Solve.The speed of a vehicle is inversely proportional to the time it takes to travel a fixed distance. If a vehicle travels a fixed distance at 20 miles per hour in 45 minutes, how fast must it travel to cover the same distance in 60 minutes?
A. miles per hour
B. 135 miles per hour
C. 15 miles per hour
D. miles per hour
Answer: C
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Find the rate of change. Use appropriate units.The line graph represents the gallons of water in a swimming pool after x hours. There is a pump that can either add or remove water from the pool. Find the rate of change from (5, 296) to
A. - 148 gallons per hour B. 148 gallons per hour C. 74 gallons per hour D. - 74 gallons per hour
Represent the vector in the form v = ai + bj whose magnitude and direction angle are given. = 10; ? = 120°
A. v = 5i - 5j
B. v = -5i + 5j
C. v = -5i + 5
j
D. v = 5i - 5j
Determine whether the pair of lines is parallel, perpendicular, or neither.12x + 4y = 1624x + 8y = 36
A. Parallel B. Perpendicular C. Neither
Find the maximum or minimum value of the given objective function of a linear programming problem. The figure illustrates the graph of the feasible points.Objective Function: z = 5x + 7yFind maximum and minimum.
A. maximum value: 37; minimum value: 21 B. maximum value: 72; minimum value: 15 C. maximum value: 72; minimum value: 21 D. maximum value: 37; minimum value: 15