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An oil refinery is located on the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the refinery to storage tanks located on the south bank of the river 10 km east of the refinery. The cost of laying pipe is $400,000 per km over land to a point P on the north bank and $800,000 per km under the river to the tanks. To minimize the cost of the pipeline, how far from the refinery should P be located? (Round your answer to two decimal places.)
eet over a horizontal distance of 456 feet. Find the slope of the path. Round your answer to two decimal places.
Maryam pays $3000 on the 30th day of a $7,000, 120-day, and 8% loan.
The average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.
A uniform boom AC, 4m long and weighing 50 N is smoothly hinged at C and is supported at A by a rope AB. Find the tension in the rope and the size and direction of the reaction at C.
what is the probability that the mean weight of a random sample of 35 college football players is between 207 pounds and 212 pounds.
A number (a) is called a fixed point of a function (f) if f(a)=a. Prove that, if f'(x) does NOT equal 1 for all real numbers (x), then f has at most one fixed point.
To determine whether the system described is a group. G = set of all integers, a.b = a - b
Suppose that G is a forest Consisting of k trees T1, T2, ..., Tk. Furthermore, suppose that Ti has order ni, for 1 Is the n-dimensional cube Qn Hamiltonian? Prove your answer.
There are many applications used in the area of solving systems of equations. For example, systems of equations can be used to find the optimal number of items to produce to ensure the highest profit of those particular items.
A poster is to have an area of 250 in2 with 1 inch margins at the bottom and sides and a 3 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.)
Population growth rate
A fitness ball is delivered in a flat package with a hand pump. The Pump Inflates the ball at a rate of 280 cubed per pump, to a diameter of 28 cm. How many pumps are needed to inflate the ball
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