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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. (Give your answers correct to 2 decimal places.)
Amy plans to paint both sides of a fence whose base is in the xy-plane and is given by the points (x,y) where x = 30cos^3(t) and y = 30sin^3(t) for 0
How is doing operations (adding, subtracting, multiplying, and dividing) with rational expressions similar to or different from doing operations with fractions?
Use a graphing calculator, a spreadsheet, or mathematical software to obtain the solution. Find the APR on a 20-year mortgage of $562,000 carrying a stated interest rate of 4.5% compounded monthly and seven points.
If an 8 foot beam will support up to 750 pounds when the beam is 4 inches wide and 2 inches thick, what is the maximum safe load in a similar beam 10 feet long, 6 inches wide, and 2 inches thick?
A surveyor standing 66 meters from the base of a building measures the angle to the top of the building and finds it to be 36°. The surveyor then measures the angle to the top of the radio tower on the building and finds that it is 45°. How tall i..
A grapefruit is tossed straight up with an initial velocity of 58 ft/sec. The grapefruit is 6 feet above the ground when it is released. Its height at time T is given by y=-16T^2+58T+6. How high does the grapefruit go before returning to the groun..
A poll of 60 students found that 37% were in favor of raising tution to build a new math building. The standard deviation of this poll is 5%. What would be the standard deviation if the sample size were increased from 60 to 253?
M(dv/dt)= -cv-mg v(0)=0, find v(t) and check that your answer satisfies the initial condition and the differential equation.
A ball of radius 17 has a round hole of radius 6 drilled through its center. Find the volume of the resulting solid.
Determine whether the statement is true or false. If it is true, explain why it is true. If false, give an example to show it is false.
The difference exists between the mean number
Create an expression for your classmates to solve that uses scientific notation and at least one of the rules for exponents you have describe.
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