All Answers 358098 Answers

Yes, I know Kitty got it right.  She almost never gets anything wrong!

But the question specifically asked the answerer to use the binomial theorem

If anyone want to have a look at the binomial theorum this clip seems pretty reasonable.

Yes, i do hope so!  thank you  

@@ End of Day Wrap - Friday 6/6/14   Sydney, Australia   Time 9:20 pm

Great answers were given by reinout-g, Alan, Heureka, Zegroes, CPhill, NinjaDevo, Rom, Bertie, Sportslover, Narsin12, Kitty<3 and Rosala.

Narsin and Sportslover have join since my last wrap.  Zegroes and Rosala seemed to think they are also entitled to a formal welcome. So this is for all 4 of you.  Welcome to web2.0calc forum.  We hope that you learn lots and that you like it here.  

I didn't notice a lot of particularly interesting threads this time, maybe I wasn't looking hard enough.

I thought that this one was interesting and important for a couple of different reasons.  

Please take note of what Bertie and I have said.  It is important that you are interactive with your learning.  Answerers do not want to feel like they are just doing someone's homework and that the only thing that the asker cares about is the answer!  We want to help people learn!

I am sorry notsomathpro.  Our comments were not aimed at you in particular, I am sorry that you were the one in the firing line.

The question itself is also very thought provoking.  I hope i get around to looking at this question from 'behind the scenes'

Thanks, rosala....if someone can type it here.....what prevents them from typing it in the calculator???

Isn't 50% of something just 1/2 of that thing???

See if you can take it from there.......

P(Senior or Female) = P(Senior) + P(Female) - P(Senior  and Female)

P(Senior or Female) = 12/28   + 10/28 -  6/12  = 16/28 = 4/7

3.075 - 1.950 = 1.125 kg

$$\\x=\dfrac{2m}{3+2n}\\\\\\
x=\dfrac{2m}{3*\dfrac{2}{2}+2n}\\\\\\
x=\dfrac{\not{2}m}{\not{2}*\left( \dfrac{3}{2}+n\right)}\\\\\\
\boxed{x=\dfrac{m}{ 1.5+n} }$$

When it says for all a>0, it has already specified that a must be less than 1/4, so I think it means in the range 0<a<1/4.  I might be wrong about this as, for the (r,s) solution it explicitly gives the range as 0 to 3/16.

I calculated the iterates for starting values of (0, 0) and a few different a values (b = 1/2 in all cases).  They look like this:

Where succesive iterates are not converging they are clearly oscillating between two values.

Hope this helps rather than confuses!

(Edited to upload the correct figures!)

Actually, Melody, I think kitty<3 got exactly the same answer you did. She just took the coefficients to their "powers."

why dont u check it in the scientific calculator on the website , im sure ull get the answer as i got it for this question ! i could tell the answe rto u but i wont becoz u have to try it ! try it and see and tell if the problem still exists ! 

oh reinout , i wish i could help u but the math is like " from another world from me " so i cant help ! but i can give u my very famous " all the bast " lol! so i hope u succed in ur search for help ! 

if he wanted this then he should be much more clear ! 

ihr willkommen (thats german for ur welcome )

Haha, yes that was very helpful!

Dankjewel (That's Dutch for thank you)

Matrices (Heurika) 

Yes, it's functions that have domains and ranges.

reinout u didnt say anything about my " all the best " ? i think u forgot it ! 

The question actually says factor - which is strange since there are no pronumerals (letters)

Perhaps this is what the asker wanted.  But it is hard to tell.

45+2l^2 = 9*5+3*7*3*7 = 9*5+9*49 = 9(5+49)

Perhaps I do not understand the question correctly, but it seems to me that the answer is very simple.

The y coordinate changes by 1-2 = -1 and the x coordinate changes by -4--1 = -3

Therefore to me it seems like the vertical stretch is -1

Yes, that makes sense.

Thank you!

oh so i think u needed the common factor of 45 and 21^2 ! u should have written that ! 

9 is a common factor of 45 and 21^2