#math answers

[valentine-love99]

I got this algebra textbook off from Goodwill since I actually likes algebra. I decided to try out logarithms to see if I can do it which I still got it! I remember why I like to do logorithms because it was fun to answer by combine and separate the expressions.

[gascreates]

a new star

[necromimetics]

This has caused great debate among my math friends so I think it needs tumblr's input

[becca-e-barnes]

Bucky pinning you down so you can’t squirm and he’s just sitting inside you while he tortures your clit feeling you clench around him. He makes you cum over and over until he finally cums.

Overstimulation + super soldier stamina = …

- 🍯

Dear God, I know I just don't have it in me to behave during cock-warming. When it comes down to it, I genuinely have no patience at all 😵‍💫

"You..." Bucky begins, pressing you down onto the bed before gripping your ankles and forcing you to flip over onto your front. "Have a problem with control."

With your face turned away from him, you can't help but smile to yourself. No one has ever said it out loud but you know he's right.

Being in control is where you're most comfortable. No hands are safer than your own. Except maybe his. You know he won't fuck this up.

"And you..." He continues, gathering your wrists behind your back, holding them tightly with one hand. "Need to learn how it feels to have control taken from you. Do you understand?"

As soon as you begin to nod your head, you feel him start to tape around your wrists, holding them together behind your back. Once he's content they're secure, he sits on the edge of the bed, facing the mirror before he pulls you onto his lap.

"Legs spread over the top of mine." He orders and you do as you're told, not because you have to but because you want to.

You notice the way your cunt is already glistening in the mirror and you're almost embarrassed because he hasn't even touched you yet.

"Fuck, you're made for this." He groans, lining his cock up to your slick entrance and you wonder if he's holding his breath too while he slides into you, as deep as your bodies will allow.

You're obsessed with the sight in front of you; your own naked body, with your legs spread so far apart you can see how your cunt is stuffed full of him.

Being shorter though, your feet can't touch the ground like this. There's no way you'll get enough leverage to fuck yourself on him but as soon as you start to tell him that, he silences you with two thick fingers between your lips.

"I'm not letting you fuck me." His free hand roams over your body, squeezing your breasts, pinching your nipples and then settling between your spread thighs.

"I'm going to play with you. I'm going to see how much you can take. I'm going to work out exactly how you like your clit stroked and I'm going to do that until your legs are shaking and your body won't let you cum any more. Maybe then I'll fuck you but sweetheart, that will be hours from now." His breath is hot against the side of your face, his fingers slipping from your mouth to your waist while he starts to flick gently against your clit.

"I'm going to start slowly. I'm going to do everything I can to drag this out as long as possible. I can feel every clench and flutter of this pretty little cunt and I'm going to enjoy it until you're dripping over my balls." At this rate, it won't be long until you're dripping onto the carpet, never mind over him. You dreamed he'd want to take control like this but you never imagined the way your body would respond.

"And then, when you've cum more times than you can handle, I'm going to tell you that I love you while I fuck you like I don't."

Update: Part 2

[kenjakusbraincum]

Heey, I LOVE your writings on soft sukuna, you write so beautifully🩷 please can you do one where he is jealous (fluff)😭🩷

Thank you sm for the kind words!!! Here's my best attempt at doing your idea justice <3

Sukuna has no real reason to be jealous. He practically owns you, controls every aspect of your life, who or what could he possibly be jealous of? Every servant who dared approach you in an inappropriate way would be dealt with swiftly. And you're a good pet, who has eyes for no one other than your master. You really don't give him a reason.

But there's this one thing... Since you've been so good and obedient, Sukuna has allowed you many liberties. You're permitted to skip around the mansion, watch Uraume cook, even enjoy little hobbies. You've tried many before you found that crocheting particularly piqued your interest. Ever since you've learned the basics, you've been spending hours working on perfecting your skills. At first it was cute, watching you squint in concentration as you move the hook. But then the math became really simple - having this hobby to keep you busy meant you approached Sukuna out of boredom a lot less. And he noticed it. It irked him, but you're not technically doing anything wrong. You were still as happy to serve him as ever, he just had to ask. But why would he have to ask? You should be all over him on your own. He should have to push you away, not beg you to give him attention. He didn't like this disturbance in your master and pet balance that this little hobby of yours caused.

