Melody

Question:  how do i get to sin^-1

If you mean on the web2.0 calc then ...

Press 2nd and then press asin

asin stands for arc sine which is the same as inverse sine.

Make sure you have it set to degrees or to radians.  There is a toggle button on the bottom of the calc. :)

You are supposed to thank and interact with answerers. That would be polite.

It would make the answerers stop feeling like they are talking to air and it would help you to learn.

As you are aware, you have asked many of these questions recently.

What have you done. I mean how have you already tried to answer this question for yourself?

Why don't you interact with answerers?

Occasionally, not usually, you do give an answerer a point point, but I have not noticed that you ever interact with answerers.

I've not seen you say thank you (with words) or ask them questions or attempt to start an answer for yourself.

This would be totally unacceptable on any other proper mathematics forum.

\(g(x)=f(x+1)=(x+1)^7-3(x+1)^3+2\)

Now you need to expand and simplify.

Then you can add the co-efficients.

I got 106

Hi Synth,

I just thought I would point out that this is an international forum and only people in the U.S. celebrate thanksgiving.

Many of the others would not even know that you are talking about.

It is because a lot of people get through life by cheating.

Mostly it catches up with them.

If their courses are exam based in a non-internet environment then they will never pass.

It is a failing of this site however, the nature of it does support people whose only desire is to gain answers with minimal effort or understanding.

Don't take this the wrong way.

There are many other people who do learn from the 'experts' here and they are the ones that I, for one, try to give most attention to. 

I, and the other answerers, get a real buzz out of sharing our knowledge and our enthusiasm with other budding mathematicians.

I will not answer your questions unless you present them properly.

How you ask....

Copy all the stuff between the dollar signs.

Open the latex box that you can see in the ribbon.

Paste it in there and press ok.

That should do it.

I already showed ant1 where to find the algebraic solution.

Why do you want to do all the thinking for everyone Chris?

How many combinations are possible with 10 initial choices and 5 decisions to make if repetition is allowed?

Let A,B,C,D AND E   al represent different elements of the initial possible 10 sample space.

I will say up front that I do not know if this is right but this is my best guess.

AAAAA = 10  combinations

AAAAB = 10C2*2= 90  combinations           

AAABB   = 10C2*2= 90 combinations           

AAABC  = 10C3*3=  360 combinations      

AABBC   =  10C3*3 = 360 combinations

AABCD = 10C4 *4 = 820 combinations

ABCDE = 10C5 = 252  combinations

So what do I have

10+90+90+360+360+820+252 = 1982 combinations

You can get your knowledge and consequently your answer from here.