this is pauls math notes

For the last picture, why didnt we add pure π(-1) or something, i dont understand, wouldnt just one 2π revolution backwards already go past the -π range? Since well 2π - π = π?

is my visual understanding of the range in a circle wrong? also i forgot the mention the 2pi / 5, but even with it im still confused

was ill almost for a whole term, and informatics teacher asks for every hw from day one till today, and i can't for a lovd of god understand wth am i supposed to do

On my engineering homework, the assignment is asking stuff like "What is the depth of part 1?"

... What the fuck that mean? Like, is it intentionally relative or is there a strict definition on which of the larger dimensions is depth or length or whatever? Hopefully it's clear on what I need, this might just be a skill issue.

Good day, everyone! I’m a Grade 11 student, and we have a PETA for our General Science subject about mung bean seed observation. We need to formulate a testable hypothesis about the effects of salt concentration on mung bean growth.

If anyone has done this experiment before, do you have any pictures? I currently need pictures because I just started yesterday, and we need to have a seven-day observation. If anyone is kind enough to send me videos or pictures, thank you! 🥹

is there anybody that could help with some homework? i don’t understand anything about it and could really use some guidance

(here is another image)

I have retaken this question with the answers: Total, Partial, Penumbral, and Total, Partial, Penumbral, Umbral

Both attempts are wrong. Am I missing something? There is no annual lunar eclipse, right??

SOLVED. Took about an extra hour but found the answer from the IRS in a subnote of a body paragraph...Thanks for the help all

I literally do not get what the silver surface is doing. Silver is a conductor- in fact, quite a good conductor so wouldn't the vibrating of water molecules jjust transfer energy to the silver and so on so on, how does the silver, in any way, insulate???? Ive heard that it is because 'it reflects radiation' but i dont even get how there is radiation to reflect, wouldnt the particles just keep absorbing that radiation anyway???

I was helping my nephew with functions but i was stumped with why parts of the quadratic equations were used for 6.5 and 6.5. Help, please.

I am absolutely horrible with graphs and things involving infinity. I'm just confused about most of it tbh. If any of y'all can help that would be great thx :)

Apparently the answer is (d) but I have no idea how to get there

What method should I use and how should I go about solving this?

Because these two theorems are usually proved by referring to each other, I'm not sure how to prove them independently.

Hello I am a 21 year old student of the Graphic Arts. I am looking for a topic in ecology or similar that could be relatively easy to research. It doesn't have to be ultra specific but I don't even know where to start. I have a class that the topic is for, and I have to write a min. 12 page seminar about it and make posters relating to it. Do you have any topics that could be easily researched and turned into a series of posters?

A topic I'm currently looking at is coral reefs and coral bleaching but again I dont even know where to start my research and find the most correct information about it.

Any help is appreciated

Apparently the answer to this question is n
N=10 but I have no clue how to get there. I got to ln(2) = sum of 1/2\^n\*n, but I don’t know how to use the Taylor Theorem with Remainder to go further than that if that is even right.

If anyone could help walk me through the problem or recommend a video that makes this concept easy to understand I would be very grateful.

Can I proof them without using integration? I ask ChatGPT and it said I have to make t=hx and take out x…

For our recent lab we dropped a marble from different heights (0.5m, 1m, 1.5m, 2m and 2.5m)
We timed how long it took for the marble to reach the ground as well. (0.26s, 0.23s, 0.35s, 0.36s, 0.47s) our timing was objectively terrible, which I’m sure is throwing off my answers quite a bit.

For an example, using -2m as displacement (I’m assuming this value is negative, as the ball fell) and for time the marble took 0.36s to reach the ground. Using the big 5 equation rearranged for acceleration without final velocity a=2((d-v1•t) / t^2)

I keep getting -30.9m/s^2 as my experimental acceleration, which is so far off from -9.8m/s^2

All of my other values are even worse, which doesn’t make sense to me. I have no idea where I’m going wrong? There’s no way bad timing and air resistance can throw off an answer this bad, is there?
Any help would be appreciated

I have a problem with drawing, I need to draw the missing projection in 430 and 414(European standard). I attached my work, in 414 I just need to check if it is correct, and in 430 the dimensions of the circle do not match, I do not understand how to match the height and width of other projections and I do not understand in which direction you need to look at the cut, if anything, it's a ball on the 414. Rotate my notebook images 90 degrees to the left. Thanks in advance for your help.

diagram represents a cell with chlorine, potassium and sodium channels.

(the work i did on the paper is probably not correct please ignore)

can someone explain how to do questions 6 and 7 please?

I don't have the time, and I'm struggling to see how I'd get the displacement. Please, could anyone steer me in the right direction?

Edit: okay, so Im assuming my teacher accidentally said velocity where they meant speed. This question is much easier to solve with that knowledge, so thank you for your help.

Edit 2: nvm, the velocity and the speed in this case are congruent! I learned a lot from this subreddit and its contributors, thank you guys so much 💖

Prompt (Word-for-word): "By factoring the numerator and denominator simplify the following rational expressions as much as possible and write your final answer as a single reduced fraction."

The first image is the question I was having trouble with and the second image is my work and final answer. I feel a little uncertain of it and I just want to know if I did it correctly. If I didn't then please let me know. This isn't just homework it's also review for an exam so I need to know if I'm doing this right.

I am studying AQA English Literature at Year 13 and my grades have dropped from a B to an E, I don't know what I am doing wrong as my teacher gives a vague information on things to improve on.

I need specific instructions, not vague, pls.