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Find the cube roots of unity.

Unity just means 1, so we need to find all z such that z 3 =1. However, although we can immediately see that z=1 is a solution, when dealing with complex numbers some solution may not lie on the real axis. T...
ET
9713 Views

Which liquid would you expect to have a higher boiling point, Bromine (Br2) or Iodine I2)? Explain your answer.

Correct answer: Iodine . The asymetirc distribution of electrons leading to an instantaneous dipole would be greater for Iodine than Bormine as it has a higher number of electrons surrounding it's nucleus. T...
JW
Answered by Jack W. • Chemistry tutor
8257 Views

In a sale, the original price of a bag was reduced by 1/5. The sale price of the bag is £29.40. Work out the original price.

We currently have 80% of the original price and aim to find 100%. We know that 80% is equal to £29.40. Dividing £29.40 by 80 gives the value of 1% which is £0.3675. Multiplying this by 100 give the desired 1...
OB
Answered by Oliver B. • Maths tutor
14496 Views

c is a positive integer. Prove that (6c^3 + 30c) / (3c^2 +15) is an even number.

We aim to factorise the numerator. This would give 6c(c^2 + 5). We then factorise the denominator. This would give 3(c^2 + 5). Since (c^2 + 5) is present in both the numerator and denominator, it will cancel...
OB
Answered by Oliver B. • Maths tutor
9299 Views

What determines whether something is acidic or basic?

The pH of a particular substance depends on the functional groups that it has within its structure. What is a functional group? A functional group is a group of atoms and bonds within a molecule. The way the...
EA
Answered by Emily A. • Chemistry tutor
18139 Views