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y=0.15x+0.79 represents an estimate of the average cost of gas for year x starting in 1997 ("Consumer price index," 2006). The year 1997 would be represented by x = 1, for example, because it is the first year in the study. Similarly, 2005 would be year 9, or x = 9 What is the slope, or rate of change, of this equation?
Show that if 7 integers are selected from the first 10 positive integers there must be at least 2 pairs of these integers with the sum 11
a chemist needs 160 milliliters of a 33% solution but has only 21% and 53% solutions available. find how many milliliters of each that should be mixed to get the desired solution.
find an equation of the line passing throughout (-3,4) and parallel to the x-axis.
what is the maximum revenue?
Prove the following theorem: If x y + for any > 0 then x y.
Show the mass as triple integral and solve the integral using spherical polar coordinate and Use the spherical coordinate integral to evaluate
Due to a manufacturing error, three cans of diet soda were accidentally filled with regular soda and placed into a 12-pack. Two cans are randomly selected from the case.
Find the mean and variance of theses draws
closed box with a square base has to have a volume of 3000 cubic inches. Find a function for the surface area of the box.
marta's checkbook shows that she wrote a check for 987$ for building materials. what was the price of the materials if the sale tax is 5% ?
you are designing a basketball court to put in your backyard and you are given 975 feet of fencing. What are the detentions that would maximize the area of the court?
A bowl is shaped like a hemisphere with diameter 36 cm. A ball with diameter 4 cm is placed in the bowl and water is poured into the bowl to a depth of h centimeters. Find the volume V of water in the bowl. Consider two cases: one in which the bal..
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