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A farmer plans to enclose a rectangular region, using part of his barn for one side and fencing for the other three sides. If the side parallel to the barn is to be twice the length of an adjacent side, and the area of the region is to be 162 ft2, how many feet of fencing should be purchased?
Band A charges $600 to play for the evening. Band B charges $350 plus $1.25 for each ticket sold. Write a linear equation for the cost of each band. Graph each equation and find the number of tickets for which the cost of two bands would be equal.
an evaluation of the following a chain furniture store faxes an order for 175 modern rocking chairs and 125 classic
the turtle never stopped for a break, but his pace was only 1 km hr. how long will the rabbit run before it catches the turtle?
A report states that 46% of home owners had a vegetable garden. How large a sample is needed to estimate the true proportion of home owners who have vegetable gardens to within 3% with 96% confidence?
Question about Probability and combinations, There are 5 rotten plums in a crate of 25 plums. How many samples of 4 of the 25 plums contain
find four consecutive odd integers where the product of the two smaller numbers is 64 less than the product of two larger numbers.
Find an equation for the hyperbola with the focus (11,12) and asymptotes 4x-3y=18 and 4x+3y=30. Find the arc length of the curve given by x = sin t - cos t, y = sin t + cos t, pi/1
Two trains leave stations miles apart at the same time and travel toward each other. One train travels at miles per hour while the other travels at miles per hour. How long will it take for the two trains to meet?
Control A certain machine that is used to manufacture screws produces a defect rate of .01. A random sample of 20 screws is selected. Find the probabilities that the sample contains the following
The angle of elevation of a balloon from an observer A is 30 degrees and from observer B, 45 degrees. If the distance between A and B is 800 + 800√3 meters, how high is the balloon?
In the example we modeled the world population in the second half of the 20th century by the equation.
Let R represent a county in the northern part of the united states, and let S(x,y) represent the annual snowfall at the point (x,y)in R. Give the interpretation of:
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