Mathematics Marathon HSC 09 (5 Viewers)

[smelnizzle]

P(bullseye)=0.8P(atleast one bullseye) = 1-P(no bullseye)therefore 1-(0.2)^n=0.999(0.2)^n=(1-0.999)n=ln(1-0.999)/ln(0.2) Don't have calculator within arms reach lol
Edit: have no idea why its all appearing in one line

thanks for replying.
i dont know if it was the matter of it appearing on one line.. but i didnt get what you did. but my friend showed me

if u get it 99.9 % of the time
that means u miss 0.1% of the time

(0.2)^n < 0.001
ln (0.2)^n < ln(0.001)
then nln(0.2) < ln 0.001
then n < 4.2

quite simple! my bad

 

[taggs-sasuke]

How is sin2@ = 2tan@ / 1 - tan^2 (@)?

 

[Thecorey0]

this may not explicitly be 2 unit work, but it uses 2 unit concepts

 

[taggs-sasuke]

Find the domain of f(x)=x(inverse sinx).

 

[anom1ly]

Find the domain of f(x)=x(inverse sinx).

f(x) = x(inverse sinx) = x/sinx in order for function to be true, sinx =/= 0 .'. d = all x such that x =/= 0, 180, 360 etc correct me if i'm wrong please, i have a feeling i am

 

[addikaye03]

How is sin2@ = 2tan@ / 1 - tan^2 (@)?

It should be "1+tan^2@" on the numeratorthen 2tan@/sec^2@2(sin@/cos@).cos^2@2sin@cos@=sin2@

 

[taggs-sasuke]

f(x) = x(inverse sinx) = x/sinx in order for function to be true, sinx =/= 0 .'. d = all x such that x =/= 0, 180, 360 etc correct me if i'm wrong please, i have a feeling i am

The answer is -1 is less than or equal to x is less than or equal to 1.

 

[anom1ly]

The answer is -1 is less than or equal to x is less than or equal to 1.

i dunno how that works out :S is that a past hsc question? i might have the working out for it

 

[taggs-sasuke]

No, it isn't. Apparently the domain is supposed to be determined by the sinx. But don't worry about it, anom1ly!

 

[addikaye03]

Have a look at the y=xarcsin(x) graph, it will help you understand the domain and range.

 

[lavael]

I have a question its from HSC 2004

We know that 2^10 =1024, so that 2^10 can be represented by a 4 digit numeral. How many digits are there in 2^1000 when written as a numeral

can anyone answers this ?
thx

 

[fuller45]

Here's my question:

The diagram illustrates the design for part of a roller-coaster track. The section...

just kidding!
​

 

[random-1005]

Here's my question:​

The diagram illustrates the design for part of a roller-coaster track. The section...​

just kidding!​

HAHHAHHAHAHAHAHAHA, mad cunt

 

[cutemouse]

I have a question its from HSC 2004

It's actually from the 2001 HSC for 2U mathematics. There was a first part aswell (lead in). You've just posted the 2nd part.

We know that 2^10 =1024, so that 2^10 can be represented by a 4 digit numeral. How many digits are there in 2^1000 when written as a numeral

can anyone answers this ?

 

[untouchablecuz]

I have a question its from HSC 2004

We know that 2^10 =1024, so that 2^10 can be represented by a 4 digit numeral. How many digits are there in 2^1000 when written as a numeral

can anyone answers this ?
thx

another way to think about it:

2¹⁰=10^{log₁₀21000}=10^{1000log₁₀2}~10³⁰¹ which has 302 digits