#how to study math

[howzone]

Unlocking Math Magic: How to Solve Math Problems Like a Pro! 🌟🧮

Are you struggling with math problems? 🤔 Whether you're a parent helping your child tackle math problems for kids or a student preparing for a Math Olympiad, this video is for you! Join us as we explore effective strategies on how to solve math problems and boost your confidence in mathematics.

In this video, we’ll cover a variety of topics, including:

Math Problems for 1st Graders: Fun and engaging ways to help young learners get excited about math!

Viral Math Olympiad Problems: We’ll solve some of the most challenging problems that have taken the internet by storm! Learn how to approach these math olympiad problems and impress your peers.

Unit Rate Problems: Discover how to solve unit rate problems quickly and efficiently, including tips on how to solve a unit rate that can help you ace your exams!

Word Problems: Tackle real-life scenarios with our proven methods to solve word problems effectively.

We'll also share insights on how to study smart for math, including techniques on how to learn math and how to study for exams. You’ll learn how to solve math problems fast, making you a math whiz in no time!

This video isn’t just for students; it's also a great resource for teachers and parents looking to help their children learn how to solve challenging math problems. Let's dive into some very interesting problems to solve that will make learning math enjoyable!

Don't forget to like, share, and subscribe for more engaging content on how to solve math problems and take your math skills to the next level! 🌈✨

#Math #MathProblems #MathForKids #MathOlympiad #ProblemSolving #HowToStudyMath #LearnMath #WordProblems

[aardvaark]

the leverage team would have had a games night… once. everyone cheated so much and in such increasingly extreme ways that all mentions of monopoly are banned in their headquarters (this makes talking about marks who monopolize the market very confusing)

[sysy-studyblr]

wednesday 14/07/2024

today was an absolutely beautiful day

♫ bestfriend - satellite lovers ♫

[leotheponderer]

He wants to spar for ten days not fully straight

He can't see shit and neither can I

[chazza-studies-mphys]

Wednesday, 14th May 2025

Snapshots from a more productive day today, ft electrodynamics review, vegan salmon & my new favourite food, the Chinese chive pancakes I discovered in an Asian supermarket recently :)

🎵Monolith – Ihsahn

[tokkibean]

somebody slow down the world IM NOT EVEN HALFWAY DONE WITH MY BOOK LET ME FINISH IT BY THE END OF THIS YEAR

[youling-the-ghost]

yep, I'm gay

[khaotunng]

STOP THEY REFERENCED CHOI CHIYEOL FROM CCIR IN STUDY GROUP

[evienyx]

Calculating Sentry's Power Level (with science!!!)

In Thunderbolts*, we are told rather explicitly that Sentry has "the power of a thousand exploding suns." I have seen this used a lot when discussing how he might measure up against other beings within the MCU.

Now, I have no real way of calculating or quantifying the power of someone like Wanda or Loki or anyone like that. For Bob, though, we might actually be able to find a number. What would this number mean? Unimportant, this is just for fun, so don't take anything as gospel either because I'm barely checking my math here and am just stream-of-consciousness-ing this thing.

Okay, so, let's figure out just how much power Bob has (spoiler: it's so much omg lmao). My man is stressed and doesn't wanna know but that's too damn bad okay here we go.

To start, let's look at how much energy, or power, the Sun outputs.

When it comes to stars, their power output is referred to as their luminosity, and is measured in Watts (also known as Joules/second, or the energy output every second).

The Sun's luminosity is about 3.828 × 10^26 Watts. (source)

For reference, the total U.S. electricity consumption in 2022 was about 4.07 trillion kWh (or about 1.4652 × 10^19 Joules) (source). Dividing our Sun's luminosity of 3.828 × 10^26 Joules/second by this, we can find that the Sun outputs enough energy to power the U.S. for a year 26,126,126 times over, every second.

So, a lot of power.

This alone would pack quite a punch. However, we are not looking at the power of just one Sun, but of 1000. So, we multiply our Luminosity by 1000, and can also multiply our number of United States as well to find that our power output is now

3.828 × 10^29 Watts, or 26,126,126,000 United States (in a year, every second).

Even now, though, we aren't getting the whole picture. After all, Sentry's power isn't "the power of a thousand Suns." It's "the power of a thousand exploding Suns." Therefore, we need to look at the amount of energy that the Sun would output at the end of its life.

In astronomy, stars are categorized based off of their luminosity and their surface temperature, as well as color (source). The majority of stars (as in about 90%) fall into the "main sequence," while the other 10% are made up white dwarfs, giants, and supergiants. They are organized in what is known as the Hertzprung-Russell (HR) diagram, shown below.

