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In an election between two candidates, 530 votes were cast. If the winner received 210 more votes than the loser, how many votes did the loser receive?
The componets of v=180i+450j represent the respective number of one-day and three day videos rented from a video store. the componets of w=3i+2j represent the prices to rent the one day and three day videos,respectively
Find the height and radius of the largest right circular cylinder that can be out into a sphere of radius (square root of 3).
one train travels 392 miles and 20 mph faster in the same time another train travels 322 miles. What is the speed of each train?
A geometric progression has first term log_2 27 and common ratio log_2 y, find the set of values of y for which the geometric progression has a sum to infinity.
What is the volume in Cubic Yards of a linear pile of dirt with the dimensions of 182 foot long by 20 foot wide by 7 foot tall with a slope of 13 feet?
Find an equation of the tangent plane to the parametric surface x=-2rcos(theta), y=-3rsin(theta), z=r at the point (-2sqrt(2),-3sqrt(2),2) where r=2, theta=pi/4
It take the same plane 5 1/3 hours to fly 480 miles against the wind. What is the speed of the airplane in still air and what is the wind speed
During the first part of a trip a canoeist travels 62 miles at a certain speed. The canoeist travels 17 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 4 hrs. What was the speed on each part of the trip..
Use the central limit theorem to find the probability that the average number of moths in 40 traps is greater than 0.6. Give your answer to four decimal places.
A golf bag contains 6 white balls and 8 yellow balls. What is the probability of each event?
Please solve for the following: Find a particular solution to, Solve: A Second Order ODE y'' + 5y' +4y = -13te^(3t)
Chemist has 400ml of solution of which 80% is alcohol. How much water needs to be added to dilute solution to 50% alcohol? Please provide step by step breakdown so I can understand how this is solved.
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