help-23

[split fulcrum]

maybe we find the answer?

[lime nexus]

oh wait

that works too

yes u can do tha

[split fulcrum]

whats ur method?

[lime nexus]

never thought of it that way ios mbmb

[lime nexus]

find the % of 50 ppl via z score

u just look at the graph

lol

but u can do it that way too

it all works

[split fulcrum]

okay

[lime nexus]

so what do u get then?

ur very close

[split fulcrum]

so 15 people but i need the percentage

[lime nexus]

mhmmm

15 ppl are aged over 50

so what do u need to do to get the %

[split fulcrum]

so 1600 have z>1

so am i using that population?

[lime nexus]

tell me what the question is asking

[split fulcrum]

this

[lime nexus]

i think u can answer this urself

just ur gut

[split fulcrum]

okay

[lime nexus]

so is ir a yes or no

[split fulcrum]

ye

0.93%

[lime nexus]

mhmmm

[lime nexus]

be exact

[split fulcrum]

0.9375

[lime nexus]

dont forget the %

[split fulcrum]

o yeah

[lime nexus]

0.9375%

[lime nexus]

just leave it as that and byebye a mark maybe

but yeahhh

thats the answer

[split fulcrum]

yay

wooohoo

[lime nexus]

does this process make sense?

[split fulcrum]

bro i could not do all of this in the hsc 😭

[split fulcrum]

ye

[lime nexus]

ITS OKAY

U GOT THIS

[lime nexus]

hurray

[split fulcrum]

thank u for the help

once again

[lime nexus]

nppp

[lime nexus]

try to understand what the qn wants first then break it down

see with what resources u have are able to help u solve it

🫡

[split fulcrum]

yep yep

hope ur enjoying ur dinner 🤣

[lime nexus]

THANKS LMAO

im brushing my teeth rn

finsihed it 10mins ago

lol

[split fulcrum]

ahh lmao nice

multi tasking eating dinner while helping with math and then brushing teeth

[lime nexus]

lol yes

[split fulcrum]

i waws planning to do this trial paper in timed conditions because i was doing hsc 2021 and 2022 yesterday in timed conditions

but this trial paper cooked me so bad in mutliple choice and first few questions i jsut gave up bruh

😭

[lime nexus]

noo dont give up

for me

even if u get cooked

read thru the solutions

keep reading until u understand what they do

once u understand it, all other qns similar to it will work quite similar

keep grinding papers

[split fulcrum]

yep

hopefully i can get on top of finance and this zscore crap by monday

https://tenor.com/view/cat-death-lol-gif-20542436

[lime nexus]

u got thissss

[split fulcrum]

me fr

[lime nexus]

same bro

[split fulcrum]

i hope the majority of this years hsc will be calc related 🙏

[lime nexus]

im gonna mald over probablity

[lime nexus]

pls

[split fulcrum]

if they make it all stats its actually ggs

[lime nexus]

that’ll be amazing

[lime nexus]

fair enough

nah i dont like biavraite

like the explain qns

no maths

just englsih

end of me

[split fulcrum]

bivariate stuff is fine for me

i just use my fx8200 au

lmaooooo

[lime nexus]

i have that too

[split fulcrum]

its such a lifesaver

[lime nexus]

but the explain quesitons r so bs

[split fulcrum]

theyre aight

[lime nexus]

there was like this explain qn in my trial

and they didn’t take extrapolation as an answer

[split fulcrum]

🫡

[lime nexus]

😞

[split fulcrum]

i have one more quick q if ur able to help wit it

[lime nexus]

uhh ill try

[split fulcrum]

i solved this before but i forgot how i did it lol

,rccw

[split fulcrum]

wouldnt the angle be 45 deg

but thats not right

[lime nexus]

i think so

[lime nexus]

whats the A for

[split fulcrum]

oh wait

[lime nexus]

i dont think u need it

[split fulcrum]

im blind

i think

i dont have the radius

[lime nexus]

i think u can find radius with area of triangle

[split fulcrum]

oh wait thats the wrong forumula

1/2 ab sin C

but a and b = r

so r^2

[lime nexus]

is radius 5.32 ish

[lime nexus]

mhmm

[split fulcrum]

ye

okay gawt it

thanks for all the help

OMG THE MATH TEST IS TOMORRRORWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW\

ITS TOMORRRRRRRRRRRRRRRRRROWWWWWWWWWWWWWWWWWWWWWWWWWWWWW

[lime nexus]

is the answer 32.56 ish

for perimeter

[lime nexus]

NOOOO

[split fulcrum]

yeah but they rounded it to 32.6

[lime nexus]

ahhh

did u get the answer?

[split fulcrum]

ITS TOMORROWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW 😭

yep

[lime nexus]

it is in 33 hours and 20mins

i think

[lime nexus]

hurray

[split fulcrum]

AHHHHHHHHHHHHHHHHHHHHHHHHHHHH

[lime nexus]

do u have another more qns?

