All Answers 358108 Answers

You are always welcome Hayley :)

I think I speak for all when I say that we love having you as an integral part of our forum community.

We hope you stay with us for a long, long time    

Oh whispered [ It is 315 not 415]

It will increase by the \(\sqrt{6}\)  that is about 2.5 seconds on the moon.

Sat 9/1/16

These are continued from yesterday:

They have been added to:

2)  A rediculously tricky question and a bit of play :)  

    A guest and CPhill have added to this one from yesterday and it does look interestig :)

    http://web2.0calc.com/questions/something-about-functions-or-something

11)   Number theory ? I am not sure what to call it.  Thanks Alan, Heureka and Bertie.  

 ♪ ♫      Melody    ♪ ♫      

Lantern Thread:                          

Thanks very much Heureka,

So   !n   is called the derangement of n ?    :)

--------------------

Yes Mis Smartypants Coldplay I could just Google it.     X)

I google a great many things for people on here.

Sometimes it is easier, as well as nicer just to ask.

If i have a question then it is likely that other people have the same question.   :)

Once again, thanks very much Heureka :)

hey

do not worry i know what is now

it is 27

@@ What is Happening?  [Wrap4]   Fri 8/1/16   Sydney,  Australia Time 11:45 pm   ♪ ♫

Welcome to Friday, well it is Friday for all of you but for me it is very nearly Saturday....  If you are in New Zealand it is already Saturday ://

All the US students are back to school so the forum is back to really busy.  Hence, we have had an abundance of great questons and answers.  Answer credits are awarded to CPhill, Alan, Heureka, Bertie, Hayley1, Omi67, InjustaGod, Happy7, Solveit, Coldplay, Immar, xvxvxv (He is 315), gibsonj338, KatieLeigh and jc.  Thanks, we would have not forum if it ws not for great people like you :)

Technical Issues:

How can you post a picture when the picture upload on the forum is not working properly ?

Thanks very much Alan for these instructions.

3732882191373

hey

it is 69

Good Morning

the answer is 5

Thanks Heureka, Alan and Bertie,

You are all terrific.        

I will send a message to aditya to make sure she sees your answers :)

Dragonlance is crude but he is also correct :/

ColdPlay your friend is doing a joke on you asking you that question. This is a dumb joke I hear in school a lot. You do the equation and it equal 69. Most everyone know what the 69 mean.

Here is a big fancy equation I give.

X= ((((2^3*3^2*5) + sqrt((2^3*5^4*3) - (2^3×3×5^2))) / 4! ) * 4 ) - ln(59874.1417151978184556))

Some do it and tell me it not quite equal to 69.  I say that mean I not want to go all the way. Hahaha

Injustagod your equation do not equal 69 it equal  -13/34. So that mean you get it hard and fast and up the middle. hahahaha

Yes I am not sure either.  Maybe 7:30.

The question is not clear.

Hi Coldploay,

You already have an equation.

It is an equation because it has someting on the left = something on the right.

Only problem with it is that the fraction line is back to front   :)

f= 23*9\3

so we have

f = 23*9/3 =

 \(RHS=23\frac{9}{3}=\frac{23}{1}*\frac{9}{3}=\frac{23*9}{3}=23*3=69 \)

so

f = 69

That is a terrific answer thanks gibsonj338   

In combinatorial mathematics, a derangement is a permutation of the elements of a set, such that no element appears in its original position.

The number of derangements of a set of size n, usually written Dn, dn, or !n, is called the "derangement number" or "de Montmort number". (These numbers are generalized to rencontres numbers.) The subfactorial function (not to be confused with the factorial n!) maps n to !n.

No standard notation for subfactorials is agreed upon; n¡ is sometimes used instead of !n.

Hey Melody,

         Can't you google it?

I am not sure what you mean calc1   

what is 4x + 4 units and x2 + x + 1 units2

Perhaps you want the volume of a prism  with  a base of (x^2 + x + 1) units^2  and a height of  4x+4?

It will be

(x^2 + x + 1) ( 4x+4) units^3

Thanks Heureka, I do not remember seeing that notation before.

Could someone please fill me in on what this notation is called and what main branch of mathematics would use it ://

I mean it would still be combinatory maths like n! is would it?

Simplify the expression. Write the answer in scientific notation. left parenthesis 9 times 10 Superscript negative 4 right parenthesis left parenthesis 6 times 10 Superscript negative 5 right parenthesis(9×10−4)(6×10−5)

\(\begin{array}{rcl} (9\cdot 10^{-4}) \cdot (6\cdot 10^{-5}) &=& 9\cdot 10^{-4} \cdot 6\cdot 10^{-5}\\ &=& 9\cdot 6\cdot 10^{-4} \cdot 10^{-5} \\ &=& 9\cdot 6\cdot 10^{-4+(-5)} \\ &=& 9\cdot 6\cdot 10^{-9} \\ &=& 54\cdot 10^{-9} \\ &=& 5.4\cdot 10\cdot 10^{-9} \\ &=& 5.4\cdot 10^1\cdot 10^{-9} \\ &=& 5.4\cdot 10^{1-9} \\ &=& 5.4\cdot 10^{-8} \\ \end{array}\)

Hi Gibsonj335,

Find all sixth roots of (-64)

the first one is 2i     this has no real part so it is on the imaginary axis.   it is    \(2e^{i\pi/2}\)

the difference in the angles (arguments) is going to be  2pi/6 

the angles will be

So the first angle is pi/2 which equals  3pi/6

the angles (arguments)  will be

 \( \frac{3\pi}{6},\quad \frac{3\pi+2\pi}{6},\quad \frac{3\pi+4\pi}{6},\quad \frac{3\pi+6\pi}{6},\quad \frac{3\pi+8\pi}{6},\quad \frac{3\pi+10\pi}{6}\\~\\ \frac{3\pi}{6},\quad \frac{5\pi}{6},\quad \frac{7\pi}{6},\quad \frac{9\pi}{6},\quad \frac{11\pi}{6},\quad \frac{13\pi}{6}\\~\\ \mbox{so the 6 roots will be:}\\~\\ 2e^{\frac{3\pi i}{6}},\quad 2e^{\frac{5\pi i}{6}},\quad 2e^{\frac{7\pi i}{6}},\quad2e^{ \frac{9\pi i}{6}},\quad 2e^{\frac{11\pi i}{6}},\quad 2e^{\frac{13\pi i}{6}}\\~\\ \)

I wasn't sure of the working so I used this for a reference:

Well, it has to be 1 I understand...