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A sheet of metal 144 inches long and 16 inches wide, is to be turned up at both sides to make a horizontal gutter with vertical sides. How many inches should be turned up at each side for a maximum carrying capacity?
Probability Let A and B be two mutually exclusive events of a sample space S. If P(A) = 0.6 and P(B) = 0.2, find each of the following probabilities of
What is the unpaid balance at the end of the 6th year? Show the formula that you used and the values used for each variable to calculate the unpaid balance at the end of the 6th year.
A poster is to have a total area of 584 square inches with 4-inch margins at the bottom and top and a 3-inch margin at each side. What dimensions of a poster will give the largest printed area?
Find the average value of the function f(x) = cos^3x on the interval 0
the aera of a rectangular wall in a classroom is 126 square feet. it lenght is 3 feet shorter than three times its width. find the length of the wall of the classroom.
Let a be the permutation (1 2 3) in A_4. What is the order of the element (3, 7, a) in the group U(10) direct product Z_42 direct product A_4.
Define an intercept in a parabolic graph. What are the number(s) of intercepts a quadratic graph may have? Explain your answer/ diagram etc. How do you compute the intercepts in a quadratic function?
For this problem please state the method you used and show the work required to obtain the answer. Find the general solution for each of the systems:
Find the equation of the regression line. Graph the line . Determine the slope and y-intercept of the regression line.
Find the rate at which water is draining from the tank after the following amounts of time. (Remember that the rate must be negative because the amount of water in the tank is decreasing.)
Amanda's grandmother made a quilt for Amanda's bed. The quilt was made of 9 squares. Each square was 2ft. wide. How wide was Amanda's quilt?
Find each of the following for the given inner product defined in R^2 =3u(subscript 1)v(subscript 1) + u(subscript 2)v(subscript 2)
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