[split fulcrum]

hmm lets see

oh theres a financial one i would like todo

ohhhhhhh

[lime nexus]

oh god

[split fulcrum]

ohhh my god

it looks so

so not nice

wait actually

its a sequences and series

but it has like

the financial math questions format

[lime nexus]

thats basically all financial qns

fun

send it

[lime nexus]

oh god

give me a moment to read

[split fulcrum]

to make it easier

[lime nexus]

tyty

sooo at the end of the first year

itl be P1= 1000(1+0.1) -Q

i think

[split fulcrum]

this is um

wait

[lime nexus]

?

[split fulcrum]

this is like a loan

[lime nexus]

lowkey i think i idd this before

smowhere

[lime nexus]

yeah sorta

[split fulcrum]

but instead of money its deer

🦌

[lime nexus]

its more like investinf some amount with yearly withdrawals

maybe

no clue

[split fulcrum]

$P_{n+1}=P_{n}\left(1+r\right)-Q$

[flat frigate]

water beam

[split fulcrum]

is it ?

[lime nexus]

how did u get that

(idk if its right or wrong)

[split fulcrum]

i remembered the formula my math teacher gave me

[lime nexus]

i was gonna do it in a diff way

[split fulcrum]

its from annuities

[lime nexus]

ohhh i never seen that before

[lime nexus]

i have never touched annuities in school besides for 1 period

fun

[split fulcrum]

If u dont do ext2 u will see it

🤣

[lime nexus]

i mean tehcncially i will see it tmr

depsite doing ext2 lol

[split fulcrum]

NOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO DONT SCARE ME

[lime nexus]

ideallu not pls im gonna die if i see annuties

[split fulcrum]

what way were you thinking>

[lime nexus]

whats amazing abt ext is that thers no fnancial maths

[lime nexus]

uhh

i was gonna find like p1 p2 and p3

and find a pattern from it

then turn it into pn

[lime nexus]

i mean u can try that out anf see if it works

it could!?

[split fulcrum]

okay ill try

wait

i think im cooking

[lime nexus]

i ujst got the answer for part a

hbu

[split fulcrum]

LMAO

I JUST DID THE EXACT THING THE QUESTION TOLD ME NOT TO DO

[lime nexus]

HUH

[lime nexus]

WHATS THE EXACT THING THE QN TOLD U NOT TO DO

[split fulcrum]

do not prove this result

do not

😭

[lime nexus]

w a i t

WA I T

I PROVED THAT

TOO

AHOFSFSDV

FDP

goodbye

wha the acutal flip

[split fulcrum]

lmaooo and its 2 marks only we're not gonna get any marks for that

[lime nexus]

more like we did more working out then needed for 2 marks

bye i proved that

i actually did not see that

i swear i have selective reading

idk if thats a real thing

selective hearing is

[split fulcrum]

lmfao 😭

[lime nexus]

anyways

did u get the answer

[split fulcrum]

im tryna simplify the geometric series rn

[vale oriole]

lock in

[split fulcrum]

$P_{n}=1000\left(1.1\right)^{n}-Q\left(\frac{1.1^{n}-1}{0.1}\right)$

[flat frigate]

water beam

[split fulcrum]

is it this

[lime nexus]

basically we only needed the working out from the white part

crying

[split fulcrum]

this is what im getting for the geometric series thing

[split fulcrum]

lmao i did exactly what u did 😭

[lime nexus]

yes

[split fulcrum]

how do i get it to look like the question tho

[lime nexus]

u could start off by getting rid of thebfraction

since the thing we want to get doesnt have any fractions

[lime nexus]

the rigght part, u can simply move the 1/0.1 out of the brackets since its a constant

-Q/0.1 times (1.1^n -1)

[split fulcrum]

ohhh okay

[lime nexus]

makes sense?

[split fulcrum]

so 1/0.1 becomes 10

[lime nexus]

yuhhh

[split fulcrum]

$P_{n}=1000\left(1.1\right)^{n}-10Q\left(1.1^{n}-1\right)$

[flat frigate]

water beam

[lime nexus]

yus

now

theres not rlly much we can do with that

i guess thers bascially only one obvious move

what do u thinj we would do next?

