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Concept explainers
Flow rates of water -The speed at which water travels in
A pipe can be measured by directing the flow through an
Elbow and measuring the height to which it spurts out
The top. If the elbow height is 10cm, the equation relating
The height h (in centimeters )of the water above the elbw
And its velocity v(in centimeters per second )is given by
(a) Solve the equation for h and graph the result,
Using the velocity as the independent variable.
(b) If the velocity is 210 cm/sec, what is the height
Of the water above the elbow?
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Chapter 1 Solutions
Mathematical Applications for the Management Life and Social Sciences
- A car’s value varies inversely with its age. Elena bought a two-year-old car for $20,000. a. Write the equation of variation. b. What will be the value of Elena’s car when it is 5 years old?arrow_forwardThe distance a moving body travels, d, varies directly with time, t, it moves. A train travels 100 miles in 2 hours (a) Write the equation that relates d and t. (b) How many miles would it travel in 5 hours?arrow_forwardThe time required to empty a pool varies inversely as the rate of pumping. It took Lucy 2.5 hours to empty her pool using a pump that was rated at 400 gpm (gallons per minute). a. Write the equation of variation. b. How long will it take her to empty the pool using a pump rated at 500 gpm?arrow_forward
- A man throws a ball into the air with a velocity of 96 ft/sec. Use the formula h=16t2+v0t to determine when the height of the ball will be 48 feet. Round to the nearest tenth of a second.arrow_forwardA man throws a ball into the air with a velocity of 96 ft/s. Use the formula h=16t2+v0t to determine when the height of the ball will be 48 feet. Round to the nearest tenth.arrow_forwardThe force needed to break a board varies inversely with its length. Richard uses 24 pounds of pressure to break a 2-foot long board. a. Write the equation of variation. b. How many pounds of pressure is needed to break a 5-foot long board?arrow_forward
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