All Answers 358154 Answers

$$cos(x)/sin(x)=cos(x)/sin(x)$$

This is true for all values of x except ofcourse sinx cannot=0 so x cannot equal any integer multiple of pi

The mongols conquering all of Asia sounds like a huge one to me!

There was a lot going on in South America with the Incas and Aztecs too perhaps.  :/

Come on anon, mathcad has answered in good faith.

We all learn from our errors :)

I am glad that you got involved mathcad :)

88,704 apples

THATS A HECK LOAD OF APPLES

Thanks anon,

I didn't know what that symbol meant :)

I still don't understand what the question is though. 

That would not work if it was a savoury pie :/

i just edite this post!anyone who wants or has an idea of when to implemet the thing pls comment!or message me!

The lines 3x+y=1 and 5x-y=15 intersect at the center of circle O. If the circle is tangent to the y-axis, find the equation of the circle.

$$\\
\small{\text{
(1. Line):
$
\begin{array}{rcl}
\\\\\\
3x + y &=& 1 \\
y &=& \underbrace{-3}_{m_1}x + \underbrace{1}_{b_1} \\
\end{array}
$}} \\
\small{\text{
(2. Line):
$
\begin{array}{rcl}
\\\\\\
5x - y &=& 15 \\
y &=& \underbrace{5}_{m_2}x \underbrace{-15}_{b_2} \\
\end{array}
$}}\\\\
\small{\text{
Intersection:
$
\begin{array}{lcl}
\boxed{
~x_{\rm{intersection}}=- \dfrac{\Delta b}{ \Delta m} = - \dfrac{b_1-b_2}{m_1-m_2} ~
}
\\\\\\
x_{\rm{intersection}}=- \dfrac{1-(-15)}{-3-5} = -\dfrac{16}{-8} = \dfrac{16}{8}= 2\\
y_{\rm{intersection}} = -3x+1 \\
y_{\rm{intersection}} = -3\cdot 2+1\\
y_{\rm{intersection}} = -6+1\\
y_{\rm{intersection}} = -5
\end{array}
$}}\\\\$$

$$\\\small{\text{
Circle center $(x_c,y_c):
\begin{array}{lcl}
\\\\\\
x_c=x_{\rm{intersection}}=2\\
y_c=y_{\rm{intersection}} = -5
\end{array}
$}}\\\\
\small{\text{
Circle radius $r:
\begin{array}{lcl}
\\\\
r= x_c=x_{\rm{intersection}}=2\\
\end{array}
$}}\\\\
\small{\text{
Circle formula:
$
\begin{array}{lcl}
\\\\
(x-x_c)^2+(y-y_c)^2=r^2\\
(x-2)^2+(y+5)^2=2^2=4\\
\end{array}
$}}$$

Pay = 0.05*Sales + 1,250

Pay = 0.05*350,000 + 1,250

Pay = 17,500 + 1,250

Pay = $18,750.00

What is the question?

(7*3/7+3) ÷ 4 ≠ 0  (multiply by 4)

7*3/7 + 3 ≠ 0

21/7 + 3 ≠ 0

3 + 3 ≠ 0

6 ≠ 0

So this expression is false. 

1% of 14 billion ------> 0.01 * 14,000,000,000 ---------> 140,000,000

If the numbers you list represent values of x then perhaps you are meant just to calculate corresponding values of y by substituting the numbes into the formula:

When x = 0  y = 2/3*0 - 1  so y = -1

When x = 3  y = 2/3*3 - 1 so y = 2 - 1  or y = 1

and so on, so you get a list of (x, y) pairs:  (0, -1), (3, 1) etc.

.

cos^2t*sint-sint = 0     t = ?

$$\boxed{
~\cos^2{(t)}\cdot \sin{(t)}-\sin{(t)}=0~
}\\\\
\small{\text{
$
\begin{array}{rcl}
\cos^2{(t)}\cdot \sin{(t)}-\sin{(t)} &=& 0
\qquad | \qquad \boxed{~ \cos^2{(t)} = 1-\sin^2{(t)} ~}\\
\left[ 1-\sin^2{(t)} \right] \cdot \sin{(t)}-\sin{(t)} &=& 0\\
\sin{(t)}-\sin^3{(t)} - \sin{(t)} &=& 0\\
-\sin^3{(t)} &=& 0\\
\sin^3{(t)} &=& 0 \qquad | \qquad \sqrt[3]{} \\
\sin{(t)} &=& \sqrt[3]{0}\\
\sin{(t)} &=& 0
\end{array}
$}}\\\\
\small{\text{
$
\begin{array}{rcl}
\sin{(t)} &=& 0 \\
t &=& \arcsin{(0)} \\
t &=& 0 \pm \rm{k}\cdot 360\ensurement{^{\circ}}
\end{array}
$}}\\\\\\
\small{\text{
$
\begin{array}{rcl}
\sin{(t)} = \sin{(180\ensurement{^{\circ}}- t)} &=& 0 \\
180\ensurement{^{\circ}}- t &=& \arcsin{(0)} \\
180\ensurement{^{\circ}}- t &=& 0 \\
t &=& 180\ensurement{^{\circ}} \pm \rm{k}\cdot 360\ensurement{^{\circ}}
\end{array}
$}}$$

