All Answers 358090 Answers

You're welcome!

Thanks a lot Alan, cant thumbs up enough =)

Here f(x-at) = e^{-(x-t)^2} and g(s) = -2s*e^{-s^2} so:

I'll leave you to sketch the solutions.

(Note: for f use u(x,0), and for g use u_t(x,0)) 

Yes, very good MG, but I am wondering if you can explain why this is so?

2/3x+1/3=1/3x+2/3

2/3x+1/3-1/3=1/3x+2/3-1/3

2/3x+1/3-1/3-1/3x=1/3x+2/3-1/3-1/3x

1/3x=1/3

(1/3x)*3x*3=1/3*3x*3

3x=3

x=1

Great answer isiber17 :)

That is one BIG rock  LOL

hi Kimlee  

The question is meaningless.

41.024382993532i

This might help too

http://web2.0calc.com/questions/indices-especially-negative-indices

Everymornin17,

You can use the calc right here on the forum!

When you are making a post there is a button in the ribbon [=calculation...]  

you can use that - it is really handy :)

thanks Everymornin17,

but       27/100 = 0.27    you do however have the right idea with the n

Thanks Chris,

but   $$\frac{43n}{198n}$$   where n is any real non zero number would also work

a=43n and b=198n      

a+b=(43+198)n = 241n       $$n\ne0$$

if a and b do not have to be integers then this can equal any real number except for 0

that is what I think anyway.    

the value of pie is either 22/7 or 3.14 

Maybe this will help

The fraction calc is not working at present BUT

you can just enter it as    (4+1/2)-(2+3/5)

$$\left({\mathtt{4}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{2}}}}\right){\mathtt{\,-\,}}\left({\mathtt{2}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{3}}}{{\mathtt{5}}}}\right) = {\frac{{\mathtt{19}}}{{\mathtt{10}}}} = {\mathtt{1.9}}$$

Confusion with formulas

How many ways are there to distribute 12 unlabeled b***s into 9 labeled boxes in such a way that each box receives at least one ball? 

(12+9-1)C12

$${\left({\frac{{\mathtt{20}}{!}}{{\mathtt{12}}{!}{\mathtt{\,\times\,}}({\mathtt{20}}{\mathtt{\,-\,}}{\mathtt{12}}){!}}}\right)} = {\mathtt{125\,970}}$$

Mmm that is not right      

ok

(12-1)C(9-1)      this was the formula Nauseated used and I have seen it before but I am confused

When do you use this formula     (n-1)C(k-1)

and when do you use    (n+k-1)C(n)                                       

I am cleaning up and filing away old posts and I came across this one.  I thought I would put it here. 

I don't know Mellie, but

If there are 8 strawberry candies and each child gets at least one of them then that is (8+4-1)C8 = 11C8 = 165 ways

If there are 7 pineabpple candies and each child gets at least one of them then that is (7+4-1)C7 = 10C7=120 

So if every child gets at least on of each then that would be   11C8*10C7 = 165*120 = 19800 ways

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

NOW what about if one or more children get no pinapple lollies or no strawberry lollies or no lollies at all :/

If there are 8 strawberry candies and each child gets at least one of them then that is (8+4-1)C8 = 11C8 = 165 ways

If one child gets 0 strawbs then this can be done in (8+3-1)C8 = 10C8=45  ways

If two children gets 0 strawbs then this can be done in (8+2-1)C8 = 9C8=9 ways

If three children get 0 strawbs then this can be done in  (8+1-1)C8=1 way (which makes sense because one child is getting all the strawb lollies.

So the number of ways that the strawberry lollies can be distributed is  165+45+9+1 = 220 ways

##

If there are 7 pineapple candies and each child gets at least one of them then that is (7+4-1)C7 = 10C7=120 

If one child gets 0 pineapple candies then this can be done in (7+3-1)C7 = 9C7= 36 ways

If two children gets 0 pineapple candies then this can be done in (7+2-1)C7 = 8C7=8 ways

If three children get 0 pineapple candies then this can be done in 1 way 

So the number of ways that the pineapple candies can be distributed is  120+36+8+1 = 165 ways

##

so the number of ways the lollies can be distributed is   220*165=36,300 ways  

(some children might get none)

Assuming the given number is in radians then multiply by 180/pi to turn it into degrees.

$${\frac{{\mathtt{0.488}}{\mathtt{\,\times\,}}{\mathtt{180}}}{{\mathtt{\pi}}}} = {\mathtt{27.960\: \!340\: \!402\: \!384\: \!172\: \!6}}$$

or 28° to the nearest degree

.

Well, Melody, you have been working very hard for the past year and a half. Maybe you need to unwind a little. :)

36/12=3 (=1/12)

5*3=15  (=5*1/12 (3))

I have added this one to the "great answers to learn from" sticky thread     

(under puzzles)

Thanks Alan.

That was a great question.   It would have been better if I knew the clock was rewound before the man left but I guess the question did not say that it was not rewound :)   I am not very good at thinking between the lines  :))

Well done Melody!  You got it so you don't need to worry about my generalisation!

woooowww, so easy - lol,

thanks a lot man!!