Find the area of the shaded region in the figure. Round results to the nearest unit.Find the area of the shaded portion of the circle. Use 3.14 for ?. Figure not drawn to scale.

A. 254.34 cm2
B. 17.415 cm2
C. 81 cm2
D. 46.17 cm2


Answer: D

Mathematics

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Find the exact value by using a sum or difference identity.sin 255°

A. - 
B. - 
C.  
D.  

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Solve the minimization problem by using the simplex method to solve the dual problem.A store makes two different types of smoothies by blending different fruit juices. Each bottle of Orange Daze smoothie contains 10 fluid ounces of orange juice, 4 fluid ounces of pineapple juice, and 2 fluid ounces of blueberry juice. Each bottle of Pineapple Blue smoothie contains 5 fluid ounces of orange juice, 6 fluid ounces of pineapple juice, and 4 fluid ounces of blueberry juice. The store has 500 fluid ounces of orange juice, 360 fluid ounces of pineapple juice, and 250 fluid ounces of blueberry juice available to put into its smoothies. The store makes a profit of $1.50 on each bottle of Orange Daze and $1 on each bottle of Pineapple Blue.What is the marginal value of orange juice? [Hint: use the

simplex method to determine the maximum profit and use the final tableau to determine the marginal value.]

A.
B. 30
C.
D. 0

Mathematics

Let p represent "I eat too much," let q represent "I exercise," and let r represent "the food is good." Write the compound statement in symbols.The food is good, and if I eat too much then I exercise.

A. (r ? p) ? q B. r ? (p ? q) C. (r ? p) ? q D. (r ? p) ? q

Mathematics

Solve the problem.Suppose that the function y = f(x) is decreasing on the interval (2, 5). What can be said about the graph of 

A. decreasing on (2, 5) B. increasing on (-2, -5) C. decreasing on (-2, -5) D. increasing on (2, 5)

Mathematics