[split fulcrum]

expand and factor out the 1.1^n

[lime nexus]

yus

[split fulcrum]

okayyy got it

got the answer

woohoo

[lime nexus]

woop woop

[split fulcrum]

still cant believed we proved it lol

[lime nexus]

and the fact

we both didnt see it

man i need to stop doing that

[split fulcrum]

i hope i dont accidentally do this tomorrow and waste time

[lime nexus]

costing me my ranks 💔

[split fulcrum]

lmaoo

okay part B looks like a big question

[lime nexus]

there was never a task besides once where i did selective reading

like

in at1 for ext

i coepmetpely

didnt see part b of a qn

like

i went from a to c

and i didnt even realise i skipped b

I DIDNT SEE A B

so sad

[lime nexus]

yesyes

could u send part b qn here

[split fulcrum]

ye

[lime nexus]

hmm let me try smt

[split fulcrum]

so i know from a previous financial maths question similar to this u have to end up setting the sequence P_n = 0 and solve for n but i think theres steps we need to do before that

[lime nexus]

mhmm

is the ansewr2058

[split fulcrum]

ill check

n=8.9

💀

wait

[lime nexus]

what aboutthe year

[split fulcrum]

985

it says

[lime nexus]

what

[split fulcrum]

wait

wa

[lime nexus]

2053

damn it

[lime nexus]

NOO I READ IT WRONG

oops

[split fulcrum]

wat happen

[lime nexus]

i found the value when there was no more deers

ooops

not for deers less than 1000

[split fulcrum]

ohhhhhhhhh

[craggy sedge]

hello water how have you beam

[split fulcrum]

hello convergence im doing good i have my final math exam tmrw

[lime nexus]

another aussie??

[lime nexus]

i got the answer hbu?

[craggy sedge]

oh all the best you got this

[split fulcrum]

naw jus a friend

[lime nexus]

ahh

[split fulcrum]

thank u

[split fulcrum]

nah i dont know how to start 😭 do you plug in n=20

[lime nexus]

ok so

the first part

is to find how many deers r left after 20 years since stuff changes after the 20th year

[lime nexus]

yes and what will this allow us to find?

[split fulcrum]

wait but i have to also consider that 80 deer will be removed

so Q = 80 right

n = 20

and this finds us

uh

the amount of deer left?

after 20 years

[lime nexus]

more specfic pls

[lime nexus]

yus

do that

[split fulcrum]

okay

so i got

2145.4999 deer left

[lime nexus]

me too

now

the next part of the qn

what changes

[split fulcrum]

300 deer will be removed and i need to find n such that P_n = 1000 or something?

[lime nexus]

semi correct

yk the fomrula we got from part a

1.1^n (1000-10Q) + 10Q

tell me what the 1000 means

in there

[split fulcrum]

1000 is the initial number of deer?

[lime nexus]

correct

do u think the 1000 will change for this qn now

[split fulcrum]

uh im not sure, why would it change?

[lime nexus]

lets think of this

with that correct formula

it worked up until now

with 80 deers

but now we changed our deers to 300 at the start of 2045

[lime nexus]

for 20 year

right

[split fulcrum]

ohhhhh wait

if it changes to 300 deer

we get negative deer

[lime nexus]

u can think of the next year, for 2046

[lime nexus]

uhh not sure what ur trying to say

[split fulcrum]

wait i think im yapping 😭

scratch that

[lime nexus]

as the start of a whole new formula

like

new year most things are different

for the 21st year/2046

1000 is no longer ur intial maount of deers

it is 2145.5 now

[split fulcrum]

ohhhhhhhhhhhh

i get what ur trying to say now

[split fulcrum]

so this is our new initial for the year 2045?

[lime nexus]

idrk how to explain it properly

[lime nexus]

yes

and that is bc

the deer is changing to 300

so the old formula isnt consistent anymore

u can think of it so rn were at end of 2045 as 20 years has past

u can say we start at 2046 rn

let end of 2046 be p1

so that means we get our inital value fromthe value in 2045

[split fulcrum]

so do we have to replace our old formula for 2025 with our new iniital in 2045?

[lime nexus]

i made edits to that whole blob u could read it again

[lime nexus]

does this kinda clarify it more

[split fulcrum]

yeah

[lime nexus]

u tell me

[split fulcrum]

yerah

[lime nexus]

mhmm!

[split fulcrum]

is that the only thing we have to change there

[lime nexus]

so that saying, whenwe solve for n were gonna get some amount of years BUT REMEMBER IT WILL BE N YEARS AFTER 2045

[split fulcrum]

o okay

[lime nexus]

what do u think the new formula will ve

[lime nexus]

do yk why?

[split fulcrum]

its from 2045 onwards right because for the first 20 years 2145.5 was our initial value which means the years after that will be 2045 + n years?

$A_{n}=\left(1.1\right)^{n}\left(2145.5-10Q\right)+10Q$

[flat frigate]

water beam

[lime nexus]

good so far

[lime nexus]

yus

youll later get n=8.9

so remeber that

the answer wont be 8.9

itll be 8.9 years after 2045

since we started from 2045

to get the answer of during 2053

ujst trying makw that part clear first

makes sense?

