Use a finite approximation to estimate the area under the graph of the given function on the stated interval as instructed.f(x) = x2 between x = 1 and x = 5 using a lower sum with four rectangles of equal width.

A. 30
B. 41
C. 54
D. 69


Answer: A

Mathematics

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Factor the expression completely, if possible.49z3 + 112z2 + 64z

A. (7z2 + 8z)2 B. z(7z + 8)2 C. z(7z - 8)2 D. z2(7z + 8)2

Mathematics

Combine. Simplify the answer. - 

A.
B.
C.
D.

Mathematics

Solve the problem.Suppose that during a certain step in a chemical manufacturing process the amount of chlorine dissolved in a solution, measured in parts per million (ppm), is related to the elapsed time measured from the beginning of the step. Use the following table as a representation of this relationship. What does the ordered pair (9, 28.4) mean in the context of this situation?

A. (9, 28.4) indicates that 28.4 ppm of chlorine was dissolved after 15 minutes elapsed. B. (9, 28.4) indicates that 28.4 ppm of chlorine was dissolved after 9 minutes elapsed. C. (9, 28.4) indicates that 9 ppm of chlorine was dissolved after 28.4 minutes elapsed. D. (9, 28.4) indicates that 28.4 ppm of chlorine was dissolved after 9 seconds elapsed.

Mathematics

You are given a linear programming problem. Find the shadow price for resource 1.

Mathematics