"Definitely. Let's assume that you go to Walmart and get yourself a 70.8 gram bottle of extra fine doom. You then load up your hypervelocity shotgun with it and accelerate those grains to 99% of the speed of light.

By the lorentz factor, your glitter now contains 91 grams c2 of kinetic energy. By E=mc2 , you now have 8 terajoules of energy, or around 115 times the energy released during the Hiroshima explosion. If this glitter were an asteroid traveling at classical speeds, it would have the destructive potential of the asteroid that created Meteor Crater in Arizona. There are very few things that could withstand that. While the exact mechanics of what would happen depends heavily on the target, it's safe to say that all but the most hardened structures would not survive."

"It takes 42 adult-minutes to build a snowman.

It takes 63 child-minutes to build a snowman. Therefore, 1.5 child-minutes = 1 adult-minute.

If all 6 people are working together, they collectively do 3 adult-minutes and 3 child-minutes of work per minute, or (converting) 5 adult-minutes per minute.

Hence, it will take 42/5 = 8 minutes, 24 seconds to build the snowman."

"There is a mathematical operation called concatenation (with symbol ||) that just combines two numbers. For example, 23 || 71 = 2371.

Therefore, 9 || 9 + 9 / 9 = 99 + 1 = 100"

"Shakespeare wrote 884,647 words, according to this article. The average word in the English language has 4.7 characters, plus spaces, so we'll assume he wrote 5042487 characters.

The average human types about 40 WPM = 200 CPM = 105,120,000 characters per year, which is about 100 times our Shakespeare set. I'll assume this is the amount a monkey can do.

Also assuming the monkey can only press one key at a time, and using lowercase letters, ,.-!?"() and space, there are 35 relevant keys on our idealised keyboard.

The probability for every set of 5,042,487 characters to be Shakespeare's works would be 1/35^(5042487). For comparison, there are about 10^80 atoms in the observable universe.

It would take about 35^(5042487) strokes, and this will not be significantly change whether we use 40WPM or 1 character per year, so we can say it will take more than 35^(5042487) years"

"Basically it would be impossible. You would need enough fans to cover the radius of the hurricane, all spinning fast enough to blow winds of an equal strength of that hurricane, which a regular standing fan does not have the power to do"

"So, lets do this rigourously. First off, I'm using the average weight for European people (average of all, male and female). The toxicity data on humans is always a bit complicated for ethical reasons, therefore I can't use a LD50. Instead, I use the LDlo, the lowest dose of caffeine which ever caused death of an human. It is averaged over man and woman LDlo as both diverge quite significantly. Also, I'm on mobile, so please excuse the formatting.

m(average human, Europe) = 70.8 kg

LDlo(human) = 192 mg/kg

m(deadly dose) = 70.8 kg • 192 mg/kg ≈ 1.36 • 104 mg = 13.6 g

m(Caffeine in 237 mL Coffee) = 96 mg

m(deadly dose of coffee cups) = 1.36 • 104 mg / 96 mg ≈ 142 [cups]

Henceforth, this comment is wrong. Even if you make extraordinary strong coffee with 200 to 250 mg caffeine, the deadly dose would still be higher than 42 cups."

"Assuming you’re given all the side lengths/angles you need, split up each face into a bunch of triangles/trapeziums and find the area of all of them and add them all up"

"It says in an article he "accumulated 30 million miles". Whilst it's not clear if all of that was under the lifetime pass, you could presume that's what it means. If you know the AA air miles accumulation rate, you could possibly work out how many miles he flew, rather than the number of flights."

"1 tablsespoon of mayo is about 13.8g

this means with 308k likes is makes about 4250.4 kilos of mayo that he has to eat

the energy of those 308k ablespoons is about 120.7 gj or 120'736'000kj devided by the recomended energy intake of 8700kj a day the mayo alone wozld last you 13877 days which is 38 years."

"Ok I see now. 1$ wasn't the og price. Feels like a flip to make you assume.

x is the original price

1 is an additional dollar on top of half the original price.