[split fulcrum]

yep

[lime nexus]

good so far

now what do u sub in

[split fulcrum]

hm

[lime nexus]

that formula works from 2045

what happens to the deers from 2045

[split fulcrum]

Q = 300

[lime nexus]

yusss

and thers one more thing

[split fulcrum]

hm

[lime nexus]

so we got Q = 300

i have no idea how to use bots

im just gonna

$A_{n}=\left(1.1\right)^{n}\left(2145.5-10(300)\right)+10(300)$

[flat frigate]

kristy

[lime nexus]

we have this so far

[split fulcrum]

$A_{n}=\left(1.1\right)^{n}\left(2145.5-3000\right)+3000$

[flat frigate]

water beam

[split fulcrum]

yuh

[lime nexus]

were trying to find how many years does it take to get number of deers to be less than 1000 yeah?

[split fulcrum]

yeah

[lime nexus]

so that means

what are we trying to solve for

An or n

[split fulcrum]

n

[lime nexus]

since those 2 are the only unknown variables we have left

[lime nexus]

correct

now what does An mean

[split fulcrum]

A_n is the amount of deers left after 2045 + n years

[lime nexus]

correct

so what will An be then

it has to be a number since we want to solve for n

and to solve for n, n can be the only unknown variavle

the rest has to be some number right

[split fulcrum]

yeah

do we want A_n = 1000?

[lime nexus]

mhmmm

[split fulcrum]

okay

[lime nexus]

essentially this means how many N years will it take to reach 1000 deers right?

[split fulcrum]

yea

[lime nexus]

before u start

if i said

what if i wanted to find how long itll take to get the deers to be extinct

what would An be

[split fulcrum]

0

[lime nexus]

yusss

ok now

whats the fomrula that we have now

[split fulcrum]

$\left(1.1\right)^{n}\left(2145.5-3000\right)+3000=1000$

[flat frigate]

water beam

[lime nexus]

yusss

now u can solve for n

via algebra

[split fulcrum]

ye

[lime nexus]

lmk when u get an answer

[split fulcrum]

yep

i get 8.9222

[lime nexus]

yus

what do we do next now

what does the qn want us to find

[split fulcrum]

we want the year but A_n gives us the answer from 2045 + n years so we add n to 2045

[lime nexus]

mhmmm

and that gives?

[split fulcrum]

do we round down or up our answer for n tho

[lime nexus]

could u sned the qn again

[split fulcrum]

in some financial math questions when u solve for n sometimes u round down i think

[lime nexus]

if it refers to time i would say it depends

its more like

u gotta think logically which makes more sense

[lime nexus]

find the year in which the number od deer in the park will first fall below 1000

that means

if its 8.9

added to 2045

itll be 2053 and some months

this means

itll fall below 1000 some time during 2053

[split fulcrum]

ahh okay

[lime nexus]

more spefically

end of october

[split fulcrum]

there will be no more deer during the end of this month

[lime nexus]

but

we just want the deer

[lime nexus]

not neccessially

there will be less than 1000 deers at the end of the month

[split fulcrum]

oh yeah true

[lime nexus]

dont misread the qn!

[split fulcrum]

yep

[lime nexus]

and the qn only wants us to find the year it happens during

in this qn it happens during 2053 right

thus the answer is 2053

[split fulcrum]

yesyes

[lime nexus]

hope that makes sense

does it

[split fulcrum]

ye ye

when they say the population is roughly 985

do we need to include that?

[lime nexus]

since the qn only asks for year

then no

i mean u can say like

number of deers will drop below 1000 during 2053

should be sufficient

[split fulcrum]

they got 985 from plugging in n = 8.9 or something?

[split fulcrum]

ya

[lime nexus]

i got october form the 0.9, 8 years and 0.9 of a year which is ocrober

[lime nexus]

when they round 8.9 to 9

itll be 985 population of deer

[split fulcrum]

ohh yeah because n is an integer in the question

[lime nexus]

the 8.9 is when it FIRST goes under 1000

[lime nexus]

they usbbed n=9

[split fulcrum]

yea

[lime nexus]

ig it jujst shows like any n number after 8.9, the populaton will be less than 1000

[split fulcrum]

yep yep

this deer question will help me deal with future financial maths questions i think when money is involved it really confuses me but ill just think of deer from now on

[lime nexus]

lMAO OKAY

hope this makes more sense now!

