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1/3*3.14*3^2*12=1/3*3.14*9*12=0.33*3.14*9*12=111.9096=1112

Yes. 1+1=2

2*10^8=2*1,000,000,000=2,000,000,000

$$\\\frac{1}{i}\\\\
=\frac{1}{\sqrt{-1}}\\\\
=\frac{1}{\sqrt{-1}}\times \frac{\sqrt{-1}}{\sqrt{-1}}\\\\
=\frac{1\sqrt{-1}}{-1}\\\\
=\frac{\sqrt{-1}}{-1}\\\\
=-i$$

That is what I get anyway!  And WolfraAlpha agrees with me.  There seems to be a problem with the site calc.

I guess I was the first one to read this becoz I had read the day wrap before you posted this and Melody today's Thursday , not Friday!

Because 6 upside down is 9 and 9 minus 2 equals 7. dah

DragonSlayer which question??

first simplify:

-6b+5+4b=3b+10

(-6b+4b=-2b)

which gives us:

-2b+5=3b+10

(-2b-3b=-5b)

-5b+5=10

(10-5=5)

-5b=5

(-5b/-5=5/-5)

b=-1

Thank you Melody ! My day was great and a lil tiring too!

@@ End of Day Wrap  Thurs  18/9/14   Sydney, Australia   Time 4:50 pm    ♬  

Hi everyone.

The forum is far too busy to get all the questions answered.  I'm sorry question askers but that is the way it is and I for one did not even try.   

There were many great answers however and these were given by Alan, CPhill, Reinour-g, Heureka, SelenaPubbIT, Unknown Name. Kitty<3, Rosala, Nuijai and angelicaMarrufo.  A big thank you to each of you.  

Here are just a couple of interest posts.  I am sure there were many more. I need you to send the address of them to me by private message if you want me to include them.   

1) Reinout's Lunchbox unwrap.  Thank you  

parentheses first which goes like this:

64+7*-7=64-49=15

You are welcome :))))))))))))))

1.7%=0.017

317,000,000*0.017= 5,389,000

Fri 19/9/14

1) A problem with the site calc (Heureka and Melody)

Hi Heureka

I was showing off my latex for the algebraic division and I wondered if you could improve upon it?

Yes you are very crafty!

(4.18 x 10^-4) (9x10^-4) =  0.000000376

what is the scientific notation? 

$$(4.18 * 10^{-4} )(9 * 10^{-4} )\\
=4.18*9*10^{-4}*10^{-4}\\
=4.18*9*10^{-4-4}\\
=4.18*9*10^{-8}\\
=37.62*10^{-8}\\
=3.762*10*10^{-8}\\
=3.762*10^1*10^{-8}\\
=3.762*10^{1-8}\\
=3.762*10^{-7}$$

f(x)=-3(x+1/2)^2+1/2

I haven't actually solved anything - there is nothing to solve.  I have just simplified.  

$$\\f(x)=-3(x+0.5)^2+0.5\\\\
f(x)=-3[(x+0.5)^2]+0.5\\\\
f(x)=-3[x^2+x+0.25]+0.5\\\\
f(x)=[-3x^2-3x+0.75]+0.5\\\\
f(x)=-3x^2-3x+0.75+0.5\\\\
f(x)=-3x^2-3x+1.25\\\\$$

It is the score with the highest frequency.  The one (or ones) that happens the most often.

(3.9 x 10^2)(2.3 x 10^6) = 897,000,000

how do I get this answer in scientific notation ?

$$(3.9 *10^2)(2.3 * 10^6)\\
=3.9*2.3*10^2*10^6\\
=3.9*2.3*10^{2+6}\\
=3.9*2.3*10^8\\
=8.97*10^8$$

Try looking through this post - it will help

How to convert 1 kg/m³ into g/cm³

$$1\ \dfrac{\ kg}{m^3}} \\ \\
=\left( \dfrac{1\ kg}{m*m*m}} \right)
* \left( \dfrac{1000\ g}{1\ kg} \right)
* \left( \dfrac{1\ m}{100\ cm} \right)
* \left( \dfrac{1\ m}{100\ cm} \right)
* \left( \dfrac{1\ m}{100\ cm} \right)
\\ \\
=
\left( \dfrac{1000}{100*100*100} \right)
\left( \dfrac{g}{cm^3} \right)\\\\
=
\left( \dfrac{1}{1000} \right)
\left( \dfrac{g}{cm^3} \right) \\\\
=
10^{-3}
\left( \dfrac{g}{cm^3} \right)\\\\
=
10^{-3}\dfrac{g}{cm^3}$$

$$\boxed{ 1\ \dfrac{\ kg}{m^3} = 10^{-3}\dfrac{g}{cm^3} }$$

 how do we evaluate a fraction being raised to negative exponents ?

$$\left(\dfrac{a}{b}\right)^{-n}
\\\\=
\dfrac{a^{-n}} {b^{-n}}
\\\\=
\dfrac{a^{-n}} {1}
*
\dfrac{1} {b^{-n}}
\\\\=
\dfrac{1} {a^n}
*
\dfrac{b^n } {1}
\\\\=
\dfrac{b^n} {a^n}
\\\\=
\left(\dfrac{b}{a}\right)^n
\\\\
\boxed{\left(\dfrac{a}{b}\right)^{-n}=\left(\dfrac{b}{a}\right)^n }$$