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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?
A trapezoid with bases 4 m and 8 m is partially submerged vertically in water so that the top is 1 m above the surface and the bottom is 1 m below the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate..
In triangle ABC, a = 8, b = 9, and m<C = 135 degree. What is the area of triangle ABC?
find the number of revolutions made by a wheel with a radius of 5ft that traveled 633ft use 3.14 for pie round answer to nearest tenth of revolution.
Probability: Moment Generating Functions and Poisson Process Let X be a discrete random variable with probability mass function Pr {X=k} = c(1+ k^2) for k= -2, -1, 0, 1, 2.
Use Euler's method with step size 0.5 to compute the approximate y-values y1,y2,y3, and y4 of the solution of the initial-value problem y'= -2 + 2x - 4y, y(0)= -3
Using x as the variable, write a formula to find the perimeter of the figure. use the formula to find the perimeter a regular dodecagon; one side 9.25 cm
A uniform boom AC, 4m long and weighing 50 N is smoothly hinged at C and is supported at A by a rope AB. Find the tension in the rope and the size and direction of the reaction at C.
The region R is bounded by the graphs of x-2y = 3 and x=y^2. Set up (but not evaluate) the integral that gives the volume of the solid obtained by rotating R around the line x=-1.
Use the gemerators and relations for D(sub2n)= to show that if x is any element of D2n, that is not a power of r, then rx=xr^-1.
$5900 is invested, part of it at 11% and part of it at 7%. for a certain year, the total yield is $537.00. How much was invested at each rate?
Show that the functions x and x^2 are orthogonal in P5 with inner product defined by ( =sum from i=1 to n of p(xi)*q*(xi) ) where xi=(i-3)/2 for i=1,...,5.
Amy paid $81.11 for a pair of shoes during a 40% off sale. What was the original price?
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