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Solve the simultaneous equations: 4x + y = 25, x - 3y = 16

We need to have either the same number of x's or the same number of y's in each equation so that we can add or subtract them to be left with just x or just y. We can do this by multiplying the second equatio...
LH
Answered by Lydia H. Maths tutor
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Explain one reason why governments impose indirect taxes.

Indirect taxes are imposed on expenditure. They raise a firm's cost of production, which causes an upward shift in the supply curve of the firm. Indirect taxes can be specific or ad valorem: specific taxes a...
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Answered by Lydia H. Economics tutor
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What is the Quark structure, Baryon number, and antiparticle of a kaon, K+, which has a strangeness of 1.

Firstly we must figure out what we know about this particle. We have its stangeness which is 1 and we know its charge from the "+" symbol in the question, which is also 1.For the first bit we shoul...
LH
Answered by Louis H. Physics tutor
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What is the sum of the series 2/3 − 2/9 + 2/27 − ....? (PAT Q1 2013)

This is the sum of a geometric series with an infinite number of terms.First, find the common ratio:(-2/9)/(2/3) = -1/3 , (2/27)/(-2/9) = -1/3Therefore, the common ratio is -1/3-1<(-1/3)<1 therefore th...
KM
Answered by Kirill M. PAT tutor
16453 Views

What is the derivative of ln(x)?

First let y=ln(x). Recall that the exponential function, e x , is defined as the inverse of the logarithmic function, ln(x). To make x the subject of the formula, use the inverse function exp. This gives tha...
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Answered by Benjamin G. Maths tutor
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