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A firefighter aim a fire hose from 4 feet above the ground at a window that is 26 feet above the ground. The equation h=-0.01d^2+1.06d+4 models the path of the water when h equals height in feet. Estimate, to the nearest whole number, the possible horizontal distances (d) in feet between the firefighter and the building.
been out of school for a while and can remember how to do this. if cant give the answer, instructions on how to would be much appreciated.
Show that there is a point P with x-coordinate 3 at which the line tangent to the curve at P is horizontal. Find the y-coordinate of P.
Which of these best represents how much the manager will save on milkeach day if she buys the milk in 1-gallon containers?
A gun has a muzzle speed 120 m/s. Find two angles of elevation that can be used to hit a target 600 m away. (assume that the gun and the target are at the same height)
Find the angle between the diagonal of a cube of side length 3 and the diagonal of one of its faces. The angle should be measured in radians.
A rational number r = p/q, where p, q are in Z, is said to be properly reduced if p and q (q > 0) have no common integral factor other than +1 or -1. Define the function f as follows;
what is the maturity value of an inerest bearing note; the principal is 80,000 at 10% for 60 days.
Now, suppose that the company currently has 180 units in stock, and it will not be receiving any further shipments from its supplier for at least 3 weeks. What is the probability that the company will run out of units?
A guided missile is propelled from the origin of a coordinate system with the x-axis along the ground and the y-axis vertical. Its path, or trajectory, is given by the equation below.
Muir Manufacturing produces two popular grades of commercial carpeting among its many other products. In the coming production period, Muir needs to decide how many rolls of each grade should be produced in order to maximize profit
Automorphism, Abelian Group and GCD, Let G be a finite Abelian group of order n, and let m be a positive integer with gcd(m,n)=1. Prove that φ:G-->G defined by φ
In a sample batch of 36 mechanical pencils it is assumed that 10 are defective. If 5 mechanical pencils are randomly selected, what is the probability that none of them are defective?
Let A, B, C be sets and let X be a set containing A, B, C as subsets. Prove that A intersects (B union C)= (A intersects B) union (A intersects C)
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