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A closed recycling bi is in the shape of a rectangular box. Find the height of the bin if its length is 18 feet, its width is 8 feet, and its surface area is 496 square feet.
A tank holds liquid waste comprised mostly opf water. It is vented to the atmosphere. the tank has a diameter of 50 feet and a total depth of 30 feet, it is only half full. At a poin t five feet above the bottom of the tank, what is the approximat..
If a baseball player's batting average is 32 %, find the probability that the player will get atmost 26 hits at 100 times at bat.
A constant force F= -3i + 8j +10k moves an object along a straight line from point (-6, -5, -4) to point (-3, 1, -6). Find the work done if the distance is measured in meters and the magnitude of the force is measured in Newtons.
f(z) is defined by the equations: f(z)=1 when y 0, and C is the arc from z=-1-i to z=1+i along the curve y = x^3. The answer is given as 2+3i.
three tennis balls are tightly packed one of top of each other in a cylindrical can. what fraction of the volume of the can is occupied by the tennis balls?
For the following problems, determine how many years it will take for the two accounts to reach the same amount. A 1000 dollar investment at a rate of 3% compounded monthly and an 1100 dollar investment at a rate of 3.02% compounded annually.
A club has 28 members, and 6 members must be selected to make a committee. Of the 28 members, 15 are men and the rest are women. How many ways can the 6 member committee can be selected if there are to be 4 men and 2 women on the committee?
Please describe the following: How do you find the length of the hypotenuse of a triangle?
Please explain how to find the equations of the tangent line and the normal line to the graph of the equation at the indicated point and achieve the specified answer.
A poll of 69 students found that 24% were in favor of raising tution to build a new math building. The standard deviation of this poll is 4%. What would be the standard deviation if the sample size were increased from 69 to 205?
Let f:R->R be uniformly continuous on R (the reals) and let f_n(x)=f(x+1/n) for x in the reals. Show that (f_n) converges uniformly on the reals to f.
Suppose a business purchases a new tractor at an original cost of $42,000. Further, suppose this tractor has a useful life of 8 years and a salvage value of $10,000.
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