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Write a paragraph or two comparing and contrasting all methods of solving systems of linear equations with two variables. Explain which method you prefer and why. Support your answer by appropriate examples.
Let the sum from n=m to infinity of a_n be a series of real numbers converging to x, and let k be an integer. Then the sum from n=m+k to infinity of a_n-k also converges to x.
Describe all nonisomorphic central extensions of Z_2 x Z_2 by a cyclic group Z_n for arbitrary n, meaning central extensions of the form:
The percent concentration of a drug in the bloodstream x hours after administered is given by k(t)=t/(t^2+9). On what time interval is the concentration of the drug increasing?
A tank is full of wter. Find the work required to pump the water out of the outlet. Use the facts that water weighs 62.5 lb/ft3 and R=9ft. Round the answer to the nearest integer.
In a sample batch of 52 mechanical pencils it is assumed that 20 are defective. If 3 mechanical pencils are randomly selected, what is the probability that none of them are defective?
Suppose P(t) is the monthly payment, in dollars, on a mortgage which will take t years to pay off. What are the units of P'(t)? What is the practical meaning of P'(t)? What is its sign?
Complete the given ordered pairs so that each ordered pair satisfies the given equation. Determine the equation of each line. Write the answer in standard form using only integers as the coefficients.
How many new books of each type should be published to maximize the annual profit while conforming to company policy?
justin had $33 dollars before spending n dollars on jeans. How much money remains?
solve using inequality A car rental company has two rental rates. Rate 1 is $63 per day plus $0.18 per mile. Rate 2 is $126 per day plus $0.09 per mile. If you plan to rent for one week, how many miles would you need to drive to pay less by taking..
A jeweler has three small solid spheres made of silver, of radius 3 mm, 5 mm, and 3 mm. He decides to melt these down and make just one sphere out of them. What will the radius of this larger sphere be?
The angle of elevation to the top of a building from a point on the ground is 39 degrees. From a point 50 feet closer to the building, the angle of elevation is 45 degrees. What is the height of the building?
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