This is my basic understanding. One small use for them....
Maths functions are to describe relationships between things.
You can graph these relationships.
If the relationship is exponential, you can incorporate squared items.
But if the result is always -ve, it can be better to write the function with an imaginary number in it.
Then you can also manipulate the function without losing the property of a -ve square.

It is so variable that any advice besides "when you are thirsty" is pretty meaningless. There is wildly variable amounts of water in all the foods you eat and you lose water depending on activity, temperature, humidity, size, diet, and health. You can get some feedback from urine (clear is probably a little too much and dark yellow is not enough) but basically just listen to your body. It generally does a pretty good job.

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It's because of how recent the "invention" of electricity is compared to ideas like distance and weight.

Weights and lengths were things that all sorts of civilizations had to deal with (even the ancient ones) and so those civilizations all individually developed "units" that were convenient for them (or borrowed from their neighbors). So, after you get good and comfortable with your units over a few hundred years, when you meet some other country that says "Hey, your units are weird, why not use ours!" you tend to be like "No way, it is your units that are weird! Buzz off!".

Electricity, on the other hand, (which was invented and commercialized in the last couple centuries) was basically a brand new thing. That meant that the first country that had it was like "Hey, this is how it works and these are the units we use!" and everybody else was like "Okay, cool! Sign us up!".

But they DON"T exist?

Yeah, I pretty much said it’s not a fixed number for everyone. I said it’s typically determined by a person’s weight.

Fair point

Yes, I know. OP's title mentions 911, so I used 911.

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Whats been disproven it's not that people should drink x amount of water, that would be absurd, the problem is when people say "you have to drink 8 cups of water per day" which is false, most of the water we consume is through alimentation, people need their amount of water but it's not a fixed number, some people might need 8 cups others might not need at all

TLDR: The name imaginary numbers is bad and people would find it less futile if it was called Bob numbers

Lmaooo. How someone can enjoy gin and tonic is really beyond me. I can't unsee that when I see someone who likes it.

The simplest answer is they exist to provide a round about way to get to a legitimate real solution.

In the same way negative numbers exist in scenerios that should be impossible.

For example i have 5 apples and on a day I lose 7 I gain 3 5-7+3

Now its impossible to lose 7 apples if you only had 5. And yes you can re-arrange the order. Or you can just go into negative and get a legitimate solution.

The math didn't care that it might have been lost 2 found 2 lose 3 find 1 lose 2.

Looks like the SR-71 ran on two turbojet engines. The article states that the engines used some sort of compressor bleed to increase power for the afterburners at speeds greater than Mach 2, which kind of made it seem like it was a sort of “turbo-ramjet” engine, which I don’t think is actually a thing, but it was just a turbojet engine.

Tough-acting Acid Butt Wipes. Titrate that bicarbonate. Available at select Walmarts.

Also, thank you, fascinating stuff!

Tbf I started really understanding calculus once I was in Uni; I'm now studying engineering and I can integrate in my sleep lol

Or 112 (Europe and parts of Asia), or 000 (Australia), or 999 (many countries) or a plethora of other numbers world wide.

112 is the number that makes the most sense. The easiest to dial on older rotary phones taking into account that 111 could be accidentally dialed.

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What about the SR-71? I’m not too familiar but that plane did not have an alternate engine to get it airborne. Is that why the nose cone shifted, to make the engine behave more like a scramjet as opposed to a ramjet during certain phases of flight? Or was that more just to guide air into the intake better at higher speeds?

> integrating by parts

I guess it's a calculus class ? Good luck with that, it was dreadful for me; I had to do the class 3 times before passing the class lol

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The Americans tried to import the kilogram way back when, but the weight they brought with them was stolen by pirates: https://www.npr.org/sections/thetwo-way/2017/12/28/574044232/how-pirates-of-the-caribbean-hijacked-americas-metric-system

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>An ex of mine chugged everclear from the bottle

Oh boy

>because he thought it was vodka,

Oh boy

Answer: in addition to what others have said, even if everything else were the same, alcohol that tastes bad will generally have a lower demand than alcohol that tastes good, inducing good tasting alcohol to be more expensive, all else equal.