Solve the problem.A pair of six-sided dice are rolled. The observation is the number that comes up on each die. The event described by E: "both dice will come up as even numbers" is

A. {(2, 4), (2, 6), (4, 2), (4, 6), (6, 2), (6, 4)}.
B. {(1, 1), (2, 2), (2, 4), (2, 6), (3, 3), (4, 2), (4, 4), (4, 6), (5, 5), (6, 2), (6, 4), (6, 6)}.
C. {(2, 2), (2, 4), (2, 6), (4, 2), (4, 4), (4, 6), (6, 2), (6, 4), (6, 6)}.
D. {(1, 2), (1, 4), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 2), (3, 4), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4),  (4, 6), (5, 2), (5, 4), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}.
E. none of these


Answer: C

Mathematics

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A.

B.

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D.

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Use synthetic division to find the quotient and the remainder.x5 + x3 - 2 is divided by x + 3

A. x4 - 3x3 + 9x2 - 26x + 78; remainder -236 B. x4 - 2; remainder 4 C. x4 - 3x3 + 10x2 - 30x + 90; remainder -272 D. x4 - 2x2; remainder 4

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Solve.A rope 12 feet long is cut into two unequal pieces. Each piece is used to form a square. Let x represent the length of the shorter piece of rope. Write a function A(x) that expresses the total area enclosed by the two squares.

A. A(x) = 
B. A(x) = 144 - 24x
C. A(x) = 
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