Evaluate the determinant.
A. 16
B. 10
C. -22
D. -16
Answer: D
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Solve the problem.The liquid portion of a diet is to provide at least 300 calories, 36 units of vitamin A, and 90 units of vitamin C daily. A cup of dietary drink X provides 60 calories, 12 units of vitamin A, and 10 units of vitamin C. A cup of dietary drink Y provides 60 calories, 6 units of vitamin A, and 30 units of vitamin C. Set up a system of linear inequalities that describes the minimum daily requirements for calories and vitamins. Let x = number of cups of dietary drink X, and y = number of cups of dietary drink Y. Write all the constraints as a system of linear inequalities.
A. 60x + 60y > 300 12x + 6y > 36 10x + 30y > 90 x > 0 y > 0 B. 60x + 60y ? 300 12x + 6y ? 36 10x + 30y ? 90 x ? 0 y ? 0 C. 60x + 60y ? 300 12x + 6y > 36 10x + 30y ? 90 D. 60x + 60y ? 300 12x + 6y ? 36 10x + 30y ? 90 x ? 0 y ? 0
Write a short statement that expresses a possible function between the given variables.(weight of a bag of oranges, price of the bag of oranges)
A. As the weight of the bag of oranges decreases, the price of the bag increases. B. As the price of the bag of oranges increases, the weight of the bag decreases. C. As the price of the bag of oranges decreases, the weight of the bag increases. D. As the weight of the bag of oranges increases, the price of the bag increases.
Solve.The cross-sectional area of a rectangular duct is 240 square inches. If the length is 5 inches less than twice the width, what is the length of each side? Round to the nearest hundredth.
What will be an ideal response?
Write the set in set builder notation.The odd natural numbers less than 53.
A. {x ? N?x is odd and x ? 51} B. {x ? N?x < 53} C. {x ? N?x < 52} D. {x ? N?x is odd and x ? 53}