Let’s write that relationship as a formula: p = k x (1 / r^2) Where k is the proportion constant we need to find. When p=5 and r=2, let’s find ou...Learn more

First let’s find her total costs: 60 * 120 = 7200 40 * 200 = 8000 Total Cost = 7200 + 8000 = 15200 At a per kg level thia is calculated by doing...Learn more

To solve this, we must complete the square: x^2 + 5x + 2 = 0 x^2 + 5x = -2 (x + (5/2))^2 - (5/2)^2 = -2 (x + (5/2))^2 = -2 + (5/2)^2 (x + (5/2))^2 ...Learn more

There are 5 angles (or vertices) in a pentagon.

A stronger Bronsted-Lowry acid is, by definition, the stronger proton donor. The ideal bond angle between carbon atoms is 109.5 degrees. In cyclopr...Learn more

7x123 = 861cm (total height) This is the total height of all 7 students. From this we must subtract the person of height 147cm. 861 - 147 = 714 cm...Learn more

You spelled it correctly! Bioaccumulation is the build up of toxins in a food chain, so that animals at the top are most severely effected. Let’s ...Learn more

Most common math problems involve some form of multiplication. In school you are taught times tables so that you can be comfortable with solving the...Learn more

The essential equations, at least at GCSE level, I call them the “suvat” equations. They each contain some of the values below: s = distance travel...Learn more

Hi Kiara, by definition a prism is three-dimensional. A prism is a type of 3D shape with flat sides. It has at least two ends that are the same sha...Learn more

Down syndrome or Trisomy 21, is caused by a third copy (complete or partial) of chromosome 21.

I assume by theta, you mean x. Lets convert those degrees to radians first: 20degrees -> pi / 9 radians 180degrees -> pi radians 4(3^(1/2))sin(3x ...Learn more

Interpolation is a estimation of a value within two known values in a sequence of values. Example If at time = 0s my speed was 0kmh (0s, 0kmh) and ...Learn more

0^0 is mathematically ambiguous and has been debated for a long time. Some say it’s 1 because an exponent to the power of 0 is 1. Others say it’...Learn more

Hitler was the leader of the Nazi party (translated in english as the National Socialist German Workers’ Party). Before 1934, the Nazis had a para...Learn more

Since 2x2 is 4, the square root of 4 is 2.

The formula for income elasticity of demand is: elasticity = % change in quantity demanded / % change in price This is because we are looking for ...Learn more

Tensile stress is the stress state caused by an applied load that tends to elongate the material in the axis of the applied load, or in other words,...Learn more

When a system has reached a dynamic equilibrium at a given concentration of reactants/products, temperature, pressure and volume, then a change in a...Learn more

Since our objective is to find √300, we need to separate 300 into its factors, and ideally factors containing square numbers. Here are the steps: 1...Learn more

The Weimar Republic faced opposition from the outset in 1919, after the signing of the Treaty of Versailles. Economic hardship affected the whole na...Learn more

Before I went off to university, my dad gave me a tip. "Treat it like a job. Hit the books Monday through Friday 9-5. Work in the library, not your ...Learn more

The female of the two horses. She is “a stout motherly mare approaching middle life, who had never quite got her figure back after her fourth foal.”...Learn more

If we’re looking for the lowerbound of pi, the circumference C would have to be at its smallest and the diameter D would have to be at its highest. ...Learn more

At Google, and other tech companies I’ve worked at, I met software engineers (SWEs) with backgrounds from physics and maths all way to drama and Fre...Learn more

Shakespeare was an English poet and playwright, often regarded as the greatest writer in the English language. Some of his most famous works were Ro...Learn more