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The height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. When graphed, the function gives a line with a slope of −0.6 Suppose that the height of the candle after 19 hours is 9.6 centimeters. What was the height of the candle after 13 hours?
Confirm that the two results are consistent by expressing the derivative in part (a) as a function of x alone.
The bucket is filled with 36 lb of water and is pulled up at a rate of 4 ft/sec, but water leaks out of the bucket at a rate of 0.6 lb/sec. Find the work done in pulling the bucket to the top of the well (in ft-lb).
At the first tri-city meeting, there are 8 people from town A, 7 people from town B, and 5 people from town C. If a council consisting of 5 people is randomly selected, find the probability that 2 are from town A and 3 are from town B.
the dunbar family consists of a mother, a father and some children. The average age of the members of the family is 20. The father is 48 and the average age of the mother and the children is 16. how many children do they have?
find the perimeter of one of the smaller rectangles using systems of equations.
Probability of selecting a resident live in Alaska, According to the U. S. Census Bureau, the total 2008 U.S. population was 303,824,640. The chart below summarizes the 2008 population for five U.S. States.
1) Experiment: Roll three 6-sided dice and flip a coin then record the results a) Describe a suitable sample space for the experiment that contains equally likely outcomes. b) Find the probability that the total sum of the three dice is 6 and the coi..
estimate the size of the bear population on the keweenaw peninsula, conservationists captured, tagged, and released 50 bears. One year later a random sample of 100 bears included only tagged bears. What is the conservationists estimates of the siz..
Suppose you have a flexible fence of length L=130 meters. You want to use all of this fence to enclose a rectangular plot of land of at least 800 square meters in area. Which of these functions model the area of the plot if x is the width?
the cost of laying pipe is $400,000/km to run pipe over land to a point P on the north bank of the river and then $800,000/km to run pipe under the river to the tanks. where should the point P be located?
Compare your approximation with the acutal value of the tangent of 1/4 radian as shown on a calculator.
Find an equation for the sphere centered at (2, -4, -1) that is tangent to the y-z coordinate plane.
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