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A large koi pond is filled with a garden hose at a rate of 10 gallons per minute. After 5 minutes the pond has 475 gallons of water. Find a linear equation that models the number of gallons y of water in the pond after t minutes.
Use this formula to find how many terms are needed to estimate with an error less than .
Find the amount of work in joules required to empty the trough by pumping the water over the top. (Note: Use as the acceleration due to gravity.)
Forty feet of fencing are to enclose three sides of a rectangular patio. The fourth side of the patio is a side of the house, and requires no fencing.
A car is traveling at 100 km/h when the driver sees an accident 80 m ahead and slams on the brakes. What constant deceleration is required to stop the car in time to avoid a pileup?
What is the probability that at least one inspector will find a defective widget?
Show that if a>0, then the convergence of the function nx/(1+n^2 x^2) is uniform on the interval [a,infinity), but is not uniform on the interval [0,infinity).
Prove that if a series of complex numbers sum (c_n) converges to s, then sum (c_n) is Cesaro summable to s.
The inflation rate for Britain is 6.8. Use the least squares line to estimate Britain's independence rating.
For the right triangle, find the side length x. Round answer to nearest tenth.
In what range of values do the proportions p from 95% of all samples fall? (c) In what range of values do the proportions p from 99.7% of all samples fall?
A wheel of radius 2 feet begins moving down a ramp of height 6 and length 24 feet , turning at 23 revolutions per minute clockwise as it does. At time t = 0 the point P on the wheel is at [0, 6]
What is the probability that among the 12 months of the year there are 3 non necessarily consecutive months containing exactly 4 birthdays?
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