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Sand falling from a chite forms a conical pile whose hieght is always equal to 4/3 the radius of the base. how fast is the volume changing when the radius of the base is 3 ft and is increasing at the rate of 3 in.min?
What is the monthly payment?
A certain wheel has a diameter of 98 inches. If that wheel travels for 108 revolutions, then. How many years has it gone? (use 22/7 for pi)
a company wants to construct a box that will hold exactly 200 one inch cubes. find the dimensions of all possible boxes. which size box do you think the company should make? why?
A tank of water has a base a circle of radius 2 meters and vertical sides. If water leaves the tank at a rate of 9 liters per minute, how fast is the water level falling in centimeters per hour?
Find the values of x and y that solve the following system of equations
A firefighter aim a fire hose from 4 feet above the ground at a window that is 26 feet above the ground. The equation h=-0.01d^2+1.06d+4 models the path of the water when h equals height in feet
Let r be the radius on the incircle of tri ABC and a,b,c be the radii of the excircles opposite vertices A, B, and C, respectively. Ilustrate the fact that 1/r = 1/a + 1/b + 1/c. Also, write a proof of this.
Quadratic equations may be solved by graphing, using the quadratic formula, completing the square, and factoring. What are the pros and cons of each of these methods, when are they appropriate and which method is your preference?
The outside of a picture frame measures 19in by 10in. 56in^2 of the picture shows. find the thickness.
Fischer and Spassky play a sudden-death chess match whereby the first player to win a game wins the match. Each game is won by Fischer with probability p, by Spassky with probability q, and is a draw with probability 1 - p - q.
An integer is called squarefree if it is not divisible by the square of a positive integer greater than 1. Find the number of squarefree positive integers less than 100.
Find the point of intersection of each pair of lines.
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