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on three consecutive passes a football team gain 9 yard, loses 15 yards and gain 25 yards. what number represents the total net yardage.
compute the set of positive divisors of gcd(a, b), and compare the two sets. Once you think you see a pattern, state a conjecture and try to prove it.
With a yearly inflation rate of 7%, prices are given by P=p(1.05)^t, where p is the price in dollars when t=0 and t is the time in years. Suppose p=1. How fast (in cents/ year) are prices rising when t=12?
John can rinse 70 of them in minutes by himself. It will take his friend Bob 105 minutes to rinse these dishes. How long will it take them if they rinse these 630 dishes together?
Prove the Second Isomorphism Theorem: If A is an ideal of R and S is a subring of R, then S+A is a subring, A, and (S intersecting A) are ideals of S+A and S, respectively, and (S+A)/A isomorphic to A/(S intersecting A).
Water flows in a 400mm diameter drain to a depth of 150mm. Calculate the wetted perimeter of the drain and the cross sectional area of the water
Show that log(r), where this is log base 10, is irrational when r is a positive rational that is not an integral power of 10
the resident population of south california (in thousands) was 3860 in 1997 and 4107 in 2002 .let t equal 7 represent 1997. write linear model for the population as afunction of time t.
from a boat on the lake, the angle of evelvation to the top of a cliff is 29 degrees and 26 minutes. if the base of the cliff is 1878 feet from the boat, how high is the cliff?
A rectangular pot of ground measuring 12 meters by 20 meters is surrounded by a sidewalk of uniform width. The area of the sidewalk is 68 square meters. Find the width of the sidewalk.
The mean number of hours a month that a certain group of video gamers playes online was 240. If the distribution of hours can be closely approximated by a normal curve with a standard deviation of 20 hours, what is the percentage of gamers who pla..
When are the Poisson and negative exponential distributions used and What are the advantages and limitations of simulation models?
Use the disk method to find the volume of the solid of revolution formed by revolving the region about the x-axis. Solid region is a semi circle from 0,4 to 16,0 find the solid amount between 5,0 and 6,0
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