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Solving Hardy Weinberg Problems 

Bozeman Science
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Paul Andersen shows you how to solve simple Hardy-Weinberg problems. He starts with a brief description of a gene pool and shows you how the formula is derived. He then shows you how to solve a couple of sample problems.
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19 июн 2024

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Комментарии : 1,5 тыс.   
@linaaldbaisi3020
@linaaldbaisi3020 4 месяца назад
2024 anyone?
@belkisquiroga6007
@belkisquiroga6007 Месяц назад
here :)
@codybrown4465
@codybrown4465 Месяц назад
Me😀
@Biryani65
@Biryani65 Месяц назад
yes sirrr
@ahmedsaeedbj
@ahmedsaeedbj Месяц назад
ايوة!!
@jaymazoku
@jaymazoku Месяц назад
How did he get .6 for P
@sealseal9955
@sealseal9955 6 лет назад
What saved me: "when talking about allele frequency, you use p and q. when talking about people, you use p^2, 2pq, and q^2." YOU ARE LIFE SAVER
@kylelohman5036
@kylelohman5036 3 года назад
Looks at notes- Yep that is one of the main things I squared on my notes!
@dewdropsbeforedawn
@dewdropsbeforedawn 3 года назад
thank you for writing this comment i almost left this video bc i couldn't find clarification and you just saved my life before a bio exam. thanks again
@Tumi_nn
@Tumi_nn 3 года назад
me too chile.... i just wanna give him my biology fees because how TF did my lecturer miss this important piece of info?
@beatahage5050
@beatahage5050 2 года назад
Thank you so much for commenting this because I forgot and you just saved me
@soro6937
@soro6937 8 лет назад
Not even college professors teach this effectively. You are a great instructor!!!
@kaikinder6543
@kaikinder6543 5 лет назад
I'm in middle school and I have a test on this tmr
@tejukanaparthy
@tejukanaparthy 3 года назад
Kai Kinder what kinda middle school u going to
@thijmendehaas1339
@thijmendehaas1339 3 года назад
@@kaikinder6543 samee lmao
@Daazle
@Daazle 2 года назад
@@kaikinder6543 im in highschool learning this
@coliseacausey6356
@coliseacausey6356 Год назад
@@Daazle everyone does, you’ll relearn it in college too
@orangecrush4
@orangecrush4 9 лет назад
"Plague biology students forever." You got that right.
@esl4869
@esl4869 8 лет назад
eangelion profile picture^^
@keyagupta235
@keyagupta235 5 лет назад
yes JAKE PERALTA AAAAA
@morganpew8911
@morganpew8911 3 года назад
Plaguing me right about now
@nat4909
@nat4909 3 года назад
@@morganpew8911 plaguing me rn
@EternalShadow1667
@EternalShadow1667 2 года назад
6 years on, yep.
@c7l7l7
@c7l7l7 8 лет назад
Who else is cramming for a bio final?
@bigtimesully
@bigtimesully 8 лет назад
ME!!!!
@carltheblock1718
@carltheblock1718 8 лет назад
MEEE!
@andrewallen206
@andrewallen206 8 лет назад
MEEEEE!
@matteobazzy-bucknell4688
@matteobazzy-bucknell4688 7 лет назад
same
@YungHippie
@YungHippie 7 лет назад
exam is in a few hours...wish me luck
@lilyanderson8297
@lilyanderson8297 4 года назад
I made a poem, it’s called Bozeman the man Bozeman Oh Bozeman From bio I ran For I couldn’t stand From chem I ran For I couldn’t land On RU-vid it was you I scanned Whose videos I crammed Who made me understand And now Bozeman It is you I stan
@adityaagarwal2381
@adityaagarwal2381 3 года назад
Hearting a comment 8 years after the video came out, what a madlad.
@tomevers23
@tomevers23 20 дней назад
Brings a tear to my eye
@SeanMatsuda-cy9hs
@SeanMatsuda-cy9hs 4 дня назад
​@@tomevers23 yo 2 weeks ago is crazy
@tomevers23
@tomevers23 4 дня назад
@@SeanMatsuda-cy9hs 7 hours ago is crazy
@SeanMatsuda-cy9hs
@SeanMatsuda-cy9hs 3 дня назад
@@tomevers23 7 hours ago again is crazy
@Jeanjellybean13
@Jeanjellybean13 8 лет назад
Please never stop making videos. Your channel is helping me survive my Bio major
@VivekBabbar
@VivekBabbar 7 лет назад
Jeannie Weasly and I am learning all this in high school...
