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“Is the character of Polonius sinister?”

On the surface Polonius seems to be a well-spoken man who is aware of his status in society and is full of wisdom to pass on to his children, Ophelia and Laertes. However, it could be argued that he is out f...
EK
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An ideal gas at a temperature of 22 C is trapped in a metal cylinder of volume 0.2 m^3 at a pressure of 1.6x10^6 Pa. The gas has a molar mass of 4.3 x 10^(-2) kg mol^(-1). Calculate the density of the gas in the cylinder.

It's useful to start from the density formula and see what we need to find. The density is given by (rho) = m/V We know the volume V, so we only need to find the mass m. We are given the value for molar mass...
AS
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What is a standard candle?

A standard candle is an astronomical object that has a known absolute magnitude (intrinsic brightness). They are extremely important to astronomers since by measuring the apparent magnitude of the object the...
AS
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Solve the simultaneous equations: 2x-3y = 24 and 6x+2y = -5

There are numerous alternative ways to solve these simultaneous equations. For this problem, one of the simplest methods is to multiply the first equation by 3, so that we get 6x in both equations: (2x - 3y)...
AS
Answered by Augustinas S. • Maths tutor
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Which Real values of x satisfy 3/ln(x) = ln(x) + 2?

The problem with this equation lies with the denominator on the left hand side. If we recall our graph of ln(x) however, we know that ln(x) is always positive and not equal to 0. Now we can safely multiply i...
MH
Answered by Mark H. • Maths tutor
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