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1.) Simplify the expression. Check answer by raising it to the 2nd power.
√25x^16 y^20
2.) Simplify the expression. Check answer by raising it to the 3rd power.
^3√64x^24 y^6
3.)Simplify the expression. Check answer by raising it to the 4th power.
^4√81x^12 y^4 z^24
Given the adjacency relation p = {(1,4), (1,5) (1,6), (6,2), (6,3), (6,5)} on the set N ={1,2,3,4,5,6}, find the corresponding directed graph and adjacency matrix.
A body with mass 250g is attached to the end of a spring that is stretched 25cm by a force of 9N. Find x(t) in the form C cos(ω0t - a). Find the amplitude and period of motion of the body.
Find the work required to empty the tank by pumping the hot chocolate over the top of the tank. Note: the density of hot chocolate is delta = 1500 kg/m^3
The design of boats is based on Archimedes' Principle, which states that the buoyant force on an object in water is equal to the weight of the water displaced.
Two trains leave stations 312 miles apart at the same time and travel toward each other. One train travels at 75 miles per hour while the other travels at 55 miles per hour. How long will it take for the two trains to meet?
The DNA molecule has the shape of a double helix. The radius of each helix is about 8 angstroms (1Å = 10-8 cm). Each helix rises about 33 Å during each complete turn, and there are about 2.9 108 complete turns. Estimate the length of each helix. (..
A study in 2008 established the mean commuting distance for workers in a certain city to be 15 miles. Because of the westward spread of the city.
The strength of a signal in a fiber-optic cable decreases 12 for every 15 km along the cable.
Explain how to convert from binary to base 64 expansions and from base 64 expansions to binary expansions and from octal to base 64 expansions.
Calculate an adjusted exponentially smoothed forecast
a manufacturer produces 1000 computer chips for a mission-critical application. each chip costs 100 to manufacture and
The money to be spent for the welfare of the employees of a firm is proportional to the marginal revenue. If total revenue from x units is given.
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