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The count in a bacteria culture was 800 after 20 minutes and 1500 after 35 minutes.
What was the initial size of the culture?
Forty feet of fencing are to enclose three sides of a rectangular patio. The fourth side of the patio is a side of the house, and requires no fencing.
What is the ratio of cranberry juice to apple juice?
to earn a B in your algebra class, you must achieve a test average 84 and 86, inclusive. you score 86,85,80 on the first three tests. what possible scores can you earn on the fourth and final test to earn a B in the course.
Water is pumped out of a holding tank at a rate of 6 - 6e-0.14t liters/minute, where t is in minutes since the pump is started. If the holding tank contains 1000 liters of water when the pump is started, how much water does it hold one hour later?
A landscaper blends his own fertilizer which consists of four compounds at the listed price per lb: Formulate an LP problem to determine what blend of these compounds will minimize the cost of a 50lb bag of fertilizer given the following:
A company makes two soft drinks A and B. Each liter of A requires 4 hours processing and 4 hours distillation while each liter of B requires 5 hours processing and 3 hours distillation.
The perimeter of a certain basketball court is 266 ft, and its length is 35 ft more than its width. find the dimensions of the court.
Show the similarities between dividing two fractions and dividing two rational expressions using examples of each; Explain your steps.
a carpenter is building a rectangular room with a fixed perimiter of 300 ft. What dimensions would yield the maximum area? what is the maximum area?
Find the area of the region bounded by the parabola y = 5x^2, the tangent line to this parabola at (4, 80), and the x-axis.
One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute the expectations and variances of X and Y.
The Speedmaster IV automobile gets an average 22 miles per gallon in the city. The standard deviation is 3 miles per gallon. Find the probability that on any given day, the automobile will get more than 26 miles per gallon when driven in the city.
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