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Explain the Rule of Law doctrine.

1) Definition of the Doctrine

The Rule of Law (ROL) is one of the three central doctrines of the English constitution, alongside the Separation of Powers and Parliamentary Sovereignty. It wa...

Answered by Arron J. • Law tutor

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Complete the following nuclear equation p+ -----> n + ... + ...

This is a proton decaying into a neutron and two other subatomic particles. Here you have to consider various conservation laws, including: baryon number, lepton number and charge. (Energy and momentum ar...

Answered by Ryan S. • Physics tutor

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The potential difference in a circuit is 5V. There are two resistors connected in series of resistance 10 Ohms. Calculate the current I in the circuit.

Ohm's law states that V=IR ; where V is p.d., I is current and R is resistance.

Firstly the two resistors are in series so the total resistance is just the sum of the two resistanc...

Answered by Ryan S. • Physics tutor

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Consider the functions f and g where f (x) = 3x − 5 and g (x) = x − 2 . (a) Find the inverse function, f^−1 . (b) Given that g^−1(x) = x + 2 , find (g^−1 o f )(x) . (c) Given also that (f^−1 o g)(x) = (x + 3)/3 , solve (f^−1 o g)(x) = (g^−1 o f)(x)

(a) Start with f(x)= 3x − 5; y=3x - 5, and switch x and y before rearanging to get y in terms of x again:

y=3x - 5

x=3y - 5

(x+5)/3=y

Therefore f^−1(x)=(x+5)/3

(b) Start...

Answered by Isobel B. • Maths tutor

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5 students are in a maths class and 10 students are in a physics class. The mean mark of the maths class is 90 and the mean mark of the physics class is 85. Work out the mean mark of both classes.

To find the mean mark the formula is mean = ∑marks /number of students Therefore the mean for maths is 90 and so ∑marks = meannumber of students = 905 = 450 and the ∑marks for th...

Answered by Ryan S. • Maths tutor

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