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Two identical spheres, moving in opposite directions, collide directly. As a result of the impact one of the spheres is brought to rest. The coefficient of restitution between the spheres is ½ . Show that the ratio of the speeds of the spheres before the impact is 3:1.
There were 5000 jackets manufactured. Customers returened 24. What percent of the jackets were retured?
Find the solution of the given linear equation - Evaluate the time and the height at which she opens her parachute.
the number of widgets sells can be modeled by -5p+100 where p is the price of a widget. Revenue from sales is the product of the price and the number sold. What price will maximize the revenue? What is the maximum revenue?
Profits during the third quarter for a particular department store were $1,500,000. The pie chart below gives the results. Of the profits earned, how much were from jewelry sales?
Use the first derivative test to locate and identify all relative extrema
MTH-163 Precalculus I: Expand or contract the expression using the properties of logarithms. Find the exact value without using a calculator. If this is not possible, state why not.
Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of r given the number of pairs of data n and the significance level alpha.
A number is divisible by 2 if the last digit is divisible by 2. A number is divisible by 4 if the last two digits form a number divisible by 4. A number is divisible by 8 if the last three digits for a number divisible by 8.
Consider the function f(x,y,z)= e^xy cos(x+z). What is the directional derivative for f at the point P(0, -pie/6, pie/3) in the direction u parallel to i - j + 2k
test each of the individual coefficients to see if they are significant. make a plot of the residuals and comment on whether they appear to follow a normal distribution. Plot the residuals versus the fitted values. do they seem to have the same am..
The angle of elevation of a balloon from an observer A is 30 degrees and from observer B, 45 degrees. If the distance between A and B is 800 + 800√3 meters, how high is the balloon?
It takes 5 hours to fill an empty tank when both outlet pipes are open. When one outlet pipe is closed, it takes 3 hours to fill the tank. Find the flow rates (in gallons per hour) in and out of the pipes.
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