A ship moves through water at 30miles/hour at an angle of 30 south of east. the water is moving 5miles/hour at an angle of 20 east of north. identity the ships vector, the water currents vector, and the vector representing the ships actual motion

At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 16 cubic feet per minute. the diameter of the base of the cone is approximately three times the altitude. at what rate is the height of the pile changing when the pile is 12 feet high? (hint: the formula for the volume of a cone is v = 1 3 πr2h.)

G(x) = 2 sin(2x - π) + 4. using complete sentences, explain how to find the minimum value for the function.

Determine the mean and variance of the random variable with the following probability mass function. f(x)=( 729divided by 91) (1 divided by 9) superscript x baseline comma x equals 1,2,3 round your answers to three decimal places (e. g. 98.765).