Hamilton Math

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@mechanismguy 18 күн бұрын

I think what is surprising about it is that the answer doesn’t depend on the size (radius) so you get the same answer for a basketball and for Earth.

@brightrrs1740 19 күн бұрын

Thanks for the football fields, but could you include washing machines next time? I don't like volleyball.

@hamilton_math 19 күн бұрын

Noted! lol

@samroyer1081 20 күн бұрын

I was kinda surprised, but mark explained it well enough for me. Now the other thing to think about is units of numbers and units of measurement... For example if they wanted a rope 1 mile away it would still be that magic number 6.28, but miles instead of feet. Also question; does this example of only needing a small amount still work if you increase the unit of number? For example 5 feet instead of 1?

@hamilton_math 19 күн бұрын

Thanks for your comment, Sam! Mark's explanation is good and simple. I wanted to get into a fuller mathematical explanation since my channel is all about math. Good point about units. That is absolutely true. But in the case of one mile more, you would need 6.28 MILES more rope. In regards to the question you asked, since circumference = 2*pi*r, that means that if you increase the radius by 5 feet instead of 1 foot, you are increasing by 2*pi*5 = 6.28*5 which is approximately 31.4 feet more rope.

@thomasvladimirmulenga8382 Ай бұрын

Amazing stuff ❤

@AdengMabor-nu4uf 2 ай бұрын

Good

@emmaraposo3478 3 ай бұрын

Thank you so much!! The third one was never explained properly to me

@goodluckmichael-ci5cl 4 ай бұрын

❤

@JemimahBileg-wo1xq 4 ай бұрын

Please what text book are you using

@hamilton_math Ай бұрын

This is the textbook I use - Nelson Functions 11 - school.nelson.com/nelson-functions-11-12-month-online-subscription/ The examples are not taken directly from the textbook, but are examples that use the rules from the textbook section.

@user-bm8dd9mt4b 5 ай бұрын

❤I like this video

@mangoman9290 9 ай бұрын

6:01 - I prefer to look at it like a reverse home loan. Initially you are spending the interest and not making much of a dent on the principle but as the years progress and the principle diminishes it generates less interest and so you eat into the principle more until finally it is gone at 95.

@hamilton_math 6 ай бұрын

Thanks for your comment. Good perspective!

@damianschmitt9752 9 ай бұрын

Great video; thanks so much for including that formula!

@michaelzimmerman2634 10 ай бұрын

"promo sm"

@MartinPerez-oz1nk 10 ай бұрын

THANKS PROFESOR !!!!, VERY INTERESTING !!!

@hamilton_math 6 ай бұрын

Glad you liked it! Numbers have some amazing patterns, that is for sure!

@PeterAhChing-lp4zm Жыл бұрын

Thank you ❤❤

@PeterAhChing-lp4zm Жыл бұрын

❤❤❤

@ziadnaffakh7685 Жыл бұрын

Finally got a good explanation

@maagu4779 2 жыл бұрын

Family 2: Focus varies

@hamilton_math Ай бұрын

Thanks for letting me know. It might have been your internet connection as it doesn't seem to vary for me.

@leevelsa4871 3 жыл бұрын

What does the f stand for in the range???

@16piecemcnuggetmeal18 3 жыл бұрын

doesnt stand for anything. f(x) is basically another (more advanced) way of saying y. it doesn't mean that you're multiplying f with x so dont get confused.

@FATIMA-nf3ql 3 жыл бұрын

This honestly helped me SOO MUCH tysm for making this:)

@mahdog3855 3 жыл бұрын

thnx hope won't fail for the 69th time

@youssefanbar8019 3 жыл бұрын

Great video

@monoki8708 4 жыл бұрын

Epic video my good sir. Much help. very epic. thank you very much. your contributions will be remembered.

@farquad606 4 жыл бұрын

VERY COOL!! THANKS HAMMY

@severanceflames2201 4 жыл бұрын

Россия спасибо за это видео во время квартина, все школы закрыты ((

@DexSybaris 4 жыл бұрын

This video is good

@elijahlaliberte4495 4 жыл бұрын

Wait, did the sled turn into a roller coaster?

@andrewhamilton5341 4 жыл бұрын

You have to use your imagination Elijah, like Calvin and Hobbes!

@elijahlaliberte4495 4 жыл бұрын

Isn't air resistance caused because the air under or in front of an object cannot move out of the way fast enough and therefore holds things as they are, not just as a cause of friction?

@everettsimmons7219 4 жыл бұрын

Very well made. 10/10

@tyrelluchies2214 4 жыл бұрын

mucho beuno

@mehakvirk3600 4 жыл бұрын

Amazing Video God Bless U

@rentinghouseseveryday3739 5 жыл бұрын

Thank you

@abbyherondale4725 5 жыл бұрын

Thank you! It really helped!!!

@selah2613 5 жыл бұрын

thank you

@PeterAhChing-lp4zm Жыл бұрын

Hi finally got a good researching

@selah2613 5 жыл бұрын

Finally.

@PeterAhChing-lp4zm Жыл бұрын

@jpirving9766 5 жыл бұрын

If the leading quotient was not all equal, would we still have a quadratic expression?

@hamilton_math 5 жыл бұрын

Hi JET, I think you mean to ask that if the coefficient in front of the x^2 term was zero, would we still have a quadratic expression? The answer is no. This is because we would end up with a linear function since the highest power of x would then be just x to the power of 1.

@Joseph-rs7it 5 жыл бұрын

not sure if you'll see this but this is proof I watched it because play posit wasn't working

@noahlau773 5 жыл бұрын

lets see if we can reach 10 likes

@Vialect 6 жыл бұрын

thank you so much !!

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