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If an object is propelled upward from a height of 96 feet at an initial velocity of 80 feet per second, then its height after t seconds is given by the equation h = -16t2 + 80t + 96 where h is in feet. After how many seconds will the object reach a height of 196 feet?
After t hours on the job, one factory worker is producing Q'1(t) = 60 - 2(t - 1)^2 units per hour, while a second worker is producing Q'2(t) = 50 - 5t units per hour.
on Saturday a local hamburger shop sold a combined total of 364 hamburgers and cheeseburger. The number of cheeseburgers were sold were three times the numbers of hamburgers sold. How many hamburgers were sold on Saturday.
The length of a rectangular garden is 8 feet longer than its width. If the garden's perimeter is 208 feet, what is the area of the garden in square feet?
On notebook paper, construct a rectangle that covers more than half the area of the paper AND the ratio of the width and length simplifies to a rational number that is a close approximation of the "golden ratio". State the dimensions of the rectan..
At the scene of an accident, police measured a skid mark of 361 feet. About how many miles per hour was the car traveling when the brakes were applied?
a 13 foot ladder leans against a house. the ladder hits the house at 12 feet above the ground. what is the distance from the ladder to the house?
A rectangular region is enclosed on all four sides with 45 feet of fencing. If the width is one half the length, find the area of the region.
An airplane is flying on a bearing of 265 degrees at 420 kmph. A wind is blowing with a bearing of 170 degrees at 20 mph. Find the actual speed and direction of the plane.
A poster is to have an area of 160 in2 with 1 inch margins at the bottom and sides and a 3 inch margin at the top. What dimensions will give the largest printed area?
Find the Fourier series expansions of f(x) = Co + C1x^2 with respect to the following two orthonormal bases on the interval [0,L] (L>0)
A conducting loop in the shape of a square of edge length 12cm carries a current of 15A. A) calculate the magnitude and direction of the magnetic field at the center of the loop. B) Calculate the magnetic field at the center if the same wire is fo..
Calculate the probability assuming a fair die is thrown twelve times.
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