Provide an appropriate response.If an 8-inch wide rectangle is to approach the golden ratio, what should its length be?

A. 5 in
B. 12 in
C. 10 in
D. 13 in


Answer: D

Mathematics

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Solve the problem.Find a vector of magnitude 3 in the direction opposite to the direction of v = i + j - k.

A. 5
B. 3
C. 5
D. 5

Mathematics

Perform the indicated operation. Use the form for vectors.v = <-6, -7>, w = <9, -1>, u = <3, -4>; Find v + w - 8u.

A. <-5, 8> B. <-13, 8, 8> C. <6, -12> D. <-21, 24>

Mathematics

Divide.

A. 27 r 4 B. 31 C. 27 D. 27 r 8

Mathematics

Solve the problem.Jerry builds rocking chairs and porch swings and sells them a a local flea market. The lumber requirements for each type of item are summarized in the table below. Currently, Jerry has 100 2×4's, 55 2×6's, and 100 1×4's in stock. Rocking chairs sell for $40 and porch swings sell for $65. How many pieces of each type of lumber are left over after Jerry has built the number of chairs and swings that maximize his revenue?

A. 4 2×4's, 0 2×6's, and 5 1×4's. B. 0 2×4's, 0 2×6's, and 15 1×4's. C. 15 2×4's, 0 2×6's, and 0 1×4's. D. 5 2×4's, 0 2×6's, and 4 1×4's.

Mathematics