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Wow! I am so sorry for whats happening! God doesnt do those things... Only Satan does, he came to steal k**l and destroy but God came to give us life!   The only thing you can do right now is pray and ask god to give you comfort... He will never leave you nor forsake you! Dont give up for you can do all things through Christ who gives you strength! We dont always know why God lets the devil do things but we do know that good will come out of it after this life is over! If you stay strong now God will deffinately grant you treasures in Heaven! For apostle paul went throough pain and suffering yet he was Gods beloved! Just stay strong in christ and never give up

4-2=2 that is so easy..

You do some stuff

Is that 12,0 or 12 x 0 ?

In geometry, a decagon is any polygon with ten sides and ten angles. A regular decagon has all sides of equal length and each internal angle equal to 144°.

6(x+2)+7      distribute the "6" across the terms in the parentheses

6x + 12 + 7   combine like terms

6x + 19

We need the tangent here, since it relates the opposite and the adjacent....so we have

tan(72) = opp/ adj  = opp/ 19     multiply both sides by 19

19*tan(72) = opp ≈ 58.48

tan(x) = cos(x)  

sin(x)/cos(x) - cos(x) = 0

[sin(x) - cos²(x)] / cos(x)  = 0

[sinx - (1 - sin²(x)) ] / cos(x) = 0

Since the left side is only 0 if the numerator = 0 , we have

sin²(x) + sin(x) - 1 = 0

Let a = sin(x)    .....so we have

a² + a - 1 = 0

a² + a + 1/4 = 1 + 1/4

(a + 1/2)² = 5/4     take the square root of both sides

a + 1/2 = ±√5/2

a = [±√5 - 1]/2

sin(x) = [±√5 - 1]/2

So

sin(x) = -Phi      or  sin(x) = phi

The first is impossible since -Phi < -1

The second yields

sin^-1(phi) = sin^-1([√5 - 1]/2) ≈ 38.17°

This could also be a 38.17° in the second quadrant ≈ 141.83°

Thanks, I'd like that.  If you were a member you could send me the address of your post.  

Hmm.  Just downloaded Firefox (which I'm using now).  I don't even get the icons!  It must be me!!

I use Firefox..very stable browser..with some nice optional add-ons (if you're into to that sort of thing)..Chrome is good......I don't recommend IE....AT ALL!!.....very "buggy"....in fact, the standing joke in the computer world is....."What is the definition of IE???....Answer: "It's the browser people use to download OTHER browswers!!!

(I've also used Opera....very good, too!!)

Just my opinion, of course......

What browser are you using Chris?  I just get icons in Google Chrome and in IE.

I can right-click and select Open image in new tab to see them, but I also have to put up with a lot of extraneous material, like adverts, this way.

They look like they're displaying fine  !!!

I'm not sure I "see" what you "saw".....

(Get it ???   "seesaw??" ..........ah, never mind......)

Thanks for your help.

Yeah I was really confused aswell, once I get the answer back from my teacher I'll post it.

5% commission on $46,350 is:

$${\frac{{\mathtt{5}}}{{\mathtt{100}}}}{\mathtt{\,\times\,}}{\mathtt{46\,350}} = {\frac{{\mathtt{4\,635}}}{{\mathtt{2}}}} = {\mathtt{2\,317.5}}$$

Add this to $24000

$${\mathtt{24\,000}}{\mathtt{\,\small\textbf+\,}}{\mathtt{2\,317.5}} = {\mathtt{26\,317.5}}$$

$26,317.5 is less than $28,560, so the salary without commission option is better here.

Here's a pictorial view:

Hmm!  Images are showing only as icons!  I hope this is temporary.

Yes, it was temporary - I can now see images again!

3x+3=21

The idea is to get x by itself

you start by getting all the xes on one side and all the numbers that don't have xes on the other side.

So you think to yourself.  WHAT DO I NEED TO GET RID OF ?? 

First you need to get rid of the +3 you can do this by subtracting 3 but whatever you do to one side you must do to the other  side as well.

3x+3-3=21-3

3x=18

NOW WHAT DO I NEED TO GET RID OF ?

I need to get rid of the 3 that is in front of the x

There is an invisable multiply sign between the 3 and the x

The opposite of multiply is divide.

So divide both sides by 3

$$\\\frac{\not{3}x}{\not{3}}=\frac{18}{3}\\\\
x=6$$

REMEMBER: EQUATIONS MUST ALWAYS BALANCE

- WHAT YOU DO TO ONE SIDE YOU MUST ALSO DO TO THE OTHER SIDE !!!

There you go, that would have to be the fullest explanation I have ever given anyone !    

Do you have any questions?   

Fri 5/9/14

1) Rosala's laughs - thank Rosala

@@ End of Day Wrap:      Thurs 4/9/14        Sydney, Australia      Time 5:45pm        ♬

Hi everyone,

There were lots of questions but I got through it in good time today.  That's partly because I have so many great answerers working along side me and I am trusting that you get the answers right and I don't need to check too hard. Aziz in particular has been powering throught the questions, without you there would be no way we would get though them all.   I am also very grateful to have Chris (CPhill) working with me.  Chris answers a great many questions and also checks off many other people's answers so I have even less concern.   

Today's answers were given by Alan, Honga, CPhill, AzizHusain, That-cool-girl, LLABlackJack, Jaggy16, NinjaDevo, Nicki and Heureka.  A big thank you to each of you.

That-cool-girl and Nicki are both new members.  I would like to take this oportunity to welcome you to our web2 forum.  I hope that you enjoy yourselves here.

Now for today's interest posts, I only earmarked a few:

1) A bit of fun from Chris 

how do rationalize and simplify 2x/sqrt(8x)

$$\dfrac{2x}{ \sqrt{8x} } = \sqrt{ \dfrac{4x^2}{ 8x } } = \sqrt{ \dfrac{x}{2} } = \frac{1}{2}\sqrt{ 2x }$$

I don't really know but I can discuss some things with you.

$$\boxed{Annual\;Prime\;Cost\;Depreciation=\frac{original\;value-salvage\;value}{estimated\; annual\; life}}$$

I'll assume that the salvage value was estimated at 0

so yearly depreciation is 36000/10 = $3600

2 years worth of depreciation can still be claimed, this is 3600*2=$7200

cost = cost of new machine - sale of old one - depreciation still owing.

cost = 65000 - 5000 - 7200 = $52800

As for all that other stuff, I am not sure that any of it is relevant.  

Type in "acos" --> acos(90) for example

OR 

Press the "2nd" key and then "acos." Note: cos will change to acos after pressing the 2nd key.

Hi anonymous,

Maybe I can help

Instead of having the original amount being y₀ units why not let it be 1 unit.  Then everything is a little easier.

So

$$\\y_n=\left( \frac{3}{4}\right)^n y_0\\\\
becomes\\
\\y_n=\left( \frac{3}{4}\right)^n \\\\$$

remember, $$y_n$$    is the amount of original water in the tank.

You want to know when this become 5%.  5% of the original 1 unit is 0.05*1=0.05

so you want to know when

 $$\left( \frac{3}{4}\right)^n=0.05\\\\$$

NOW

If you would like me to explain without changing the $$y_0$$  to 1 ,   I can do that for you.   

Thankyou Honga!