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Imagine that the earth is a perfect sphere, and that a metal wire is wrapped around its equator, fitting snugly against the surface. Now imagine that we cut this wire in one spot and splice in an additional 100 meters of wire. We then take up the slack by using posts to raise the wire an equal distance all the way around the earth.
1: How high above the surface of the earth will the wire be? How did you calculate that?
2: What if the original object is a basketball? What if it's Jupiter? Then what happens?
Please provide a step by step explanation about how to compute total number of ways in which 3 different colored bottles could be arranged in a line out ot a total of 9 bottles.
A normal human body temperature is 98.6°F. What is the corresponding Kelvin temperature?
Given a line segment of length 1 inch, how do I construct a line segment of squareroot(6), squareroot(7), squareroot(8), etc. Also, given a wire of total length 4236 feet, how do I construct a golden triangle from the wire?
A medical prosthetics company charges a $350 setup fee and $5.50 per piece to make a plastic brace for patients with sprained wrists. Write an equation to model this cost of production, and calculate the cost of producing 3000 braces?
The height, in feet, of a free-falling object t seconds after being dropped from an initial height s can be found using the function h = -16t2 + s. An object is dropped from a helicopter
A pig rancher wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. He has 420 feet of fencing available to complete the job. What is the largest possible total area of the four pe..
A rectangular storage unit has dimensions 1 m by 2 m by 3 m. If each linear dimension is increased by the same amount. What increase would create a new storage unit with a volume 10 times the original
What is the correct conclusion for this hypothesis test?
We also discussed rotations of common shapes in the plane using a change-of-base. Walk through one or two examples and discuss how the "usual" basis {(1,0) and (0,1)} can be limiting. Does this suggest why other bases might be better in certain ci..
Suppose that during the past year the following is Jim's distribution of home sales. If one assumes that this a typical distribution for Jim's monthly sales, which salary plan should Jim select?
What course (bearing) should the pilot take in order to result in a course that is due west? what will be the ground speed of the plane?
During the last hour, a telemarketer dialed 20 numbers and reached 4 busy signals, 3 answering machines, and 13 people. Use this information to determine the empirical probability that the next call will be answered in person.
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