Provide an appropriate response.
Multiply and simplify: (2 + 3i)(5 - i)

A. 10 + 10i
B. 7 + 13i
C. 13 + 13i
D. 10 + 16i


Answer: C

Mathematics

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Write a system of inequalities that describes the possible solutions to the problem.Andy decides to fence off a rectangular piece of his land to use as a vegetable garden. He has 80 feet of fencing so the perimeter of the fenced in area cannot exceed 80 feet. The length of the garden is to be at least 4 feet longer than the width. The width must be at least 6 feet. Write a system of inequalities that describe this situation. Let w represent the width and l represent the length.

A. l + w ? 80  l ? w + 4  w ? 6 B. 2l + 2w ? 80  l ? w + 4  w ? 6 C. l + w ? 80  w ? l + 4  l ? 6 D. 2l + 2w ? 80  w ? l + 4  l ? 6

Mathematics

Find the integral.

A. 8xex - 8ex + C B. 8ex - 8xex + C C. 8ex - ex + C D. xex - 8ex + C

Mathematics

Evaluate using a calculator. Express answers to the nearest ten-thousnadth.ln 0.000523

A. 7.5559 B. 3.2815 C. -7.5559 D. -3.2815

Mathematics

Translate to a proportion and solve. Round to the nearest hundredth, if necessary.125% of what number is 90?

A. 156.25 B. 15,625 C. 72 D. 720

Mathematics