Math Forum / Mathematics / Algebra Help / April 2006

I'm having a bit of trouble with solving this sequence:  (I need to
supply the tenth term)
(I'm putting extra spaces in between because I find it difficult to
read otherwise)

I know that  x^3 + x + 4    and    13x + 20   intersect at the point  (4,72)
according to my graphing calculator,  but I'm trying to solve this
algebraically by setting the two equations equal to each other, but I can't
seem to make it work?  any help would be much appreciated......

Definition. A finite extension E of F is a field extension
of finite degree. That is, [E:F] = n, where n is a natural
number.
Definition. A finite extension E of F is a normal extension

Hello illustre mathematician...
Could someone tell me how to translate "affine scaling"
in french?...
Thanks in advance

Hi - I'm trying to figure out how much accuracy I'm losing on a survey
I work on if we report the data rounded to the nearest thousand vs.
reporting the data in exact amounts. For example, I might receive a
reported value of $1,580,512.20 from a survey respondent but that

I need to know the maximum number of combinations?  
This is the problem:  How many five digit numbers can there be if a
five digit number is such that each digit is either 0,1,2,3,4,5 or 6?
Assume 00000 is the first number and so it goes 00001, 00002, etc.. .

Let f(x) = sin^6(x) + cos^6(x) + k*[ sin^4(x) + cos^4(x) ]
(on the real numbers)
(1) For what values of k is f(x) a constant?
(2) If k = -0.7, find all the zeroes of x.

  I am developing a computer program in Java  (which will be web
based) whose sole purpose is to take two things as an outputs.  1)
center of the circle 2) radius of the circle. And prints the circle on
the screen as an output.

Theorem. Suppose r is algebraic over F with a minimal
polymonial of degree n. Then |G(F(r)/F)| <= n.
Proof. Let s be in G(F(r)/F). By definition, the group
leaves every u in F fixed, so there are at most n possible

i know all 3 side lenghts and i need to find all 3 angle please help! a
formula would be nice

Greetings math guys (gals):
Got a word problem that is giving me fits:
Facts:
300 gal water tank

Greetings Math Guys (Gals)
I trying to solve this system in the most efficient way possible.
3x-4y=25
x^2 + y^2 = 25

I have a student who keeps reversing subtraction and division in word
problems!
I don't know why or what to do!
--

Thanks for  the help on the last couple guys, I got them. Here is another
one that's giving mea problem:
P: "If H is a subgroup of G such that the product of two right cosetsof
h in G is again a right coset of H in G, prove that H is normal in G."

I'm hoping i'm missing something obvious.  Any hints on where to begin
with this would be appreciated.
G=<a>={e,a,a^2,...,a^14} is a cyclic group of order 15.
There are 8 automorphisms from G to G that map a to a^k where k elements