Difference between revisions of "2024 AMC 10A Problems/Problem 15"

Revision as of 09:59, 16 August 2024

What is the unit digit of $1434^{1434}$ ?

==Solution Since 1434 ends in a 4, all we need to know is the units digit of powers of 4 4^1 = 4 4^2 = 16 4^3 = 64 4^4 = 256 As you can see every ever power of 4 has a units digit of 6 and every odd power of 4 has a units digit of 4. As 1434 is even 1434^1434 has a units digit of 6

Solution 2

If you want to know where the king of ohio is you have to start mewing to skibidi and have a legendary mog battle with the all-knowing Ohio sigma known as master goonway who mews over the betas with l rizz and a level 0 on the rizz-o-meter. So stay skibidi and be the sigma over all betas so you can be the Ohio rizzler.

also listen to Eminem clean

oh and never gonna give you up never gonna let you down never gonna turn around and desert you never gonna make you cry never gonna say goodbye never gonna tell a lie and hurt you

Solution 3

By the Ohio theorem, the answer is clearly not 6969420, or 42069. We can apply the Skibidi Slicers theorem to then, get the answer of $\boxed{\text{Baby Gronk - Livvy Dunne}}$

Solution 4

Sigma ohio inequality states that $b\text{Sigma}^{a}\leq \sqrt{\text{Ohio}^{ab} \text{Mogging caseoh}} \leq +10000b \text{aura}$ $\forall a,b \in \mathbb{SIGMA}$ $\boxed{\textbf{(D)}+\infty \text{ aura}}$

Solution 4

Using the brainrot theorem, we can see that the spheres are forming an exponential function, so we divide by the rizzler, and then multiply it by ohio. So the answer is $\boxed{D, 1434}$

Solution 5

?????????? wtf bro $\textbf{(D)}$

Solution 6

we do the thing (compose the gyatt theorem into the rizzler function) and it works, then apply fanum tax and tensor product $\otimes$ with the mythical Ohio Grassman to yield $\boxed{\textbf{(D)}\frac{1}{0}}$

Solution 73

because skibidi toilet will be mine now, we use the Fanum Formula to find that the area of triangle OHI with O as its right angle has area 1434^2. From here, we plug it into the Rizzler Remainder Rule to find that the perimeter of pentagon SIGMA can equal none of the answer choices but $\boxed{{(Z)} Gyatt}$

Solution 1434

May I have your attention, please?

Will the real Slim Shady please stand up?

I repeat

Will the real Slim Shady please stand up?

We're gonna have a problem here

Y'all act like you never seen a white person before

Jaws all on the floor like Pam, like Tommy just burst in the door

And started whoopin' her *ss worse than before

They first were divorced, throwin' her over furniture (Agh)

It's the return of the"Oh, wait, no way, you're kidding

He didn't just say what I think he did, did he?"

And Dr. Dre said

Nothing, you idiots, Dr. Dre's dead, he's locked in my basement (Ha-ha)

Feminist women love Eminem

"Chicka-chicka-chicka, Slim Shady,I'm sick of him

Look at him, walkin' around, grabbin' his you-know-what

Flippin' the you-know-who", "Yeah, but he's so cute though"

Yeah, I probably got a couple of screws up in my head loose

But no worse than what's goin' on in your parents' bedrooms

Sometimes I wanna get on TV and just let loose

But can't, but it's cool for Tom Green to hump a dead moose

"My bum is on your lips, my bum is on your lips"

And if I'm lucky, you might just give it a little kiss

And that's the message that we deliver to little kids

And expect them not to know what a woman's clitoris is

Of course, they're gonna know what intercourse is

By the time they hit fourth gradethey've got the Discovery Channel, don't they?

We ain't nothin' but mammals

Well, some of us cannibals who cut other people open like cantaloupes

But if we can hump dead animals and antelopes

Then there's no reason that a man and another man can't elope

But if you feel like I feel, I got the antidote

Women, wave your pantyhose, sing the chorus, and it goes

See Eminem Live

Get tickets as low as $99

Solution 14341434

7:30 in the night Ooo Ooo

Skibidi toilet will be mine, yuh Ohio town, yeah Diamonds to mine I'm on that big sigma grind Worried 'bout impostors I'm way too sus, yeah For sigma trust

Skibidi toilet will be mine, yuh Ohio gyatt, rizz Rizzlers on my mind

Skibidi toilet will be mine, yeah When you're not around me With sigmas on my mind

Skibidi toilet will be mine, yuh Ohio gyatt, rizz Rizzlers on my mind Skibidi toilet will be mine

