Identify the natural number as prime or composite. If the number is composite, find its prime factorization.90

A. 2 ? 3 ? 3 ? 5
B. 2 ? 2 ? 3 ? 5
C. 2 ? 3 ? 5
D. prime


Answer: A

Mathematics

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A.
B.
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Mathematics

Solve the problem.Find the dimensions of a rectangular enclosure with perimeter 68 yards and area 285 square yards.

A. 16 yards by 18 yards B. 16 yards by 19 yards C. 15 yards by 18 yards D. 15 yards by 19 yards

Mathematics

Find: a. The center and radius of the circle. b. The x- and y-intercepts of the graph of the circle.x2 + y2 - 2x + 2y - 6 = 0

A. a. center = (1, -1); radius = 2
b. (1 + , 0), (1 - , 0), (0, -1 + ), (0, -1 - )
B. a. center = (-1, -1); radius = 2
b. (1 + , 0), (0, -1 + )
C. a. center = (-1, 1); radius = 8
b. (1 + , 0), (0, -1 + )
D. a. center = (1, -1); radius = 2
b. (-1 + , 0), (-1 - , 0), (0, 1 + ), (0, 1 - )

Mathematics

Solve the problem.A company has three different marketing strategies that produce different results depending upon whether inflation is above 6%, between 3% and 6% inclusive, or below 3% annually. The experts cannot predict inflation for the next year. The company has three plans of action and will implement these at varying percentages of its total operation. The payoff matrix for these three plans is given below, with values given in hundred thousands. What is the market strategy for the company that will yield the best expected value?   

A. The company should use Plan 1 with probability 1, Plan 2 with probability 0, and Plan 3 with probability 0. B. The company should use Plan 1 with probability 5/13, Plan 2 with probability 8/13, and Plan 3 with probability 0. C. The company should use Plan 1 with probability 0, Plan 2 with probability 1, and Plan 3 with probability 0. D. The company should use Plan 1 with probability 4/13, Plan 2 with probability 9/13, and Plan 3 with probability 0.

Mathematics