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Two trains leave a station at 12:00 noon. One travels north on a track at 75 mph. The second travels east on a track at 30 miles per hour. At 1:00 PM the northbound train stops for one-half hour at a station while the eastbound train continues at 30 miles per hour without stopping. At 1:30 PM the northbound train continues north at 75 mph. How fast are the trains traveling away from one another at 4:00 PM? The distance between the trains is increasing at miles per hour.
Test at the five percent level of significance
the length of a rectangular backyard is 13 feet longer than its width (x). what is the area of the bakyard interms of x?
The diameters of grapefruits in a certain orchard are normally distributed with a mean of 7.10 inches and a standard deviation of 0.50 inches.
Probability of selecting a resident live in Alaska, According to the U. S. Census Bureau, the total 2008 U.S. population was 303,824,640. The chart below summarizes the 2008 population for five U.S. States.
The region R is the base of a solid. For this solid, at each x the cross section perpendicular to the x-axis is semicircle. Find the volume of this solid using a representative shape.
Consider the parabola y=(x^2)/100. FInd another point on the parabola with a tangent line that goes through (100, 50).
Use Stokes' theorem to evaluate the integral of F around the curve consisting of the straight lines joining the points (1,0,1), (0,1,0) and (0,0,1). In particular, compute the unit normal vector and the curl of as well as the value of the integral
Find the length of the coastlines of the South and North Carolina
Write the equation of the line which has a slope of 8/9
A bookstore has an annual demand for 40,000 copies of a best-selling book. It costs $0.90 to store one copy for one year, and it costs $15 to place an order. Find the optimum number of copies per order.
What is, at first approximation, the volume of the layer of water between the heights x and x + Δx? What is, in Joules, the work required to pump all the water from the reservoir to a height of 1 m above the reservoir?
the lengths of the sides of a triangle are 5, 6, and 7. if the perimeter of a similar triangle is 36, what is the length of the shortest side of the similar triangle?
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