Let (m × n) denote a matrix of size m × n. Find the size of the following product, or state that the product is not defined.(2 × 1)(1 × 1)

A. 2 × 2
B. 2 × 1
C. 1 × 2
D. not defined


Answer: B

Mathematics

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Use the maximum/minimum finder on a graphing calculator to determine the approximate location of all local extrema.f(x) = x5 - 15x4 - 3x3- 172x2 + 135x + 0.04

A. Approximate local maximum at 0.439; approximate local minimum at -12.663 B. Approximate local maximum at 0.379; approximate local minimum at 12.565 C. Approximate local maximum at 0.332; approximate local minima at -0.517 and -12.508 D. Approximate local maximum at 0.379; approximate local minima at -0.472 and 12.565

Mathematics

Solve the problem.The 9 ft wall shown here stands 30 feet from the building. Find the length of the shortest straight beam that will reach to the side of the building from the ground outside the wall.

A. 53.3 ft B. 52.3 ft C. 51.3 ft D. 39 ft

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Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting.f(x) = (-x)3 

A.

B.

C.

D.

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Use a Venn diagram to decide if the statement is true or false.A ? (B ? C)' = (A ? B') ? (A ? C') 

A. True B. False

Mathematics