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A football is punted at a 50 degree angle and a linear velocity of 20 meters per second. What is its horizontal velocity? What is its vertical velocity?
a statistics teacher plans classes so carefully that the lengths of her classes are uniformly distributed between 45.0 and 55.0 minutes. Find the probability that a given class period runs less than 50.75 minutes.
Highway engineers design a parabolic curve for an entrance ramp from a straight street to an interstate highway . The vertex of the curve passes through (0, 0) and the parabola passes through (1000, + 800). Find an equation for the parabola.
How do you determine the number of turning points of a polynomial equation?
The volume of a cone varies jointly as the height and the square of the radius of the base. A cone height 8 cm and a base of diameter 9 cm has volume 54π. Find the constant of variation and use it to develop the general formula for the volume of a..
Consider an annuity-immediate with monthly payments for twenty years. The payments are level in the course of each year, then increase by 2% for the next year. Find the present value of this annuity if the initial payment is $1, 000 and i = 4%.
A square's side is increased by 3 yards, which corresponds to an increase in the area by 81 square yards. How many yards is the side of the initial square?
There are 410 feet of fencing available for the other three sides of the enclosure. Find the dimensions of the outdoor enclosure with the most area.
The strategy that maximizes the campus bookstore earnings.
In right triangle BCD, BD=12 m
A surveyor fins that a tree on the opposite bank of a river, flowing due east, has a bearing of N 22 degrees 30' E from a certain point and a bearing of N 15 degrees W from a point 400 feet downstream. Find the width of the river.
If a particular shipment of thousands of components actually has a 7% rate of defects, what is the probability that this whole shipment will be accepted?
Determine the volume of the solid of revolution formed when R is revolved about the x-axis. Use the washer method (and no other method) to dertermine the volume of the solid of revolution formed when R is revolved about the line x=7.
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