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A hawk flying at 10 m/s at an altitude of 180 m accidentally drops its prey. The parabolic trajectory of the falling prey is described parametrically by
x=10t y=180-49t^
until it hits the ground. The variable x represents the horizontal distance traveled by the prey and the variable y represents its height above the ground. Calculate the distance traveled by the prey from the time it is dropped until it hits the ground. Express your answer correct to the nearest tenth of a meter.
A difference between the mean number of volunteer hour
write the English phrase as an algebraic expression. A number decreased by the sum of the number and eight.
Show that if R and S are commutative rings with 1, phi:R-->S is a homomorphism of R onto S, and I is an ideal of R, then phi[I]={phi(r): r included in I} is an ideal of S.
Calculate the distance traveled by the prey from the time it is dropped until the time it hits the ground. Express your answer correct to the nearest tenth of a meter.
A rancher wants to fence in a rectangular area of 124416 square feet and then divide the enclosed area in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use?
A special window has the shape of a rectangle surmounted by an equilateral triangle. If the perimeter of the window is 16 feet, what dimensions will admit the most light?
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 ..
The probability of a bit error in a memoryless binary symmetric communication channel is 10^-3. Find the probability of a block of 1000 bits
Let x represent the number of $20 price increases. Write expressions for the new price, the number of rented apartments, and the total revenue.
Construct examples showing that every possible connectivity number occurs (for graphs regular of degree 3):(Kappa) = 0, 1, 2, 3. Kappa = connectivity
Find the expected value and the variance of X, the number of inspected bottles with serious defects.
The surface is defined by the equation x^2 - 2y^2 + z^2 +yz = 2. Write equations of the tangent plane and normal line to this surface at the point P(2, 1, -1)
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