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The magnitude of a velocity vector is called speed. Suppose that a wind is blowing from the direction N45°W at a speed of 50 km/h. (This means that the direction from which the wind blows is 45° west of the northerly direction.) A pilot is steering a plane in the direction N60°E at an airspeed (speed in still air) of 200 km/h. The true course, or track, of the plane is the direction of the resultant of the velocity vectors of the plane and the wind. The ground speed of the plane is the magnitude of the resultant. Find the true course and the ground speed of the plane.
A piece of wire 4 m long is cut into two pieces, then each piece is bent into a square. Express the combined area of the two squares in terms of one variable x
Find the confidence interval for the population mean
A parcel of land is in the shape of a rectangle with length L (in feet). 65% of the length is waterfront and 70 feet of the length is not waterfront. Write and solve an equation to find the lenght of the parcel of land.
A lighthouse is located on a small island 4 km away from the nearest point P on a straight shoreline and its light makes four revolutions per minute. How fast is the beam of light moving along the shoreline when it is 1 km from P? (Round your answ..
If you know the order of the normalizer N of can you find the generators for N? Give a solid math argument why this is correct and please keep the answer as simple as possible at the same time.
An economy has three sectors: A, B, C. Sector A sells 20% of its output to B and 30% to C and retains the rest. Sector B sells 30% of its output to A and 40% to C and retains the rest. Sector C sells 50% of its output to A and 30% to B and retains..
As reported by Runner's World magazine, the times of the finishers in the New York City 10-km run are normally distributed with a mean of 61 minutes and a standard deviation of 9 minutes. Let X be the finishing time for a finisher in the New York ..
There are about 5.859x10¹² miles in 1 light-year. Estimate how many miles this star travels in one year.
Suppose the tank is empty. Both inlet pipes are running at full force. The drain pipe is open. When the tank is half full, the drain pipe is closed.
the time needed to roast a chicken on its weight. Allow at least 20 min/lb for a chicken weighing up to 6lbs.
Set up SEIR diagrams, explain the meaning of all variables and parameters for the following infection systems smallpox-type pathogen (with life-long immunity) spreading in a homogeneous community with natural mortality - u (mu)
what polynomial represents the total surface area of a rectangular solid with sides being 2x. x, 3x. What polynomial represents the volume?
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