Mathematics - 22 October 2007

thease are 2 differnt questions and please answer this one as well... How many equilateral triangles with 1-inch sides can be cut from an equilateral triangle with 3-inch sides?

2007-10-22 18:16:53 · 4 answers · asked by Anonymous

2007-10-22 18:03:39 · 3 answers · asked by tcooper19 1

You own 24 CDs. You want to randomly arrange 6 of them in a CD rack. What is the probability that the rack ends up in alphabetical order?

The letters in the word MATHEMATICS are arranged randomly.
What is the probability that the first letter is M?

2007-10-22 17:54:02 · 4 answers · asked by Anonymous

2007-10-22 17:52:13 · 2 answers · asked by Onika D 1

how do you do this??? please show me how you got your answer

write an algebraic expression for the given expression.
- sin(arccos x)

- sec(arctan 3x)

2007-10-22 17:45:53 · 3 answers · asked by Anonymous

ok, im kinda stuck on this one. heres the question

11. Factor 32x^3 – 32x^2 + 8x by finding the GCF. Be sure to factor completely. If this is not possible for some reason, state why.

heres what i got, but i cant figure out how to factor out the last quadratic left in the parenthesis. can some one help me please
8(4x^3-4x^2+1)

2007-10-22 17:40:54 · 5 answers · asked by Anonymous

how do you find the limits of this? the answer IS -1/2..but I have no idea how you approach that answer..if would be great..if you worked out theproblem

lim rad(x^2 - 9)/2x-6
x => infiniti

2007-10-22 17:28:48 · 2 answers · asked by Anonymous

...Suppose that a particular Norman window is to be 24 ft. in perimeter. Also assume that the semicircular portion of the window is to be constructed of stained glass which transmits only half as much light as regular glass. What should the dimensions be in order to allow the maximum amount of light to enter through the window?

You don't have to work this whole problem out. I really just want to know instructions on HOW it should be done or approached (in terms of math). I'm mostly just unsure about the part that mentions the stained glass and from then on. Thanks!

2007-10-22 17:28:38 · 2 answers · asked by Anonymous

2007-10-22 17:28:02 · 8 answers · asked by Anonymous

Let n= first number

2007-10-22 17:20:06 · 3 answers · asked by SlySlick&Wicked 1

derivative:

f(x)=7x^6 - 8/x^3 + 3(sq root of x)


antiderivative:

x^7 + 4/x^2 + 3/2x + C

2007-10-22 17:07:32 · 3 answers · asked by Anonymous

2007-10-22 17:03:26 · 1 answers · asked by Alexandria C 1

I recently bought this car from a private seller and it did not come with a manual. The radio requires a 4 digit code using the numbers 1-6. Is there anything I could do besides going to the manufacturer of the radio.

2007-10-22 16:58:29 · 4 answers · asked by Jessica 2

2007-10-22 16:49:47 · 16 answers · asked by Anonymous

This is a question on my math packet, and my brain is fried right now. I just can't seem to figure it out.

Details are appreciated immensely, and are clear explanations.

Side length--s--is 1, and I need the area for iterations 0 through 6 with the recursive formula and the explicit formula, as well as the finite area of the curve.

From Googling, I found the final area asfter an infinite amount of iterations to be either 8x/5 or (2 * sq. root 3)/5 *s^2.

I don't understand the discrepancy.

Thank you in advance.

2007-10-22 16:46:39 · 2 answers · asked by Anonymous

(2x-y)(x^2+2xy-y^2)

2007-10-22 16:45:56 · 2 answers · asked by Anonymous

2007-10-22 16:38:56 · 11 answers · asked by Anonymous

i) f(x)=x^2sin(1/x)

ii) f(x)=xe^1/x

iii) f(x)=x/sin(x^2)

2007-10-22 16:29:24 · 2 answers · asked by Jen T 1

no damn clue!

2007-10-22 16:19:53 · 1 answers · asked by Anonymous

2007-10-22 16:04:24 · 1 answers · asked by mskloraine 1

How do u factor these two expressions:

5x^2-14x+8

and 3x^2-7x-20?

2007-10-22 16:03:07 · 8 answers · asked by Chipee 1

I have used p(1), c(1),d(1), etc. to mean p subscript 1, c subscript 1, and etc. Also, c(1)...c(k) and d(1)...d(k) are non-negative integers. And p(1)...p(k) represent different primes.

2007-10-22 16:02:08 · 2 answers · asked by Anonymous

Liouville's lambda function λ(n) is defined by factoring n into a product of primes n = (p_1)^k_1 + (p_2)^k_2 +...(p_r)^k_r and then setting λ(n) = (-1)^(k_1 + k_2 +...k_r)

The function g(n) is defined as follows):
G(n) = λ(a_1) + λ(a_2) + ... λ(a_r), where a_1 through a_r are the divisors of n.

I noticed that when you compute the value of G(n), it is 1 for perfect squares and -2 for all other values. How do I prove this?

2007-10-22 15:45:56 · 1 answers · asked by gumy23s 1

a) A rectangular parking is to be fenced on three sides leaving the fourth side open to the street. If there is 800 meters of fencing available, determine the dimensions that would produce the maximum area.
b) Two numbers differ by 6. If their product is a minimum, determine these numbers. ( i guessed x and x-6 but i wasn't sure)
Show steps please.

2007-10-22 15:45:20 · 2 answers · asked by Anonymous

1. if you have two vectors, how would you theoretically find the equation of the plane they span (you're not given a point in the plane)

2. if you have two planes that intersect at a line, how do you find the equation of the orthogonal vector from that line to a point?


thanks!!

2007-10-22 15:44:10 · 1 answers · asked by Jo 1

2007-10-22 15:40:28 · 5 answers · asked by MKS 2

A=2(pi)(r^2)?

2007-10-22 15:38:49 · 5 answers · asked by Anonymous

This is a nonstandar problem

2007-10-22 15:35:31 · 2 answers · asked by Anonymous

please anser . i need it is a hour.

2007-10-22 15:21:09 · 2 answers · asked by yame 1

1. What is the least positive integer that 180 should be multiplied by if the product is to be a perfect square? What is the least intiger we should multiply 180 by if the product to be a perfect cube?

2. A tank contains 50 liters of antifreeze. Ten liters are removed and replaced with water. The mixture is stirred. Ten liters of the mixture are removed and replaces with water. How many liters of water are now in the tank.

2007-10-22 15:03:36 · 1 answers · asked by James R 1