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A landscape architect wishes to enclose a rectangular garden on one side by a brick wall costing $30/ft and on the other three sides by a metal fence costing $20/ft. If the area of the garden is 1,500 ft2, find the dimensions of the garden that minimize the cost.
? ft (length of brick wall)? ft (length of side adjacent to brick wall)
A car leaves Lima at noon traveling due West at 65 mph. At 2 PM, a car 300 miles south of Lima heads towards Lima at 70 mph. How quickly is the distance between the cars changing at 4 PM?
Justings Co. owned 80% of Evana Corp. During 2006, Justings sold to Evana land with a book value of $48,000. The selling price was $70,000.
The prong of a tuning fork moves back and forth when it is set into vibration. The distance the prong moves between its extreme positions is 2.22 mm.
which the distance between the planes changes when the southbound plane is 34 km away from the airport and the westbound plane is 21 km from the airport.
Determine the number of points in the sample space of the possible arrangements of boys and girls.
The height of a ball (in feet) t seconds after it is thrown straight upward is determined by h(t)=16t^2+48t+7. How long did it take the ball to hit the ground?
Identify a sampling method that would lead to a representative sample for the survey. Explain why it would be a good choice and give details about the process.
A volcano fills the volume between the graphs z=0 and z=1/(x^2+y^2)^14 and outside the cylinder x^2+y^2=1. Find the volume of the volcano.
Due to a manufacturing error, three cans of diet soda were accidentally filled with regular soda and placed into a 12-pack. Two cans are randomly selected from the case.
Suppose that in Sleepy Valley, only 46% of those over 50 years old own CD players. Find the probability that among four randomly chosen people in that age group none owns a CD player.
Use Newton's Method for three steps to find the cube root - Evaluate the Newton's method discrete-time dynamical system to check your answer for the first step and compute the next two values.
A rectangular enclosure is made from 60 m of fencing. The area enclosed is 216 m2. Find the dimensions of the enclosure.
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