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a carpenter is building a rectangular room with a fixed perimeter of 328 ft. what dimensions would yield the maximum area? what is the maximum area?
Computing the Volume of a regular tetrahedron of edge length 2(alpha). Explain how to compute the volume of a regular tetrahedron of edge length 2(alpha).
A total of 393 tickets were sold for the school play. They were either adult tickets or students tickets. There were 57 fewer student tickets sold than adult tickets. How many tickets were sold?
Identify the statistical measures that would be used to analyze the data and calculate those measures, and explain your choice.
A market survey is conducted by your state legislator to determine the proportion of homeowners who would switch to a new "electrical energy supplier" if they had the opportunity afforded them by new state legislation. Of the 1,200 homeowners surv..
Write a system of equations in x and y describing the situation. Then solve. Sonia invested a total of $12,000 into two accounts paying 7.5% and 6% simple interest. If her total return at the end of the first year was $840, how much did she invest..
a kite 100 feet above the ground moves horizontally at a speed of 8 feet per second. At what rate is the strong being let out when 200 feet of string has been let out.
A baseball diamond is a square with side 90ft. A batter hits the ball and runs towards first base with a speed of 29 ft/s.
A closed rectangular box having a volume of 7 ft3 is to be constructed. If the material for the sides costs $1.2/ft2 and the material for the top and bottom costs $1.3/ft2, find the dimensions of the box that can be constructed with minimum cost. ..
a cashier has a total of 123 bills made up of fives and tens. The total value of the money is $725. how many ten-dollar bills does the cashier have?
Given one period of a function expand it in a sine-cosine Fourier Series and in a complex exponential Fourier Series. Do not use even or odd function shortcuts.
A ball of radius 17 has a round hole of radius 7 drilled through its center. Find the volume of the resulting solid.
An investment grows by 35% over a 6-year period. What is its effective annual percent growth rate?
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