@misskabalan
@misskabalan 7 лет назад
i learned this in high school, did great, forgot it all, and have to do it again in uni. It keeps coming back to haunt me!
@zain4019
@zain4019 7 лет назад
Mary yea same!
@tanmay8426
@tanmay8426 3 года назад
@@VivekBabbar fellow indian i see
@chinmaysharma5202
@chinmaysharma5202 3 года назад
@@tanmay8426 you right maannnn...
@premedhelps
@premedhelps 4 года назад
literally my bio teacher rambles on and on for an hour and I don't get shit, but Mr. Anderson explains everything in 15 mins. Not all heroes wear capes
@lillianroth8646
@lillianroth8646 3 года назад
Me to thank you for 5
@Ryan-sj3cb
@Ryan-sj3cb 7 лет назад
I wonder how many biology grades got saved bc of this channel lmao
@SnowBunneh
@SnowBunneh 5 лет назад
Probably mine at least :,3
@gbritto98
@gbritto98 5 лет назад
Me
@andreaspambis8432
@andreaspambis8432 5 лет назад
too many
@michaelgimenez4032
@michaelgimenez4032 4 года назад
Passed no, passed the 80% mark yes. I score 80 on the midterm, found that channel , finished with 89% :)
@Guy_OFFICIAL
@Guy_OFFICIAL 3 года назад
Not my mine
@JerrySpringfield1
@JerrySpringfield1 3 года назад
Being taught this during online classes is a nightmare. They give you some chart that explains absolutely nothing, then it asks you to solve all these problem. Literally have had to teach myself for two semesters now from RU-vid videos. Glad these exist.
@Sara_Lauren
@Sara_Lauren 2 года назад
I just wanted to say thank you after nearly 10 years of watching your videos - I started watching while taking Honors Chem in high school, went through my Biomed undergrad and a Masters, and now am taking my Genetic Counseling board exam next week. I knew whenever I needed a concept explained, I could count on an in-depth review by you. Truly, thank you!
@B3bita1215
@B3bita1215 8 лет назад
Mr. Andersen Thank youuuuuuuuuuuuuuuuuu!!!!!!! You are amazing, got 98.5 % on my genetics test. Thank you, thank youuuuuu.
@Juliantje94
@Juliantje94 12 лет назад
My biology 30 teacher doesn't even teach anymore... he just shows your videos because he knows that you can explain it way better than he can. thank you Mr.Anderson
@vampirewalldecor
@vampirewalldecor 8 лет назад
You just saved me from failing my quiz tomorrow in AP biology. Thank you!
@Pokechamp653
@Pokechamp653 5 лет назад
A way I learned to remember which one im looking for: The word "Population", contains 2 P's, and the word "Frequency" Contains 1 Q, Which is exactly what youre looking for in each. (Just remember that youre most likely going to be looking for Q squared first with populations)
@flop1272
@flop1272 4 года назад
Thx
@juliak9899
@juliak9899 4 года назад
Thank you for sharing this method!
@yashinipandi7235
@yashinipandi7235 4 года назад
thank you so so much for this!
@Pokechamp653
@Pokechamp653 4 года назад
@@yashinipandi7235 youre welcome! its only been a year and not only have i totally forgotten this comment but i have no memory of the actual work or what its about. (says a lot about the one and done education system) but i can say that i got an A on the exam, so best of luck! lmao
@markmarkson3047
@markmarkson3047 4 года назад
Smart
@davidadams255
@davidadams255 Год назад
I'm a med student who took a few years off school, so I have to do a lot of refresher content. Years later, coming back to these same videos I used to learn biology is a nice burst of nostalgia. Thanks for the years of help Bozeman Science!
