Mathematics - 6 August 2007

I've been trying to prove the following, but haven't got there yet, maybe someone can give some hints.

Let A be a subset of R^n with positive Lebesgue measure. Then, the set A + A = {a1 + a2 | a1 and a2 are in A} contains an open ball. I could prove this for the set A - A, but not to A + A

2007-08-06 06:28:48 · 1 answers · asked by Steiner 7

Hi.
I have this problem I keep doing wrong. It involves the law of cosines and sines.
A triangel with vertices A, B and C and opposite A we have side a, opposite B we have side b and opposite C we have side c. The length of b is 147, length of c is 216 and the angle A is 83,33°. I need to find B, C, a and the area of this triangle.

Could someone please walk me through the solution step by step (preferably with some explanations) so I can see where I made the mistake.
Thank you.

2007-08-06 06:20:57 · 4 answers · asked by F 6

-24=-8/3p +3p
find p=?

2007-08-06 06:08:44 · 6 answers · asked by Anonymous

What is the difference between the sum of all the even counting numbers less than 101 and sum of all the odd counting numbers less than 101?

2007-08-06 06:07:28 · 5 answers · asked by torty2005 1

f(x) = log(sub 1/3) (9x)

2007-08-06 06:05:31 · 2 answers · asked by Jenny V. 2

The area of a rhombus is 300 square inches. The diagonals are in the ratio of 2:3. Find the length of a side of the rhombus.

2007-08-06 05:44:27 · 3 answers · asked by polanski1991 2

{6x=5y+1
{-12x+10y=1


Would I Multiply 6x by 12 and vice versa with -12x by 6x?Distribute and then solve?

2007-08-06 05:41:40 · 4 answers · asked by Anonymous

If I have 1 1/2 ounces of a 60% juice, 40% water solution and 1 1/4 ounces of a 0% juice, 100% water solution, what would be the final percentage of juice in the 2 3/4 ounce solution?

2007-08-06 05:24:33 · 3 answers · asked by forshizzle992 2

How do you solve for the derivative ?? could you please give an example for better understanding...

thanks ^_^

2007-08-06 05:17:54 · 5 answers · asked by twowizdom 2

3k=1/2 --> which is 3k equals 1/2 divided by 3?

2007-08-06 05:16:37 · 4 answers · asked by Cdub 2

2007-08-06 05:12:48 · 15 answers · asked by AMAnswers 2

How many miles are walked when mowing a one acre lot assuming the mower has a 24 inch base? An acre is approximately 209ft. X 209 ft.

2007-08-06 04:56:35 · 5 answers · asked by dtrain3561 1

I'm supposed to differentiate these two problems

G(x) = Ln (x^5 - 3x^2 + 5)

and

F(x) = 3e^x / Ln(2x)

i'm lost can anyone help?

2007-08-06 04:51:30 · 2 answers · asked by fnwitdicknjane 1

what is the range of the function?

r(x) = Square of(x - 10)

2007-08-06 04:46:00 · 3 answers · asked by Jenny V. 2

what is its decay rate, round to nearest tenth of a percent

i have no idea how to do

2007-08-06 04:44:57 · 2 answers · asked by drexelusadly 1

I am having some trouble with 2 different trig problems. Can someone lend me a hand?

1.) arcsin [sin Pi/6] (they want an exact answer)

2.) write the following as an algebraic expression.

tan [sec-1 u/5 ] (*the -1 is actually an inverse sine)


I am unable to reach my professor and would really appreciate any help! Thank you!

2007-08-06 04:42:22 · 3 answers · asked by strangelove1980 1

1) Simplify: 2 sqrt 5 + 2 sqrt 5

2) Simplify: -3 sqrt 2 + 2 sqrt 2

3) Simplify: 2 sqrt 7 + 3 sqrt 7 + sqrt 7

4) Solve the equation: sqrt x = 9

2007-08-06 04:41:09 · 3 answers · asked by britz13579 1

2007-08-06 04:40:14 · 8 answers · asked by Anonymous

2007-08-06 04:38:46 · 3 answers · asked by Anonymous

state the domain and range of the function:

g(x) = log(sub 3)(2 - x)

2007-08-06 04:35:47 · 2 answers · asked by Jenny V. 2

1) Simplify: 2 sqrt 5 + 2 sqrt 5

2) Simplify: -3 sqrt 2 + 2 sqrt 2

3) Simplify: 2 sqrt 7 + 3 sqrt 7 + sqrt 7

4) Solve the equation: sqrt x = 9

2007-08-06 04:31:41 · 3 answers · asked by Anonymous

A gardener has 200 meters of fencing to enclose two adjacent rectangular plots what dimensions will produced a maximum enclosed area??



Could you please help me with this problem and please put your solution or an explanation on how did you get the answer

Thanks ^_^

2007-08-06 04:18:06 · 7 answers · asked by twowizdom 2

Please be specific with your work. Thank you.

2007-08-06 04:15:19 · 3 answers · asked by Anonymous

I'm not the best when it comes to math...........

When I go shopping and see the "sales" sign saying "75 %" off......how do I find the price to that



For example there are paire of boots that are 65 dollars and they are 75% off.

Can someone show me step by step to figure what the price will be if it is 75% off?

2007-08-06 04:13:00 · 8 answers · asked by Anonymous

A. 1.8
B. 2
C. 2.2
D. 4

2007-08-06 04:02:40 · 6 answers · asked by Anonymous

ok i want to buy this bag on the internet and it says its 17'' x 4'' x 17'' so like is tht

17''=lenght
4''=width
17''=height
??????

becuz i want to know how big it is....

2007-08-06 03:54:54 · 3 answers · asked by PrincessA 6

In an apple orchard there are 30 trees per acre, and the average yield per tree is 400 apples. For each additional tree planted per acre, the average yield per tree is reduced by 10 apples. How many trees per acre will maximize the crop?

What's the equation for yield per acre?

What's the derivative?

What's the optimum number of trees?

2007-08-06 03:43:47 · 1 answers · asked by Anonymous

A parallelogram has consecutive side lengths of 9 and 7 and diagonals of integral lengths. How long are these diagonals?
Please show work!!!

2007-08-06 03:41:29 · 3 answers · asked by i'MdAmAnn 2

I'm just beginning to work with derivatives, and I've only done problems that are "1 step," and by that I mean, it's only multiplication, only division, only addition, etc. I'm not sure how to do this 2-step one using the product rule. So can you please explain as thoroughly as possible with WHAT you're doing and WHY you're doing it? THANK YOU SO MUCH!!!

Differentiate f(x) = x(x² - 3)(x³ + 1)

2007-08-06 03:26:54 · 4 answers · asked by Happy 3

the answer is x=4 and y=5 but i want complete logical solution.

2007-08-06 03:13:10 · 4 answers · asked by Anonymous