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There is a line through the origin that divides the region bounded by the parabola y = 3 x - 8 x^2 and the x-axis into two regions with equal area. What is the slope of that line?
a 13 foot ladder leans against a house. the ladder hits the house at 12 feet above the ground. what is the distance from the ladder to the house?
How many different 4-card hands are possible? How many different 4-card hands contain a number less than 7?
Determine the nature of the solutions of the equation. x^2-10=0. Choose the correct nature of the solutions of the equation. Is it a) 1 real solution; b) 2 imaginary solutions; or c) 2 real solutions.
Examine several newspapers and magazines and describe at least 3 examples of functions that you find. What is the domain and range of each function?
Chuck travels 88 miles in the same time that Dana travels 78 miles. If Chuck's rate of travel is 5 mph more than Dana's, and they travel the same length of time, at what speed does Chuck travel?
Set up different integrals to find the mass of the solid bounded by the equations z=8-2x, z=0, y=0, y=3 and x=0. the density of the solid at (x,y,z) is d(x,y,z)=kx, k>0. evaluate ONE of the integrals.
what is the distance between the origin and the point (5,-19)? if necessary, round your answers to two decimal places.
In your own words, explain the process of multiplying and dividing polynomial. How are they similar? Why is adding and subtracting polynomials so different?
Find the equation of the circle with center at the intersection of 4x + y - 4 = 0 and x - y - 6 = 0 and passing through (-1, -3). What is the equation of the circle passing through (12, 1) & (2, -3) and having its center on the line 2x - 5y + 10 = 0..
Assuming that the results of a preliminary survey are not available. What is the most conservative estimate of the sample size that would limit the margin of error to within 0.05 of the population proportion for a 95% confidence interval?
Decompose 6i-3j-6k into vectors parallel and perpendicular to following vectors.
a manufacturer can produce cassette tape records at a cost of $40 a piece,its estimates that if the tape records are sold for p dollar a piece.consumer will buy 120-p of them a month , express the manufacturers monthly profit as a function of pric..
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