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A spherical balloon is in?ated with gas at the rate of 256 cubic feet per second. Assuming the gas pressure remains constant, how fast is the radius of the balloon changing at the instant when the radius is 3 feet?
You purchase an investment that promises to quadruple your money in 24 months. Interest will be compounded quarterly. If you purchase this investment, what rate per quarter would you earn?
The following model is proposed to describe population growth in a confined space. The excess of births over natural deaths causes a growth rate of a times the current number of individuals N.
Let V be a circle lying in S. Then there is a unique plane P in R^3 such that p / S = V ( / = intersection). Recall from analytuc geomerty that
Explain in your own words how the principle of square roots is used to solve quadratic equations. What form must a quadratic equation be in to use the principle of square roots for solving? Demonstrate the process with your own example.
A kite is 220 feet long from the kite to the ground. The string makes a 45 degree angle with the ground. About how high off the ground is the kite?
Find the average value of the function in the given region. The average value of f(x)=1/x over [1,10] is______.
A bag contains 8 black balls and 6 white balls. Two balls are drawn out at random, one after the other without replacement. calculate the probabilities that The second ball is black
explain why applying a vertical and then a horizontal translation produces the same result as appying a horizontal translation and then a vertical translation.
The cost of renting a truck is $230 per week plus a charge of $0.50 per mile driven. Write a linear equation that relates the cost C for a weekly rental in which the truck is driven x miles.
How many six-digit even numbers less than 200,000 can be formed using all the digits 1, 1, 2, 2, 3 and 5? How many permutations of the letters in the name ABBA are there?
Give a sketch of the graph of the function V(t). Your graph can be a "rough draft" and evaluate the value of the fax machine in years 0, 1 and 4. to the nearest tenth.
The form of augmented matrices.
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