[split fulcrum]

ya thank u ur rlly good at explaining stuff

u should become a tutor 🤣

[lime nexus]

thank you 😭

[lime nexus]

LMAOO

i mean

maybe

they make money

decnetly enough for a teenager

[split fulcrum]

u must be like rank 1 or something in ur class 😭

[lime nexus]

more than mininum wage at kmart or smt

[lime nexus]

nup

[split fulcrum]

super cracked at maths

[lime nexus]

i wihs

lol

i think overall im 15 in adv

7th in ext

imtrying to push higher in ext

[split fulcrum]

nice nice u still have a lot of time

[lime nexus]

qn

do yk how like ur school needs to submit ur ranks anf stuff to nesa by a certain due date

aka early septemner

[split fulcrum]

yeah

[lime nexus]

so like

there was an error in my ext trial

so that means either marks will be added or removed

to make it equal

it was a 2 marker

so ppl who got marks

either eveyrone will get 0/2 or 2/2 for i

since the qn was wrong

BUT WE ONL FOUND THE ERROR AFTER THE SUBMISSION DATE

[split fulcrum]

rank as in are you referring to year 11 or year 12 final ranks

[lime nexus]

12

[lime nexus]

i think i could go up a rank or 2 after its been fixed if it even can

im atually gonna be like so mad if i dont

bc its unfair

[split fulcrum]

im not entirely sure if you can change the ranks after youve submitted an assessment because my math teacher would always make sure we check our paper before he submits our marks to nesa but i think you can appeal

does ur teacher know>

[lime nexus]

its the teachers fault 😭

[lime nexus]

yes

but she doenst know if she can

snfpsdfkd

[split fulcrum]

hm

[lime nexus]

but itll be unfair cause techcnially i would be ranked higher than

[split fulcrum]

i think you can maybe appeal but if she doesnt know then its worth bringing up with your principal

[lime nexus]

U WILL BE CRAKED AT MATHS TOO U GOT A DAY

[lime nexus]

scary

[split fulcrum]

🤣

my principal is a bald man

[lime nexus]

i got a new principal

[split fulcrum]

i have ancient history the day after weeeeeeeeeeeeeeeee wooohoo!!!!!!!!!!

[lime nexus]

idk if shes nice or not

shes middle aged

[lime nexus]

oh my

goodluck to u

[split fulcrum]

thanks 😭

do u do physics

[lime nexus]

maybe

do u?

[split fulcrum]

yep

[lime nexus]

um

do not ask me to help u with phsyics

[split fulcrum]

oh im not

[lime nexus]

unless its vectors or projectile

[split fulcrum]

i was just curious

lol

[lime nexus]

the thing is

i dont do physics

but im going to do year 11 and 12 physics concurrently

ahahahahah

fun

[split fulcrum]

wait how does that work

so u do physics as a subject or u dont>

[lime nexus]

yk how im in accel right

so im in y11 for the rest of my subjects

[split fulcrum]

ye

[lime nexus]

i didint pick physics to do in year11

and

i hate my subejjcts rn

and i appealed and im able to pick up phhiscs now, but i have to sit in both a year 11 and 12 class for phsyocs

[split fulcrum]

ohhh i see

well good luck

i hate mod 6

[lime nexus]

economis my opp

[lime nexus]

i got a very great feeling i will hate it too

but not more than ECONOMCIS

i looked a bit into mod6

magnetic flux

torque

faradays law

idk what they r

but yeah

[split fulcrum]

oh you will

trust me

🤣

[lime nexus]

u do eco too???

[split fulcrum]

no no

but like

[lime nexus]

ahh

[split fulcrum]

module 6 is the worst thing ever

[lime nexus]

oh...

ermm

dont know abt that

well see

[split fulcrum]

do u do adv eng

[lime nexus]

i rlly rlly

dont like eco

[lime nexus]

mhm

the crazy part is that i odnt even find eco that bad but the teachers r what makes it like rlly rlly bad

its bad when prelim avg for btoh class was udner 50%

[split fulcrum]

ahh i see

similar situation with physics

my teacher is horrid

yk for the whole year

[lime nexus]

oh no

[split fulcrum]

i just didnt pay attention to her class

and became my own teacher

and studied at home and outside of school

[lime nexus]

hey thats me with all my subjejcts

[split fulcrum]

our class average for trials was 51

[lime nexus]

oh no

ITS OKAY

U GOT THIS

[split fulcrum]

i managed to get 70

[lime nexus]

phsyis aint until nov

u got tim

[split fulcrum]

ye ye

[lime nexus]

sheesh

top 10?

[split fulcrum]

rank 4

[lime nexus]

thats even better

[split fulcrum]

ya i reallyt need that band 6 lmaooo

[lime nexus]

U WILL GET IT

wanna tutor me in physics 💀

[split fulcrum]

i have a friend who state ranked physics last year so i go to him for any physics questions 🤣 hes a way better teacher than my actual one

[lime nexus]

i think with rank 4 it should be easier to band 6

[lime nexus]

dayummm

state ranks crazy

[split fulcrum]

if i get a band 6 💀

[lime nexus]

believe

[split fulcrum]

lmao ye hes currently studying physics in uni rn too

[lime nexus]

u from james ruse or sum 💀

[split fulcrum]

yeahbut the thing is our school only got like 2 band 6's in physics last year

[lime nexus]

wiat no

[split fulcrum]

which is scary

[lime nexus]

if ur teacher sucks

then

[split fulcrum]

no 😭

[lime nexus]

prob not

[lime nexus]

o h

MAYBE UR COHORT WILL BE TOP 4 BAND 6

[split fulcrum]

