Solve the problem.The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Clark (C), Jones (J), and Smith (S). Determine the winner using the pairwise comparison method and if the winner received a majority of first place votes.

A. Jones; No
B. Smith; No
C. Smith; Yes
D. Jones; Yes


Answer: B

Mathematics

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0.000235

A. 2.35 × 103 B. 235 × 10-6 C. 2.35 × 10-4 D. 23.5 × 104

Mathematics

The length of time (in seconds) a certain individual takes to learn a list of n items is approximated by . ?  Use differentials to approximate the additional time it takes the individual to learn the items on a list when n is increased from 42 to 45 items. Round to the nearest second. ? 

A. 187 sec B. 169 sec C. 193 sec D. 171 sec

Mathematics

Provide an appropriate response.One way to measure a person's cardiofitness is to calculate how many METs, or metabolic units, he or she can reach at peak exertion. One MET is the amount of energy used when sitting quietly. To calculate ideal METs, we can use the expression: Researchers recommend that a person reach approximately 85% of his or her MET when exercising. Calculate 85% of the ideal MET for a 65-yr-old woman. Then refer to the following table. What activity can the woman do that is approximately this value? 

A. 5.313; Ballroom or square dancing B. 6.25; Swimming C. 5.313; Walking D. 6.25; Mowing lawn

Mathematics

Draw the graph of the equation.x2 - 16y - 8x = 0

A.

B.

C.

D.

Mathematics