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There is a cube with a length 3x. The expression for the volume in cubic centimeters is equal to the expression for the surface area in square centimeters. Calculate the length of a side of the cube.

volume = SA (3x) 3 = (3x) 2 x 6 27x 3 = 9x 2 x 6 27x 3 = 54x 2 27x = 54 27x - 54 = 0 27(x - 2) = 0 x - 2 = 0 x = 2 The question asks for the length which we are told is 3x: length => 3x = 3 x 2 = 6cm.
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Answered by Sofia D. Maths tutor
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How do you 'complete the square' of a quadratic equation?

To complete the square, we need to rearrange the quadratic equation in the form of ax 2 + bx + c into the form r(x + p) 2 + q, where our task is to find the values of the unkowns of r, p and q. Let's take th...
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Answered by Ryan B. Maths tutor
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These are the selling prices of 5 houses in 2007: £145 000, £170 000, £215 000, £90 000, £180 000 (a) Work out the mean selling price.

The mean is also known as the average. To work out the mean you need to add all the house prices together and then divide by the number of houses. So in this example the total price of the houses is 145000+1...
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Answered by James P. Maths tutor
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How should I answer a source based question in an exam?

When answering a source based question, you need to focus on the 5W's. By answering each of them, you will address each of the problems of a source based question. 5Ws : WHO / WHAT / WHEN / WHERE / WHY WHO :...
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Answered by Lucy W. History tutor
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How do you express "no matter" in Chinese?

Firstly, there are two expressions that you can use to express "no matter", these are: 1.不管 (bùguǎn) ……,都(dōu) /也 (yě)…… OR 2. 无论(wúlùn)/不论(bùlùn)……,都(dōu)/也(yě)…… The first one is more informal th...
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Answered by Lijie Y. Mandarin tutor
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