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the area of a rectangle is 991cm squared if 991 is a prime number, what are the whole number dimensions of the rectangle?
Carmela opened her piggy bank and found she had $15.30. If she had only nickels, dimes, quarters, and half-dollars and an equal number of coins of each kind, how many coins in all did she have?
Let X be given the co-finite topology. Suppose that X is a infinite set. Is X Hausdorff? Should compact subsets of X be closed? What are compact subsets of X?
A man rows a boat 420 feet upstream against a constant current in 14 minutes. He then rows 350 feet downstream (with the same current) in 7 minutes. Find the speed of the current and the equivalent rate at which he can row in still water. Find spe..
Consider the recurrence relation an = 3an-1 + 5n. (a) Write the associated homogeneous recurrence relation. (b) Find the general solution to the associated homogeneous recurrence relation. (c) Find a particular solution to the given recurrence rel..
Write a program for the arithmetic (negation of an integer, addition, subtraction and multiplication of two integers) of integers using 3's complement representation.
The amount of oil used by a ship traveling at a uniform speed varies jointly with the distance and the square of the speed. If the ship uses 200 barrels of oil in traveling 500 miles at 28 miles per hour, determine how many barrels of oil are used..
In this case, what is the optimal mix of frames that Ryan should produce, and what is the profit associated with this mix?
The surface area of this pyramid is 189cm squared.The area of the square base is 49cm squared. What is the area of one triangular face of the lateral surface? Show the steps of your solution and explain your work.
Norht Ave. is 24 feet wide when it ends at Main st. A 40 ft. diagonal crosswalk allows people to cross main st. to or from either corner of Norht ave. What is the width of Main st?
The electrical signal created by a piece of test equipment at a specific point in time is described by the function Vinst(t) = 12 × sin(360 × 60 × 6.3 + 79). What is the maximum voltage produced by the system.
A 240 horsepower car beginning at a stop goes 1/10 of a mile. At optimum performance, what is the maximum speed in miles per hour the car can reach? Feet per minute?
We will take steps to find the tangent line to the graph of f at the general point (x,f(x)), and use it to find a tangent line with a specific property.
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