Use the formula for the number of subsets of a set with n elements to solve the problem.Pasta comes with tomato sauce and can be ordered with some, all, or none of these ingredients in the sauce: {onions, garlic, carrots, broccoli, shrimp, mushrooms, zucchini, green pepper}. How many different variations are available for ordering pasta with tomato sauce?

A. 256
B. 128
C. 127
D. 255


Answer: A

Mathematics

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Solve the problem.The perimeter of a rectangle is 44 cm. The length is 12 cm longer than the width. What are the length and width of the rectangle?

A. Length: 22 cm; width: 10 cm B. Length: 17 cm; width: 5 cm C. Length: 23 cm; width: 11 cm D. Length: 12 cm; width: 5 cm

Mathematics

Simplify.( 6 + )2

A. 45 + 24 
B. 39
C. 14 
D. 39 + 12 

Mathematics

State the addition property illustrated by the given equation.913 + (-913) = 0

A. Commutative B. Associative C. Inverse D. Identity

Mathematics

Find the exact value under the given conditions.Given sin ? = - , with ? in quadrant IV, and tan ? = - , with ? in quadrant II. Find sec (? + ?).

A. - 
B. - 
C. - 
D.

Mathematics