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How do you find the highest common factor of two numbers?

Lets take 18 and 48 as our two numbers for an example. Break both down into products of their prime factors using factor trees: 18=3x3x3x2 and 48=3x2x2x2x2. Write the prime factors as a Venn diagram. The num...
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If y=4x^3+3/x^2-3, what is dy/dx?

We know the rule for differentiation is, multiply by the power reduce the power by one. Although having several parts this looks confusing we just need to break it down. 4x^3 differentiates to 12x^2 followin...
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Looking at the diagram, work out the angle of a) x, b) y, and c) z

a) the triangle is isosceles so the two missing angles must be identical. all angles in a triangle add up to 180. therefore, 180-40=140 140/2 = 70* = xb) this triangle has two angles given already, so the sa...
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Answered by Emma G. • Maths tutor
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y = 2/x^3 find and expression for dy/dx

y = 2 x -3 simpler to differentiate in this form dy/dx = (-3)(2 x -4 ) multiply by power out the front and subtract one from the powerdy/dx = -6/x 4 simplified version of above equation
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Answered by Rufus B. • Maths tutor
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Describe how the structures involved in a reflex action help co-ordinate a reflex: (image with receptor, effector, spinal cord, synapse and neurones)

A receptor detects a stimulus e.g. pressure. The receptor generates electrical signals. Neurones conduct impulses, a sensory neurone conducts to the spinal cord. There is a synapse between the neurones and t...
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Answered by Pareya A. • Biology tutor
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