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Given a material with dimensions 1.5 x 1.1 x 1.6 mm ^3 and a mass of 0.5kg. What is the density of this material? Give your answer in kg/m^3

First it’s important to check units, we notice that the dimensions are given in mm. Therefore in order to convert this to m^3 we need to multiply the volume in mm by (10^-3)^3 which gives us 2.64 x 10^-9....

Answered by Davina V. • Maths tutor

1901 Views

If L1 is y = 3x + 15 and L2 is 3y + 20 = 9x show whether or not L1 and L2 are parallel.

Theory - Two lines on a graph will be parallel if their gradient is the same. The general equation of a line is y = mx + c where y and x are variables, m is the gradient and c is the y intercept. hence if...

Answered by Chris M. • Maths tutor

2206 Views

How do i answer a problem solving question if I don't know where to start?

This is a very common question as many people tend to not know here to begin in regards to answering most problem solving questions generally. My advice would be to approach the question the way i would; ...

Answered by Elizabeth M. • Maths tutor

1932 Views

f(x) = (x + 1)^2 and g(x) = 2(x - 1) Show that gf(x) = 2x(x + 2)

For this question, as we are looking for gf(x) so we first need to plug in our formula for f(x) into the g(x) formula, giving us:
2((x+1)^2 - 1)
We can then expand our squared bracket to get:

Answered by Django M. • Maths tutor

2323 Views

y is inversely proportional to x. When y = 2, x = 3. Work out the value of y when x = 18.

We have that y is inversely proportional to x, which we write mathematically as y ∝ 1/x. We need to be able to solve this, so we re-write this expression as an equations, y = k/x, where ...

Answered by Lauren M. • Maths tutor

13310 Views