Melody

@@ End of Day Wrap - Tuesday 17/6/14   Sydney, Australia   Time 11:35pm 

सभी को नमस्कार    

According to Mr. Google, this says hello everyone in Hindi.  Hindi is Rosala's primary language.  I am sure that she will correct me if I am wrong.

Rosala, thank you for wishing me a good week.  But I am wondering why you didn't like my wrap.  I am sure if you liked it you would have given me a thumbs up.  lol

Great answers today from Rosala, CPhill, Alan, reinout-g, zegroes, NinjaDevo and Heureka.  Thank you all. 

Here are the interesting posts for the day:

#Introductory Calculus (do you think this one might be worth adding to your list Ninja?)

Thank you Jedithious.

We always appreciate your excellent manners too!

52 letters to choose from 6 letter permutations  That is 52P6

$${\left({\frac{{\mathtt{52}}{!}}{({\mathtt{52}}{\mathtt{\,-\,}}{\mathtt{6}}){!}}}\right)} = {\mathtt{14\,658\,134\,400}}$$

The ns cancel out

2/3

 By Heureka

       $$\boxed{\begin{array}{lrcrcrr} (1) &5x & - & 14 &=& a &\\(2)& 2x& + & 1 &=& a &\\&--&-&--&-&--&\\(1) - (2)& 3x&-&15&=&0 & \quad | \quad :3\\&x&-&5&=&0 & \quad | \quad +5\\&\textcolor[rgb]{1,0,0}{x}&&&\textcolor[rgb]{1,0,0}{=}&\textcolor[rgb]{1,0,0}{5} &\end{array}}$$

\boxed{\begin{array}{lrcrcrr} (1) &5x & - & 14 &=& a &\\(2)& 2x& + & 1 &=& a &\\&--&-&--&-&--&\\(1) - (2)& 3x&-&15&=&0 & \quad | \quad :3\\&x&-&5&=&0 & \quad | \quad +5\\&\textcolor[rgb]{1,0,0}{x}&&&\textcolor[rgb]{1,0,0}{=}&\textcolor[rgb]{1,0,0}{5} &\end{array}}

Thumbs up from me for both of you.

okay so can you get the same calc answer as me?

It is not slang zegroes.

You just need an ordinary dictionary or you can just google it!

What is the volume of 425 g of ice, if the density of the ice is 0.92 g/mL?

Something that people often do not understand is that you can cancel units just the same as you can cancel numbers!

This is what you have.    

$$\frac{425g}{1},\quad \frac{0.92g}{1ml} \qquad \mbox{ and you want to find a volume which is mL}\\\\
\mbox{Put the mL first and on the top}\\\\\
\frac{1ml}{0.92g}\times \frac{425g}{1}=\frac{1ml\times 425}{0.92\times 1}=462ml\quad \mbox{to the nearest ml}\\\\$$

NOTE: 

1) The grams cancelled out.

2) When fractions have units it is alright to turn them upside down.

for example 5km/1hour is the same as 1 hour/5 km

On the web2 calc it is 

nPr(6,2)=

on your hand held calc it is probably 6  shift  nPr  2 =

nPr is usual the 2nd function one. the main thing on the top of the button is most likely nCr  can you find these symbols on your calculator rosala?