Melody

Yes, EP means 222, and you mean 'thanks'  :)

250-25+1=226 numbers in total

25^(1/3) = 2.924017738212866

250^(1/3) = 6.299605249474365

so only 3cubed, 4 cubed, 5 cubed and 6 cubed will be perfect cubes.   There is 4 of them

You can finish it.  

sub the x value in and the value you get will be the remainder. 

Eric,

I like your enthusiasm but please do not override other people's answers when you have nothing of value to add.

Adding a final answer to a trivial calculation is definitely not valuable. It only allows the asker to do nothing at all.

If an answerer puts up a half done answer it is usually because we want the asker to learn and not just copy.

If you believe what is done is incorrect then by all means add your own answer.

But

Do not override teaching answers.

This site will help you.

Like this:

\(a_1=7\\~\\ a_2=3*a_{(2-1)}-6\\ a_2=3*a_{1}-6\\ a_2=3*7-6\\ a_2=21-6\\ a_2=15\\~\\ a_3=3*a_{(3-1)}-6\\ etc \)

answered.

I am not sure but this is my best guess.

Forget about Henry, there are 11 people which are to be divided into groups of 3,3, and 5

There are 11C5 ways to choose the group of 5

Now there are 6C3 ways to choose a group of 3 BUT this is double counting, I need to divide by 2

so I have    11C5 * (6C3 /2)

Now there are 2 options for where to put Henry.

so I now have    11C5 * (6C3 /2) * 2 = 462*20/2*2 = 9240 option.

The equation of a sidways parabola is

\((y-k)^2=4a(x-h)\qquad \text{where the vertex is (h,k)}\)

Sub in h,k

then sub in the point on the parabola, to solve for a

You try now.