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A mountaineer leaves home at 7am and walks to the top of the mountain, arriving at 7pm. The following morning, he starts out at 7am from the top of the mountain and takes the same path back, arriving home at 7pm. Use the IVT to show that there is a point on the path that he will cross at exactly the same time of day on both days.
A metal storage tank with volume 9π is to be constructed in the shape of a right circular cylinder surrounded by a hemisphere. What dimensions will require the least amount of metal?
Final exam scores in a mathematics course are normally distributed with a mean of 66 and a standard deviation of 8. Based on the above information and a Z-table, fill in the blanks.
nbspminhs data shows that on average only 4.6 of customers were purchasing complementary services available within
A Norman window has the shape of a square with a semicircle mounted on it. Find the width of the window if the total area of the square and the semicircle is to be 200ft.
a rectangular field is five times as long as it is wide. if the perimiter of the field is 480yards, what are the field's dimensions?
Each page of a book will contain 30in^2 of print, and each page must have 2-in margins at top and bottom and a 1-in. margin at each side.
Write a program that multiplies 2 (n,m) matrices. Each element in the resulting matrix must be create by a separate thread. Print the matrix after the multiplication is done.
If you have 280 meters of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?
Find the vertices of the rectangle with maximum area.
the lengths of the sides of a triangle are 5, 6, and 7. if the perimeter of a similar triangle is 36, what is the length of the shortest side of the similar triangle?
Explain the difference between mutually exclusive and independent events. Can a pair of events be both mutually exclusive and independent? Give examples.
The instructor wants to award the grade of A to the upper 10 percent of the test grades. What is the dividing point between an A and a B grade?
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