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Thank you  I wanted to double check with someone and your explanatation has helped with that . 

If you guessed the penny your are all correct.

pls be more descriptive when the say the centroid is...?

the equation of the solid line is y = -x+4 shaded bit is under that so it is y <= -x+4

the equation of the dashed line is y = (1/3)x shaded bit is above that so it is y > (1/3)x because it is dashed

so the answer is y <= -x+4 and y > (1/3)x

HOPE THIS HELPED!

Just replace the x with 3

\(f(3)=\frac{20}{4+3e^{-0.2*3}}\\ f(3)=\frac{20}{4+3e^{-0.6}}\\\)

20/(4+3e^-0.6) approx = 3.5420580109166572

Reflected about x axis

Shift up 3 units

can u give me the coordinates

Here you go :

https://www.desmos.com/calculator/rcoijx7vmo

\(\text{The largest 3 digit base 9 number is }9^3-1=728_d\\ \text{The largest perfect square less than this is }676_d=26_d^2\\ 676_d = 831_9\)

\(x^4-2x^3+5x^2-7x+4= (x^3+3 x^2+20 x+93)(x-5) + 469\)

\(f(5) = 469\)

That is what I thought the answer was, but the problem was messed up! THANK YOU ELECTRIC PAVLOV!

\(3a+2 = 2b+3,~a,b \in \mathbb{N}, a,b > 3\\ 3a=2b+1\\ 2b+1 \text{ is odd, so }a \text{ must be odd}\\ a=5,b=7 \text{ will be the smallest valid values of }a,b\\ a+b = 12\)

Wait, which one, A) or D)

D) is the answer!

Yes - you did. 

And

"That is what I thought!"  is not 'thank you.'

Thanks

I thank him for that!

And I did like it! Someone else disliked it apparently!

Well that is operation order! I need no help with that 'PEMDAS'

Hey Freddie,

What happened to

"If you can tell me what I did wrong, I will like all your stuff for a week!"

I do not see any 'likes' on EP'S answer, and he was directly helping you!

This must be given to you by your teacher as an exercise in learning how to use a "spreadsheet" or how to write a computer code(if you are studying coding) to see if you can do it! At least, that is what I think! The number of primes between 1 and 1,000,000 can be esily obtained from numerous sources on the Internet and elsewhere. However, summing them all up is quite a different matter altogether!.

If you have any experience in coding, in any programming language, this is a trivial matter! Since I have some experience in coding in a couple of languages, this is a very simple project which takes a couple of minute to write, and a couple of milliseconds to run. As a result, here are the numbers you are looking for:

Number of primes between 1 and 1,000,000 = 78,498. And their total sum =37,550,402,023.

Good luck!.

1/2 volunteer      15 do not     so there is 30 students in class  12 are boys then 18 are girls.

18! Trick question!

That is what I thought!

Have a play with this graph and see if you can work it out.