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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 g...

PC
Answered by PETER C. Maths tutor
16778 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 ca...

TM
Answered by Tom M. Maths tutor
3275 Views

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

v2 =u2+2asv2-u2=2asa=(v2-u2)/2s as required

ML
Answered by Matthew L. Maths tutor
18693 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 0.80.2 = 0.16.Step 3: Calculate probability of gettin...

NR
Answered by Nadya R. Maths tutor
10895 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 First, Outside, Inside, Last. So in this example we multiply the first term of ...

OA
Answered by Oluwatose A. Maths tutor
4361 Views

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