Mathematics - 3 November 2007

1. Let n=2^14 * 3^9 * 5^8 * 7^10 * 11^3 * 13^5 * 37^10.
a) how many divisors does n have?
b) how many divisors in a are divisible by m=2^3*3^4*5^7*11^2*37^2
(where n^m is n to the mth power and * = times)

2. Let m=8408400 and n=9316125
a) write m and n as a product of primes.
b. Without using the Euclidean Algorithm, find the greatest common divisor of m and n

3. Prove n is odd if and only if n^2+1 is even

4. Disprove: If n, m are perfect squares then n+m must be a perfect square

5. Use the Fundamental Theorem of Arithmetic to find the smallest interget n so that n * 1260 is a perfect cube




NOTE: i KNOW it's kind of scrambled and hard to read, but I didn't know what else to do. this is seriously killing me and the professor is impossible to understand in class.

2007-11-03 17:01:40 · 2 answers · asked by Anonymous

Explain please.

2007-11-03 16:47:28 · 6 answers · asked by Nap 1

'everyone' knows that( -b^2+,-sqrt4ac etc ) thing,but I am having a ding dang of a time trying to work out how it is actually derived, and getting into a whole mess of algebraic trouble

2007-11-03 16:39:34 · 3 answers · asked by c0cky 5

Also, could you provide specific steps to your answer? I would appreciate it.

2007-11-03 16:20:34 · 4 answers · asked by Chike E 2

I dont really understand this question, actually I have problems with the subject, any help I'll appreciate, thanks

Q: suppose that G is a cyclic group and that 6 divides |G|. How many elements of order 6 does G have? If 8 divides |G|, how many elements of order 8 does G have? If a is one element of order 8, list the order elements of order 8

2007-11-03 16:20:30 · 2 answers · asked by Batman 1

What order do I do this in? there are no parenthesis so i am not sure?

Simplify. Express your answer in simplified radical form
square root of 48 minus square root of 3

2007-11-03 16:16:24 · 6 answers · asked by meme 1

explain

2007-11-03 16:09:58 · 3 answers · asked by Anonymous

The (x,y) co-ordinates

2007-11-03 15:34:44 · 4 answers · asked by Anonymous

They were trying to find what I equals. V=60 and R=40 and answer is 1.5 but I dont understand how they got to I= 1.5
The problem reads I=V/R but V=60 and R=40
Please help me Thank you!

2007-11-03 15:34:29 · 5 answers · asked by Bridgette H 1

How do you find F when F=9/5(-15) + 32? Thank you for any and all answers.

2007-11-03 15:26:44 · 13 answers · asked by Anonymous

i need help with this math problem
how do u find the equation of the straight tanget to the circumference on the indicated point.....

x^2 + y^2 =10 .... point is (6,7)

2007-11-03 14:55:01 · 5 answers · asked by X_nOmAd_oo57-ha 3

2007-11-03 14:44:09 · 23 answers · asked by Anonymous

I have a set of N points in a 2 (or 3) dimensional space. How do I find the point P for which the sum of distances to the N points is minimal?
Is there a known name for this problem?
Thanks.

2007-11-03 14:25:45 · 4 answers · asked by clash_of_civilizations 2

We have to build an arch bridge for a geometry class, with abutments, voussoirs, and a keystone.

http://www.makingthemodernworld.org.uk/learning_modules/maths/02.TU.03/illustrations/02.IL.24.gif

How big should the measurments of each part be? How many voussoirs should there be?

Would it work if we had 10 voussoirs total? The measurments of each voussoir as:

3 in and 4 in (nonparallel sides)
3 in and 3 in (parallel sides)
75 degrees (bottom base angles)
105 degrees (top base angles)

If that works, what should the keystone measures be? And the abutments?

Thanks so much!

2007-11-03 14:25:05 · 2 answers · asked by Anonymous

5th space.

Doubles you roll again.

Chance is the 7th space.

One Chance card says to go to Reading Railroad.

One says to advance to GO.

There are (I think) 14 chance cards.

