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a metal sculptor has a solid bronze sphere with a radius of 10 inches. She melts the sphere and casts a hollow sphere with an inner radius of 10 inches. What is the thickness of the shell of the hollow sphere?
A plane flying horizontally at an altitude of 2 mi and a speed of 520 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 5 mi away from the station. (Round your ans..
Compare your observed values of the test statistic in parts F & G. What conclusion do you reach from this comparison?
Given a set of all real numbers containing 4s and 5s in their decimal representation. Determine the given set is countable or uncountable.
calculate the variable costs of hand- made rocking chairs using the following information.
The cost C of ordering and storing x units is C=2x+(30000/x). What order size will produce aminimum cost?
Nilpotent transformation, Consider the transformation N: V->V. Let g be a vector such that N^k-1 does not equal 0, but N^k = 0. First show that the vectors g,N(g),N^2(g),..,N^k-1(g) are linearly independent
Matrices have a number of interesting mathematical attributes, such as their dimensions, how they can be derived from linear systems, and the kinds of operations that can be performed on them.
Describe the first iteration--i.e. write down the formula for the next point x2 and the decision that has to be made. Solve Numerical Analysis and Root Finding
The total reserves of a non-renewable resource are 400 million tons. Annual consumption, currently 25 million tons per year, is expected to rise by 1% each year. After how many years will the reserves be exhausted?
Compute the p-value for the following hypothesis test for the difference between two means with unknown population variances.
Racing cars driven by Chris and Kelly are side by side at the start of a race. The table shows the velocities of each car (in mph) during the first 10 seconds of the race. Use the Midpoint Rule to estimate how much farther Kelly travels than Chris..
A 180-lb man carries a 5-lb can of paint up a helical staircase that encircles a silo with radius 25 ft. If the silo is 80 ft high and the man makes exactly four complete revolutions, how much work is done by the man against gravity in climbing to..
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