Solve the problem.Ron attends a cocktail party (with his graphing calculator in his pocket). He wants to limit his food intake to 136 g protein, 125 g fat, and 174 g carbohydrate. According to the health conscious hostess, the marinated mushroom caps have 3 g protein, 5 g fat, and 9 g carbohydrate; the spicy meatballs have 14 g protein, 7 g fat, and 15 g carbohydrate; and the deviled eggs have 13 g protein, 15 g fat, and 6 g carbohydrate. How many of each snack can he eat to obtain his goal?
A. 3 mushrooms, 9 meatballs, 5 eggs
B. 9 mushrooms, 5 meatballs, 3 eggs
C. 10 mushrooms, 6 meatballs, 4 eggs
D. 5 mushrooms, 3 meatballs, 9 eggs
Answer: B
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Solve the problem.Find the moment of inertia of a sphere of radius 6 and constant density ? about a diameter.
A. 4536??
B. ??
C. ??
D. 5184??
Solve the problem.A man has $298,000 invested in three rental properties. One property earns 8.5% per year on the investment, a second earns 11%, and the third earns 7%. The annual earnings from the the properties total $17,000. Write a system of two equations to represent the problem with x, y, and z representing the 8.5%, 11%, and 7% investments, respectively.
A.
B.
C.
D.
Consider the function h as defined. Find functions f and g such that (f ? g)(x) = h(x).h(x) =
A. f(x) = -, g(x) = 4x + 3
B. f(x) = x, g(x) = 4x + 3
C. f(x) = , g(x) = 4x - 3
D. f(x) = , g(x) = 4x + 3
Find the angle ? between the given vectors to the nearest tenth of a degree.
?
?
A.
B. ?
C. ?
D. ?
E. ?