A group consists of 8 freshmen and 7 sophomores.(a) How many ways can one select a committee of 5 from the group?(b) How many ways can one select a committee of 3 freshmen and 2 sophomores?
What will be an ideal response?
(a) 3003
(b) 1176
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Solve using the problem-solving strategy for systems of linear equations.Jarod is having a problem with rabbits getting into his vegetable garden, so he decides to fence it in. The length of the garden is 12 feet more than 4 times the width. He needs 74 feet of fencing to do the job. Find the length and width of the garden.
A. length: 36 ft; width: 6 ft
B. length: 61
ft; width: 12
ft
C. length: 28 ft; width: 4 ft
D. length: 32 ft; width: 5 ft
Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the y-axis.y = 6
, y = 0, x = 1
A. 
?
B. 30?
C. 
?
D. 12?
Find the unknown length in the right triangle. Give an exact answer.
A. b = 7
B. b = 
C. b = 7
D. b = 
Simplify.
A. 
B. 
C. 
D. 