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Water is leaking out of an inverted conical tank at a rate of 8900000 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 15000 meters and the diameter at the top is 4500 meters. If the water level is rising at a rate of 15000 centimeters per minute when the height of the water is 4500 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute.
Explain why G cannot contain a subdivision of K5, but must contain a subdivision of K3 and draw two such a graphs, one in which K3,3 is a subgraph, and One in which there is a proper subdivision of K3,3 as a subgraph
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y= 10-x^2. What are the dimensions of such a rectangle with the greatest possible area?
For which values of k are the following vectors u and v orthogonal? Let u,v be orthogonal unit vectors. Prove that d(u,v) = 2^(1/2)
There are 410 feet of fencing available for the other three sides of the enclosure. Find the dimensions of the outdoor enclosure with the most area.
point A has the cartesian coordinates of (8,5)while point Bhas the cartesian coordinate of (4,11). with point A as the origin,what would be the relative coordinates of point B?
What is the probability that two cards drawn from a deck are both aces?. Two cards are drawn at random from an ordinary deck of playing cards. The first is not replaced before the second is drawn. What is the probability that:
How many small screen televisions must be produced in a month in order to minimize the company's average cost? Show all steps and justify your answer.
Multiple choice question from Probability - The probability that he either passes mathematics or fails chemistry
List the coordinates of any two points on the graph in (x, y) form. The numbers on the horizontal axis are 0.5, 1.0, 1.5, 2.0, 2.5, 3.0, 3.5, and 4.0.
The measure of the central angle of the sector
the aera of a rectangular wall in a classroom is 126 square feet. it lenght is 3 feet shorter than three times its width. find the length of the wall of the classroom.
the area of a rectangular computer lab is 660ft squared, and the width is 22ft. what is the length of the computer lab?
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