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Expand and simplify the following equation: 3(2a+2) + 4(b+4)

This problem is best split into two parts either side of the '+' sign seen as they are independent of each other, so the first part: 3(2a+2), as the 3 is outside of the bracket we have to multiply everything...
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Answered by Joseph I. Maths tutor
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What is a reflex arc?

The three different types, sensory, relay and motor neurons can all be used in a reflex arc; a relay neuron is not always necessary but often is included. It is easiest to remember them in that order as that...
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Answered by Bella B. Biology tutor
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List the first 4 halogens as they appear in the periodic table as they appear. What does your answer suggest about their relative reactivity?

Fluorine, Chlorine, Bromine, IodineIf you write the electronic structure to start, F = 2,7, Cl = 2, 8, 7, Br = 2, 8, 8, 7, I = 2, 8, 8, 8, 7. This shows that they all have 7 outer electrons so we can tell th...
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Answered by Joseph I. Chemistry tutor
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If we take a number and square it, the answer is also the product of the two numbers either side of it plus one. Prove algebraically that this works for all numbers.

First of all let's give some examples: 5^2=4x6+1 = 25 or 6^2 = 5x7+1 = 36. To prove it for every number let's call the number x (e.g. x was 5 and 6 in the cases above). Then the result we want to prove is x^...
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Answered by Miles M. Maths tutor
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The perimeter of an isosceles triangle is 16cm. One of the sides equals to x+3, while the unequal one equals to x+4. Calculate the area of this triangle.

Firstly, we know that it is an isosceles triangle, meaning that 2 of its sides are equal. In this case, the uneven side is given as x+4, so we can assume that the triangle has 3 sides: AB= X+3BC= X+3AC= X+4T...
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Answered by Stella K. Maths tutor
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