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Suppose that you are to make a rectangular box with a square base [B]from two different materials. The material for the top and four sides of the box costs $1/ft^2; the material for the base costs $2/ft^2. Find the dimensions of the box of greatest possible volume if you are allowed to spend $144 for the material to make it.
A square garden plot measures 125 square feet. a second square garden plot measures 405 square feet. how many more feet of fence will the second garden plot require over that required for the first garden plot.
Find the average rate of change from x=2 to x=5. Find the derivative f'(x) from first principles, by setting up the difference quotient, (f(x+h)-f(x))/(h) and finding lim h->0 (f(x+h)-f(x))/(h)
The probability of both receiving and not receiving an F. The grade distribution is as follows for the past three (3) years for a course in college algebra, as shown below.
Provide label values for twin type
A rectangular page is to contain 196 square inches of printable area. The margins on each side are 1 inch. What should the dimensions of the page be so that the least amount of paper is used?
Let m and n be positive integers with n dividing m. Prove that the natural surjective ring projection Z/mZ ->Z/nZ is also surjective on the units:(Z/mZ)^x ->(Z/nZ)^x
We observe the inventory level at the beginning of the next period. Define a period s state to be the period s beginning inventory level. Determine the transition matrix that could be used to model this inventory system as a Markov chain.
how do you write an introduction for lacsap's fractions? What technology can be used to find the general statement for the numerator and the denominator?
What percent of the cruises will have 1,970 passengers or more? What percent of the cruises will have 1,600 or fewer passengers? How many passengers are on the cruises with the fewest 25 percent of passengers?
Circle O and circle P are externally tangent circles. Circle O is tangent to circle P at T, OT = 12, TP = 6. AB is a common external tangent line to both circles. Find AB.
Please explain how to find the equations of the tangent line and the normal line to the graph of the equation at the indicated point and achieve the specified answer.
Draw a different rectangle farm whose perimeter is also 16 centimeters. Label the length of its sides.
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