Solve the problem.The sparks from an emery wheel to sharpen blades fly off tangent to the wheel. Find the equation along which sparks fly from a wheel described by x2 + y2 = 89, at (5, 8).
A. 5y - 8x - 80 = 0
B. 5y + 8x - 80 = 0
C. 8y + 5x - 89 = 0
D. 8y - 5x - 89 = 0
Answer: C
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Determine when the Hamilton method gives an Alabama paradox on increasing committee size and who loses a seat.City A, City B, and City C are cooperating to build a community center catering to the three cities. Seats on the 7-member committee are assigned according to the populations of the cities. The population of City A is 7755, City B is 6105, and City C is 2640. Increase the committee's size by one seat at a time and reassign the seats.
A. Assignment of 10th seat; City A B. Assignment of 12th seat; City C C. Assignment of 11th seat; City C D. Assignment of 10th seat; City C
Solve the problem.The following numerical representation for f computes the average number of hours of television watched per day based on year of birth x.
Give a numerical representation for a function g that computes the average number of hours of television watched per day for the year x, where 
corresponds to the birth year 1975. Write an equation that shows the relationship between f(x) and g(x).
A. 
f(x) = g(x) - 1975
B. 
f(x) = g(x - 1975)
C. 
f(x) = g(x - 1900)
D. 
f(x) = g(x + 1975)
Simplify.
? 
+ 
? 
A. 
B. 
C. 
D. 
Find the amount paid by each insurance company. Assume that any coinsurance requirement is met.Insurance loss: $16,000Company A coverage: $80,000Company B coverage: $20,000
A. A pays: $16,000 B pays: $0 B. A pays: $12,800 B pays: $3200 C. A pays: $8000 B pays: $8000 D. A pays: $12,000 B pays: $4000