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Difference between revisions of "2024 AMC 10A Problems/Problem 15"

Revision as of 09:59, 16 August 2024

Contents

Solution 2

Solution 3

Solution 4

Solution 4

Solution 5

Solution 6

Solution 73

Solution 1434

Solution 14341434

@@ Line 1: / Line 1: @@
-Let <math>S</math> be a finite set endowed with an associative binary operation <math>*</math> such that <math>a*b*a=b</math> for all <math>a,b\in S</math>. Prove that <math>|S|</math> is a power of <math>2</math>.
+What is the unit digit of <math>1434^{1434}</math>?
+==Solution
+Since 1434 ends in a 4, all we need to know is the units digit of powers of 4
+^1 = 4
+^2 = 16
+^3 = 64
+^4 = 256
+As you can see every ever power of 4 has a units digit of 6 and every odd power of 4 has a units digit of 4. As 1434 is even 1434^1434 has a units digit of 6
+==Solution 2==
+If you want to know where the king of ohio is you have to start mewing to skibidi and have a legendary mog battle with the all-knowing Ohio sigma known as master goonway who mews over the betas with l rizz and a level 0 on the rizz-o-meter. So stay skibidi and be the sigma over all betas so you can be the Ohio rizzler.
+also listen to Eminem clean
+oh and never gonna give you up
+never gonna let you down
+never gonna turn around and desert you
+never gonna make you cry
+never gonna say goodbye
+never gonna tell a lie
+and hurt you
+==Solution 3==
+By the Ohio theorem, the answer is clearly not 6969420, or 42069. We can apply the Skibidi Slicers theorem to then, get the answer of <math>\boxed{\text{Baby Gronk - Livvy Dunne}}</math>
+==Solution 4==
+Sigma ohio inequality states that <math>b\text{Sigma}^{a}\leq \sqrt{\text{Ohio}^{ab} \text{Mogging caseoh}} \leq +10000b \text{aura}</math>
+<math>\forall a,b \in \mathbb{SIGMA}</math>
+<math>\boxed{\textbf{(D)}+\infty \text{ aura}}</math>
+==Solution 4==
+Using the brainrot theorem, we can see that the spheres are forming an exponential function, so we divide by the rizzler, and then multiply it by ohio. So the answer is <math>\boxed{D, 1434}</math>
+==Solution 5==
+?????????? wtf bro <math>\textbf{(D)}</math>
+==Solution 6==
+we do the thing (compose the gyatt theorem into the rizzler function) and it works, then apply fanum tax and tensor product <math>\otimes</math> with the mythical Ohio Grassman to yield
+<math>\boxed{\textbf{(D)}\frac{1}{0}}</math>
+==Solution 73==
+because skibidi toilet will be mine now, we use the Fanum Formula to find that the area of triangle OHI with O as its right angle has area 1434^2. From here, we plug it into the Rizzler Remainder Rule to find that the perimeter of pentagon SIGMA can equal none of the answer choices but <math>\boxed{{(Z)} Gyatt}</math>
+==Solution 1434==
+May I have your attention, please?
+May I have your attention, please?
+Will the real Slim Shady please stand up?
+I repeat
+Will the real Slim Shady please stand up?
+We're gonna have a problem here
+Y'all act like you never seen a white person before
+Jaws all on the floor like Pam, like Tommy just burst in the door
+And started whoopin' her *ss worse than before
+They first were divorced, throwin' her over furniture (Agh)
+It's the return of the"Oh, wait, no way, you're kidding
+He didn't just say what I think he did, did he?"
+And Dr. Dre said
+Nothing, you idiots, Dr. Dre's dead, he's locked in my basement (Ha-ha)
+Feminist women love Eminem
+"Chicka-chicka-chicka, Slim Shady,I'm sick of him
+Look at him, walkin' around, grabbin' his you-know-what
+Flippin' the you-know-who", "Yeah, but he's so cute though"
+Yeah, I probably got a couple of screws up in my head loose
+But no worse than what's goin' on in your parents' bedrooms
+Sometimes I wanna get on TV and just let loose
+But can't, but it's cool for Tom Green to hump a dead moose
+"My bum is on your lips, my bum is on your lips"
+And if I'm lucky, you might just give it a little kiss
+And that's the message that we deliver to little kids
+And expect them not to know what a woman's clitoris is
+Of course, they're gonna know what intercourse is
+By the time they hit fourth gradethey've got the Discovery Channel, don't they?
+We ain't nothin' but mammals
+Well, some of us cannibals who cut other people open like cantaloupes
+But if we can hump dead animals and antelopes
+Then there's no reason that a man and another man can't elope
