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the fence around a rectangular piece of property is 156 m long. if the area of the property is 1505 meters squared, find the dimensions of the property.
Use the Laplace transform to solve the given system of differential equations.(d^2 x)/(dt^2 )+(d^2 y)/(dt^2 )=t^(2 ) (d^2 x)/(dt^2 )-(d^2 y)/(dt^2 )=4t x(0)=8 x^' (0)=0 y(0)=0 y^' (0)
A phone company worker needs to know the height of a cell tower, so he decides to use a 2 m pole and shadows cast by the sun, as shown in the diagram. Both shadows end at point B. What is the height of the tower?
A farmer has a rectangular garden plot surrounded by 270 ft of fence. If its area is 3800 ft2, what is the length and width of the garden?
A quiz cosists of 10 multiple-choice questions, each with 4 possible answers. For someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 60 %.
John sells his house and earns a profit of $600,000. With the profit, he buys a 20 year annuity that earns 6.5% interest compounded monthly. What monthly payment will John get?
What is the probability of getting the indicated result
How many solutions exist for aquadratic equation? explain. How do we determine whether the solutions are real or complex?
Find the equation of the perpendicular bisector of the line drawn between two points and determine the center and radius of the circle equation.
An orchard contains 60 peach trees with each tree yielding an average of 57 peaches. For each 5 additional trees planted, the average yield per tree decreases by 3 peaches. How many trees should be planted to maximize the total yield of the orchar..
Fencing for the side parallel to the building costs $20 per foot, and material for the other two sides costs $80 per foot. If $1,500 is to be spent on fencing, what are the dimensions of the garden with the largest possible area?
At that instant L and W are increasing at a rate of 10 m/s while H is decreasing at a rate of 1 m/s. Find the rate at which the surface area S is changing at that instant.
Problems Involving a Binomial Distribution About 30% of adults in United States have college degree.
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