@devintruong
@devintruong 10 лет назад
my teacher was to lazy to teach us so she assigned this video for homework
@daleeraemottahedeh167
@daleeraemottahedeh167 6 лет назад
HAHAHAHAHA MINE TOOOOO
@Crembonii
@Crembonii 5 лет назад
eyy
@makaylareyes90
@makaylareyes90 5 лет назад
me 2
@MrAstarothien
@MrAstarothien 5 лет назад
She is probably not lazy, just recognizing that Mr. Anderson is bonkers at explaning bio, and other stuff aswell. This man needs a nobel prize in explanations or something of the like
@ayeeshsworld595
@ayeeshsworld595 4 года назад
This is very bad
@2jukojohn
@2jukojohn 9 лет назад
Dude u rock. Thanks man
@Bozemanscience1
@Bozemanscience1 9 лет назад
juko j Thanks so much. All credit goes to Hardy and Weinberg. They rock.
@ryan80166
@ryan80166 9 лет назад
Bozeman Science nah nigga, you rock
@starwarsrules4826
@starwarsrules4826 7 лет назад
HAHAHAHA
@drvivekmani
@drvivekmani 5 лет назад
Very easy you teach,thanks a lot
@thijmendehaas1339
@thijmendehaas1339 3 года назад
@@ryan80166 💀
@TheMapleKMS
@TheMapleKMS 7 лет назад
I love bio, but I just could not for the life of me get myself to understand this equation. Idk why but you explained it so much better than all of my professors ever had combined. Much appreciated sir.
@razorhighflyer
@razorhighflyer 4 года назад
Holy crap, when you said you "lost me", you actually didn't. You explained everything quite directly, and the examples used are very informative and explain the topic comprehensively. It takes a lot of skill to do this, and you have nailed it!
@JenBurton101
@JenBurton101 9 лет назад
I usually have to watch 1 or 2 of your videos every week for APBio, and they're always helpful. You explain things very clearly and concisely. Thank you so much!
@ak-hy4lo
@ak-hy4lo 8 лет назад
YOURE MY SAVIOR!!!! My exam is in 7 hours!!!! Thanks man!
@ak-hy4lo
@ak-hy4lo 8 лет назад
I want to give this more than 1 thumbs up :') you sir are a legend
@miamiry8737
@miamiry8737 10 лет назад
Totally cleared things up for me...I've been reading about this concept over and over and couldn't grasp it until now, thanks to you...you are an angel!
@sfgiantsfan12345
@sfgiantsfan12345 9 лет назад
This guys is the man, every one of his videos has answered all of my questions
@kenyamcintosh
@kenyamcintosh 9 лет назад
I learned more from this video than from my ap biology teacher
@x0cx102
@x0cx102 6 лет назад
At 3:28, he mentions the probability of getting two reds is (7/10) * (7/10) according to the law of "multiplication". In a sufficiently large sample size, this would be approximately correct, but in his analogy, the probability of getting two reds would actually be (14/20) * (13/19), as they aren't independent events here.
@christinawalker6356
@christinawalker6356 5 лет назад
That's what I was thinking but I dont think the gene pool changed when he took the second sample.
@immekooi2865
@immekooi2865 5 лет назад
And even more precise; (14/20) * (13/19)
@craigcambridge2484
@craigcambridge2484 6 лет назад
The best Hardy Weinberg explanation online. Totally worth the watch. Thank You
@mkriddlez7805
@mkriddlez7805 3 года назад
At 35 I'm re learning how to learn. You, Mr Anderson, have made it much easier! I hope you continue to do what you do because kids today and adults alike need folks like you more then ever. You are a master at your craft. Excellent teacher. Thank you. Cheers :) Dee
@Re94Becca
@Re94Becca 11 лет назад
I just got my mark back for my first year university bio...I was sure I was failing the class but I went into my final exam worth 50% of my grade confident that I would do well after watching these videos! I'm sure these videos helped me boost my mark up two letter grades, with this one helping the most. There where about 4 questions on the exam about the Hardy Weinberg Equation and I would not have known the answers had I not watched this video. THANK YOU SOOOO MUCH FOR POSTING THEM!
@joker37281
@joker37281 10 лет назад
Looks like I'm not failing my biology test tomorrow.
@AidanKane
@AidanKane 4 года назад
did you fail it
@austinjobst4154
@austinjobst4154 4 года назад
yuh man tell us
@tanmay8426
@tanmay8426 3 года назад
What are you upto recently?
@Lucyandcaroline
@Lucyandcaroline 3 года назад
I hope I won't lol
@thijmendehaas1339
@thijmendehaas1339 3 года назад
@@austinjobst4154 he did not tell us ):
@quincey3528
@quincey3528 2 года назад
Dang, still a lifesaver with a decade old video..thank you!!
