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Get college assignment help at uniessay writers The trough in the figure below, which has isosceles trapezoids as its vertical ends, is filled with a corn syrup whose density is 95 lb/ft3. Calculate the fluid force on one of the slanted sides of the trough, where a = 5, b = 7, h = 2 and d = 8.

One event at this year’s Battle of the Classes will be a pie-eating contest between the sophomores, juniors, and seniors. Five members of each class will be positioned on the football field at the points indicated at right. At the whistle, one student from each class will run to the pie table, eat exactly one pie, and run back to his or her group. The next student will then repeat the process. The first class to eat five pies and return to home base will be the winner of the pie-eating contest. Where should the pie table be located so that it will be a fair contest? Describe how the contest planners should find that point

Let a_n equal the number of ternary strings of length n made up of 0s, 1s, and 2s, such that the substrings 00, 01, 10, and 11 never occur. Prove that a_n= a_(n-1) 〖2a〗_(n-2) ,(n ≥2),

the perimeter of a basketball court is 276 ft. the length is 42 ft longer than the width. Find the demensions of the court.

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The upper right-hand corner of a piece of paper, 12 in. length by 8 in. wide, as in the figure, is folded over to the bottom edge. How would you fold it so as to minimize the length of the fold? In other words, how would you choose x to minimize y?

A trough is 5 meters long, 2 meters wide, and 2 meters deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 2 meters, and base, on top, of length 2 meters). The trough is full of water (density 1000kgm3 ). Find the amount of work in joules required to empty the trough by pumping the water over the top. (Note: Use g=98ms2 as the acceleration due to gravity.)

prove that the sum of the squares of the lengths of the three medians of any triangle is equal to three-fourths the sum of the squares of the lengths of the three sides.

A trough is 5 meters long, 2.5 meters wide, and 3 meters deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 3 meters, and base, on top, of length 2.5 meters). The trough is full of water (density 1000 kg/m^3 ). Find the amount of work in joules required to empty the trough by pumping the water over the top. (Note: Use g=9.8 m/s^2 as the acceleration due to gravity.)

I computed a 95%confidence interval for the mean lifetime of a set of tires as (37,000,42,000). Based on this interval, I know A.the margin of error is 2500miles B. The sample mean is 39,000 miles

Get college assignment help at uniessay writers Casey noticed a pattern with the diagonals of each generic rectangle. Can you figure out what the two diagonals have in common?

A plane flying with a constant speed of km/min passes over a ground radar station at an altitude of km and climbs at an angle of degrees. At what rate, in km/min is the distance from the plane to the radar station increasing minutes later?

Find the mass and center of mass of a wire in the shape of the helix x = t, y = cos(t), z = sin(t), 0 ≤ t ≤ 2π, if the density at any point is equal to the square of the distance from the o

Chuck recives loans totaling $12000 from two banks. one bank charges 7.5% annual interest, and the second bank charges 6% annual interest. he paid $840 in total interest in one year. how much was loaned at each bank?

altitude of mountain climber 4572 meters. altitude of submarine commander -609 meters. What is the difference in these altitudes?

A rock is dropped from a height of 576 ft and falls toward earth in a straight line. In t seconds the rock drops a distance of s=16t^2 ft. What is the average velocity of the rock during the time it is falling?

If an open box has a square base and a volume of 117 in.^3 and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction.

A farmer wants to fence an area of 37.5 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. How can he do this so as to minimize the cost of the fence?

For what values of the numbers a and b does the function below have maximum value f(1) = 2? (Round the answers to three decimal places.) f(x) = axe^(b(x^2))

A trough is 2 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of y=x10 from x=–1 to x=1 . The trough is full of water. Find the amount of work in foot-pounds required to empty the trough by pumping the water over the top. Note: The weight of water is 62 pounds per cubic foot.

You go to the doctor and he gives you 14 milligrams of radioactive dye. After 24 minutes, 6.5 milligrams of dye remain in your system. To leave the doctors office, you must pass through a radiation detector without sounding the alarm. If the detector will sound the alarm if more than 2 milligrams of the dye are in your system, how long will your visit to the doctor take, assuming you were given the dye as soon as you arrived? Give your answer to the nearest minute.

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November 3, 2019