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A child is running on a moving sidewalk in an airport. When she runs against the sidewalk's motion, she travels 91ft in 13 seconds. When she runs with the sidewalk's motion, she travels 169 ftin the same amount of time. What is the rate of the child on a still sidewalk and what is the rate of the moving sidewalk?
A body of mass 6 kg moves in a (counterclockwise) circular path of radius 7 meters, making one revolution every 8 seconds. You may assume the circle is in the xy-plane, and so you may ignore the third component.
During a surge in the demand for electricity, the rate, r, at which energy is used can be approximated by r = te-at.
Kingston Kitchen Stuff has recently sold 1,000 shares of $10.75 preferred stock. What is the value of the stock assuming 10 percent required rate of return?
Ellen,jim, and steve bought three helium ballons and paid $2 for all three. They decided to go back to the store and buy enough ballons for everyone in the class. How much did they pay for 24 ballons
Find the demand functions x∗(p, m) and y∗(p, m). Find the partial derivatives of the demand functions with respect to p and m, and check their signs. How does the optimal expenditure on the good x vary with p? (That is, compute the elasticity of px∗ ..
For what values of k does the integral xe^(kx) from x=0 to infinity converge? Evaluate the integral for such k.
Compute Dice Probabilities Solution Set, I roll two dice. Work out what the probability of achieving a 5 on either die
The Archimedean property for the rational numbers states that for all rational numbers r, there is an integer n such that n > r. Prove this property.
Create a system of equations that includes one linear equation and one quadratic equation and create a rational equation that has an extraneous solution.
200 feet of fence needs to be used to enclose a ranch. the ranch borders a river where no fence is needed. what is the quadratic equation that will provide the maximum amount of space.
Find the length of the curve - Is the astroid a smooth curve? Is it regular? Is it a curve of general type? If the answer is "no" for a property, characterize those arcs (or segments) of the astroid which have the given property.
At a certain time of day, a building 300 m tall casts a shadow of 225 m, whereas a second building casts a shadow of 150 m. How tall is the second building?
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