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A company wishes to manufacture a box with a volume of 52 cubic feet that is open on top and is twice as long as it is wide. Find the width of the box that can be produced using the minimum amount of material. Round to the nearest tenth, if necessary.
In one room of the science fair were six projects, and each project was entered by a pair of students. During the fair, some of the students visited other projects in the room and shook hands with some of the other project entrants.
If the point A (3,4) is translated by the column vector (2,-5), what would be the co-ordinates of its image?
A bakery makes cakes. The bakery has daily fixed costs of $418 per day and variable costs of $7.30 per cake produced. Cakes are sold for $12.80 each.
At what point do the curves r1 = and r2 = intersect? And what is the angle of intersection?
A population of animals oscillates sinusoidally between a low of 500 on Janary 1 and a high of 700 on July 1. Graph the population against time. Find a formula for the population P as a function of time, t, measured in months since the start of th..
Find the inverse of the matrix.
A ball has been dropped from the top of a building. Its height (in feet) after t seconds is given by the function H(t) = =16t^2+256. How far will the ball travel during the third second?
What is a binomial factor? In your own words, describe the process of factoring by grouping. Explain how the distributive property is used in this process. Give a detailed example of this process.
Two circles of different radii touch internally at C. A tangent at P on the smaller inner circle touches the larger circle at A and B. Join ABC. Prove that CP bisects angle
Bonni has two similar rectangular boxes. The dimensions of box 1 are twice those of box 2. How many times greater is the volume of box 1 than the volume of box 2?
the equation a=25000 - 1500t, where t is the time in minutes and a is the altitude in feet, represents the steady decent of a certain aiplane. Graph the equation using the x- and the y- intercepts. How long will it be before the airplane reaches t..
A machinist can produce 114 parts in 6 minutes .At this rate , how many parts can the machinist produce in 15 minutes.
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