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a car traveling at 40ft per second decelerates at a constant 8ft per second squared. How many feet does the car travel before coming to a complete stop?
The half-life of plutonium-234 is 9 hours. If 70 milligrams is present now, how much will be present in 6 days? (Round your answer to three decimal places.)
a moving truck rental company has a total of 24 trucks in its lot. The trucks are either 4-wheelers or 18-wheelers. How many of each kind of truck does the company have if the total number of wheels is 138?
Find the solutions in the interval - Round terms to three decimal places where appropriate
A baseball diamond is a square with sides of length 90 ft. A batter hits the ball and runs toward first base with a speed of 20 ft/s.
Water is pumped out of a holding tank at a rate of 6- 6e-0.10t liters/minute, where t is in minutes since the pump is started. If the holding tank contains 1000 liters of water when the pump is started, how much water does it hold one hour later?
The market has an expected return of 12% and the risk-free rate is 4%. What is the alpha for the fad followers?
Three balls are to be randomly selected with replacement from an urn containing 20 balls numbered 1 through 20. If we bet that at least one of the drawn balls
Let W be the space spanned by f = sinx and g = cosx. Show that for any value of theta, f, = sin(x + theta) and g_1 = cos (x + theta) vectors in W.
So, it is desirable to design a system with a variable rate of rotation and a constant rate of movement of the scanning beam along the hallway. Find a model for the variable rate of rotation if |dx/dt| = 2 feet per second.
Let 'y' be the value of a house (in thousands of dollars), 'x' is the years after it is purchased. Some pairs of values are listed in the table below.
Find the value of the integral of g(z) around the circle |z - i| = 2 in the positive section when g(z) = 1/(z^2+4)
What similarities and differences do you see between functions and linear equations that you studied in Chapter 3? Are all linear equations functions?
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