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The dimensions of a rectangle are such that its length is 5 in more than its width. If the length were doubled and if the width were decreased by 2 in., the area would be increased by 52 in squared. What are the length and width of the rectangle?
Here, q is the fraction of children with annual household income x thousand dollars who will attend a live dramatic performance at a theater during the year. Compute the income elasticity of demand E at an income level of $20,000. (Round your answ..
find the length of each side of a triangle if the perimeter is 73 inches. The length of the second side is twice the length of the first side and the lenght of the third side is five more than the length of the first side.
The book cost (in dollars) for one semester's books are given below for a sample of five college students. Calculate the sample variance of the book costs.
Write a letter to Marcus explaining whether or not he will be receiving a certificate. Include a brief summary of your statistical analysis in your letter.
the runners are running on circular tracks of which has a circumference of 1320 feet. the tracks are 100 feet apart and and the runners start opposite each other and move at the same constant rate of 880 ft/min. how fast are the runners separating..
The cost C to produce x number of tennis rackets is The tennis rackets are sold wholesale for each, so revenue R is given by Find how many tennis rackets the manufacturer needs to produce and sell to break even.
If a ball is thrown into the air with a velocity of 40ft/s, its height in feet after "t" seconds is given by y = 40t-16t^2. a) Find the average velocity for the time period beginning when t=2 and lasting
Find the slope of the line that passes through the points (3, -5) and (-4, -6). Find the equation in slope-intercept form, of the line that passes through the points (3, 6) and (-7, -3); write equation in slope-intercept form.
Find the angle between the diagonal of a cube of side length 3 and the diagonal of one of its faces. The angle should be measured in radians.
establish the method of Lagrange multipliers in the case where we wish to find the extreme values of F(x,y,z) subject to the two constraint conditions G(x,y,z)=0, H(x,y,z)=0
An automobile manufacturer produces 7 models, each available in 6 different exterior colors, with 4 different upholstery fabrics and 5 interior colors. How many varieties of automobiles are available?
A 65 foot rope hangs from the top of a pole. When pulled taut to its fullest length the rope reaches a point on the ground 30 feet from the base of the pole. Find the height of the pole to the nearest tenth of a foot. Let p equal the height of the..
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