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1. The coefficient of x^7y^2 in the expansion of (2x-y)^9
2. How many subsets of {2,3,5,7,11, 13, 17,19,23) contain four numbers?
3. If a committee varies its meeting days, how many meetings must it schedule before we can guarantee that at least two meetings will be held on the same day of the week??
4. How many different 4 -person delegations can be found from a group of 12 people??
5. In how many different ways can 10 quarters be distributed to 5 people?
find the value of f 0 g 0 and then find a general formula for the composite function f o g. after having found the
Let R be a ring with the property that every element is either nilpotent or invertible. If a, b, c are in R with a and b nilpotent, show that ac, ca, and a + b are nilpotent.
write the standard form of the equation of the circle with the given center and
In 2000, the average cost of tuition and fees at public four- year colleges was $3500, and in 2005 it was $5100. The supporting information is listed below. Note that the known value for 2001 is $3700.
patricia had less than 9 to spend when she went to the grocery store. she bought 1 pound of tomatoes and wanted to
Using this equation with weight vector w=(1/4,1/2,1/4)^t to define an inner product for R^3 and let x=(1,1,1)^T and y=(-5,1,3)^T
Make a graph for the equation.
you have just graduated college and landed your first big job. you have decided to set up your retirement into a roth
Plot the points and determine the slope of the line containing them. Graph Line. (-3,-7) (2,-7). For the intercepts and use them to graph equation 6x+2y=12.
Solve each system addition method. Determine whether the equations are independent, dependent, or inconsistent.
Calculate the future value of the investment. You must use the advertised interest rate, the number of compounding periods per year, and the time the funds will be invested.
Let's say you are a hospital dietician. A patient must have at least 165 milligrams and no more than 330 milligrams of cholesterol per day from a diet of eggs and meat.
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