All Answers 358088 Answers

Update: we're about to attack Mecca, the heart of the arabian penninsula. Kid danger cant escape, and capt. Man also just got thrown in the dungeon. Now you pesky lame villains can go back to your silly little life of crime while i have bigger more evil plans.

Power plant is working well as usual and has infected ALL FANTAS OF ARABIA!!!

now soon, the U.S.A., Mexico, Greece, Rome, Japan, Korea, China, Mongollia, and now the Arabian Penninsula will be the ones without Fantas! And then we will raid Vietnam, Russia, then we head over to Africa, then the rest of Asia back, then Germany, England, France, Italy, then we raid the rest of Europe, and that will be the end of Operation Soda Wars II

Operation Extinction then will happen, training everyone weve captured in Bushido, the way of the warrior, and then we will finally attack our neighbor Canada and the rest of northern America, then send the Spanish and Mexicans to attack southern America 

then we do Operation Island, the very last operation of Operation Fanta Doomsday, where we attack Australlia, and the last place we will attack is Sydney aka Melodys hometown. Dont worry Melody, dont worry about us k*****g or capturing you. We have a Life Detector 34x that can detect and identify people, and if it says Melody, we let you go and you can have all the peace and quiet and luxury you want

then, fanta will be gone

AND THE WORLD WILL BE IN OUR HANDS!!! (Yes ours, not just mine, and by that i mean the good friends of life), and everyone will recognize me as the greatest, most despicable villain of all time, not becuz i commit crime, but becuz if i can pull this one off, that makes the other villains jealous of me and lame

We don't really need to use two variables here...let x be the smaller bedroom and  (x + 60) be the larger....so we have...

3.25x + 3.25(x + 60 ) = 975    simplify

3.25x + 3.25x + 195 = 975    combine like terms

6.50x + 195 = 975      subtract 195 from both sides

6.50x  = 780      divide both sides by 6.50

x = 780 / 6.50 =  120 sq ft is the smaller bedroom...  and this person contributes (120)(3.25) = $390 to the rent

x + 60 = 120 + 60 = 180   sq ft is the larger bedroom  and this person contributes $(975 - 390)  = $585 to the rent

√3 • √5   ....there's nothing to "simplify" up front....we just have....

√3 • √5  = √15      [ using  √a • √b = √ab ]   for  a,b ≥ 0 

3/√2−1

So you basically would just do order of operations.

first find the square root of 2.

3/1.41-1

then divide 3 by 1.41

2.13-1

subtract

your answer is 1.13

√7⁄√2    multiply numerator and denominator by √2   ....this gives...

[√7 * √2] / 2   =   √14 / 2

----------------------------------------------------------------------------------------------------------------------

4⁄√3   multiply numerator and denominator by √3 ....we have...

[4√3] / 3   or just (4/3)√3 

√3 • √7  = √21        and that's it !!!

√(x + 7) - √(6 - x)   = 1        add    √(6 - x)  to both sides to separate the radicals

√(x + 7)  =  1 + √(6 - x)      square both sides

x + 7  = 1 + 2 √(6 - x)  + (6 -x)    rearrange to get theradical on one side

2x  =2 √(6 - x)      divide both sides by 2

x  = √(6 - x)      square both sides, again

x^2  = 6 - x      rearrange

x^2 + x  - 6 = 0      factor

(x + 3) ( x - 2) = 0

And setting each factor to 0, we have that x = -3  or x = 2 ......we must check these in the original problem, as these types of equations often lead to "extraneous" solutions [due to  the squaring of both sides]

Check -3    ... [√(-3 + 7) - √(6 - (-3)) = 1 ] =   [2 - 3   =  1 ]  is untrue

Check 2  ...  [ √(2 + 7) - √(6 - 2) = 1 ]    =  [ 3 - 2 ] = 1 which is true

So x = 2 is the only solution.......here's a graph of both sides  of the original problem.....

If there are 3 tables and 10 people at each, the 2.5 lbs. will be divide into 30 equal parts....thus....

