Provide an appropriate response.Indicate whether the following statement is true or false. If every element of a  matrix is multiplied by 5, the determinant of the new matrix is 5 times the determinant of the original matrix.

A. True
B. False


Answer: B

Mathematics

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A mail truck must deliver packages to 5 different homes (A, B, C, D, and E). The trip must start and end at A. The graph below shows the distances (in miles) between locations. We want to minimize the total distance traveled. How many different Hamilton circuits would we have to check if we use the brute-force algorithm? (Do not count the same circuit traveled backward.)

A. 12 B. 4 C. 30 D. 60 E. none of these

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Solve the problem.A company makes 3 types of cable. Cable A requires 3 black, 3 white, and 2 red wires. B requires 1 black, 2 white, and 1 red. C requires 2 black, 1 white, and 2 red. They used 100 black, 110 white and 80 red wires. How many of each cable were made?

A. 20 cable A; 93 cable B; 10 cable C B. 20 cable A; 20 cable B; 83 cable C C. 10 cable A; 20 cable B; 20 cable C D. 20 cable A; 20 cable B; 10 cable C

Mathematics