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A bag contains $780 in nickels, dimes, and quarters. Of the total number of coins in the bag, 10 percent are dimes, 20 percent are nickels, and the rest are quarters. If there are 400 dimes in the bag, how much does the bag weigh?
distance of 3600 km against the wind the return trip takes 4 hours with the wind What is the rate of the plane in still air and what is the rate of the wind?
The line y = 0.15x + 0.79 represents an estimate of the average cost of gasoline each year. The line 0.11x -y =-0.85 estimates the price of gasoline in January of each year.
Rita has a collection of 108 coins consisting of nickels, dimes, and quarters. The number of dimes is 4 more than one-third the number of nickels, and the number of quarters is twice the number of dimes. How many coins of each kind does she have?
Identification of the Slope, y-intercept, and x-intercept of the given equation
Let f (x) = |x| for x greater or equal to -1, less than or equal to +1. Write the Fourier series for f (x) on [-1,1]. Show that this series can be differentiated term by term to yield the Fourier expansion of f'(x) on [-1,1]
Show that if R is a ring with identity element and x is an element in R, then Rx = {rx: r in R} is the principal left ideal generated by x. Similarly,
A ball is thrown directly downward with an initial velocity of 8 m/s from a height of 30 m.
Using the parametric equations x=3cost, y=3sint, 0≤t≤pi/2, find the surface area of the solid generated when y is rotated about the x axis.
The radius of a circular disk is given as 26cm with a maximum error in measurement of 0.2cm. Use differentials to estimate the maximum possible error in the calculated area of the disk.
What is the bound of a confidence interval with a width of 13? Report your answer to two decimal place.
What is the probability that Urn 1 was chosen, if it is known that a yellow marble was drawn?
give the definition for a cauchy sequence of real numbers, prove that every convergent sequence is a cauchy sequence.
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