Find the exact value of the given expression.


Mathematics

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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 11-member committee are assigned according to the populations of the cities. The population of City A is 5000, City B is 11,250, and City C is 15,500. Increase the committee's size by one seat at a time and reassign the seats.

A. Assignment of 15th seat; City C B. Assignment of 16th seat; City A C. Assignment of 14th seat; City A D. Assignment of 16th seat; City B

Mathematics

Solve.At Allied Electronics, production has begun on the X-15 Computer Chip. The total revenue function is given by  and the total cost function is given by  where x represents the number of boxes of computer chips produced. The total profit function, P(x), is such that  Find P(x).

A. P(x) = -0.3x2 + 40x - 15 B. P(x) = 0.3x2 + 40x - 30 C. P(x) = -0.3x2 + 31x + 15 D. P(x) = 0.3x2 + 31x - 45

Mathematics

Find the distance between the pair of points on the number line.16, 0

A. -16 B. 32 C. 16 D. 0

Mathematics

Solve.The local citizen's group sold raffle tickets and made $323. This was 5 times the amount of money that the winner received. Write an equation that could be used to find the amount, w, received by the winner. 

A. = 5 ? 323
B. 5 + w = 323
C.  = 323
D. 5= 323

Mathematics