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\(\Delta \text{ When they say change in velocity, the "change" can be represented with that sign}\)

also Melody, I think this is AOPS homework for him or something. And he wants to get his homework question right.

My opinion is that its not really urget, because on AOPS, if you don't know how to solve a problem they explain to you and try to get you to learn.

BRUTE FORCE YA YEET divisors of 500, lets list them

1 and 500

2 and 250

4 and 125

5 and 100

10 and 50

20 and 25

we get 25 and 20 next, which means that its just a repeated list, so the numbers above are the positive divisors.

Lets add them now.

1+2+4+5+10+20+500+250+125+100+50+25 = 1092

Lets prime factorize 1092

1092

4 * 273

2² * 21 * 13

2² * 7 * 3 * 13

so the distinct prime divisors are 2 + 7 + 3 + 13 = 25

Thank you Melody! That explained a lot : D

Leaded you have a future of deceipt and most likely failure as well.

I suppose this can be turned around but since you are nearly an adult that is not likely to happen.

You are a self confessed cheat.

Why do you need urgent help. Are you in an exam?

Your question makes no sense.

I expect the bracket is supposed to contain    11-8 ?

Acceleration is change in velocity / time = 45/15 = 3m/s^2

I think they meant "sum" as in actually adding all the lucky numbers together. So if you took every single lucky number that exists, and added them all together, you would get "S".

I do not remember ever having confusion over this.  I think it is normally self explanatory. 

Brackets/parentheses  take precedence over everthing else.

But I would think of 6! as an individual number.  So 5*6!   would mean 5 * the factorial of 6.

\(4^{3!}=4^6\\ 4^3!=64!\)

If that doesn't help maybe you can give us specific examples that are confusing you.

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The order of operation that I still get confused with is a power of a power

like

\(3^{4 ^2}\)

Is that 3^16 or is it 81^2

There is a rule but I always forget what it is.

I mean, he sure is doing it enough times that he was able to get his post in the sticky sections.

what's the point of repeatedly posting this exact same copy pasted post?

33:11    means   11 out of (33+11)    or 11 out of 44 cars are cargo cars

11/44 x 176 = 44 cargo cars

g(f (x) ) =   2(ax+b) -5     for all x , this equals 3x+4    solve for a and b

2ax+2b - 5 = 3x+4

2ax = 3x     and   2b-5 = 4

a = 3/2       and  b = 9/2           I think you can add these together for the answer....  

Something to know before we begin:

If a dot is CLOSED, then the inequality is an EQUAL inequality (\(\geq\) or \(\leq\)).

If a dot is OPEN, then the inequality is a NON-EQUAL inequality (\(<\) or \(>\)).

A good way to remember this is that you need to write more for both CLOSED dots and EQUAL inequalities.

Now, with this info, we can begin.

\(x\leq -7\) means that x is less than or equal to 7.

Since the inequality is indicating "less than," the arrow should point to the left side.

We can eliminate B and C.

Now, with the tips at the top of this response, we can find that the inequality is an EQUAL inequality, so the dot should be closed.

Therefore, the answer is A.

For the second one, since x is between two numbers, we know that it does not go on forever. We can eliminate B and C.

Can you solve it from there?

You are very welcome!

:P

Let's assume that the letter starts with E, because that's what we're looking for.

There are four other letters, S, L, E, and P.

Since none of them are the same letter, we can simply do 4! and get 24.

NOTE:

Let's say the word was SEEEP.

Then the letters would be S, E, E, and P.

This would make 4!/2!, because we are repeating E twice.

You are very welcome!

:P

Another way:

SLEEP has 5 letters. 5! / 2! =60 permutations. Or 60 / 5 letters =12 for each letter. Since we have 2 of the same letter, then 2 x 12 = 24.

4! (Because E is repeated so we just take 1) P,E,L,S (4 letters) So they can be arranged 4!=24

24

Don't quite understand your question! Do you mean that for some values of a, b and for some values of x, y:

(a + b) / (1 + a*b) = (x + y) / 17 ????.