Sketch the solid bounded by the graphs of the equations z =x²+y²+z² =16 and z=50-x²-y², and then use a triple integral to find the volume of the solid.
What will be an ideal response?
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Provide an appropriate response.Which of the following numbers is a composite number?
A. 47 B. 61 C. 34 D. 53
Solve the problem.The student body at Hickory Middle School is voting for which new food item should be added to the school's cafeteria menu. The choices are Turkey Club (TC), Popcorn Shrimp (PS), BBQ Ribwich (BR), and Tofu Stir fry (TS). The following table gives the preference schedule for the results of the vote. 
Suppose that the voting rules are that when there is a food item with a majority of votes, it is the winner. Otherwise, all candidates with 20% or less of the first-place votes are eliminated and the votes are recounted. Find the preference schedule for the recount.
A. 
B. 
C. 
D. 
E. 
Represent the linear system as an augmented matrix. 3x + 7y = 52 5y = 20
A. 
B. 
C. 
D. 
Solve the problem.A bakery owner sells rectangular birthday cakes that are 5 inches longer than they are wide. To increase his profit, he decides to decrease both the length and width by 3 inches. If the area of the new cake is 66 in.2 smaller than the old cake, then what are the length and width of the old cake?
A. length = 15 in. ; width = 10 in. B. length = 16 in. ; width = 8 in. C. length = 17 in. ; width = 11 in. D. length = 14 in. ; width = 9 in.