+But if you feel like I feel, I got the antidote
+Women, wave your pantyhose, sing the chorus, and it goes
+See Eminem Live
+Get tickets as low as $99
+You might also like
+Without Me
+Eminem
+Habits
+Eminem & White Gold
+But Daddy I Love Him
+Taylor Swift
+I'm Slim Shady, yes, I'm the real Shady
+All you other Slim Shadys are just imitating
+So won't the real Slim Shady please stand up
+Please stand up, please stand up?
+'Cause I'm Slim Shady, yes, I'm the real Shady
+All you other Slim Shadys are just imitating
+So won't the real Slim Shady please stand up
+Please stand up, please stand up?
+Will Smith don't gotta cuss in his raps to sell records (Nope)
+Well, I do, so f**k him, and f**k you too
+You think I give a damn about a Grammy?
+Half of you critics can't even stomach me, let alone stand me
+"But Slim, what if you win? Wouldn't it be weird?"
+Why? So you guys could just lie to get me here?
+So you can sit me here next to Britney Spears?
+Yo, shit, Christina Aguilera better switch me chairs
+So I can sit next to Carson Daly and Fred Durst
+And hear 'em argue over who she gave head to first
+Little b**ch put me on blast on MTV
+"Yeah, he's cute, but I think he's married to Kim, hee-hee"
+I should download her audio on MP3
+And show the whole world how you gave Eminem VD (Agh)
+I'm sick of you little girl and boy groups, all you do is annoy me
+So I have been sent here to destroy you
+And there's a million of us just like me
+Who cuss like me, who just don't give a f**k like me
+Who dress like me, walk, talk and act like me
+And just might be the next best thing, but not quite me
+'Cause I'm Slim Shady, yes, I'm the real Shady
+All you other Slim Shadys are just imitating
+So won't the real Slim Shady please stand up
+Please stand up, please stand up?
+'Cause I'm Slim Shady, yes, I'm the real Shady
+All you other Slim Shadys are just imitating
+So won't the real Slim Shady please stand up
+Please stand up, please stand up?
+I'm like a head trip to listen to
+'Cause I'm only givin' you things you joke about with your friends inside your livin' room
+The only difference is I got the balls to say it in front of y'all
+And I don't gotta be false or sugarcoat it at all
+I just get on the mic and spit it
+And whether you like to admit it (Err), I just s**t it
+Better than ninety percent of you rappers out can
+Then you wonder, "How can kids eat up these albums like Valiums?"
+It's funny, 'cause at the rate I'm goin', when I'm thirty
+I'll be the only person in the nursin' home flirting
+Pinchin' nurse's *sses when I'm jacking off with Jergens
+And I'm jerking, but this whole bag of Viagra isn't working
+And every single person is a Slim Shady lurkin'
+He could be working at Burger King, spittin' on your onion rings (Ch, puh)
+Or in the parkin' lot, circling, screaming, "I don't give a f**k!"
+With his windows down and his system up
+So will the real Shady please stand up
+And put one of those fingers on each hand up?
+And be proud to be out of your mind and out of control
+And one more time, loud as you can, how does it go?
+I'm Slim Shady, yes, I'm the real Shady
+All you other Slim Shadys are just imitating
+So won't the real Slim Shady please stand up
+Please stand up, please stand up?
+'Cause I'm Slim Shady, yes, I'm the real Shady
+All you other Slim Shadys are just imitating
+So won't the real Slim Shady please stand up
+Please stand up, please stand up?
+'Cause I'm Slim Shady, yes, I'm the real Shady
+All you other Slim Shadys are just imitating
+So won't the real Slim Shady please stand up
+Please stand up, please stand up?
+'Cause I'm Slim Shady, yes, I'm the real Shady
+All you other Slim Shadys are just imitating
+So won't the real Slim Shady please stand up
+Please stand up, please stand up?
+Ha-ha
+I guess there's a Slim Shady in all of us
+F**k it, let's all stand up
+==Solution 14341434==
+:30 in the night
+Ooo
+Ooo
+Skibidi toilet will be mine, yuh
+Ohio town, yeah
+Diamonds to mine
+I'm on that big sigma grind
+Worried 'bout impostors
+I'm way too sus, yeah
+For sigma trust
+Skibidi toilet will be mine, yuh
+Ohio gyatt, rizz
+Rizzlers on my mind
+Skibidi toilet will be mine, yeah
+When you're not around me
+With sigmas on my mind
+Skibidi toilet will be mine, yuh
+Ohio gyatt, rizz
+Rizzlers on my mind
+Skibidi toilet will be mine