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Express 0.545454... as a fraction in its simplest form.

This problem can be solved by using algebra and rearranging as follows: Let x = 0.545454... Then 100x = 54.545454... If we then subtract x from 100x we get: 99x = 54 or rearranged x = 54/99 (This works to el...
PC
Answered by PETER C. • Maths tutor
17038 Views

What is a derivative and how do we calculate it from first principles?

A derivative, in essence, is the gradient of a function at a point, usually denoted by dy/dx, or f'(x). It essentially means the rate of change of y with respect to x. As many functions are complex, we can n...
TM
Answered by Tom M. • Maths tutor
3405 Views

v^2=u^2+2as, make "a" the subject of the formula.

v 2 =u 2 +2asv 2 -u 2 =2asa=(v 2 -u 2 )/2s as required
ML
Answered by Matthew L. • Maths tutor
18947 Views

The probability of getting heads on a biased coin is 0.8. You flip the coin twice. What is the probability of getting one each of heads and tails?

Step 1: Calculate probability of getting tails by subtracting 1-0.8 = 0.2.Step 2: Calculate probability of getting heads then tails by multiplying 0.8 0.2 = 0.16.Step 3: Calculate probability of getting tail...
NR
Answered by Nadya R. • Maths tutor
11121 Views

How do you multiply two brackets with two terms in them? For example (2x-3)(x+4)

We use the FOIL method to do this, where FOIL stands for F irst, O utside, I nside, L ast. So in this example we multiply the first term of the first bracket with the first term of the second bracket ( 2x -3...
OA
Answered by Oluwatose A. • Maths tutor
4515 Views