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a trapezoid has an area of 80.75sq. in and its two bases are 7 and 12 inches long. find the height of the trapezoid.
What is the volume of the solid generated by rotating about the x -axis the plane region bounded by y = - x 2, y = 0, x = - 1, and x = 1?
A plane is heading due south with an airspeed of 227 mph. A wind from a direction of 60 degrees blowing at 16 mph. Find the bearing of the plane.
Between 12:00 Pm and 1:00 PM, Cars arrive at Citibank's drive-thru at the rate of 6 cars per hour. (0.1 car per minute) The following formula from statistics can be used to determine that a car will arrive within t minutes of 12:00 PM.
Suppose K is a conjugacy class of S_n (the symmetric group), with K consisting of even permutations. Suppose that x in K. Show that K splits into two conjugacy classes
Morris Leste, owner of Carlson Company, has three employees who earn $431, $503, and $738 per week. What are the total state and federal unemployment taxes that Morris owes for the first 12 weeks of the year and for week 30?
Prove that an interior angle bisector of any triangle divides the side of the triangle opposite the angle into segments proportional to the adjacent sides.
The input consists of two arrays each representing a set of integers (in each array, each value appears only once). The output is an array representing the union of the two sets - again, each value appears only once.
Find the equation of the line normal to the curve of y= 2 cos (1/2)x, where x=pi. Write the expression using x as a variable. Write the exact answer in terms of pi.
Using LOGARITHMS, find the area of the following triangles : a = 12.7, b = 21.5, and c = 28.6
Find the maximum height of ball using given equation - Use the formula to determine how long it takes the ball to return to the earth.
a bank gives you a loan of 1000 now. You have to make a payment of 500 after 9 months and a payment of 600 after 12 months. What is effective annual interest rate?(set up equation for B(beta)
Perform the appropriate analysis and state the conclusions
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