All Answers 358098 Answers

Integers ARE whole numbers.  Both negative and positive as well as zero.  

I always work it out from scratch.

$$\\\pi\; radians = 180degrees\\
1\; radian = 180/\pi\\
x \;radians=180x/\pi \\\\
\boxed{x \;radians=\frac{180x}{\pi}\: degrees}$$

yes!!!

6485 sq feet

$$\boxed{(x+8)(x+2)=279}
\\
\hline
\begin{array}{rcl}
x^2+2x+8x+16&=&279\\
x^2+10x-279+16&=&0\\
x^2+10x-263&=&0
\end{array}
\hline$$

$$x_{1,2}=
\dfrac{
-10\pm\sqrt{10^2-4(-263)}
}
{2} \\\\
x_{1,2}=-5\pm\sqrt{25+263} \\
x_{1,2}=-5\pm\sqrt{288} \\
x_{1,2}=-5\pm\sqrt{144*2} \\
x_{1,2}=-5\pm12\sqrt{2} \\
}
\boxed{
x_1 = -5+12\sqrt{2} = 11.9705627485 \qquad x_2 = -5-12\sqrt{2} = -21.9705627485}$$

Please, add more detail. Do you need to simplify it? Find 3 possible solutions? Write it as a linear equation?

About 6000 are Torres Strait islanders, so 6000/8000 = 3/4 are islanders.  3/4 = 75%.

If you are looking for the number of possible combinations then there are 50 for the first tumbler; for each of these there are 50 for the second; for each of all of these there are 50 for the third.  Therefore in total there are 50*50*50 = 125000.

Fraction = 2.79/9

Percentage = fraction*100 = 2.79*100/9 = 279/9 = 31%

The first statement means if you are far away (an infinite distance) from a charged particle (say) then the electric potential due to that particle is insignificant (zero).

For the second statement I can't see the image - it only appears as an icon in my browser.

This can be solved in the Equations part of the calculator on the home page of this site.

$$\left({\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{8}}\right){\mathtt{\,\times\,}}\left({\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{2}}\right) = {\mathtt{279}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = {\mathtt{\,-\,}}{\mathtt{3}}{\mathtt{\,\times\,}}{{\mathtt{2}}}^{\left({\frac{{\mathtt{5}}}{{\mathtt{2}}}}\right)}{\mathtt{\,-\,}}{\mathtt{5}}\\
{\mathtt{x}} = {\mathtt{3}}{\mathtt{\,\times\,}}{{\mathtt{2}}}^{\left({\frac{{\mathtt{5}}}{{\mathtt{2}}}}\right)}{\mathtt{\,-\,}}{\mathtt{5}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = -{\mathtt{21.970\: \!562\: \!748\: \!477\: \!140\: \!6}}\\
{\mathtt{x}} = {\mathtt{11.970\: \!562\: \!748\: \!477\: \!140\: \!6}}\\
\end{array} \right\}$$

Possibly like this: 

((e^x-e^(-x))/2)^2-1

$$\left(
\dfrac{e^x-e^{-x}}{2}
\right) ^2
-1
=\sinh^2{x}-1 = \cosh^2{x}-2
=
\left(
\dfrac{e^x+e^{-x}}{2}
\right) ^2
-2
\\\\
( \cosh^2{x}-\sinh^2{x} =1 )$$

OK, Melody...that was going to be my method, too....I just wondered if ND used something else....

Just like this:

(4/5) x (3/2)........then, just hit your Enter key or "=" on the calculator

x^2+2x-1=9    subtract 9 from both sides

x^2 + 2x - 10 = 0

This won't factor, but we do have two real solutions....we can use the onsite calculator to solve or complete the square. The onsite calculator is easier....!!!

$${{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{10}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = {\mathtt{\,-\,}}{\sqrt{{\mathtt{11}}}}{\mathtt{\,-\,}}{\mathtt{1}}\\
{\mathtt{x}} = {\sqrt{{\mathtt{11}}}}{\mathtt{\,-\,}}{\mathtt{1}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = -{\mathtt{4.316\: \!624\: \!790\: \!355\: \!399\: \!8}}\\
{\mathtt{x}} = {\mathtt{2.316\: \!624\: \!790\: \!355\: \!399\: \!8}}\\
\end{array} \right\}$$

-1/4(x-8)+1/8(x+8)=x-5   multiply everything by 8 to clear the fractions

-2(x-8) + (x-8) = 8(x-5)   distribute across the terms in the parentheses

-2x + 16 + x - 8 = 8x - 40    combine like terms

-x + 8 = 8x - 40    subtract 8x, 8 from both sides  

-9x = -48   divide by -9 on both sides

x = 48/9 = 16/3

If f(θ) = 2 sinθ - sin θ/2, find f(π/3)

2sin(π/3) - sin[(π/3)/2] =

2(√3/2) - sin(π/6) =

√3 - 1/2 =

[2√3 - 1] / 2

 f(θ) = 2 sinθ - sin θ/2    $$f(\dfrac{\pi}{3}) \quad ? \qquad \Theta = \dfrac{\pi}{3}$$

$$\sin{ \Theta } = \sin{ \dfrac{\pi}{3} }
= \dfrac {1}{2}\sqrt{3}$$

$$\sin{
\dfrac{\Theta}{2}
}
= \sin{
\left(
\dfrac{\pi}{3}*\dfrac{1}{2}
\right)
}
= \sin{
\dfrac{\pi}{6} }
= \dfrac {1}{2}$$

$$f(\dfrac{\pi}{3}) =
2*\dfrac {1}{2}\sqrt{3}
-\dfrac {1}{2}$$

$$f(\dfrac{\pi}{3}) =
\sqrt{3}-\dfrac {1}{2}
=1.2320508075688773$$

30/100*500000 dollars and you can finish it on the site calc on the home page. 

$$\begin{array}{rll}
24(4x-16)&=&288\\\\
\frac{24(4x-16)}{24}&=&\frac{288}{24}\\\\
4x-16&=&12\\\\
4x-16+16&=&12+16\\\\
4x&=&28\\\\
4x/4&=&28/4\\\\
x&=&7\\\\
\end{array}$$

First....divide both sides by 24...this gives us

4x - 16 = 12  add 16 to both sides

4x = 28   divide both sides by 4

x = 7

the fith root of 1.37

$$\sqrt[5]{1.37}\\
=1.37^{1/5}\\
=1.0649865...\\
=1.065 \;\; to\;3\;decimal\;places$$

I see. Yep, birthdays are great! Packed with lots of fun and happiness!