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Margret wants to share £36 in a ratio of 3:4 between her two grandchildren, Anna and Katie. How much money will Katie get?

36/12 = 33x4 = 12Katie gets £12
MN
Answered by Martha N. Maths tutor
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Find and describe the stationary points of the curve y = x^2 + 2x - 8

Stationary points occur when the derivative is = 0Derivative: 2x + 2 = 0, so a stationary point occurs when x = -1y = 1 + 2 - 8 = -5Second derivative = 2Therefore, the stationary point (-1,2) is a minimum
MN
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Describe how to perform a flame test to identify an unknown compound.

The equipment needed is a bunsen burner, a wire loop, some HCl, and the compound being tested (usually in powder form). Set up the bunsen burner so that it is on a blue flame. Take the wire loop and dip it i...
MN
Answered by Martha N. Chemistry tutor
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‘The most important contribution to the creation of a united Italy in 1861 was made by Cavour.’ How far do you agree?

This question is rooted in broader debates about historical causation. Such debates can be identified in most A Level questions and can essentially be boiled down to assessing the most important agents of ch...
JB
Answered by Jack B. History tutor
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Prove by induction that for all positive integers n , f(n) = 2^(3n+1) + 3*5^(2n+1) , is divisible by 17.

Prove the base caseFor n=0, f(0)= 2 + 15 = 17Therefore, when n=0, f(n) is divisible by 17, base case is true2. Assume true for any integerAssume for n=k, f(k) is divisible by 17f(k)= 2 3k+1 + 3(5 2k+1 ) ;3. ...
SE
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