2007-11-03 14:20:21 · 3 answers · asked by Anonymous

I am going back to college after a long time off and am switching my major. In my new major in need to take calculus. I have only taken"liberal arts" type math classes in college and have not taken algebra. I am currentley studying what i believe to be algebra 1 out of a book called teach yourself algebra. I know i am not ready to take calculus when i start school next semester and would like to take precalculus. I would rather not have to take algebra 2 because from what I see precalculus is a review of algebra plus trig. Do I absolutley need algebra 2 before I take precalculus? I feel I am pretty good at learning math, I enjoy it and I will have a lot of time to study. I would like some opinions on this.

2007-11-03 14:20:01 · 4 answers · asked by Anonymous

beside square, what others?

2007-11-03 14:15:05 · 3 answers · asked by circle 3

dimensions should the box have so that its surface area is as large as possible?

2007-11-03 14:04:40 · 8 answers · asked by tady48 1

If f(x)=ax^3+bx^2+cx+d, a ≠ 0, determine a,b,c,d so that f has a local minimum at (0,3) and a local maximum at (4,12).

I understand that the critical numbers are 0 and 4, but I'm not quite sure how to start this problem. Any help/work is much appreciated. Thanks.

2007-11-03 13:51:01 · 3 answers · asked by Anonymous

In a race from point X to point Y and back, Jack averages 30 miles per hour to point Y and 10 miles per hour back to point X. Sandy averages 20 miles per hour in both directions. If Jack and Sandy begin the race at the same time, who will finish first?

2007-11-03 13:49:00 · 6 answers · asked by Anonymous

I'm helping my brother with a Geometry project. The object of the project is to provide pictures along with each vocabulary term. There were 30 terms and now I'm down to needing just two more pictures! I need a picture ideas for: diameter and radius. They can't just be a drawing of the vocabulary term. The pictures have to be creative. I would really appreciate your help :)

2007-11-03 13:44:58 · 5 answers · asked by Anonymous

such that h(x) =(f of g)(x) when h(x) =3rd sq.root (7-x^2).

2007-11-03 13:41:18 · 2 answers · asked by student 2

2007-11-03 13:10:49 · 6 answers · asked by merary e 1

http://x-o-best-answer-princess-o-x.piczo.com/?preview=y&g=38384624&cr=5&rfm=y

2007-11-03 12:46:59 · 12 answers · asked by Anonymous

2007-11-03 12:34:17 · 2 answers · asked by Anonymous

This is what I did:

1. x'=(4)x^(1/3)-(1/16)x^(-1/3)
2. integral of (sqrt(1+(x')^2)
3. integral of (sqrt(1+(4097/256)y^(1/9)-(1/2)y^(-1/9) )
4. integral of ((sqrt(1+(4097/256)y^(1/9)-(1/2)y^(-1/9) ) from 5 to 10

can anyone tell me what am I doing wron here???

2007-11-03 12:25:12 · 1 answers · asked by Anonymous

2007-11-03 12:12:53 · 2 answers · asked by tmlfan 4

What degree will the quotient be? Justify your answer.

2007-11-03 12:12:10 · 1 answers · asked by mlsz28 1

I have been having trouble with these two sections of Algebra II, so if you could please explain the following problems it would help me understand what I am suppose to be doing:

IF YOU CAN PLEASE TRY TO ANSWER ALL THREE, BUT IF NOT AT LEAST ONE

1) The top of a 15-foot ladder is 3ft farther up a wall than the foot of the ladder is from the bottom of the wall. How far is the foot of the ladder from the bottom of the wall?


2) The side of a large tent is the shape of an isosceles triangle whose area is 54 ft^2 and whose base is 6 ft shorter than twice its height. Find the height and the base of the side of the tent.

3) A farmer plans to use 21 m of fencing to enclose a rectangular pen having area 55 m^2. Only three sides of the pen need fencing because part of an existing wall will from the fourth side. Find the dimensions of the pen.


NOTE: Section is called "Problem Solving Using Polynomial Equations"

Thanks.

2007-11-03 12:09:47 · 2 answers · asked by J 3

The sides of a triangle are 2007, 2008, and sq. rt. 12090169. What is the measure of the angle included by the sides of length 2007 and 2008?

i dont know how to do this but i do know that the square root of 12090169 is 3477.092032.
please show work.

2007-11-03 11:52:11 · 3 answers · asked by Meow* 2