Solve the problem.The city council gave a questionnaire to its citizens, asking them to rank their priorities for next year's budget. People were asked to rank the following four choices: (P)olice, (R)oads, (S)chools, and (T)rash removal. The results are summarized in the table below.
Which choice wins using the Borda count method?
A. T
B. R
C. S
D. P
Answer: B
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Solve the system by graphing. If there is no solution or an infinite number of solutions, so state. Use set notation to express the solution set.
A. {(-2, -5)} B. {(5, -2)} C. no solution; ? D. {(-2, 5)}
Provide an appropriate response.Suppose that a simple economy consists of three sectors: agriculture (A), manufacturing (M), and transportation (T). Economists have determined that to produce one unit of A requires units of A,
units of B, and
units of T, while production of one unit of M requires
units of A,
src="https://sciemce.com/media/4/ppg__tttt0616191201__f1q59g5.jpg" style="vertical-align: -17.0px;" /> units of M, and units of T, and production of one unit of T requires
units of A,
units of M, and
units of T. There is an external demand for 20 units of A, 40 units of M, and 10 units of T. Determine the production levels necessary to meet the external demand.
What will be an ideal response?
Factor the sum or difference of two cubes completely.135t3 - 5
A. 5(3t - 1)(9t2 + 3t + 1) B. 5(3t + 1)(9t2 - 3t + 1) C. 5(3t - 5)(9t2 + 15t + 5) D. 5(3t - 1)(9t2 - 3t + 1)
Estimate the increase in the cost of a 30-second spot from the Super Bowl in 2000 to the Super Bowl in 2005.
The line graph shows the costs of a 30-second television spot (in thousands of
dollars) during the Super Bowl from 1995 to 2005.
A) 300 thousand dollars
B) 200 thousand dollars
C) 100 thousand dollars
D) 400 thousand dollars
E) 360 thousand dollars