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A box with a square base of side x is three times higher than it is wide. Express the volume V of the box as a function of x.
Suppose you randomly draw two marbles, without replacement from a bag, containing six green, four red and three black marbles. a) Determine the probability that both marbles are red.
given four 1's and four 0's,how many ways these 8 symbols be listed such that in each list the number of 0's never exceed number of 1's as a list is read from left to right?List all the possible arrangements?
Let A be the bounded region enclosed by the graphs of f(x)=x and g(x)=x^3.
A rancher has 1200 ft of fencing to enclose two adjacent rectangular regions of equal areas. express the area A of the two rectangles as a function of the width x.
What are the four steps for solving an equation? Should any other factors be accounted for when solving an equation? Should any factors be accounted for when explaining how to solve an equation? Explain your answer.
The region bounded by the curves x = y^2 +16 and x = -y^2 + 24 is rotated around the y-axis. Find the volume of the resulting solid.
Find the polynomial of degree five whose graph goes through the points (0,5), (1,-1), (2,5) and whose slope at x=0 is -1, at x=1 is -2, and at x=2 is 3.
The annual interest rate for a customers loan of $675 is 19.25%. What is the total dollar amount to be repaid on the loan, including principle and interest, for the year.
A tank in the shape of an inverted right circular cone has height 6 meters and radius 4 meters. It is filled with 5 meters of hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank.
a city drains 178,00 gal of water from a full spherical tank with a radius of 29ft. how many gallons of water are left in the tank?
An office supply company sells x mechanical pencils per year at $p per pencil. The demand equation for these pencils is p=10-0.001x. The total annual cost of manufacturing x mechanical pencils is C(x)=5000+2x.
Estimate the length of the front wall, the area of the ceiling and the volume of the room.
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