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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...

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 ...

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 obje...

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:

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 multipl...