Mathematics - 18 November 2007

Simple little proof I can't seem to get...

Prove n^21 = n^3 (mod 21) for every integer n.

that "=" sign is the three horizontal line symbol, meaning congruent.

Help please

Thanks.

2007-11-18 14:23:37 · 3 answers · asked by keromon 1

I need help urgent!!

2007-11-18 14:23:27 · 4 answers · asked by Anonymous

In triangle ABC, angle bisectors A,A1 and C,C1intersect at point E. Quadrilateral A1,B,C1,E are cyclic. Find the area of triangle AEC if AE=p and CE=q.

2007-11-18 14:15:44 · 2 answers · asked by Anonymous

I suck at conversions.

No, it's not HW. I'm trying to do this dumb experiement for my mom's Girl Scout troop.

Thanks for answering =/

2007-11-18 14:11:46 · 0 answers · asked by Me 7

consider the following polynomial equation f(x)=3x raised to the 3 -11x raised +2nd power
8x+4
factoered polynomial f(x)=

2007-11-18 14:11:06 · 1 answers · asked by Anonymous

A rectangular movie theather is 120 feet long. The top and bottom of its screen are 45 feet and 20 feet from the floor. Find the position in the theater with the largest viewing angle.

Hint: You are asked to find the position x where the angle a-b is the largest. Instead of maximizing a-b, it is easier to maximize tan (a-b).
It is easier to maximize tan (a-b). The subtraction formula for tangent will be needed. This may be found by executing expand(tan(a-b));

CAN SOMEONE PLEASE HELP ME!!!!! HOW do i solve this using maple!?!?! i dont even know how to get started!!!

here's what the situation looks like :

http://i3.tinypic.com/86pwnpk.jpg

2007-11-18 14:07:59 · 2 answers · asked by soccerdude 1

2007-11-18 14:03:39 · 6 answers · asked by kindakaotik 1

For the problem, 6x + 6y - 12z = 36,
I must sketch the graph of each equation and find the equation of each trace.

I understand how to graph it, but what does it mean to the equation of the trace?

2007-11-18 14:01:00 · 1 answers · asked by anya 2

2007-11-18 13:58:46 · 1 answers · asked by rachie11207 2

2007-11-18 13:46:40 · 3 answers · asked by Kk 2

did he spend on the watches than on the clocks ?

2) David spent $210 in clothes & 30% of the remainder on food. Then he saved the rest of his money. If he had saved 49% of his original sum of money, how much did he have at the beginning ?

2007-11-18 13:37:45 · 5 answers · asked by Lim S 3

Assume that each situation can be expressed as a linear cost function. Find the cost function for each case. Marginal cost $90.00 ; 150 items cost $16,000.00 to produce.

2007-11-18 13:34:55 · 1 answers · asked by Anonymous

Solve the following counting problems. In each case show the reasoning that led you
to the answer.

(a) A palindrome is a word that reads the same forwards and backwards. How many
seven-letter palindromes can be made from the English alphabet?

(b) How many bit strings of length 10 begin with three 0s or end with two 1s?

(c) How many bit strings of length 10 contain either five consecutive 0s or five consecutive
1s?

(d) How many truth tables are there for propositions with n variables?

(e) Suppose you have n beads, each of a different color, that you need to string into a
necklace? How many distinct necklaces can you make? (A necklace flipped over
remains the same and does not count as a distinct necklace.)

2007-11-18 13:34:32 · 2 answers · asked by David 2

2
8+5i

Where 'i' is an imaginary unit.

Write the quotient in the form of a+bi.

2007-11-18 13:33:28 · 3 answers · asked by Anonymous

Part I)
How do you show that H is not normal in A_4?

Part II)
Referring to the Multiplication table for A_4 as a set of even permutations (http://www.math.niu.edu/~beachy/aaol/grouptables2.html)
how do you show that, althought, X_6H = X_7H and X_9H = X_11H, it is not true that X_6X_9H = X_7X_11H. Why does this prove that the left cosets of H do not form a group under coset multiplication??

