 

A. (2, ?) B. (-2, 2) C. (-?, -2), (2, ?) D. (0, ?)

Mathematics