@cranedaddy678
@cranedaddy678 3 месяца назад
I just found this for my wife who is taking a biology class and now I look like the smartest man alive. Ty Bozeman Science!
@josephyang5036
@josephyang5036 10 лет назад
wow thank you. it took my TA in college 4 hours to explain hardy weinberg and chi-squared test while it only took you 20mins. thanks a bunch
@kev3562
@kev3562 8 лет назад
it feels like a huge weight has been lifted off my shoulders. thank you so much, you are amazing.
@Timetonut
@Timetonut 3 года назад
Lifesaver! Thanks for calming my seething brain, and helping me breathe deep and see through all the confusion.
@jameswindolf5939
@jameswindolf5939 6 лет назад
Dude, you have been helping me along since freshman year. I graduated JC with excellent grades and transferred to a very good university. Now you are helping me through university as well. I am so very appreciative. Thank you so much.
@camilajaramillo5511
@camilajaramillo5511 8 лет назад
It's like crashcourse is charmander and you are charizard. Both amazing but you're at another level!. Thanks, dude.
@99growlithe99
@99growlithe99 7 лет назад
Lol, comparing the evolutions of two Pokémon on a video relating to evolution. Nice.
@itsnotme6869
@itsnotme6869 7 лет назад
99growlithe99 technically you can't use hardy weinberg when evolution is happening because the population would change. Sorry for being a smartass
@RaincloudTheDragonXD
@RaincloudTheDragonXD 7 лет назад
Floor Abbestee huehue well played :3
@russelldamico9444
@russelldamico9444 9 лет назад
Once again sir you save me from failure in AP Bio
@unifiedbiology
@unifiedbiology 5 месяцев назад
I just sent two of your videos to one of my students to clarify the Hardy-Weinberg mess she had to decipher! 😊 Teachers and students everywhere enjoy what you do! You are CLARITY in a sea of mis and dis information!!!
@salvia_salmon
@salvia_salmon Год назад
its been 3 years , ive watched numerous class on this topic and finally today ...i know what it means.. thnk you
@heyo1762
@heyo1762 7 лет назад
You taught me more in 10 minutes than my teach did in 80
@ezzeldin3714
@ezzeldin3714 3 года назад
You did hardy weinberg in an hour and a half?
@allofdestiny
@allofdestiny 7 лет назад
awesome video super helpful
@thebrightnights8677
@thebrightnights8677 Месяц назад
اشكررررررررررك انا من السعودية 🇸🇦 وتوي افهمها ماتصدق وش كثر عانيت الله يهدي قلبك للاسلام واقابلك بالجنة ❤❤❤❤❤❤❤❤
@prettyangry5665
@prettyangry5665 8 лет назад
I haven't been able to do Hardy-Weinberg all year long. I've had my teacher show me how to do it, I've read my textbook over and over, but I still couldn't grasp it. Tomorrow I've got an important biology exam, and the likelihood of Hardy-Weinberg coming up is very high. I can't even thank you enough for how much this video has helped me. I grasped it immediately!
@thegamingalphas9227
@thegamingalphas9227 5 лет назад
Blankly stared at my bio teacher for 40 minutes, came here and learned it in 11 minutes.
@stephanieu5817
@stephanieu5817 7 лет назад
I was so lost when my bio teacher was explaining this, I stared at the homework all class period lol this helped me out, at least I know where to start now.
@morganduvall9322
@morganduvall9322 10 лет назад
Thanks a million! I learn 10 times as much watching your videos as i do in my freshman honors bio class! Thanks again and again and again!
@aiimmanadamm
@aiimmanadamm 8 месяцев назад
After 11 years, I still found this video super useful, thank you so much
@NobertBayelle
@NobertBayelle 10 лет назад
You must be the greatest teacher ever!
@traviswilson1993
@traviswilson1993 7 лет назад
This was awesome. I've never taken a class on this or anything but halfway through the video I understood why the formula is the way it is and I even made up a method to solve when there are 3 alleles, so thanks a lot!
@traviswilson1993
@traviswilson1993 7 лет назад
(if the third allele is z) p^2 + q^2 + z^2 + 2pq + 2pz +2qz = 1 I quickly realized that the base equation is rarely viable because it only applies when there are 2 possible alleles. In the case of this new equation, 1 given is not enough, (because there are 3 variables in the equation) so you would need 2 givens to actually solve it.