😭

[lime nexus]

beleiveee

[split fulcrum]

fr

trust in the process

[lime nexus]

yesyes

trust the process

[split fulcrum]

our school is rlly only good at english advanced

[lime nexus]

itll all turn out well

[split fulcrum]

i lovve english tho

i had fun in advanced

[lime nexus]

i think my school just dpeends on the year

i think in terms of actually teachers englsh and va

[lime nexus]

agree to disagree

englsih is my biggest opp

more opp than eco

[lime nexus]

i disagree

[split fulcrum]

theres always a common pattern with people who are really good at math they tend to really dislike english for some reason 😭

and vice versa

[lime nexus]

yeahh

sounds like ur the love englsih not math

im opposite lol

[split fulcrum]

if i was as good at math as english id be doing ext 🤣

[lime nexus]

u do ext eng?

[lime nexus]

i mean if u do physis itll help with ext1 a bit ig

[split fulcrum]

na but i was offered a place to do extension in yr 11 but i declined

[lime nexus]

ahhh

[split fulcrum]

in hindsight i probably shouldve chosen but its whatever now

[lime nexus]

it is what it is

[split fulcrum]

yepyep

[lime nexus]

altho im the problem lol

[split fulcrum]

😭

do u have a good eng teacher

[lime nexus]

yes...

i just hate the subjejct

teehee

if only it wasnt mandatory

[split fulcrum]

ah i c

[lime nexus]

its 1:30 prob should go sleep soon

u should too

[split fulcrum]

ye true

[lime nexus]

yk hwo to get better in maths

have a good sleep

[split fulcrum]

wake up early tomorrow for some maths and history

[lime nexus]

it actually affects too

good sleep can avoid

[split fulcrum]

wake up early this morning technically

[lime nexus]

silly mistakes

and not skip

[split fulcrum]

yess

[lime nexus]

acidentaly proving

when ur not suppose to prove

[split fulcrum]

i wanna get 8 hrs for the math test

[lime nexus]

yeaeyeyeye

[split fulcrum]

ive never done an exam with more than 6 hours of sleep

fr fr

[lime nexus]

me too

[lime nexus]

fair enouh

[lime nexus]

u should

[split fulcrum]

BUT

its different this time

its the hsc

raaaaaaah

[lime nexus]

yesyes

must get suffiecent sleep

[split fulcrum]

yeas

[lime nexus]

we should sleep now

[split fulcrum]

ye ye

[lime nexus]

gooddlcuk for math ancenint anf phsycis!!

u got thiss

[split fulcrum]

thank u sm for the help

[lime nexus]

dont forget the stuff i told u for math

[lime nexus]

npp

[split fulcrum]

ill remember the deer question tomorrow when i see that financial maths q cuz i know theres gonna be one

😭

think deer not money

[lime nexus]

YEAHH LMAO

deer

yes

deer

[split fulcrum]

🦌

okayyyy gooodnighttt ill see you later today maybe in the help channels 🤣

[lime nexus]

LMAO OKAY

maybe

idk if i’ll help today tho

got tutor

[split fulcrum]

all good

[lime nexus]

prob should study myself too

[split fulcrum]

yep yep

[lime nexus]

i’ve been procrastinating on doing past papers with helping other ppl instead 💀💀

[split fulcrum]

LMAO

dont worry ur kindness will come back and pay off maybe

maybe

[lime nexus]

hopefully

im gaslighting myself in saying

if i can help other ppl th

that means i understand the content well enough

[split fulcrum]

they say teaching is the best method of learning

yes

[lime nexus]

to hopefully avoid less past papers

[lime nexus]

true!

maybe

ok gonna get off now

[split fulcrum]

if ur past papers include a lot of deer questions even better

[lime nexus]

goodluck!

[split fulcrum]

ye same

[lime nexus]

AHAHSHHAAHA

[split fulcrum]

thank u, u too!

gn gn

[lime nexus]

nwww

tyty

gnn

[split fulcrum]

.close

[safe radish]

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[safe radish]

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• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
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[spice narwhal]

So, I had similar problems before, but they were as far as x^3 for which I subtracted and added 1, and I used the x^3-1 formula or x^3+1 formula depending on the denominator

[split moss]

Hi

[spice narwhal]

Hello Baby Einstein

[ocean crypt]

Let me see

[split moss]

What do I have to solve?

[spice narwhal]

Just calculating the difference of these 2 integrals

[split moss]

Ah ok

What's the problem?

