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Simplify 125^(-2/3)

Simplify 125 -2/3 A negative indices means that we need to reciprocate the number or "flip it": 125 -2/3 = (1/125) 2/3 A fractional indices can be split up based on the denominator and numerator. H...
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Answered by Bethan H. Maths tutor
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I’m having some trouble understanding functions. Mainly concerning how to know what the input and outputs are. Could you give me an explanation?

The best way to think about a function is to see it as a machine. Your input is the item you put into the machine, the function is what the machine does, and then when you get out of the other side is your o...
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Answered by Chelsie J. Maths tutor
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A kettle has a 55% energy efficiency. The input energy for the kettle is 378,000 J per boil. Calculate the amount of energy dissipated in 5 boils.

Energy used for one boil = (3.78 x 10 5 / 100) x 55Energy used for one boil = 2.079 x 10 5 J Energy lost per boil = 3.78 x 10 5 -2.079 x 10 5 Energy lost per boil = 1.701 x 10 5 Energy lost per 5 boils = (1....
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Answered by Ryan A. Physics tutor
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How do I respond to a Shakespeare extract?

Read the question carefully. Don't be afraid to underline keywords in the question. Often exam papers will ask you to write about themes like love, confusion, war and greed. If you see a big scary-sounding n...
JC
Answered by James C. English tutor
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Find the value(s) of x which satisfies the equation 3x^2 + 6x + 3 = 0

First we must multiply the coefficient of x2 by the value with no x associated with it3x3 = 9Now we must find two numbers that add to make 6 and multiply to make 9+6x9 3 and 3Now we need to split the coeffic...
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Answered by Jacob G. Maths tutor
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