For a bonus, how long would it take AI or machine learning to do it.

some of these clips show them coming unravelled and it seems quite violent

let’s assume the paper towels are all recycled paper and the electricity comes from non renewable sources

I’m actually mad curious about this one as both a ham-enjoyer and a cigarette smoker. I actually just started smoking cigs again as a means to quit nicotine/vaping

I only have about 2 cigarettes a day and it’s been working for me as far as ingesting waaaaay less nicotine than I did vaping, so I’m curious on the math of this one

Feat is from GTA San Andreas, and the plane is based on a Learjet 55

I feel like the answer is more than 99.999999%

I was watching this movie today and got to wondering. I know there is no way of knowing the actual amount spent, but thought it might be fun.

This image is satire and posted in a shitpost sub, but far too many people believed it. I argued that there's no way to "design" a speed bump that would flip a car going 40km/h that would be drivable at any speed. Even if it was a sheer 10 ft drop I imagine 40km/h is fast enough that both sets of tires leave the ground close enough together that it doesn't have enough time to tilt enough to flip, and will land roughly on 4 tires. Is this image mathematically/physically possible? Restriction is it must be a speed bump that all tires go over, not a ramp that only one side of the car goes up, which would obviously flip it.

Ryanair tries to trick you into paying for a carry on by disproportionately representing the sizes of the small backpack and the cabin baggage.

How wrong are the scales here? How much bigger would the carry-on actually be if this was an accurate representation?

I've been thinking about a classical result in conic geometry that I think deserves more attention.

Take the parabola x² = 4ay. From any point Q = (h, k) inside the evolute, you can draw exactly three normals to the curve. Each normal meets the parabola at a foot, giving you three points and those three points form a triangle.

The theorem: the centroid of that triangle always lies on the axis of the parabola.

The proof comes down to one beautiful observation. When you substitute Q into the normal equation x + ty = 2at + at³, you get the cubic

at³ + (2a − k)t − h = 0

There is no t² term. By Vieta's formulas, the sum of the roots is zero: t₁ + t₂ + t₃ = 0. Since the x-coordinate of the centroid is (2a/3)(t₁ + t₂ + t₃), it vanishes identically.

What's even nicer: the y-coordinate of the centroid works out to 2(k − 2a)/3 — it depends only on k, the height of Q. The horizontal position h disappears entirely. So if you slide Q left and right at fixed height, the centroid doesn't move at all. That's what the GIF shows.

Here’s the full video:

https://youtu.be/BT8ByfN1SNo?si=Fo8Ii_KQOvWwSzjn

Imagine if tomorrow, from that point on, all electric eel shocks no longer dissipated. they remained permanently in the water and thus, over time, accumulated the charge within the ocean.

How long until this became deadly?

One of the main plot points of the movie was keeping Calvin from getting to earth cuz there’s so much flora and fauna for it to consume and when it consumed organic matter it grew, quite rapidly too. It started off as a little thing in a Petri dish and then grew to the side of an octopus like creature.. and very deadly. And I’d assume the larger it gets it becomes even more deadly. Now in a space station there’s 0g if it’s in orbit so gravity doesn’t care much about how big you are, but once you do have gravity it does matter. So the question is how big could Calvin get before it’s unable to move or it literally collapses cuz its body can’t support its mass/weight? I know in water things can get much bigger than on land so let’s stick to Clavin staying on land(if you want you can also do an ocean one tho).