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1. A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.2 cm/min. At what rate is the volume of the snowball decreasing when the radius is 14 cm. (Note the answer is a positive number)
2. A company selling widgets has found that the number of items sold, x, depends upon the price, p at which they're sold, according the equation x=50000√5p+1
Due to inflation and increasing health benefit costs, the company has been increasing the price by $2 per month. Find the rate at which revenue is changing when the company is selling widgets at $260 each.
Solve by absolute value equation and Solve by factoring and use the zero product principle.
A political discussion group consists of five Democrats and six Republicans. Four people are selected to attend a conference. 1. In how many ways can four people be selected from this group of eleven?
the following data are from an experiment comparing three different treatment conditions a 0 2 1 5 2 b 1 5 2 4 8 c 2 5
The dimensions of a rectangle are such that its length is 7 in more than its width. If the length were doubled and if the width were decreased by 3 in, the area would be increased by 114 in^2. what are the length and width of the rectangle?
Write the general solution of 10x1 - 3x2 - 2x3 = 7
1. in a study of fraternal twins of different genders researchers measured the heights of each twin. the data show that
A company's records indicate that on any given day, 1% of their day shift employees and 2% of the night shift employees will miss work. Sixty percent of the employees work the day shift.
Let y= f(x) be a function with domain (-3,8) and range of (-4, 8). Find the domain D and range R for the new function g(x) given below. g(x)= -2f(7x)+3
Assume that n is a positive integer. Use the proof by contradiction method to prove: If 7n + 4 is an even integer then n is an even integer.
Show that if for each i, the point p is a deformation retract of an open set W_i of X_i, then the fundamental group of X is the external free product of the groups pi_1(X_i, p) relative to the monomorphisms induced by inclusion.
on a centimeter dot array, draw all possible rectangles with an area of 16 sq cm and sides whose lengths are whole centimeters. label the lengths of two adjacent sides of each rectangle.
Use the values a = 5, b = 0, c = 0, d = 4, e = –1, and f = –2 to rewrite the standard from for a conic section
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