If an object that weighs 1 kg is dropped into a hole that is 3 kilometers deep, how many seconds will it take to reach the bottom?

I tried solving it and got the answer 25 seconds, and I want to see how accurate I was, given I do poorly in maths, so here's another question for the same situation:

If an object that weighs 1 kg is dropped and hits the ground after 25 seconds, what is the depth of the hole/distance it fell?

So I was talking with my teacher and he told me about how he discovered something he called Addition Factorial. This can be used to find out stuff like # of cheerleaders on a pyramid. The formula for this is (n\\\\\\\^2 +n)/2. So if there was 7 cheerleaders on the bottom instead of adding 7+6+5+4, you just do (7\\\\\\\^2+7)/2. I propose if this is not a thing instead of an exclamation mark you use a question mark So 7? = 28. Please ask if you need clarification or if my grammar is bad

This has been bothering me since I watched that one movie with Kevin Spacey and that one brooklyn 99 episode, it makes no logical sence and I need someone to explain it like im a R3tarded hillbilly.

(The irony is I dont even work in a field where math is imperative, its just genuinely driving me crazy)

i genuinely just dont understand math, its not that i like being stupid, i love learning things and i want to be better at math but i just cant understand it/get wayy to distracted

if anyone has any methods of learning that could help that’d be awesome :)

if it helps i rly like organizing, lists, and learning about nature and all of that………….

Okay so like. Everything in the entire universe has to have a beginning. Literally how time works. But then where does math come in? I’m seeing it in a sense of the original elements of the periodic table. When the numbers start, was only certain types of math available, due to the lack of large numbers? Like how there weren’t that many elements before the first stars supernova’d? So where did the numbers start? And as time increases to a point where we can reasonable comprehend beyond a googolplex, will there be more number

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Look, this might actually make no sense, but I would like to inform you, I’m an autist on strong levels of thc. If nothing else, I hope you got a laugh.
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Like, if one thinks about it, them there's no proper 2D object in this world.

Yes, we might say that a sheet of paper is a rectangle (2D object), but it has it's own thickness right?

So can one say a 3D object can be considered a 2D object if it's thickness is smaller than the possible thickness (Planks Length).

But that's impossible right, since to have something to exist smaller than Planks Length means it has to have the energy required for a flipping black hole.

So, then why did we study geometry? If I go by this reason, aren't there no real 3D figures? Then what exactly are we perceiving? What exactly am I supposed to do?

I realise looking through the posts in the group that this must sound super basic but I’m an adult (almost 40) and have forgotten how to do even the most rudimentary things that I learned at school - even things like long division etc. I think as an adult I’d be much more interested and would like to re-learn, could anyone recommend anything? Happy to try apps but would prefer either something online or books. Sorry if this is too basic for the group!

2^700, 2^(1/700): "Two to the seven-hundredth(s) power"

2^100, 2^(1/100): "Two to the one-hundredth power"

How could one VERBALLY differentiate paragraph 2's example?

I know its not really in the spirit of Maths/not the right attitude and everything but I need to pick a book to study from one of the following. To give more context, this is for the A-Level Further Maths exam where you need to do Core Pure, a Mechanics Minor module, a Statistics Minor module and one more module ... which is where the 4 following modules below come forth.

Also, I know its subjective for different people but if in any way you can rank them, it would be really helpful.

Here are the contents of the 4 modules from which I have to pick one, so which one is the easiest one?

Module Name: Extra Pure

Module Name: Further Pure with Technology

Module Name: Modelling with Algorithms

Module Name: Numerical Methods

Any help would be really appreciated. Thanks in advance. (this post isn't about completing my hwk or exam)

Stuck on this:

>Two cards are drawn one by one from a pack of cards. The probability of getting first card an ace and second a coloured one is (before drawing second card first card is not placed again in the pack)My attempt:

• P(Ace first) = 4/52
• If "coloured" = red (26 cards), but the Ace might be red too...
• Tried splitting cases:
  • Red Ace first (2/52) → 25 red left / 51
  • Black Ace first (2/52) → 26 red left / 51
• Sum = (2/52)(25/51) + (2/52)(26/51) = ? Doesn't match options.

Am I overcomplicating? Is "coloured" something else?

Today I found out that if we convert the digits of Pi into letters, then at some point we could find my name, the physics paper coming out next year, what's written in the Bible, or even the script of a movie that hasn’t been released yet.

Could this idea theoretically lead to future predictions in some way?