He stands at the door now. You're crocheting again. You and your favorite servant laugh at your failed creation so sweetly, you don't even notice he's waiting. He clicks his tongue to establish his presence, and your servant falls to her knees immediately. You however, are not held to that high of a standard anymore.

"Master!", you call him, and hop up to greet him with a deep bow. Before he can say anything, you've picked up the piece of fabric you've been working on and ran into his arms to show him.

He looks at the ugly form and scoffs. "This is what I'm sponsoring?", he says and pulls a loose piece of yarn, making your little creation fall apart. He always was a bully, but you note his bad mood.

"I'm only a beginner...", you sulk.

"That much is obvious.", he flicks the yarn away and it falls onto the floor. Before you can bend to pick it up, he seizes your wrist and pulls you back. "Aren't you a little young to waste time with hobbies for the elderly?", he asks. You look at him with your cutest, practiced doe eyes, but it doesn't work.

"Come, pet. I know an activity more suitable for your age.", he says when you don't respond, and steps out of the room. You hop after him, unaffected by his condescending comments. You know that they're just for show. If he really thought you were a hag, you would've been gone a long time ago.

"Sitting at your throne all day?", you tease innocently and join him at his side, sliding your arm underneath one of his. You hope your playfulness will distract him from whatever is bothering him. "Or in a bath?" His lower set of eyes peeks at you and smirks, noticing that you're feeling particularly daring today. He's not sure how he feels about that. "Or in your bed." He rolls his eyes gently and opens the door to his chambers.

"At least then you'd be serving your purpose and actually spending time with your master.", he comments and shuts the door. His comment catches you a bit off guard and you stop in front of his bed. He makes his way towards you, and you look up at him with an insulted expression.

"Master, are you jealous of a ball of yarn?", you ask playfully, and squeal when he suddenly pushes you down to sit on the bed. Now you're at eye level... with his crotch.

"You've got quite a big mouth today. Put it to good use for a change, will you?", he runs his hand from the crown of your head to the back of your neck. You seem to have struck a nerve, so it really is the ball of yarn. Is it possible that Sukuna is this clingy?

"Will you?", he repeats and tugs on your hair and narrows his eyes. You smile obediently and reach behind him to untie his obi.

"Yes Master."

-

You try your best to manage the time you spend crocheting from then on, working on productivity in the hours that you dedicate to developing this skill. And it helps that you have a specific goal in mind now: helping Sukuna realize that this hobby is a friend, not an enemy. He still catches you engaging in it sometimes, and gives you a dirty look, but you're as quick as ever to drop what you're doing and join him. That seems to satisfy him.

When you're finally happy with the result of your creation, you look for Sukuna around the mansion. It's not really that hard to find him, as he frequents three places most of all: the dining room, his bedroom and his throne room. This time, he's sitting on his throne, and a small line of people wait for their turn to be gifted his attention. You on the other hand, don't have to wait in line to get it. His lower set of eyes spots you the moment you enter the chamber. You're allowed to roam the mansion, but barging in unannounced is not standard even for you.

Still, Sukuna has learned that you usually only feel daring enough to cross boundaries when you're sure he'll like what you have in mind. So for now, he will let this slide. He's bored as hell anyways. The people are dismissed and you pass by them on your way to his throne, nestled on a pile of bones. You stop in front of it and greet him with a bow.

"Master, I come to you with a humble offering.", you say with your hands on your thighs and your eyes fixated on the ground.

"Show me.", he says simply, but you recognize entertainment in his voice. You climb up the bones and feel his stare scan you from head to toe, before you sit on his knee.

"May I ask you to close your eyes?", you ask and flutter your lashes. Oh the way you seduce him. Who else could ask Sukuna to do something as dangerous as close his eyes? Give his opponent valuable time to land an attack. Who else could dare? And who else would he ever listen to and really close his eyes? Really do as he's told? Oh how safe he feels with you.

