Melody

Thanks for those clips Denzel,    

I am just listened now and i have enjoyed both.

I enjoyed Ballade pour Adeline more than the last of the Mohicans but I do enjoy Celtic music.

There will be more Celtic clips that will come up after this one so I will settle in and listen for a bit :))

Thanks for sharing.   

Yes it is always good when we get feed back of the question asker.  

I haven't answered this question Denzel because it doesn't make sense to me.     

I could just simplify the ratio I guess

4.1:1.7  =     41:17

but that is probably not what you were after :/

Thanks Chris,

Mmm I can't think of any others either but I would like to see a proof or a concrete demonstration that there are no others.   

Thanks Geno.

I like questions like these.  

Many people are capable of trying them , if they are patient enough then they can probably get an answer by themselves, but if they look at your answer as well then they could learn a lot.    

These questions are great for gaining understanding of how numbers 'work'.

4x-8(y-2z)=4x-8y+16z

just remember that the - belongs to the 8

so this is really like        

4x+   -8(y-2z)

4x+     -8y  -8*-2z

4x+     -8y  +16z

4x - 8y +16z

It would also depend on whether it was U.S. doallars or Australian dollars or some other currency.  

hi anon,

This is an inverse function question                   (Factorials are something completely different)

Hi Anon,

It says sine theta of 1.03,  this is poorly written but I interprete it to mean sin of theta given that theta is 1.03

If it means     $$sin\theta=1.03$$    , as you have interpreted then there would be no answer because 

the range or sine theta is -1 to 1 inclusive.

Laoze,

The little hat means "to the power of"   it is standard notation.

It is often called a  'hat' but its real name of the character is caret