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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 the top?
The sales of a small company were $27000 in its second year of operation and $63000 in its fifth year. Let y represent sales in the xth year of operation. Find the slope of the sales line.
Use the left-to-right elimination method to solve the system.
If 9 less than the product of a number and -4 is greater than 7, which of the following could be that number?
Vital information about Quantitative analysis:Networks, PERT, critical path. A project was planned using PERT with three times estimates. The expected completion time of the project was determined to br 40 weeks
For the normal distribtion, the mean plus and minus 1.96 standard deviation will include what percent of the observations? What is the formula to calculate the percentage?
Highway engineers design a parabolic curve for an entrance ramp from a straight street to an interstate highway . The vertex of the curve passes through (0, 0) and the parabola passes through (1000, + 800). Find an equation for the parabola.
Why do we measure perimeter in ft, area in ft^2 (or feet squared), and volume in ft^3 (or feet cubed)? What does each mean within the strand of measurement?
A certain population has a mean of 488 and a standard deviation of 31. Many samples of size 51 are randomly selected and the means calculated.
Normal subgroups, Second Theorem of Isomorphism, Conjugates and Cyclic Groups
If the data for both tests are normally distributed, on which test did the student score better? Show the use of a formula.
In a ring R, an idempotent is an element x ? R such that x * x = x (where * denotes the ring multiplication). Show that if R is an integral domain, then R has exactly two idempotent elements.
find the volume V generated by rotating the region bounded by the given curves about x = 4.
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