Solve the problem.Jake has a cable that is 64 feet long. He wants to cut it into pieces that are 6.4 feet long. How many 
pieces will he get from the cable?
A. 11 pieces
B. 100 pieces
C. 10 pieces
D. 9 pieces
Answer: C
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Provide an appropriate response.When a balanced die is rolled, the probability that a six will appear is 
. Suppose that you have just rolled the die five times without getting a six. What is the probability that you will get a six on the next roll of the die?
A. 1
B. 0
C. 
D. Greater than 
but less than 1
Find all the first order partial derivatives for the following function.f(x,y,z) = xe(x2 + y2 + z2)
A. 
= (1 + 2x2) e(x2 + y2 + z2); 
= xy2e(x2 + y2 + z2); 
= xz2e(x2 + y2 + z2)
B. 
= (1 + 2x2) e(x2 + y2 + z2); 
= 2xye(x2 + y2 + z2); 
= 2xze(x2 + y2 + z2)
C. 
= 2x2e(x2 + y2 + z2); 
= xye(x2 + y2 + z2); 
= 2xze(x2 + y2 + z2)
D. 
= (1 + 2x2) e(x2 + y2 + z2); 
= xe(x2 + y2 + z2); 
= xe(x2 + y2 + z2)
Find the angle between v and w. Round your answer to one decimal place, if necessary.v = 2i - 7j,
w = 8i - 9j
A. 35.7° B. 2.9° C. 12.9° D. 25.7°
Find the requested measurement.The points (-2, -3) and (-2, 2) are the endpoints of the diameter of a circle. Find the length of the radius of the circle.
A. 3.5 B. 2.5 C. 3 D. 2