(For easier typing, for this problem I am letting alpha = X and the even permutations in the chart are labeled as follows:
(1) = X_1
(12)(34)= X_2
(13)(24)= X_3
(14)(23)= X_4
(123)= X_5
(243)= X_6
(142)= X_7
(134)= X_8
(132)= X_9
(143)= X_10
(234)= X_11
(124)= X_12

2007-11-18 13:23:32 · 1 answers · asked by Anonymous

I have to solve this its x - 7 over x - 1 = 11 over x - 1

2007-11-18 13:23:29 · 5 answers · asked by Nicole D 1

2007-11-18 13:21:30 · 5 answers · asked by Anonymous

horizontal asymptote of(2x^2+x-7)/(x^2-1)?

2007-11-18 13:19:56 · 4 answers · asked by Faith R 1

Suppose no one sits down in their correct place. Show that it is possible to totate the table so that at least two people are sitting in the correct place.

This one's driving me nuts! I am pretty sure it has something to do with pairing the possible combinations of people and cards and the pigeon hole principle, but I'm pretty much stuck. Can anyone help me out with this one?

2007-11-18 13:15:40 · 1 answers · asked by hockeychick00014 1

3/i ??

Write the quotient in the form a+bi?

2007-11-18 13:15:06 · 5 answers · asked by Anonymous

Buckwheat's tractor tires have a diameter of 1.2m. Dingus counts the wheels turning 80 times (80 revolutions) as Bucky drives the length of the potato field. How long is the field in metres?

Then,
When it's Dingus' turn, he drives the length of the field in 36 seconds. How fast is he traveling in km/h?

This is what I did for both;
http://www.mymathforum.com/viewtopic.php?t=2157

2007-11-18 12:52:24 · 2 answers · asked by Dylan Rose 1

Could anyone help me with this?
pi = 3.14 with this no more than 2 decimal places.
http://img229.imageshack.us/img229/2201/homework001hr9.jpg

thank you

2007-11-18 12:52:12 · 1 answers · asked by George 1

At 11:00 a.m. a one-meter-high mailbox casts a 0.2-meter shadow. If a pole beside the mailbox casts a 8-meter shadow, how tall is that pole? thank you.

2007-11-18 12:24:19 · 1 answers · asked by Jane A 3

If sue mows nine lawns in 3 hours, and Jack mows lawns in 3 hours (as in problem one above), and we wish to discover how long it will take Jack and Sue working together to mow 1 lawn, and we let t stand for that time, an equation which could be used to solve for t would be:

a. 9t+6t=1
b. 1/2t+3t=1
c. 2t+3t=1
d. 1/9t+1/6t=1

2007-11-18 12:23:54 · 7 answers · asked by ~Sweetcheeks~ 2

this is the only other one i cant get

The tickets for a dance recital cost $5.00 for adults and $2.00 for children. If the total number of tickets sold was 295 and the total amount collected was $1,220, how many adult tickets were sold?

Answer:??adult tickets

2007-11-18 12:19:50 · 1 answers · asked by Lee 1

yeah 155 problems left but i suck at geometry lol soooo heres da problem

your team is instructed to plant the trees in a rectangular region you can use any rectangle as long as its area is 1600 ft squared.. if the side lengths in feet are natural numbers what are the possible dimensions of the region?


confusing lol grrrrrrr i hate math and my teacher, Mr. Butori, doesnt hold back on givin us lotsa problems.

2007-11-18 12:19:33 · 1 answers · asked by Aloha_lil_roxy_grlie_89 2

x+(1.4y)=1.2

and if it helps x+y=1

2007-11-18 12:19:27 · 5 answers · asked by Anonymous

2007-11-18 12:17:50 · 3 answers · asked by qbanma19 1

find the range of each function for the given domain:
for a car traveling at a constant rate of 60 mph the distance traveled is a function of the time traveled

a. express the relation as a function

b. find the range of the function when the domain is{1,5,10}

c. what do the domain and range represent?

2007-11-18 12:15:16 · 1 answers · asked by cocopuffs 2

Write in simpliest radical form (assume all variables are non-negative)

1] (5-2√3)^2

2] √5 (√10 -4√5)

2007-11-18 12:13:52 · 3 answers · asked by Anonymous