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A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No fencing is needed along the barn, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. If the fencing costs $14 per linear foot to install and the farmer is not willing to spend more than $7000, find the dimensions for the plot that would enclose the most area.
There's 16 wrapped candies that are exactly the same, except one of them is 3 times heavier than the rest. Weighing only THREE times, how do you find the heavier candy?
1. Design a roller coaster by making a piecewise function using four different polynomial functions. The domain of the function needs to be restricted to prevent overlapping, and should be a smooth ride.
Write the formula for angle A in terms of the angels b and c. Also find a when b=20 and c =155 degrees.
Probability; Eliminate the paramter to find a cartesian equation of the curve; Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases
Plumage numbers are on a scale from 1-10, with 10 being the most desirable. The egg output is not on a scale, but is instead the average output for the breed, based on years of collecting eggs.
The hypotenuse of a right triangle is 13cm. One arm of the right angle is bigger by 7cm than the other leg. Find the length of the arms of the right angle.
the following data represents the number of points scored by players on a high school basketball team this
A street light is mounted at the top of a 11 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 8 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 40 ft from the base of the pole?
In a chemical reaction, a certain compound changes into another compound at a rate proportional to the unchanged amount. Find the arc length of the graph of the function y = 2x3/2 + 3 over the closed interval [0, 9]
Suppose that an automobile's velocity starting from rest is v(t) = 270t/3t + 11 where v is measured in feet per second. Find the acceleration at 7 seconds. Round your answer to one decimal place.
sum of zero of polynomial x2- 2x 1 is equal to sum of zero of polynomial x3- 2x x then find the product of all the
Suppose you have a pipe with circumference of 8 and length of 30 and that 10 turns of the wire are wrapped around the pipe. What is the length of the wire?
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