nsq

[smeag]

1111 base4 + 222 base5 + 33 base6 = ________________ base 10

5380 / 18 + 6602 / 22 = (approximation)

.21212121... / .090909... =

A convex polygon has 14 distinct diagonals. How many sides does it have?

The simplified coefficient of the x^2y^2 term in the expansion of (2x + y)^4 is

IF P is .75 of Q and Q is 2/3 of R then R is what percent of P?

How many words, real or imaginary can be made from the letters C,A,L,C,U,L,U,S?

(87 base11)(79 base11) / 10 has a remainder of __________

10 (3/5) X 5 (4/5) = (mixed number)

The sum of the proper divisors of 76 is____________

[smeag]

ahem! cough, cough!

[nsguy1350]

85 + 62 + 21 = 168. Crunch.

About 300 + 300 = 600.

(21/99)/(9/99) = (21/99)x(99/9) = 21/9 = 7/3
Add one to get a triangular number. Here you get 15, the 5th triangle number. Add 2 to this to get the number of side -- 7.

Plug in the x coefficient into x^2, the y coefficient into y^2, then multiply by the binomial coefficient (since it's to the power 4, the coefficients are 1,4,6,4,1).
4 x 1 x 6 = 24.

3/4 x 2/3 = 50%.
Reverse it to get 200%, since it asks for the percentage of P is R.
Since the C,L, and U are repeated twice each, divide 8! by (2! x 2! x 2!), to get 5040 (8! / 8 = 7!).

Add the digits of each number to get new numbers, then perform the original operation.
(8+7)(7+9) = 15 x 16 = 240.

LOIF Mixed numbers.
5 x 10 = 50, 5 x 3/5 = 3, 10 x 4/5 = 8, 3/5 x 4/5 = 12/25.
Add those to get 61 12/25.

A proper divisor is a divisor of the number, excluding the number itself.
Using the sum of positive integral divisors formula, you get 140, so subtract 76 from this to get 64.

Hopefully those are right, check me.
And man, you expect answers in 5 min! If I'm on the computer, I usually have a forum tab open, which I check occasionally, but other than that, you're going to have to wait a while.

EDIT: 7+8 is not 12, see, that's a typo. 15 x 16 is 240, like I said.

[smeag]

Sorry,
my brother can be a little impatient and restive at times... By the way, what are you planning to do after Calculus BC NsGuy?

[nsguy1350]

Junior Year = Statistics
Senior Year = Attam, a class that is about college-level math. I think SEM is the only school in the country to offer it.

[BlasianAsian]

Whoa! You're taking Calculus in sophomore year?! O.O What a trooper, lol.

[nsguy1350]

Me, along with about 15 others.
SEM is awesome. Not to brag, but check this out --- http://www.huffingtonpost.com/2011/06/2 ... 80693.html
and this --- http://apps.washingtonpost.com/highschoolchallenge
The rival school in our building was #2 this year (Talented and Gifted) and they are in the same building lol.

[BlasianAsian]

Wow, my school isn't even on there. We're retarded, lol. I blame it on the no child left behind law. Our school district is hard-pressed to let us skip math classes. There was this one guy who wanted to take Calculus in his sophomore year, but since it was based on a 5.0 scale, and sophomores in our school district are only allowed to take AP World History, he had to force his way through, and eventually, administration only let him take it on a 4.5 scale.