Therefore x = 0.5x + 1

adding the implied 1.0 to the X for clarity and format

Subtracting the half from both sides

1.0x = 0.5x + 1

-0.5x -0.5x

turns out to be

0.5x = 1

0.5x = 1.0

÷0.5 ÷0.5

1/1 ÷ 1/2 < side work for the right side 1/1 × 2/1 because two fractions divide is equal to the latter fraction flipping and multiplying 1 x 2 = 2

therefore x = 2

God damn I thought it was 1.5$ because I assumed 1 was the initial cost when really cost = (1 + 0.5price)"

"That looks to be a 16 oz (473 mL) wide mouth mason jar. Reese’s Pieces are about the same size as m&m’s (for which there is more data available). M&m’s range from 0.6-0.65 mL in volume, and have a packing density of about 68%.

pieces = jar volume * packing density / piece volume

So

473 mL * 0.68 / 0.6 mL = 536 pieces maximum

473 mL * 0.68 / 0.625 mL = 515 pieces average

473 mL * 0.68 / 0.65 mL = 495 pieces minimum"

"For a start, Wiles' proof of Fermat's Last Theorem was 129 pages long.

Wikipedia's summary of the proof is itself approximately 5,700 characters long.

So you wouldn't be able to fit that into a password which was just 732 to 942 characters long."

"This demonstrates the gamblers fallacy. It is the incorrect belief that, if a particular event occurs more frequently than normal during the past, it is less likely to happen in the future"

"A 14" pepperoni pizza from Dominos is 2240 calories, per their online calculator. 28" is 4x the area, so 8960. Divided by 2, that's 4480. 32 oz of full-sugar Coke is about 400 calories. So if you factor in inaccuracies with all the multiplication, you'd probably want to round it to 5000 per person"

"It is supposed to say “One* digit is repeated” not “Ones”.

The correct answer is 24,849."

"I am a locksmith.

Each button can only be pressed once. Pressing multiple buttons simultaneously is allowed. Not all buttons must be pressed.

There are over 1000 combinations, so you would think that it would take less than an hour to try them all if each attempt took 3 seconds."

"No. The Carbon Majors Report which this statistic comes from only looks at industrial emissions, not total emissions, excluding things like emissions from agriculture and deforestation. It's also assigning any emissions from downstream consumption of fossil fuels to the producer, which is like saying that the emissions from me filling up my car at a BP filling station are entirely BP's fault. These "scope 3" emissions from end consumption account for 90% of the fossil fuel emissions.

In addition, it's technically looking at producers, not corporations, so all coal produced in China counts as a single producer, while this will be mined by multiple companies."

"Dumping a big ice cube in the ocean will only postpone the inevitable, what you want to do is vent all the gas from the combustion engines directly upwards at noon, all at the same time from the same location, that will cause the Earth's orbit to be a little bit further away from the sun, that'll cool down the water. It would also make the orbit bigger, which would add an extra week to the year, I propose we call it Robot Party Week"

"Using Kwaloon Walled City as a reference (which is apt given the image), you can have a stacked population density of 1.5 people per square meter. Due to the height here, I think we can triple that to 4.5 people per square meter.

That ship is vast. I can only estimate the dimensions poorly, but let’s go 150m by 1000m.

That’s 150 x 1000 x 4.5 people, or 675 000 people.

For reference, Peach Trees (from the amazing Dredd) had only 75 000 residents."

"Just say by Peano's axioms. The later of which basically state that there is a successor function S(n)=n+1. So if you plug 1 in S(1)=1+1=2. It's just that simple. You can alternatively use the different set of axioms in 1910 Whitehead/Russell Principia Mathematica, rather grandiosly named for the book by Newton. That makes the problem harder, but some axioms needed for it can be proved using Peano's axioms, so there is really no point to doing things the hard way."

"The boat is approximately 19 pixels high to the deck and 64 long if I match it with a circle with r 1118 pixels that matches that curve. (I did this quickly in Paint, so it's a very rough estimate.)

The earth has a radius of 6371km = 1118p

Thus 5.69km = 1p

Boat length = 64p * 5.69 = 364.708km long

Boat Height = 19p * 5.69 = 108.272km high

So according to my rough calculations, the boat's deck would officially be in space.

