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A truck gets 1250/x kilometers per liter when driven at a constant speed of x kilimeter per hour (between 80km/h and 110km/h). If the price of the is $1 per liter and the driver is paid $8 per hour, at what speed between 80km/h and 100km/h is it the most economical to drive?
Escher style tessellation
Given the linear equation, find the y-coordinates of the points (-9, ), (0, ), and (9, ). Please show all of your work. Plot those points and graph the linear equation.
Find the solutions of the congruence 12x^2 + 25x = 10 (mod 11). [Hint: Show the congruence is equivalent to the congruence 12x^2 + 25x + 12 = 0 (mod 11).
Determine the slope-intercept form of the line with x-intercept = -8 and y-intercept = -16 i.e. the line passes through the points (-8, 0) and (0, -16).
A drug company believes that the annual demand for a drug will follow a normal random variable with a mean of 900 pounds and a standard deviation of 60 pounds.
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.
John has 20 more chocolate bars than Rick. Cathy has 5 times as many chocolate bars as John. If Rick has r chocolate bars, how many chocolate bars Cathy has, c?
The base of a triangle is 6 cm greater than the height. The area is 56 cm^2. Find the height and the length of the base.
How would you use the root or ratio test to determine the convergence or divergence of
Find the best predicted value of y corresponding to the given value of x. The regression equation relating attitude rating (x) and job performance rating (y) for the employees of a company is hat(y)=11.7+1.02x. Ten pairs of data were used to obtai..
what is the probability that there will be a collision? Round your answer to 4 decimal places. Remember to round all z values to two decimal places.
Suppose that Phi (f) is an isomorphism. Is f then an isomorphism? Alternatively, suppose that Phi (G) and Phi (G')
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