@bachukidalakishvili6658
@bachukidalakishvili6658 7 лет назад
Good mathematical thinking,but know this.Traits are usually determined by 2 alleles,so you don't have to struggle so much.The only time 3 alleles are used is during Codominance(blood types would be an example)but still good job
@suzig6185
@suzig6185 9 лет назад
This video is awesome. For one thing, it's at least a minute shorter than all of the other videos on this subject I've seen, and I actually get the material now. Thanks!
@entguy1
@entguy1 10 лет назад
This man is a beast! Thanks, Mr. Andersen, for all your generous work, as it's surely helped me secure multiple A's on my exams thus far!
@amirfarouqi8881
@amirfarouqi8881 8 лет назад
Massive respect to you 👏🏻
@JowlsMcMutt
@JowlsMcMutt 5 лет назад
2019 AP bio gang wya?
@vascularviet
@vascularviet 5 лет назад
Geet geet
@sagerosemarythyme6632
@sagerosemarythyme6632 4 года назад
ayeeee midterm time
@drews5798
@drews5798 4 года назад
test tomorrow…yikes
@meletr4734
@meletr4734 3 года назад
2020 over here and i got my test in an hour
@juliarucker6238
@juliarucker6238 3 года назад
2021 AP bio gang
@parksoomin4638
@parksoomin4638 8 лет назад
You are the most fantastic, effective and magical bio teacher i had ever met. Thanks so much!
@amandaharding2970
@amandaharding2970 6 лет назад
Thanks!!!! After many hours of reading and watching lectures, your video was SO helpful!
@WilesDS
@WilesDS 9 лет назад
this guy is a fucking boss, MAD RESPECT.
@bioseriesbypbest3983
@bioseriesbypbest3983 5 лет назад
Thank you so much, students from Thailand.
@elyseoldham8166
@elyseoldham8166 4 года назад
This guy is great! Explanations are so clear!
@kensanemthembu4018
@kensanemthembu4018 7 лет назад
Thank you sooooo much your channel has literally been my saving grace throughout my entire science degree.
@Mssamgirl15
@Mssamgirl15 10 лет назад
Best video for my college education.
@lunchboxfaru
@lunchboxfaru 9 лет назад
Great jobs! Thx from Germany!
@jaidymelendez5657
@jaidymelendez5657 5 лет назад
I read the whole text book and didn’t find anything explaining this so I found you and OMG YOU SAVED ME AND MY GRADE. ForEVER THANK YOU
@PraneetPaidisetty
@PraneetPaidisetty 9 лет назад
This really actually helped me out, one of the first on RU-vid especially since there aren't many good education videos on RU-vid. THANKS!!!
@anjalik.6570
@anjalik.6570 8 лет назад
Thank you soooo much!! My teacher doesnt explain this too well, she goes SOO fast!! But you go slow and actually explain. Thank you omg...
@hollyxberry
@hollyxberry 8 лет назад
I absolutely failed this in bio... Two/three years later I find this video and a light bulb went off. Thank you!
@BadSho7
@BadSho7 9 лет назад
Thank you for these online lectures. These are gold :)
@nonaamer
@nonaamer 4 года назад
I can't tell you how happy I am to find your video I was totally hopeless to get to understand this. Some how you made it simple. Thanks a lot
@98Impossible
@98Impossible 9 лет назад
Great teacher! I can always trust Bozeman Science to teach me science!
@meeraramanujam3665
@meeraramanujam3665 8 лет назад
Thank you so much ! It helps a lot :)
@forestofoctober4688
@forestofoctober4688 5 лет назад
Thank you Mr . Anderson !! Your videos always help me .
@bellzinhamoreira
@bellzinhamoreira 8 лет назад
Thank you! I'm from Brazil, I have a test tomorrow and you saved my life. ❤
@xXCtricSlayerXx
@xXCtricSlayerXx 10 лет назад
so much better than my Biology teacher.
@biolearn8464
@biolearn8464 9 лет назад
I wish there were real life professors such as Bozeman Science and patrickJMT teaching in Universities. All I get is inconsiderate, lazy, or non-english speaking ones in exchange for thousands of my dollars.
@jaferization
@jaferization 9 лет назад
which university do you go to ? i go to University of houston and have great bio professors.