[spice narwhal]

The algebra here outmatches my intuition, as I said, I had two problems for which the formulas we know (as for example x^2-1 or x^3-1) were used

For sure there is a formula for x^2017-1 or x^2018-1 but it's counterproductive to write out thousands of terms and integrate the same terms again

Maybe writing out the formulas for each, integrate and then cancel out the twins?

[plucky elk]

Combine the two integrals into one integral and factor the numerator

[spice narwhal]

Oh? I can do that?

One sec

[plucky elk]

Yea sum of indefinite integrals is the integral of the sum

[spice narwhal]

Should be -x^2018 / 2018 + c then

[hidden gyro]

yep

[spice narwhal]

Perfect! One thing to know

Thanks for the help, have a good day you all

.close

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• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
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• Be polite and have a nice day!

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[polar dove]

Can someone just explain this to me like im 5

like we just remove two of the x's?

[plucky elk]

x/x = 1

Not "remove" but more like cancel

Because any number divided by itself is 1

[polar dove]

yeah like I get that u can cancel the x's out but what does it have to do with x not being 0

like this spart

[plucky elk]

x/x is only 1 when x is not 0

When x is not 0, x/x is undefined

Because any dividing by 0 is undefined

[polar dove]

allright man

thank god this is my last year of maths

.close

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[past birch]

this is a box and whisker for diameters of pipes made by companies A and B

[past birch]

can i say one comparison between the diameters is : pipes made by company B have greater diameters than companyA

[icy lance]

too vague

[past birch]

what can i say?

im new to this

sorry

[lean otter]

..

[icy lance]

i imagine youre trying to say, Company B offers pipes of larger diameter than A does
its not quite the same, as you were just describing general pipes (which implies all of them) are wider, while im saying they just have wider pipes available

[past birch]

i can say that?

the range of the diameters

company B offers wider

and narrower

[icy lance]

you can say that
or you can just say company B produced a wider range of diameters for pipes

as a general statement

[past birch]

ah i see

tysm

[queen skiff]

No problem

[safe radish]

@past birch Has your question been resolved?

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[cosmic cairn]

hello, given n! > b^n , b element of N i should proove via induction as well as via prime factorisation that for b = 7, 18! > 7^18 how to do that? (exercise in german, i hope it is still clear what is asked)

[safe radish]

@cosmic cairn Has your question been resolved?

[true horizon]

is n fixed?

surely this will not hold for all n (such as n = 1)

[cosmic cairn]

so b is fixed and the induction needs to be proofen for n -> n+1

but n0 > b

and yes for n0 = 1 this doesnt hold

so if i choose n0 = 1 there is no b so that 1 > b

[lone arch]

Are you asking about part a) or b)?

[cosmic cairn]

so my question is refering especially to the part in b) where one should proofe 18! > 7^18 for the induction start/assumption for b = 7 via prime factorization

i have a different approach, where i could more or less estimate the result is correct (i also confirmed via wolfram alpha, that it is in fact correct)

i just dont see how to do it with prime factorization...

[safe radish]

@cosmic cairn Has your question been resolved?

[safe radish]

@cosmic cairn Has your question been resolved?

[safe radish]

@cosmic cairn Has your question been resolved?

[safe radish]

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• Be polite and have a nice day!

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[sharp lotus]

i know this is a bit basic but i cant exactly figure it out: suppose BC is a chord of circle A, and that chord EF is perpendicular to BC at D. how do you show precisely that ED is maximized when EF is a diameter?

[sharp lotus]

no one answered this yesterday so i want to post this again

<@&286206848099549185>

[pure agate]

What type of class is this for?

[sharp lotus]

it’s just needed for a small part of a contest problem I did in my math team. (the contest was already finished)

I’m just trying to see why it makes sense for sure

even though intuitively I can definitely see

[pure agate]

Offhand, I would say it's a matter of showing that ED is shorter than HJ in this image for whenver EF is not on the diameter.

[safe radish]

@sharp lotus Has your question been resolved?

[pure agate]

You should be able to prove that x is less than r if the angle is greater than 0 degrees.

[safe radish]

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• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[charred gale]

Hi all, anyone have advice for this?

[sharp lotus]

isn’t drawing that perpendicular and creating that setup already sort of assuming the fact?

[safe radish]

@charred gale Has your question been resolved?

[charred gale]

<@&286206848099549185> I think I got another point but im not sure if this observation really helps:

• S must have at least |W| black squares since it has an equal amount of black and white squares.

I think the tricky part is saying that of these black squares, they are really adjacent to the white squares. Maybe it follows by two coloring but I feel I cant make a rigorous argument

[indigo bay]

do we get to use the obvious fact about a checkerboard?

[pure agate]

Which perpendicular line? Your question specifically said that chord EF is perpendicular to BC at D.

