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My expression for τ above is incorrect.  It should be:

$$\tau=\frac{A}{a}\sqrt{\frac{2h_0}{g}}$$

Well, I'm still answering questions.

WHAT is Didig up to?

WHAT ELSE is Didig up to?

Thanks for sharing!

Didig is quite suspicious...

So, what is the total number of ones and threes?

Seven-S=even

Answer:729

All explained in the name...

no. It means add. 

Try them all out

1&92, 2&46, 4&23, 

2 - if it is even

3 - if they add up to something divisible by three

4 - ends in 0 or something divisible by 4

5 - ends in 0 or 5

6 - is divisible by three and two 

9 - is divisible by three and try it

10 - ends in 0

11 - a double number (ex 55)

first multiply it out

1/3(6x-3) = 1/4x -2

= 2x-1 = 1/4x -2

add one on each side

= 2x = 1/4x -1

multiply by 4

=8x = x-1

subtract x

=7x = -1

divide 7

= x= -1/7

If the long side squared = the sum of the 2 short sides squared then it MUST be a right angled triangle.

Yep must be the red !

$$2^{-3}-3=\frac{1}{2^3}-3=\frac{1}{8}-3=-2\frac{7}{8}$$

Are you sure that "red"  isn't something in that glass you're drinking????

Your pic... It is a dark red car!!      Maybe those glasses of yours are a tad too dark!      :/

Are you trying to confuse the h**l out of me?  It is working !!      :)) 

Huh????

What are you talking about???   I am looking at a shiny new car !@@

It takes me a maximum of 4 weighings.     (could get lucky and do it quicker)

Point D [located at (0,0)] is the bottom left corner (vertex) of the lake..... point "E"  [located at 20, 20] is the lower left vertex of the island.....between D and E  is the water......and  AB is the plank laid across the water anchored at both ends on dry land.....

The second plank - 19 ft long - spans CE  = the distance [ about 18.78 ft ] from the middle of the first plank to the lower left vertex of the island

Almost the same as equations

except, you turn the sign around

1) if you mult or div by a neg number

2) if you swap sides

3) if you take reciprocals

I am a little confused as to how this is a pic of the situations Chris,         LOL

The first perfect square that ends in 9  is 3^2

The next one is  7^2   = 49

So  7^2  - 3^2   =   49 - 9  =   40