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two truck drivers leave a cafe at the same time, traveling in different directions. one truck goes 8 mph faster thaan the other one. after 4 hr they are 408 miles apart. how fast is each truck going?
A committee consists of 8 married couples. In how many ways can a subcommitee of 5 people be chosen so that at most one married couple
The distance between the building and the pole is 199 ft, and the pole casts a shadow that is 4.5 ft long. How tall is the building?
What are some of the problems and drawbacks of the moving average forecasting model? How do you determine how many observations to average in a moving average model?
A thin wire has the shape of the first-quadrant part of the circle with center the origin and radius c. If the density function is ρ(x, y) = kxy, find the mass and center of mass of the wire.
Is it possible to have a triangle with sides measuring 10ft, 12 ft, and 23 ft.? A mountain road is inclined 30 degrees with the horizontal, if a pick-up truck drives 2 mi. on this road , what change in altitude has been achieved?
Determine if the given function can be extended to a continuous function at x=0. If so, approximate the extended function's value at x=0 (rounded to four decimal places if necessary).
a number has 3 digits. it is an even square number less than 500.the product of its digits is evenly divisible by 15. what is the number?
Find the LCM of each set of polynomials
Suppose that a volcano is erupting and readings of the rate r(t) at which solid materials are spewed into the atmosphere are given in the table. The time t is measured in seconds and the units for r(t) are tonnes (metric tons) per second.
Use green's theorem to calculate the area of the region between the x-axis and one arch of the cycloid with parametric equations x = a(t - sin t), y = a(1 - cos t).
Sketch both graphs. Find and label the intersection points. Find the area between the graphs using integration. Give the full integral, including limits, in proper notation.
By a line, a great circle on the sphere is referenced. Is it still true that two points determine a unique line? Is it still true that two distinct lines either meet in a single point or do not meet at all?
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