[2.5 /30] lbs  =  [ 25 / 300 ] lbs =   [1/12] lbs. per person

Hey tin....can you just tell me all this story since I left...cuz your a hot minded muscular iron pillar who just writes so much that a great person like me can't read...so just update me the talk since I left....and btw can you write a bit less and btw....I'm a Mughal fan ok? And you don't know anything.....they are the most richest and graceful people............and a point to be noted.....I'm one of them...hehe

I assume we have....

1 / [2n^2] + 5 / [2n] = n - 2 /[n^2]      multiply through by 2n^2....this gives...

1 + 5n = 2n^3 - 4       rearrange

2n^3 - 5n - 5 = 0    this isn't factorable.....the only "real" solution occurs at about n = 1.946

No prob

whoaw you're a pro man, thanks 

Hallo sabi,

your way is not wrong.

2^(1 -4x) = 32       notice that 32 = 2^5 ....so we have....

2^(1-4x)  = 2^5       since we have bases the same, we can solve for the exponents......this gives....

1 - 4x   =  5       subtract 1 from both sides

-4x = 4     divide by -4 on both sides

x = -1

so my way is wrong?

$$\begin{array}{rcl}
3y+ax &=& 1 \qquad | \qquad x=\dfrac{1}{a-3}\\\\
3y + a\left( \dfrac{1}{a-3} \right) &=& 1\\\\
3y + \dfrac{a}{a-3} &=& 1 \qquad | \qquad \cdot(a-3)\\\\
3y \cdot(a-3) + a &=& a-3 \\\\
3y \cdot(a-3) + a &=& a-3 \qquad | \qquad -a\\\\
3y \cdot(a-3) + a-a &=& a-a-3 \\\\
3y \cdot(a-3) &=& -3 \qquad | \qquad :3\\\\
y \cdot(a-3) &=& -1 \qquad | \qquad : (a-3)\\\\
y &=& \dfrac{-1}{ a-3 }\\\\
y &=& \dfrac{1}{ -(a-3) }\\\\
y &=& \dfrac{1}{ -a+3 }\\\\
\mathbf{y} & \mathbf{=} & \mathbf{\dfrac{1}{ 3-a } }
\end{array}$$

Makes complete sense. Thx heureka! Applauses to you! 👏🏼👏🏼👏🏼

now lets get that base!

find a number divide by 1 2 3 4 5 6 7 8 10 and also divided by 13 17 and 19

$$2^3 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \cdot 19 =3~527~160$$

You are welcome Sabi :)

thanks to everyone)

15237331200

5b4c5 x 6b3c2 =

$$\begin{array}{rcl}
\mathbf{5b^4c^5 \cdot 6b^3c^2 }\\
&=& 5\cdot 6 b^4b^3c^5c^2\\
&=& 30 \cdot b^{4+3}\cdot c^{5+2}\\
\mathbf{5b^4c^5 \cdot 6b^3c^2 }& \mathbf{=} & \mathbf{30 b^7c^7}\\
\hline
\\
\end{array}$$

$$\\Log_e\left({\frac{1}{e^6}\right)\\\\
=Log_e\left({e^{-6}\right)\\\\
=-6Log_e\left(e\right)\\\\
=-6*1\\\\
=-6$$

Write the explicit formula that represents the geometric sequence -2, 8, -32, 128

$$\small{\text{$
\begin{array}{rcl}
t_1 &=& -2\qquad r = \dfrac{8}{-2}=-4\\\\
t_n &=& t_1 \cdot r^{n-1}\\\\
t_n &=& (-2) \cdot (-4)^{n-1}\\\\
t_n &=& (-2) \cdot (-4)^n\cdot (-4)^{-1}\\\\
t_n &=& (-2)(-4)^{-1} \cdot (-4)^n\\\\
t_n &=& \frac{-2}{-4} \cdot (-4)^n\\\\
\mathbf{t_n} & \mathbf{=} & \mathbf{ \frac{1}{2} \cdot (-4)^n }
\end{array}
$}}$$