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$$\\\frac{21x}{y}\times \frac{8y^2x}{14t}\\\\
Cancel\:out...Only\;Like\;Terms!!!\\\\
\frac{21x}{y}\times \frac{8y^2x}{14t}\\\\\\
$Umm...\;I can't find anything.\\\\$
$I could divide 21 and 14 by 7, but they're not like terms.\\\\$
$So, it's already canceled?\\\\$
\frac{21x\times8y^2x}\times{y\times14t}\\\\
\frac{21x^2+8y^2}{14ty}\\\\
\frac{168xy^4}{14ty}$$

I think.

I don't know what pie squared is, but I know that  pi is the proper subset of pie

                                          {pi} ⊂ {pie}

6 + ( - 1) =  6 - 1 = 5

4% of X + 3% of Y = 194            and             X+Y=5200  multiply by 4

0.04X+0.03Y=194  multiply by 100

4X+3Y=19400    (1)                       and              4X+4Y=20800   (2)

(2) - (1)

4X-4X+4Y-3Y=20800-19400

Y=$1400

X=$5200-$1400 = $3800

(This is based on simple interest)

if you want 5/6 as a decimal just put it in as 5/6

$${\frac{{\mathtt{5}}}{{\mathtt{6}}}} = {\mathtt{0.833\: \!333\: \!333\: \!333\: \!333\: \!3}}$$

y=Ae^(kt)

when t=0 y= 250  SO  A=250

y=250e^(kt)

When t=11 y= 1959

$$\\1959=250e^{11k}\\\\
(1959/250)=e^{11k}\\\\
ln(1959/250)=11k\\\\
k=\frac{ln(1959/250)}{11}\\\\$$

$${\frac{{ln}{\left({\frac{{\mathtt{1\,959}}}{{\mathtt{250}}}}\right)}}{{\mathtt{11}}}} = {\mathtt{0.187\: \!157\: \!136\: \!371\: \!117\: \!7}}$$

growth rate is approx 18.7%  per annum

Thanks for checking Chris :)

Well these ones can!      

https://www.youtube.com/watch?v=9dfWzp7rYR4

Yes i am a robot.  I am fueled by donuts.  Do you have any for me?

PENGUINS CAN'T FLY

$$\\3log_ax + 5log_ay\\
log_ax^3 + log_ay^5\\
log_ax^3y^5\\$$

inverse cos is the same as arc cos 

use

[2nd] [acos]  number

It is an equation.

Here is the graph that it describes

If you are seriously interested, watch this

$${factor}{\left({\mathtt{4\,761}}\right)} = {{\mathtt{3}}}^{{\mathtt{2}}}{\mathtt{\,\times\,}}{{\mathtt{23}}}^{{\mathtt{2}}}$$

so

$$\sqrt{4761}=\sqrt{3*3*23*23}=3*23=69$$

None of them

$$xx+7x-9x+7=x^2 \;\; +7x-9x \;\; +7=x^2-2x+7$$

How dare you say that, Rosala!

no im joking, Mr. Flores is indeed terrible, lol

I take that back dont enforce RUle 69 plz!

anyways, Rosala

TitaniumRome, unlike all other leaders, is really sneaky

his defenses have saved Neu Tokyo multiple times, or as some of us call it, Nueva Roma

and its no doubt that he has done well with his robot army

besides, thats not all

alright, lets hide the defenses somewhere

hehehe, they can't recognize the defenses

im not on Royality's side

i have created my own. ha!

anyways, Titanium Rome is like the Fox

this helped him a lot in his early years of ruling the territory

also, Titanium Rome is planning to unleash a new defense into the game

this even helped him in last year's battle against CH Anonymous

be warned

It helps if you know that a km is shorter than a mile.

the conversion is approx     5/8   

If you are going from miles to km the answer has to get bigger so you mult by   8/5

 and if you are going from km to miles the answer has to get smaller so you multiply by 5/8     

Rosala, it is very easy to get confused with this stuff.

Remember, fractional indices are roots AND roots are NOT the same as dividing.

I will give you 3 points for having a go.

really, Roman? MEGA MAN??? ALONG WITH AUTONOMOUS ROBOTS???

now this fight would be interesting

$$\\136=x^3\\
136^{1/3}=x$$

This one looks interesting CPhill :)

You also forgot mega man as well

You can still scout my base anyways 

time to scout yours

Thanks Bertie, it is always good to see you on the forum :)

I would have done it Bertie's way but I always like to see your graphical solutions too Chris.

Sometimes I forget that problems can be tackled graphically too.