Melody

I've been mucking around with this for ages and I finally worked out how to do in in Wolfram Alpha.

how do you graph (x-16)^2=(1/2)(y-8)?? Obviously this is a parabola and the vertex is (16,8) but where do I go from there?? What is the focus etc? How do I know what the rest of the points are on the graph? 

This is of the form

\((x-h)^2=4a(y-k)\\ h=16,k=8,a=1/8\\ (x-16)^2=4*\frac{1}{8}(y-8)\\ Vertex\;\;(16,8)\\ focal\; length =\frac{1}{8} \text { so focus is }(16,8.125)\\ Latus\;r****m\;is\; 4a=0.5\; units \;long\;\\\ \text{so the ends of the latus r****m are }(16-0.25,8.125)\;\;and\;\;(16+0.25,8.125)\\ \text{i.e. two more points on the graph are }(15.75,8.125)\;\;and\;\;(16.25,8.125)\\ \)

Here is the graph :)

Any questions?  Just ask. :)

70000 N/m^3 µɛ 

N= ‎kg ⋅ m ⋅ s^-2

\(70000  ‎kg ⋅ m ⋅ s^{-2}m^{-2} \times 132\;µɛ\; \times 24.66/56.5mm \times 3.14/2\\ 70000  ‎kg ⋅ s^{-2}m^{-1} \times 132\;µɛ\; \times \frac{24.66}{56.5mm} \times \frac{3.14}{2}\\ \frac{70000  ‎kg }{ s^{2}m} \times 132\;µɛ\; \times \frac{24.66}{0.0565m} \times 1.57\\ \frac{70000*1.57 *24.66*132\;µɛ\ ‎kg }{ 0.0565s^{2}m^2} \\ \frac{6331640496\;µɛ\ ‎kg }{ s^{2}m^2} \\ 6331640496\;µɛ\; ‎kg \;s^{-2}m^{-2}\\ 6331640496 ‎Nm^{-3}\;µɛ\;\\ 6.331640496\times 10^9 ‎Nm^{-3}\;µɛ\;\\ \text{I do not know what }\;µɛ\; \text{ symbol means but you probably do. }\)

70000*132*24.66/0.0565*3.14/2 = 6331640495.5752212389380531

Here is another magic number puzzle :)

1, 4, 8, 9, 75 and  100              Magic number is   273

Answers here:

WOW

Heureka has found 10 more.   I am VERY impressed!

So that is 11 answers altogether !    

I doubt anyone can better that :)

Heureka, maybe you would like to post another puzzle for us ?

5 stars for your bruised brain  HSC.    

Just a little trivia :)

You know, where I live  HSC stands for Higher School Certificate which is a bit silly becasue there is no other school certificate :)

That is excellent guest :)

I did it exactly the same way.

I will now uncover my answer which may help people understand my thought processes.   

Here is my answer. I have also tried to give you some insight into how I went about it.

273

=300-27

=3*(100-9)

=(4-1)*(100-9)

No to the first question - yes to the second question.

Gee that was tricky!

Yes 

What - you think a calculator cannot have a sense of humour?