Use a determinant and the given vertices of a triangle to find the area of the triangle.
?
?
A. 27
B. 
C. 29
D. 
E. 
Answer: D
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Solve the problem.Find the volume of the region enclosed by the paraboloids 
and 
.
A. 2500? B. 1250? C. 1875? D. 625?
Determine if the given ordered pair is a solution of the equation.y = 5x; (1, 5)
A. Not a solution B. A solution
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. To determine the maximum profit, the simplex method can be
used and the final tableau is: x1 x2 x3 x4 x5 M 
What is the marginal value of blueberry juice?
A. 0
B. 30
C. 
D. 
Find decimal notation.
A. 0.813 B. 0.7125 C. 0.8125 D. 0.8225