[charred gale]

wdym obvious fact?

do you mean how its layed out like

B W B W
W B W B
..............? Because i would guess so

[indigo bay]

yeah

[charred gale]

i represented it as a graph with horizontal and vertical edges

[sharp lotus]

from E to K that it lies in the circle like that? or nah?

r u making any assumptions in that or nah

but then yeah that works

[pure agate]

No. Wherever E lies on the circle, there is a corresponding point on a diameter line. I just happen to orient the diameter line so that it is horizontal.

[sharp lotus]

this is kinda stupid but what if i thought the perpendicular was past H then it wouldnt exactly work? if u wanted to be very picky? maybe im overcomplicating things

[pure agate]

You're overthinking this. You can presume the diameter line HI is parallel with EF because that question states that ED is maximized when EF is a diameter line. The naming of HI is arbitrary. I could have named the endpoints as E' and F'.

[indigo bay]

@charred gale pls make a new channel

[safe radish]

@charred gale Has your question been resolved?

[charred gale]

Ok

[safe radish]

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[wary citrus]

I don't understand how this is infinite possibilities... 😦

[wary citrus]

should be pretty easy

[indigo bay]

bc z can be anything

[wary citrus]

how come

0=0 no?

[median vigil]

can you write out that augmented matrix as a system of linear equations?

[wary citrus]

yea

x=3

y=-4

0z=0?

[rich elm]

u practically wrote out the solution

[median vigil]

so you have 0*z = 0. what values of z satisfy that equation?

[wary citrus]

infinite

ahhhh

wait i have another one dont move

[rich elm]

bro got us frozen

[wary citrus]

what about this one

[median vigil]

well a solution is in the form (x,y,z). you have written out the form that y and z can take, but what about x?

[wary citrus]

idk about x

[rich elm]

would u agree x = x

it sounds stupid

but

[wary citrus]

i wouldn't understand x = x

[median vigil]

maybe let's write it out in full then:
0x + 1y + 0z = -8
0x + 0y + 1z = 9

[wary citrus]

sure

wait let's make this simpler

how about every time there's a row of 0 it means that it's infinite?

except if last collum is 0=other than 0

[median vigil]

that's not necessarily true, though:
1x + 0y + 0z = 1
0x + 1y + 0z = 1
0x + 0y + 1z = 1
0x + 0y + 0z = 0
only has 1 solution, despite having a row of 0s

[wary citrus]

i mean a collumn of 0

sorry i mix them up

[median vigil]

if you have a column of 0s (which is not the augmented column), then that variable can be anything, yes

[wary citrus]

so infinite?

[wary citrus]

yep

ty man that'll help me

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[full quarry]

Can anyone verify these are correct?

[plucky elk]

You're more likely to get a response if you just upload one at a time

[safe radish]

@full quarry Has your question been resolved?

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[trim fog]

does anyone have any ideas about making a summation or generating function similar to the binomial formula to create a polynomial from repeatedly inputting a polynomial into itself n number of times, like what is pictured

[trim fog]

although i also want to do it for (x^2+x)

[tardy mango]

This is asking about the recursion $$f_n (x)=(f_{n-1} (x))^2+1$$ with $f_1=x^2+1$

[flat frigate]

Civil Service Pigeon

[trim fog]

yessir

[tardy mango]

Given that $a_{n+1}=a_n ^2+c$ only has known closed forms for $c=-2, 0$, I doubt you’re going to be able to find a closed form

[flat frigate]

Civil Service Pigeon

[trim fog]

figures

[safe radish]

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[lavish rivet]

Can someone please help me solve 5a/3+1/2=8

[safe radish]

What step are you on?
1. I don't know where to begin.
2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above

[lavish rivet]

3

[acoustic kestrel]

what is the answer you got?

[lavish rivet]

I got a=4.5 but the sheet says x=14

wait

lemme check its the right thing first

because a x answer doesnt make sense

Nevermind!

it was q 11 and I was right

nvm, thanks!

Have a great day/night!

At least I wasnt wrong 😭

[acoustic kestrel]

u 2 😭 😭

[lavish rivet]

Gosh I hate answer sheets

Its crowded with 1000's of answers

.close

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[lavish rivet]

.reopen

[safe radish]

✅

[lavish rivet]

could someone please help me with Q12? I cant land the correct answer

its 5x/2-3=7/2

ans says x=2.6

[vagrant ice]

5x/2 = 7/2 + 6/2 = 13/2

yeah x = 13/5 = 2.6

that's correct

[lavish rivet]

Yep, I just cant figure how to get that

[vagrant ice]

do you understand this step at least?

[lavish rivet]

Im not sure why you did the 6/2 part

[vagrant ice]

we add 3 to both sides, so that we have 5x/2 - 3 + 3 on the left

on the right we have 7/2 + 3

to simplify that we can do 7/2 + 6/2, write 3 as 6/2

[lavish rivet]

So, we transpose it?

[vagrant ice]

what do you mean by transpose?

[lavish rivet]

put like terms on each others sides