You take one of his large hands into yours, and gently pry his long fingers away to open his palm. He has beautiful hands. The only ones you've ever known, but you're sure they're the most beautiful hands in the world. So dangerous, so elegant. You want to press a kiss to his palm, but you hope your gift will have the same, maybe even more profound effect.

Something soft touches his skin, and then you speak, as politely as before. "You may look.", in your softest voice. And when he opens his eyes, he finds himself looking at you first. You're an offering on your own.

Then he looks at his hand. Two crocheted plush figures resembling him and yourself lay flat on his palm, connected through their holding hands. At first glance, it looks like they're two separate creations. In a sense, they are, but... He tries to part them.

"We're sewn together.", you explain. He hums in amusement and inspects your gift more closely. His plush is bigger, recognizable by the pink hair and four buttons for eyes. It's even wearing his favorite kimono. Yours is smaller and less detailed. You look like any other human when placed next to him, insignificant. But in a sea of pets, entertainers and lovers he's had in the past, he would never fail to recognize it as you.

He's spent so long looking at it with that face of his that you just can't read. You're starting to grow restless in his lap, and he feels your eyes dwell into his soul. When he looks back at you with one pair of eyes, your brows are furrowed in worry and you're fiddling your hands in your lap. He pats you on the head and pulls you closer, so you have no choice but to lean on his frame.

"It's beautiful, darling.", his fingers run through your hair, scraping your scalp softly. "No loose threads either.", he looks at you with all four eyes now, and you feel so small in his arms. You're not used to receiving this many compliments from Sukuna at once. Not ones that weren't directed at your body or performance. Especially not when he's looking at you so tenderly, when every word sounds so loving and genuine. "You've improved so much.", his hand is on your face now, and you catch him glancing at your lips. You part them to start thanking him, but you already know how much he hates listening to that.

You stay quiet instead, and lean closer, letting him take you. And he kisses you so softly, fingertips light against your heated skin. You feel like you're floating, like a lily pad in a warm pond. The littlest gesture of his affection has you melting in his embrace. The power he has over you... and how wonderful it is to surrender yourself to it.

None of the liberties and privileges you've been awarded with compare to this. You know that many pets have walked these halls before you. Many warmed his bed and claimed the title of his favorite. But how many loved him like this? Enough to dedicate time of their day to making intricate gifts. How many could say Sukuna kissed them lovingly, for no other reason than to show gratitude and affection?

You're flushed completely red by the time his lips leave yours. You can't hold the intensity of his gaze, as he stares at you in adoration. "I'm happ.. I'm glad you l-like it...", you stumble through the words and win a giggle out of him. You are just so cute. Like a pet should be. He rubs your head again and pushes you away lightly.

"Go now, the people await me.", he says with a benevolent smile gracing his face. "I'll see you tonight."

You bow to him and leave.

And when you visit him that night, he is as gentle as he was when he kissed you earlier, still in a good mood after your gift. Caressing your hair, shoulders and back, as you lay comfortably with your head on his chest. Keeping you warm in his embrace. You're trying your best to follow the conversation, but sleep is slowly taking over you. Sukuna notices and plants a kiss to your forehead, wishing you goodnight. The last thing you see before your eyes close, is your handcrafted plushies sitting on his nightstand.

[unnonexistence]

95% of math brainteasers that go viral are just bad notation and it drives me up the wall

[peach-pot]

ok my turn

[vampkomori]

funny math ratiorine

[miiboo]

fair warning: i have a rat brain and dc stands for disregard canon <3

as far as the public knows, there are four robins: family robin, crime alley robin, the female robin, and the assassin robin. only steph, bruce, and dick know about the forgotten robin, tim drake.

tim drake was the robin before steph, the one who pulled bruce out of his depressive pit and saving criminals a trip to the icu, but to steph, he is her best friend and the one she confided in. he found her as spoiler and convinced babs to take her under her wing. he helped her get the title of batgirl. her best friend.