$$\small{\text{
So~
$ t= 0 \pm k\cdot 180 \ensurement{^{\circ}} \qquad k = 0,1,2\cdots \in N
$}}$$

There is 9.5 weeks in 66 1/2 days. I hope this helps!

Without this form and teachers like Melody, Cphill, and Alan and many others, I would still be doing 6th grade math. I do 9th grade math now.

There are a lot of other cool things to read to read on this form, but this post has to be the biggest pile of BS I have ever read on here. Are you trying to be funny or are you just stupid?

12/15 = 20/b      cross-multiply

12b = 15*20

12b = 300        divide both sides by 12

b = 25

congrats Roman, but youre forgot to include me in the pack.

HOW COULD YOU ROMAN!? YOU BEAT ME BY 19 MINUTES IN CLASS! YOU BEAT ME! I HATE YOU(lies, I love titanium rome)! lol XD

and just to let you guys know, I'm Dawn, and I believe Heather mentioned me before

and yes, the Empire Of Royality will fall one day

there is a prophecy I found in the Battle Of The Loud Bangs, which was not too long ago while trying to conquer the OB Dolphins 2 years ago

and it isnt pretty how it would fall

4/3*3.14*3^3

this is pemdas people

lets get to work by releasing today's beasts. today, we're releasing dragons

first lets look for parenthesees

nope none

exponents

yup, 3^3

3*3*3=27

okay

now, we must do division/multiplication

division comes first

4 divided by 3, which equals:

1.3

now, we got to multiply 1.3*3.14, which equals=4.18666666667

now, we times that by 27, and then we got:113.04

the answer is 113.04

use pemdas next time

and dont even bring the excuse of your dear aunt sally

anyways, I'm done here!

lol

sometimes I take rants as the opposite of life threatening and just take it like this dude was just joking around

also, that girl who cant speak is not my rival. shes cool

HA! GOT EEEEEEM!!!!
also, that's Giona's job to keep hating on me, not you anon (unlike you, she's actually good at her job)

GOT EEEEM AGAIN!!!!!

If you agree with the special theory of relativity, Einstein states the a clock ticks slower if moving faster(physically). That was proven with an atomic clock. Now, I'll assume you understand $${\mathtt{E}} = {{\mathtt{mc}}}^{{\mathtt{2}}}$$, but if you don't, it's Energy (belonging to said object) equals the mass of it, times the speed of light, squared. Energy=Mass*The speed of light, squared. So, Einstein calculated that light moves at roughly 186,000 miles per second.

If you can double the speed of light, or even achieving it, you would most likely reach absolute hot, $${\mathtt{2.55}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{32}}}$$ degrees Fahrenheit, essentially messing you up. But, let's say that you survive absolute hot, and you DON'T die. Einstein's general theory of relativity states that time is different to all observers, so you would't be stopping time for everyone, just yourself, and you wouldn't be even stopping time, just making it seem very slow from your perspective. So you would have to be moving at around the speed of light. BUT WAIT, THERE'S MORE! Time isn't REAL. It's just some stuff made by man to keep track of things! It's not REAL! What I just said above could all be false! There might not even be a past, or a future! Ok, thats enough tinkering with the Matrix for now. Bye.    

               -Wow, that was deep. I like π.

I would like you to work your way through these tutorials

if you want an approximation, you can enter it into the calc like this.

437^(1/5)=

That is not nice anon, I suppose TR's ego is big enough to handle it though. 

Big egos are good for some things  

Well TR you have something in common with the girl that doesn’t speak English: You can’t write it. Maybe that’s why she beated you mosted of the timed.

You know maybe she can speak it, but pretends not to so she has a reason not to talk to you. I bet she makes good use of ear plugs too.