Our Sun is what is known as a G-Type (yellow) star. It is a very average star (which is a good thing). For average stars, their life comes to an end when they run out of excess hydrogen to use for nuclear fusion (the process of fusing hydrogen atoms into helium, which releases immense energy and powers the star). Once that hydrogen runs out, the star begins to collapse.

This collapse, however, produces more heat, so that the star can then create essentially a burning shell of its little remaining hydrogen that wraps around the star's core. This shell causes the outer layers of the star to expand rapidly, turning the star into a red giant, which will consume its helium until it is gone, and collapse and expand again.

As material continues to be ejected from the red giant, it also forms a planetary nebula around the dying star. After about a billion years, it will run out of material and the inner core of the star will be exposed. At this point, the star is left as a white dwarf (source).

Now, that was a lot, and a lot of energy was involved, but there are three main parts of the G-Type star's death: the red giant, the planetary nebula ejection, and the white dwarf.

When a star expands into a red giant, it heats up a lot, and its luminosity increases significantly (source). We don't know exactly how much the Sun's luminosity will increase by at this point. Some estimates put it anywhere between 1000 times greater and 3000 times greater, so for the sake of this, let's just say 2000 times greater.

So, the luminosity of our dying red giant star is about

7.656 × 10^29 Watts.

Unfortunately, Watts is measuring our energy output per second, and we want it overall. So, let's keep going.

Though the red giant period lasts for about a billion years, the increased luminosity is really only toward the end of it, as it comes from the burning of helium into carbon, which goes by much quicker than the hydrogen burning that took up most of the star's life.

So, instead of a billion years, we will go with about ten million years worth of our high luminosity.

Energy = luminosity (watts) × time (seconds)

Energy = (7.656 × 10^29 joules/second) × (3.154 × 10^7 seconds/year) × 10^7 years

Energy = 2.415 × 10^44 joules.

I'm not even gonna try to figure out how many United States that is.

This is only the red giant phase, of course. We still have a bit more to look at.

Though there is no fusion involved or anything, the planetary nebula ejection still outputs a lot of kinetic energy, which we can thankfully calculate relatively easily. We only need the mass and the velocity.

For mass, we're looking at about 40% of the Sun's original mass being sent out into space (source), so about 7.9536 × 10^29 (source).

For velocity, we're looking at about 20 km/s, or 20,000 m/s (source).

Another note: 1 joule = 1 kg × (m/s)^2

Now, onto kinetic energy:

E = 0.5 × mass × velocity^2

E = 0.5 × (7.9536 × 10^29 kg) × (20,000 m/s)^2

E = 1.591 × 10^38 joules.

That's a lot of energy, but in terms of stellar and astrophysics things, it's not actually that much lol. Still, now we know it.

Lastly, we have the white dwarf phase. Now, once a star is a white dwarf, its death is essentially already done. All that would be left in terms of energy for this white dwarf phase would be the energy that is output as it is cooling. Certainly, this is a lot of energy, but it isn't really enough to make much of a dent in our calculations, especially since it is happening over the course of billions of years.

So, our final number for the amount of energy output by the Sun in its death is about:

2.415 × 10^44 joules.

Our planetary nebula ejection number (1.591 × 10^38 joules) is so insignificant against this number that adding it changes literally nothing.

This is just one Sun, though. We need a thousand.

So, if we want to quantify the amount of power that Sentry has, knowing that it is the power of "a thousand exploding Suns," we can say that it is about:

2.415 × 10^47 joules.

This is more energy than the Sun will output over its entire lifetime, and by quite a lot.

Now, one thing may have caught your attention through all of this.

The idea of "exploding star" evokes a very particular image, and it is certainly not that of a star turning red and expanding and contracting over the course of a billion years. When you hear "exploding star," you don't think red giant; you think supernova.

The thing is, most stars don't go supernova. Our Sun is not nearly massive enough to go supernova. It would need a mass at least eight times that which it has to even have a possibility of going supernova.

However, supernovae have a general amount of energy that they output when they occur, in the ballpark of about 10^44 joules (source). Multiply this by 1000, and you get about the answer we already found (10^47 joules).

The exciting thing about a supernova explosion is not just the amount of energy that it outputs, but the speed at which it does so. The fact that the Sun cannot go supernova, and therefore cannot explode, will not affect our final answer in any way but vibes.

And so, we come to our not-at-all-peer-reviewed, done at midnight, completely without double-checking my work, final answer.

MCU Sentry, with the power of "a thousand exploding Suns," has the power roughly equivalent to 2.415 × 10^47 joules.

Or:

241,500,000,000,000,000,000,000,000,000,000,000,000,000,000,000 joules.

