Using a dot product, calculate the work done in the given situation.A car weighing 1950 pounds is pushed with a constant force of 20 pounds for a distance of 80 feet on level ground.
A. 160 ft-lb
B. 1600 ft-lb
C. 39,000 ft-lb
D. No work is done
Answer: B
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Solve the problem.Under certain conditions the wind speed S, in miles per hour, of a tornado at a distance d from its center can be approximated by the function where a is an atmospheric constant, and V is the approximate volume of the tornado, in cubic feet. Interpret
.
A. represents the instantaneous rate of change in speed with respect to volume while distance is held constant.
B. represents the instantaneous rate of change in speed with respect to distance while volume is held constant.
C. represents the instantaneous rate of change in volume with respect to speed while distance is held constant.
D. represents the instantaneous rate of change in speed with respect to volume and distance.
A bus company operates four bus routes (A, B, C, and D) and 100 buses. The buses are apportioned among the routes on the basis of average number of daily passengers per route which is given in the following table.
Find the apportionment of the buses among the routes using Webster's method.
A. Route A: 12; Route B: 37; Route C: 20; Route D: 31 B. Route A: 12; Route B: 37; Route C: 19; Route D: 32 C. Route A: 13; Route B: 36; Route C: 20; Route D: 31 D. Route A: 13; Route B: 36; Route C: 19; Route D: 32 E. none of these
Simplify the complex rational expression.
A.
B.
C.
D.
Find all solutions by factoring.2x2 - 18x = -36
A.
B. {6, 12}
C.
D.