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How do I rationalise the denominator of a fraction?

I am going to assume you know what an irrational number is, given that that should have been taught right at the beginning the topic of surds. When I talk about a “rational” number, here I mean “whole number...
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Answered by Andrew D. • Maths tutor
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How are leaves of a plant adapted to enable photosynthesis?

Leaves have 4 main adaptations which enable them to carry out photosynthesis successfully. 1) Thin - this allows carbon dioxide to easily diffuse into the leaf cells 2) Transparent epidermis - this allows li...
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Answered by Rebecca G. • Biology tutor
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A stationary radium atom decays, emiting an alpha particle. Why is the recoil speed of the nucleus small compared to the alpha particle?

Initially the momentum is zero. Due to conservation of momentum, the alpha particle and radium nucleus must gain equal but opposite momentum. The mass of the radium nucleus is greater than the mass of the al...
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Answered by Daisy D. • Physics tutor
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What are the set of values for x that satisfy the below equation?

x 2 - 9x ≤ 36 1. Draw a graph. y = x 2 - 9x and y = 36 2. Find the points of intersection by solving x 2 - 9x = 36 x 2 - 9x = 36 x 2 - 9x - 36 = 0 (x - 12)(x + 4) = 0 Therefore, the lines intersect at x = 12...
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Answered by Daisy D. • Maths tutor
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Explain what is meant by 'homeostasis' and give an example of this process in the human body.

Homeostasis is the process of maintaining a constant internal environment in the body. An example of this is maintaining the temperature of the body. Human body temperature must be maintained at 37ºC as this...
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Answered by Oli W. • Biology tutor
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