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The difference between the tenth term and the seventh term of an arithmetic sequenceis -60. The twelfth term divided by the sixth term is 2. Find the first term and the common difference.
find the rate at which the water is leaking out if the water level is falling at the rate of 0.1 meter per hour.
A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
The tourist attraction is located at the intersection of the two exit roads. Find the distance to the tourist attraction from the highway, along both routes.
in 2002 approximately 5 exabytes of information were generated by the worldwide population of 6.3 billion people. given that 1 exabyte is 10^12 megabytes find the average number of megabytes of information generated per persona in 2002.
two friends leave 2.1 miles apart along the same road. If they walk toward each other at rates that differ by .5mph and meet 36 minutes later, how fast is each person walking?
The distance, D, in miles, that you can drive on $1 worth of gas as a function of the cost, g, in dollars, of a gallon of gas can be modeled by the power function: D(g) = 22.02g^-1.02
Determine the fourier series for the function:- F(x) = 2x in the range -pi to pi and are periodic the the period 2pi. Sketch both the expected and fourier series graphs and use mathcad to check
Define and provide an example of linear equation in three variables. Does the given linear equation in three variables have a solution? Define a system of nonlinear equations. Provide an example with your description
find the volume of one of the smaller wedges cut from a sphere of radius 27 by two planes that intersect along a diameter at an angle of pi/6.
How many rectangles are there in a line of fifteen squares where sides are lined up with the adjacent sides touching the entire length of the side?
Kelly invested $1,500 in the stock market on January 1. She lost 1/3 of it by the end of January and 2/5 of the remaining amount by the end of February. How much did she have left?
A rancher with 800 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle.
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