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At the movies, Maurice counted the number of kernels of popcorn that filled his tub and found that it had 316 kernels. He decided that next time, he will get an enlarged tub that is similar, but has a linear scale factor of 1.5. How many kernels of popcorn should the enlarged tub hold?
An apple orchard has an average yield of 32 bushels of apples/tree if tree density is 24 trees/acre. For each unit increase in tree density, the yield decreases by 4 bushels/tree. How many trees should be planted in order to maximize the yield?
A garden table and a bench cost $600 combined. The cost of the garden table is three times the cost of the bench. What is the cost of the bench?
In a sample batch of 36 mechanical pencils it is assumed that 10 are defective. If 5 mechanical pencils are randomly selected, what is the probability that none of them are defective?
the portion of the companys fixed costs allotted to this product is $250, and the suppliers price for a set of tile is $7. let x represent the number of tile sets. if b represents the fixed cost, what value would represent b?
Recall that S_N (f)(x)= sum (n=-N to N) c_n e^{inx}= 1/2pi integral (from -pi to pi) f(x-t)sin ((N+1/2)t)/sin(t/2) dt
A mountain is 14,72- feet above sea level, and a valley is 348 feet below sea level. What is the difference in elevation between the mountain and the valley?
Explain three rules for exponents listed in the chart on p. 239 (Section 4.2). Do not explain the first two definitions listed in the table (Exponent of 1 or 0).
Finding a straight line to a set of data yields the following prediction line: Y_hat=2 5Xi interpret the meaning of the Y intercept, bo
Find the equation of the line parallel to 8x + 17y = 2 and passing through the point (0,7).
A beam 4 inches wide, 6 inches deep, and 25 feet long can support a safe load of 576 pounds. Find the safe load for a beam that is of the same material but is 6 inches wide, 10 inches deep, and 20 feet long.
base elevation of 8700 ft, mountain peak in colorado rises 14407 ft over distance of 15844 ft. find the grade of the peak.
Find the average value of the function f(x) = cos^3x on the interval 0
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