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There are 1000 lockers numbers 1 o 1000. Suppose you open all of the lockers, then close every other locker. then, for every third locker, you close each opened locker and open each closed locker. You follow the same pattern for every fourth, fifth locker and so on up to every thousandth locker. Which locker doors will be open when the process is complete?
A woman walks due west on the deck of an ocean liner at 7 mph. The ocean liner is moving due north at a speed of 23 mph. Find the speed and direction of the woman relative to the surface of the water.
If A is an invertible matrix and n is a non negative integer then: please make the proof very detailed and show every step
What are the possible orders of subgroups of S4? Prove that S4 has at least one subgroup of each of these orders. What are the elements of these subgroups?
the well circulated air mixture is vented from the room at the same rate, find a formula for the percentage of carbon monoxide in the room at time t?
Find all values of: tan^(-1) * (1 + i). The format for the final answer should be similar to this one:
Find the minimum and maximum possible areas for a rectangle measuring 4.15 cm by 7.34 cm. Round to the nearest hundredth.
Elena's daughter sold 78 boxes of Girl Scout cookies. She was told that this amount represented 20% of the troops sale. How many boxes did the troop sell?
Let z denote the length of the side of the square being cut out. Let x denote the length of the base. Let y denote the width of the base. Write an expression for the volume V.
Mathematics-Supply Greater Than Demand- Transportation Model, A company which owns hauling trucks moves materials between three sources (depots) and three destination projects.
Differentiate the function f(x) =
]an artifact is discovered at a certain site. if it has 73% of the carbon 14 it originally contained, what is the approximate age of the artifact? (carbon 14 decays at the rate of .0125% annually)
Find the three qualitatively different regimes of growth from the given data - formulation to distinguish and describe three qualitatively different regimes of growth
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