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I can't remember how to solve this problem, but I'm pretty sure the answer is 14.

120^o   x  pi /180^o = 2/3 pi Radians   

2/3 pi x 10(2)  = 20 pi /3                  [ 10(2) is the diameter]

There are 488 pairs of cards that work.

Baiiiii :D

 x -2<3x+4<13     subtract 4 from all three terms

x-6 < 3x <  9         subtract x from the t L terms

-6 < 2x       and     3x< 9    divide right by 3   and L by 2

-3 < x      and    x <3                   sooooo   

  -3 < x < 3

(I edited this because my answer got truncated off for some reason)

Here is a scan solving w/out a calculator:

Find the slope of the line, m    = rise/ run =   (y1-y2)/(x1-x2)

    then put into this equation   y = mx + b

      THEN substitute in one of your points into the equation to calculate the value of 'b'

                    then you line equation is y = mx + b

Opposite angles of two crossing lines are equal    so 135 = 81 + DC      DC = 54

     a straight line is 180      so     81 + 54 + EF = 180     EF = 45          as is BC

         CFD = 45 + 45 + 135 + 81 = ........

See answer #2 here:  https://web2.0calc.com/questions/assistance-needed

I am not sure of this answer

    if range of f is   from   y = -5 to 3

       multiplied by the range of g        the largest would be   -5 * -2 = 10

           the smallest would be 3 * -2 = -6

               so I THINK the new range would be      [-6,10]        b=10

                     please let me know if I am correct or incorrect....I need to learn too!     

Hexadecimal is just base₁₆

  find the biggest exponent of 16 that goes into 1000                 

                16²  = 256 goes in there 3 times with 232 left over      first number is 3 x x

                      now what exponent of 16 goes into 232       16   goes in there 14   with 8 left over

                                  hexadecimal numbers are 1 2 3 4 5 6 7 8 9 A B C D E F       14 corresponds to E

                                            so the second number is  'E'     3Ex

                                                   the leftover '8' goes in the last slot ....it represents 16⁰  x 8  with no leftover

                                                          so our hex equivalent of 1000 becomes    3 E 8

Since the tringles are congruent, their relavent sides are the same

   the htpotenuses are the same    soooo   13 = 4x + 1

                                                                     12 = 4x

                                                                        x = 3

now you can find 'y' too

   the bottom sides are =

       2(3) + y = 8(3) - 2y

         6 + y   = 24 - 2y

              3y = 18

                 y = 6

The 100th triangular number that is divisible by 5 is =31,375

9999²  = 9999  *  9999

     try this      9999 * 10 000      - 9999  

                       9999 0000   - 9999 

                                                = 9998 0001    with no calculator !

This a bowl shaped parabola, the 'x' value of the vertex will be  -b/2a    where    a = 2   and   b = -4

     use this value of 'x'  in the parabola equation to find the 'y' value of the vertex......

Ten families average 2 children per family

    then there are 20 children

       if two families have no children then there are EIGHT families with 20 children

           for an average    20 children/ 2 families = 2.5 children/family

The 'mean' is just the average....there are 9 numbers in your list.... add them all together then divide by 9 for the mean.

By properties of logs, 2log(a - b) = log a + log b

==> log(2(a - b)) = log(a + b)

==> 2a - 2b = a + b

==> a = 3b

==> a/b = 3

There are C(9,3) = 84 paths, but you have to subtract 2 because of the two missing segments.  That leads to 84 - 2 = 82 paths.

We need to minimize \(\sqrt{x^2 + \frac{1}{\sqrt{2}} (x^2 - 3)}\)

Taking the derivative and setting it to 0, the minimum value is sqrt(3) at x = 1.

good night u guys its 3 am rn so ig i'll long on tmrq hopefully to get some solutions  bye fr now

Wow, this is so awesome!!!! 

I don't know these people (except CPhill and Melody), but they sound awesome!

I feel you too.

For #5, I find that annoying, too. 

ikrrrrrrrrrr!!!!!!!!!!!!! i wanna post on old posts y r they even lockeddddddddddddddd