The front sail is 42p high, so 239km"

"The age of the Earth is probably closer to 4.5 billion, but that's whatever.
Homo Sapiens has been around for around 300,000 years. Relative to the age of the Earth, that's 3 * 105 / (4.5 * 109) = 3/4.5 * 104 = 1/15,000 = 0.000666...

Taking 45 years and multiplying it by that factor gives us the scaled-down value. But let's first convert 45 years into seconds (screw leap years):
45 years = 45 y * 365 d/y * 24 h/d * 60 min/h * 60 s/min = 1,419,120,000 seconds
1,419,120,000 s * 1/15,000 = 94,608 s = 94,608 / 3,600 s/h = 26.28 h.
So that's already off.
Maybe they meant something else by "we have been here" - but I'd say the emergence of Homo Sapiens is the most reasonable interpretation.

Moving on, the industrial revolution began around 1760, that's 2023-1760 = 263 years ago.
Same method as before. First get the fraction of Earth's lifespan:
263 / (4.5 * 109) = 5.8444... * 10-8 =~ 1/17,110,266
Then use that as a factor on our 45 years in seconds:
1,419,120,000 s * 1/17,110,266 =~ 82.94 seconds.
A bit more than a minute, but close enough, I'd say.

Regarding the "50% of the world's forests", Wikipedia has the following to say:

About 31% of Earth's land surface is covered by forests at present. This is one-third less than the forest cover before the expansion of agriculture, with half of that loss occurring in the last century.

One-third less since the expansion of agriculture is not the same as 50% since the industrial revolution.
But then we could argue about the meaning of "destroyed"..."

"Theoretically yes, depending on what the data is like.

If I have a binary data file that's just 10^100 ones I can fully represent it with the words "ten raised to the power of one hundred ones". That's technically data compression in so far as a program could take it and use it to recreate the original file somewhere else. It's just not very useful because there was no actual information in a file that's all ones.

To get 55.4 yottabytes compressed down to 2.62 MB you'd need the data in the original file to contain almost no actual information or you'd need to use a compression so lossy that you'd lose almost all the information in the original file."

"There is an infinite number of answers, but in first grade I probably would’ve drawn two dots positioned arbitrarily in the fourth box."

"First of all the the longest Odachi is Haja-no-Ontachi, with a length of 465cm

Second of all the longest odachi (that I know of) used in combat was Taro tachi, a 288 cm long odachi wielded by Magara Naotaka who was 210 cm himself. So he would have to be 274.9 cm tall to wield a 377 cm odachi while having the hight to sword length ratio.

That would be 9 feat tall btw"

"~22,000 breaths per day = ~562.485 million breaths so around $140.6 million in 70 years

in 80 years the avg moderately active person takes ~216,262,500 steps, so we can average this to ~2.7m steps/year, and subtract the first year since most 0-12mo olds don't walk, especially not 2.7m steps in that year, we get $186.3m

$100/day for 70 years is $2.55m, by far the worst choice so far

Words vary from 2000-20,000 per day, and generally starts around year one. Assuming you want to maximize money, people can speak ~150WPM, and could realistically spend ~16 hours/day talking (assuming like 5 hours sleep and some amount of time eating where you can't really speak), so this could potentially be ~144,000 words/day, so assuming you never stop talking while awake for 69 years after you start, this comes out to ~$1.813 Billion. Realistically it's probably closer to $1 Billion because talking constantly for 16 hours a day would be very difficult.

making moves and breaking bonds are the wildcards....theoretically you could break billions of bonds if you, say, controlled a fission reactor, so there's potential for virtually unlimited money here."

"I got 24, 6 per layer.

3 for each side ( left-middle-right to the top), left and middle, right and middle, and the equilateral of the whole thing."

"Assuming this is only the credits, that a line of credit is onscreen for 5 seconds, and that there are 10 minutes of credits:

We get a total of 600/5 = 120 full screen heights. I don't really know how large a cinema screen is, but assuming 5 meters we get about 600 meters tall."

"120 is correct. 5! or 5 factorial is also 120."