SpawnofAngel

Thanks mom

So the car starts on the circumference? Good

So find the circumference first, we needa use that to determine how far along the thing he went.

21.5*2pi = 135.0884841043611093

I'm not gonna round till the end

12 rounds per minute, and a 6 second ride.

The ride makes a round every 5 seconds, so we needa add one round plus 1/5th a round to get

135.088 + 135.088(1/5) = 162.10618092523333116  -   I shortened the equations after the calculation, so it wouldn't take up so much space. The calculations are completely accurate

So, he rode around for 162.10618092523333116 feet

Nevermind, I'm stupid. Just take 1/5th the round and then move him that far along the circumference to find the coordinates.

135.0884841043611093(1/5) = 27.01769682087222186

Now here is where I need CPhill.... I don't have any clue as to how to calculate coordinates on a circle.

An easy way of multiplying fractions is you set it up like this

5    x     3

6           4

And just multiply across and simplify

5*3 = 15

6*4 = 24

So it is 15/24

Part A: 4 7's ina deck of 52 right?

So it's 4/52 if a 7 gets drawn?

4/52 = 2/26 = 1/13

So it's a 1 in 13 chance of a 7 getting drawn

Do that twice

1/169 chance

Part B: First draw, it's a one in 4 chance of getting a heart, due to 13 cards of each suite in a 52 card deck.

But then it is a 13 in 51 chance for the heart, due to the non-replacement

13/51 * 1/4 = 13/204 chance of getting that combination

Part C: B is a dependent even due to the cards being drawn depending on the cards previously drawn. If you draw a Spade, then instead of a 13/52 chance, you have a 12/51 chance of drawing another spade. And etc. till you get to a 1/40 chance of getting a spade, if you, somehow, get 11 consecutive spades.

41/111 = 0.3693693693693694

41/111 is your answer

I'm sorry, I was looking for this, to the 274th term:

\(\sqrt{\sum{sin({a}_{n-1}^2)+2}}\)

I musta mistyped the squared term

If my knowledge is correct it would be decay due to R being <1

I'll give you a hard one. 

What is the square root of the sum of the geometric sequence of Sin(a_n-1)²+2 to the 274th term?

Noodles are tasty

5 mins*

And MAAAAAGGGGGIIIIICCCCCC

It wasn't actually that hard.