until the joker kidnapped tim and he went missing. everyone scrambled to find him, but during those weeks, steph and bruce argued for hours on end.

one night, via thermal imaging, babs found the jokers dead body in the arkham ruins that they find tim, or what's left of him anyways. steph and bruce go together to check it out and are immediately horrified to see what they find: shock therapy equipment and plenty of serums. hair dye, bleach, and surgical tools are haphazardly discarded on a table near by. a gun was discarded several feet away from the jokers dead body, a bullet wound between his eyebrows.

steph tries to hold herself together as bruce rummages around the ruins to find tim, but eventually breaks when she sees remnants of the robin costume neatly folded on a table with restraints and the robin symbol on top. a post-it note was next to it.

to batgirl, i'm sorry. i am alive. joker junior --tim

she holds the costume close when she cries.

eventually, she takes up the robin mantel and using the journals tim left in drake manor, creates her own costume with alfred. she carefully stitched tim's robin symbol on the left side of her chest, over her heart.

the relationship between her and bruce is strained, but he falls into that depression pit once more, and using tim's methods, she dragged him out of it. they don't talk about tim, dick and babs keep quiet about it too.

five years later, she took up the spoiler mask again, and in charge of a series of murders involving electricity. after the fifth body is found in the arkham ruins and the signature "jj'", realization dawns on the four. everyone else is confused, and soon, steph and bruce are harshly exchanging words.

one night, tim makes contact, and the family begins to argue about what needs to happen. steph told damian she was borrowing robin and changed into the old uniform.

"we can't just send you out there steph," dick argued.

"you can and you will. i was robin when we first encountered junior," a half-lie. "i know him better than any of you, and bruce will just set him off."

"steph," bruce warned.

"you're not changing my mind bruce. i'm going to see hi m whether you like it or not."

"steph."

"no. you let him slip through the cracks last time, so it's my turn now. this isn't about you. this is about me. about jason. about babs. about robin." bruce's eyebrow twitched, his way of flinching. no other words are said when she uses the robin bike to zoom into the streets of gotham and to the meet up spot.

she sees tim on the rooftop with his hair grown out and slightly dyed blue. there were scars on his mouth line and he wore a tshirt with jeans. the reunion was bittersweet, a ton of crying and steph slapping him. she was just happy that he was safe ((after their crying sess, tim realizes she was wearing his design, and began crying again)).

[romanceyourdemons]

it’s hard to believe that killing yourself in front of your disciple and making it explicitly clear that you’re doing this because of them is the miracle cure their incredibly fragile mental health has needed all along. that’s because it isn’t! in fact your disciple is developing a weird new way of suspending your body between life and death through terrified worship as we speak 👍

[hillclan-ruins]

First || Previous || Next

How perfect is it that Scale and Frost finally got together on Pride. I didn't plan it that was a complete coincidence lmao

[t0m0w0]

Yooo! About the rise toddler au.. Do they age eventually? And I'm curious if their personalities would be slightly different bc they're much more younger :o

Haiii!!! Tysm for the ask!!!

Yea they’d age about the same they do in the show, like two years between ep 1 and the movie. So post movie Mikey’s 5, Donnie and Leo are 6, raphs 7, and April and Casey are 8 (and cj jr is like 13-14 xd)

And also yea I think they’d be a bit more immature. Like playing pranks more often and getting into more silly hijinks lol

In battle Mikey and Leo pull crazier stunts and Raph is somehow even more reckless n stuff like that

(You didn’t ask about this but I wanna yap!!!) Donnie doesn’t really have a battle shell prior to the final fight w shredder. There would be references to it being in beta (like the drill) tho. It’s less high-tech than Donnie’s is in the show, but it still has some features, like a flashlight, probably a flamethrower, other weapons like that, and ofc shelldon ^~^

And just some extra stuff post-post movie I think Raph goes through a MASSIVE growth spurt at like 12-13, like one night he’s like the height of a normal 12-13 yr old and then the next morning he’s like 6 feet tall lolll. And Donnie probably gets contacts when he’s like 12 or something

(Also it’s really funny krang one has beef with a 6yr old xddd like dude he’s 6 why are you trying to kill him!!! This could be said about the other villains tho, but to me, besides shredder/the foot and mayyybe s1 draxum, the other villains aren’t trying to kill them, just like get them out of the way)

I hope I answered your questions!!!

