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$$3y^8*y^7 = 3*y^{8+7}=3y^{15}$$

I did a post on this recently

Here it is

Thansk Geno :)

$$\\10 log (0.003/10^{-12})\\
\\=10log(0.003*10^{12})\\\\
=10log(3*10^{-3}*10^{12})\\\
=10log(3*10^{9})\\\\
=10[log3+log10^9)\\\\
=10log3+90log10\\\\
=10log3+90\\\\
=90+10log3$$

Mmm   That is a bit vague Mellie :)))

Calculus is a strand of maths that is used to find instantaneous rates of change.

It can be used in many different ways.  It is very poswerful and a lot of fun once you get the hang of it.

Thanks Mellie, you are right, there is no distict 'end' point :)

$$\\z\frac{z}{1.2}+5\\\\
=z*\frac{z}{1.2}+5\\\\
=\frac{z}{1}*\frac{z}{1.2}+5\\\\
=\frac{z*z}{1*1.2}+5\\\\
=\frac{z^2}{1.2}+5\\\\
=\frac{10z^2}{12}+5\\\\
=\frac{5z^2}{6}+\frac{30}{6}\\\\
=\frac{5z^2+30}{6}\\\\$$

1/2 : 5

1 :10        

Thanks Mellie,  

It is good that you gave your source :)

If you had broken your sentences up onto different lines it would have been just a little easier to read.

Just a suggestion :)

It is really good that you are answering so many questions :)

 (8*10^2)*(3*10^12)

$$\\= (8*10^2)*(3*10^{12})\\
= 8*10^2*3*10^{12}\\
=8*3*10^2*10^{12}\\
=24*10^{14}\\
=2.4*10*10^{14}\\
=2.4*10^{15}$$

Mmm

So the student can only wok on it between 10 and ll pm fri  sat and sun?

that's 3 hour = 180 minutes

180 divided by 5 will be the number of questions :)

Thanks :) 

1060000 is (400,000) X (2.65)

Excellent answer Millie, that is the only answer too :)

Thanks Mellie, you didn't see the recurring bit  :)

10*0.5555555....= 5.5555555....

  1*0.5555555..   =0.5555555...

subtract

9* 0.5555555...  = 5.0000000...

9* 0.5555555...  = 5

     0.5555555...  = 5/9

some sweets are shared in the ratio 3:8, Katie gets 32 sweets, how many sweets does pavel get?

You are right Mellie, the question is not expressed well.

But the figures do not work if Katie gets the smaller share because 32 divided by 3 is not a whole number.

So katie must get the big share.

The sweets are split into   3+8=11 portions

Katie gets 8 of those portions and she gets  32 sweets so each potion must be 32 divided by 8 =4

So

Pavel gets  3 lots of 4 sweets = 12 sweets

Nice answer anon :)

if f(x) = x^2, write f(x-1)+3 in standard form (ax^2+bx+c)

$$\\f(x-1)+3\\
=(x-1)^2+3\\
=x^2-2x+1+3\\
=x^2-2x+2$$

Thanks Bertie

This looks like 2 or 3 totally unrelated questions to me.

Pentagon?     triangle?      

Is this a serious question - Am I missing something ?

Thanks Geno and Bertie,

I have always found this really confusing Bertie.  I don't think that I ever knew the rule.   

I am repeating what you said because I want to cement it into my head.

$$\\(A^3)^2=A^3*A^3=A^6\\\\
but\\\\$$

A^3^2  =   $$=A^{(3^2)}=A^9$$

NOW I have discovered a new (LaTex) dilema.  

  How do I write  A^3^2 in latex without any brackets ? This it what I get.    $$A^3^2$$   

 The second caret (hat)  is ignored.     

I expect that  the wording of this question is very poor.

107 people are going.   2/3 are going

that means that 107   IS   2/3

so

1/3 would be half that much  =  1/2   of  107 = 53.5 children.

NOW,   unless some poor child got cut in half with a sharp axe, this is impossible!

.75. 1/4 is a quarter.A quarter is .25

That I why MathsGod has got a 1 after his name.  :)

Sorry Badinage

You can write to admin but you are not likely to hear back.  When people lose passwords they usually have to take a new name. 

:(