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A cyclist travels 105 miles in 7 hours going against the wind. He travels 147 with the wind in the same amount of time. What is the rate of the cyclist in still air and what is the rate of the wind?
What is the inherent meaning and justification of cross-multiplication as it applies to solving an equation or inequality? In other words, why does cross-multiplication work?
Facebook reports that the average number of Facebook friends worldwide is 175.5 with a standard deviation of 90.57. If you were to take a sample of 25 students, what is the probability that the mean number Facebook friends in the sample will be 19..
Find the line integral of f(x,y,z)=x+y+z over the straight-line segment from (2,1,4) to (1,-2,2). The answer is 4(sqrt(14)). Can you show the work.
Test car A is traveling at a rate of 146 ft/sec . Test car B is traveling at a rate of 93 mi/h. Which car is moving at the faster rate?
Estimate the profit for each item as difference between total revenue and total cost of the item and
Find a hyperbolic rigid motion that transforms the bowed geodesic from (-4,0) to (2,0) to the bowed geodesic from(10,0) to (20,0)?
Demand,Revenue, & the Largest Reduction to maximize Revenue, 200 DVD players are sold per week for $300 each. For each $10 rebate (reduction in sale price), 20 additional DVD players are sold.
Write a system of 5 equations in standard form to represent this problem. Write the matrix equation in the form AX=B.
A control system has a time constant, τ ( = 1/t)), where t satisfies the equation 10e-2t = 2Sin2t + 3. Show that this equation has a solution between t = 0 and t = 1.
The mass of Saturn is about 5.688 10^23 metric tons. The mass of the sun is about 1.998 x 10^27 metric tons. About how many times the mass of Saturn is the mass of the sun?
a child lies on the ground and looks up at the top of a 14-ft tree nearby. the child is 7-ft away from the tree. what is the anlge of elevation from the child to the top of the tree. round to the nearest whole degree.
Check to be sure that all deposits included in your record book are included and service charges are subtracted and make a list of outstanding checks, with the amounts for which they were written.
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