[woodswolf]

a tribute to my favorite post that came out of the pikposting phenomena from august to october of 2023, originally written by @olimar-posting. i have loved this post ever since i first read it and i still think of it very fondly. pure poetry

(Image IDs in alt)

[mathysphere]

the counting for this was a pain, but boy do I like the look of little lines

A sine wave transformation bookmark, made for @badstitched's charity bookmark project: each variable in the top equation is color-coded to the aspect of the graph that it would affect.

The book's out now to anyone who donates $15 or more to one of a couple different literacy charities-- there's 27 bookmarks in total, all themed around different book genres (mine's in 'nonfiction'!).

Link Here for anyone who'd like to donate and get a nice PDF!

[mopillow]

This is how I remember this scene, if you’re wondering what I’m doing the answer is measuring He Cheng’s body parts, prime example is those nipples, I want to thank the US government for the stress that’s making me find new ways to distract myself from reality, I keep my promises pervy anon your answer is here

[chongoblog]

Have you heard of the Sum and Product Puzzle, aka the "Impossible Puzzle" because it initially seems like there isn't enough information to go on? I think I have the answer, and I'm mad about it.

I hadn't so I looked it up and here's Wikipedia's summary of it

There's also an explanation, but I didn't look. I wanna figure this out myself.

So let's break it down.

"P does not know X and Y" means that X and Y are not both prime. If they WERE both prime, then P would know the two numbers right away. So if S KNOWS FOR CERTAIN that P doesn't know X and Y, that means that the sum of X and Y can't be made up of two prime numbers. So, for example, the sum can't be 20, since if X and Y are 1 and 19, P would get 19 and be able to easily deduce the values of X and Y.

So we have a bound for the sum here, so we just need to find all numbers that can't possibly be the sum of two primes. I tried to get a good list of all numbers that aren't the sum of two primes through trial and error, but I after I found the first few I just let the OEIS do the rest of the work for me

So our possible sums are: 11, 17, 23, 27, 29, 35, 37, 41, 47, 51, 53, 57, 59, 65, 67, 71, 77, 79, 83, 87, 89, 93, 95, and 97.

Now that doesn't narrow it down a TON, but we can probably do something with this. Now that P knows that these are all of the possible sums, they know FOR CERTAIN what X and Y are. Very interesting. That tells me a lot about the product.

So let's say X is 4 and Y is 7. Then P is 28, and S is 11. Now, other factors of 28 include 2 and 14, which add up to 16 (not on the list), so we could just say that and call it a day, but there's something else that perplexes me. What if P is 24? The factors of 24 are 6x4, 8x3 and 12x2, which give us sums of 10, 11, and 14, and 11 is the only one on the list, so we have new X and Y values for S = 11 that could also apply. And since the S mathematician said he knew what X and Y were upon hearing that P knew, we can safely say S isn't 11, since X&Y could have multiple possibilities.

So, simply put, we need a value of S where there's only one possible P that could work for it. On one hand that still sounds like a LOT of guess and check work, but on the other, I feel like there's a way to find this solution without that.

Doesn't matter. I did the guess and check work anyway, granted it was actually easier when I got to the higher numbers, since most possible factors of P went over the sum of 100, which is one of our limitations. Easiest way to find these unique products is to find the largest prime number (lower than the sum) and use that as one of our two values.

So the conversation goes as such.

S sees that their sum is 17. Knowing that 17 can't be reached as a sum of two primes, S says "P does not know X and Y", which tells P that the sum is one of those numbers we saw up there. P's product is 52, he figures and he only knows two numbers whose sum add up to one of those numbers. So he says "NOW I know the value of X and Y". S hears that and figures that it has to be that one EXACT combination.

X and Y add up to 17 and multiply to make 52 which means that X and Y are 4 and-

...

GOD DAMMIT