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a rectangle study area is to be enclosed by a fence and divided into two equal parts, with the fence running along the division parallel to one of the sides. if the total area is 384 ft^2, find the dimensions of the study area that will minimize the total length of the fence. how much fencing will be required?
Find the solution of the differential equation that satis?es the given initial condition
Find the nth term of the given sequences - Write out the nth term for the continuation of the sequences
A line passes through the point (x,y)=(-9,6) and has a slope of 3. Write the equation of the line.
the theoritical probability of undesirable side effects resultiing from taking grebex is 2 in 13. if 260 people take grebex , how many will encounter undesireable side effects.
A rectangle is constructed with its base on the x axis and two of its vertices on the parabola y=16-x^2. what are the dimensions of the rectangle with the maximum area?
the length of a rectangular garden is 4m more than 3 times its width. If the perimeter of the garden is 56m, what are the dimensions of the garden?
Suppose A divides N and B divides N. Does this always imply: A * B divides n? Now the question is under what condition A*B will always divide N? Prove it.
If the water level is 5 feet below the closed bridge, find the distance d between the end of a section and the water level when the bridge is fully open. (Round your answer to the nearest whole number.)
Selena left a 15% tip for a meal. The tip was $8.40. What was the cost of the meal before the tip?
an airplane is flying on a bearing of 310 degrees at 530mph. A wind is blowing at a bearing of 260 degrees at 85mph. what is the component form of the velocity of the airplane, of the wind? what is the actual ground speed and bearing of the plane?
Develop a joint probability table and show the marginal probabilities. What is the probability of a household whose income exceeds $40,000 and who rejects the offer?
A rectangular park measures 300 ft by 400 ft. A sidewalk runs diagonally from one corner to the opposite corner. Find the length of the sidewalk.
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