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The length of a rectangle is 11 ft less than three times the width, and the area of the rectangle is 70ft^2. Find the dimensions of the rectangle.
Eve said to Adam, "If you give me one dollar, then we will have the same amount of money." Adam then replied, "Eve, if you give me one dollar I will have double the amount of money you are left with." How much does each have?
For each positive integer n, let Sn denote the total number of squares in an n×n square grid. Thus, S1 = 1 and S2 = 5, because a 2 × 2 square grid has four 1 × 1 squares and one 2 × 2 square. Find a recurrence relation for Sn
Can you prove that limx→1 x = 1 using the ε, δ definition of a limit? Find the domain of the function √x + log(3 - x). Find a formula for the inverse of the function f(x) = 23^x. What is the domain of f-1
define the term linear inequality, then explain what it means to solve a linear inequality. Explain how the solution to the inequality 2x-5
Find the formula of the volume of a cylinder using the following variables: V = volume, h = height, r = radius. Find the volume to the nearest tenth of a cylinder with radius 4 cm and height 15.92 cm.
Describe all terms used as well as listing the steps and Show how the Pythagorean theorem helps to find distances in 2 and 3 dimensions.
A rectangular region is enclosed on all four sides with 45 feet of fencing. If the width is one half the length, find the area of the region.
A roller of radius (r) 300mm and weighing 2000N is to be pulled over a curb of height 150 mm by a horizontal force P applied to the end of a string would tightly around the circumstances of the roller moving over the curb. Find the magnitude P req..
A company claims that its battery has a mean life of 65 months. A consumer protection agency tested 15 batteries and found the mean 63 months with a standard deviation of 2 months. The life such a battery has approximately normal distribution. Ass..
Two tracking stations are on the equator 148 miles apart. A weather balloon is located on a bearing of N 32°E from the western station and on a bearing of N 20°E from the eastern station. How far is the balloon from the western station? Round to t..
Find the self-adjoint form of the differential equation - Show that if um and un are eigenfunctions corresponding to distinct eigenvalues of the problem.
A ranger in fire tower A spots a fire at a direction of 295 degrees. A ranger in fire tower B, located 45 miles at a direction of 45 degrees from tower A, spots the same fire at direction of 255 degrees.
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