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Let α be an irrational number with continued fraction expansion [α0, α1, ...]. Show that the continued fraction expansion of -α is
Let A and B be subsets of a universal set U and suppose n(U) = 360, n(A) = 140, n(B) = 70, and n(A B) = 40. Find the number of elements in the set.
at its closest point, mars is 128.5 million miles from the sun. at its farthest point, mars is 155.0 million miles from the sun. write an equation for the orbit of mars. assume that the center of the orbit is the origin, the sun lies on the x-axis..
Calculate the line integral of F from P_0 at (1,0,0) to P_1 at (-1,0,0) along the direct line path joining these points. Calculate the line integral of F from P_0 at (1,0,0) to P_1 at (-1,0,0) along the horizontal semicircular path joining these poi..
The EPA wants to test whether the data support the conclusion that the mean level is less than 15 ppb. Calculate the appropriate test statistic to test the hypotheses.
an investment of $12000 is deposited into two simple interest accounts. On one account, the annual simple interest rate is 7.8%. On the other, the annual simple interest rate is 9%. The total interest earned for one year is $1020. How much was inv..
Two tugboats are pulling a disabled speedboat into port with forces of 1240 pounds and 1480 pounds. The angle between these forces is 28.2 degrees. Find the direction and magnitude of the equilibrant.
The Tempcontrol company has a container that reduces the temperature of a liquid from 200 f to 110 f in 25 minutes by maintaining a constant temperature of 60 F.
The speed of a passenger train is 18 mph fasster than the speed of a freight train. The passenger train travels 280 miles in the same time it takes the freight train to travel 190 miles. Find the speed of each train.
Bayside insurance offers two plans.under plan A G would have to pay the first $70 of her medical bills plus40% of the rest. under plan b G would pay the first $240 but only 35% of the rest
Write an equation that can be used to determine the total weight of all the newspapers Sam has bundled.
Kinetic energy varies jointly as the mass and the square of the velocity. A certain body has a mass of 5 grams and an energy of 40 joules at a velocity of 4 meters per second. What is the velocity of the body when its energy is 90 joules?
A closed rectangular container with a square base is to have a surface area of 150inches squared. Find the maximum possible volume of such a box.
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