For reference, in 2019, the world total electricity consumption was about 22,848 TWh (source), or about 8.225 × 10^19 joules. This means that Sentry's power is equivalent to about how much energy the entire world uses in a year, 2.936 octillion times over (or 2.936 × 10^27).

Considering this is (I think) representative of his power level and not something like the total amount of power he can use ever, it's safe to say that, even if it is the power of a thousand exploding Suns rather than a million, MCU Sentry is still pretty strong, all things considered.

Anyway, if you find anything in particular that is grievously wrong with this, feel free to let me know. I did this in like under two hours.

Read next: Sentry Vs. The Avengers (with science!)

POV: They don't know I've got 2.415 × 10^47 joules worth of power inside me (except they kinda do lol)

[starssoblue]

my favorite bit about miraculous (season 6) so far is learning that adrien agreste studies ancient greek as an elective. my super intelligent nerdy son. 🥺

[alithographica]

Reviewing polar coordinates in a textbook with a student and this is a poem. to me

[aurorangen]

Payton waited for Vincent to share his big news. At first, she wondered if Renee would show up to reveal her pregnancy! She smiled at the thought. Instead, a young man came and greeted them warmly. Observing him carefully, he seemed close to her son. But what could the news possibly be?

"Mum, this is Isaac…my half-brother," Vincent leaned back on his chair, unsure how she would react. Isaac watched both closely.

Immediately, Payton felt on edge, learning of his relation to that man, Ashton Kingsley. So many years had passed and in truth, she no longer felt much peril in her or Vincent's life. Hearing their intentions of discovering what happened to that man, she knew they simply wanted to disclose that information. The things he did and then disappearing into thin air. What even happened to him? Was he really dead like the police say? Or was he hiding somewhere far away?

After concluding their discussion, Payton asked about Isaac's family. "My mum, she died when I was young," Isaac was silent for a moment as if he was figuring out how to answer, "And I have other siblings, but we're…estranged." They offered their deepest sympathies and said he was part of their family now.

He appreciated their open arms.

[something-tofightfor]

We saw Twisters last night.

It wasn't perfect, but as someone that was VERY skeptical of a sequel being made to what is probably my absolute favorite 90's disaster movie, I can say that I enjoyed it thoroughly and will be buying it when it is released.

The nod to Bill Paxton was incredibly appropriate.

The leads (not you, Javi) were great and I rooted for them the whole time.

I loved Ben.

And I can kinda sorta probably at least a little (la lot) see the appeal of Glen Powell as Tyler Owens because he was just the perfect amount of smarmy cowboy for me.

also i would like to point out as someone that grew up with frequent tornadoes near me and who has SEEN people chasing in tornado alley / experienced a tornado in eastern colorado... the way these amateur stormchasers / youtubers are portrayed as being kinda sorta batshit about it is 100% accurate.

[buggbuzz]

orgo 2 exam #3 tomorrow 😭😭 a little behind on studying but i still have time in the morning cause all i need to do really is the practice exam.

just wish i knew what's gonna be on the exam's reference sheet because theres like 25 complex reactions w/ unique reagents and rules i have to memorize on top of other stuff 💀

but considering i got a 79% on exam 2 with relatively similar study methods i should be okay!! i just want this to be over already 🙏

[dustykneed]

i think theyre incredibly silly !! but also from a character design/shape language perspective the triumvirate is so terrific i keep nerding out whenever someone makes them Shaped as god intended.

on the other hand my last midterms are tmr and i need something to keep me occupied after so by all means if yall have anything (if its tos spones mckirk or mcspirk rest assured that i WILL do it 100% bc im totally so sane abt then you see) youd like to see me scribble out in notes app feel free to send in an ask etc! ill do my best lmao

[misty-memories09]

Sabito, coming down from stairs: Where are you, Giyuu? Giyuu, holding a plate full of toasted bread: In the kitchen, getting your breakfast ready. Sabito: Forget the breakfast, darling. I’m running late. Giyuu: No way! Have your breakfast first! [Sabito huffily starts to eat his breakfast] Giyuu, sniffing the air: Mhm, smelling good. You look good too. Where’re you headed to, Mister? Sabito: Think positive, darling! Where do you think I'd strut my way to except work at such an early hour? Giyuu: Well, it's not my fault that you look like you're ready for a date. Sabito, pulling his hair out of his ponytail, loosening his tie and ruffling himself up a little: Better? Giyuu: Hey! I was just joking! Why do you always get so serious? Sabito: Because, it always starts as a joke but then it spins into an intricate labyrinth of suspicious questions and I always end up running late. I’ve got a lot to do today. Giyuu, raising an eyebrow suspiciously: Why? Don't you have to work everyday? Sabito, sighing: Why don't you schedule these interrogations for Sundays?