@biolearn8464
@biolearn8464 9 лет назад
jafer bohra Temple University...great school just when it comes to sciences there are a lot of shitty professors who I always end up with. Will be using rate my professor from now on!
@supreetsingh987
@supreetsingh987 5 лет назад
It's lucky we have awesome sources on the internet:)
@samham7787
@samham7787 9 лет назад
Excellent explanation .. I loved the fact you explained where the equation had come from .. Lots of thanks for the effort you've put in .. really appreciated
@prav3178
@prav3178 27 дней назад
Thank you so much. I was with you the whole video and felt so much more confident by the end
@John-bq1lp
@John-bq1lp 5 лет назад
AP BIO tomorrow!!!
@reidloSdoG
@reidloSdoG 9 лет назад
29 people either don't speak English, or are rival instructors.
@nejatahmed1584
@nejatahmed1584 5 лет назад
lol
@SongMimisWorld
@SongMimisWorld 2 года назад
Went back to college after dropping out years ago and my professors started throwing this at us with no explanation. All the younger kids got it but I didn't have any idea what they were talking about. This video made it crystal clear!
@laura.m.illustrations4179
@laura.m.illustrations4179 2 года назад
You are an actual lifesaver. Seriously. THANK YOU!!
@LegendaryGarageYT
@LegendaryGarageYT 10 лет назад
Thank you got an A on my lab quiz cause of you
@godronexe
@godronexe 4 года назад
i just took the 2020 practice AP bio test and holy fuck the hardy weinburg part single handedly made me run out of time
@kristianm9112
@kristianm9112 6 лет назад
Just want to say that your videos help me out a lot I’m taking bio 30 in 8 weeks so these have saved me on multiple occasions!! Thanks!
@taladiv3415
@taladiv3415 3 года назад
Thank you for your clarifying the derivation of the equation so nicely!
@martibethsomers4362
@martibethsomers4362 9 лет назад
how did you get .6 at 7:30
@saikiranjajula2033
@saikiranjajula2033 9 лет назад
Thank You.. May God Bless You..
@brittanyrodriguez1323
@brittanyrodriguez1323 10 лет назад
This is the best explanation I have seen yet. You are amazing thank you so much!
@emilyklyce4854
@emilyklyce4854 6 лет назад
I was struggling to memorize which matches up with which but you explained it perfectly. Now I understand so memorization isn't necessary. Thanks Mr. Andersen!
@armaansingh2505
@armaansingh2505 2 года назад
Hello Fellow AP Bio students
@tony_dpa8379
@tony_dpa8379 Месяц назад
I need this for hn bio 😢
@lilyelizabeth1333
@lilyelizabeth1333 8 лет назад
Good old Paul. Praise the lord.
@joelbascombe9671
@joelbascombe9671 5 лет назад
You are a life saver!!! On behalf of medical students globally, I thank you !
@chips4ever1288
@chips4ever1288 9 лет назад
Great tips! Hopefully when I take my practice exam tomorrow I'll use what you taught in the video! Thank you so much now that I have a better understanding of how to attack a Hardy Weinberg problem!
@randomvideos7377
@randomvideos7377 5 лет назад
howd he get 7/10????? Plz answer quickly :(((
@randomvideos7377
@randomvideos7377 5 лет назад
Supreet Singh ohhh yh thank u!!🙏🏻🙏🏻🙏🏻
@wwfww
@wwfww 10 лет назад
son of a bitch, why can't my teachers be half as good as this guy....
@lesliep.7508
@lesliep.7508 2 года назад
Omg. I seriously couldn’t get this through my head and this seriously helped. You are a God.
@stillwithyou7916
@stillwithyou7916 Год назад
This helped me ten years after it was uploaded I’m so grateful
@emmaseig1460
@emmaseig1460 4 года назад
dude the fact that your such a good teacher and i still don’t get it proves i’m an actual unreachable idiot
@lalalia7724
@lalalia7724 3 года назад
same here
@pjduncan9764
@pjduncan9764 5 лет назад
i have to come here because my biology teacher hates all of us and doesn’t teach us in class
@MargaritaMilidakis
@MargaritaMilidakis 3 года назад
I am crying over how helpful that was. Thank you so much
@elisejennings9816
@elisejennings9816 10 лет назад
really helped me review for my final and clear up what I have learned in class over the last 18 weeks
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