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:D Thanks!

4 of the cubes will have 3 sides painted  =  12 sides

20 of the cubes will have 2 sides painted  =  40 sides

28 of the cubes will have 1 side painted  =  28 sides

Total number of sides painted  =  80 sides

Total number of sides  =  6 x 64  =  384 sides

Pobability that the face showing is painted  =  80 / 384  =  4/19

1) f(c) = -1 for 2 values of x.

2) The possible values of j are -13 and 7.

Wouldn't it be the smallest positive integer N that you are looking for?

K i will delete it

2,3,5,5  ⇒ 13

5  [ 3 - 2/5]  =

5*3  - 5 (2/5)  =

15  - 2  = 

13

Plagiarism is a serious offense.

You must not ever take someone else's work and present it as your own.

You can give a link to a site if you wish. Or at the very least state clearly where your answers come from.

Can't you just use a calculator?

N = 66 in base 10.  If you convert it to base 8 =102 and 102! ends in 21 zeros.

The answer is 6/23

Ellen can choose 1*2*3= 6 tiles that are different from steve.

There is a total of 23 different tiles because Steve already took one and 24-1=23. 

so it is 6/23

Sorry..... I gave answer for a POINT that is one unit from the origin on a line with slope = 4  

Ok\( (a +(2n+1)d)^2- (a + (2n)d)^2 +(a + (2n-1)d)^2 - (a+(2n-2)d)^2 + \cdots + (a+d)^2 - a^2.\)

wow! nice job CPhill!!! :)

Great explanation CentLord!

ummm it still looks weird... you should use the LaTeX button on the toolbar on the top! :)

sorry, this problem looks super hard :( my small brain can't handle this haha 

You said that they can't be composite but you didn't say that they couldn't be negative:

[By definition, zero is neither prime nor composite.]

My suggestion:

     -2      7    -5

     -3      0     3

      5     -7     2

This has a sum of zero.

I really appreciate it by the way!

oh wow, yayyyyy! you're welcome LuckyDucky :)

Your right tysm!

THX, guys!!!

A "Best Answer "

oops I just edited it, is it right now?

Sorry its wrong..

The coefficient  will  be found as

C(8,3) * (2)^(8 - 3) *(-3)^(3)  = C(8,3) * (2)^5 * (-3)^3  =    -48384