All Answers 358468 Answers

$$8^2-(\ 16 *\ \left[\ \frac{75}{(5*3)}+\sqrt{9}\ \right]+5^2 \ ) = 84 - 153 = -89$$

-2^2 = -4

(-2)^2 = +4

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#1:

$$\frac{1\ \text{Pound} }{\$ \ 3} * \$ \ 10 = \frac{10}{3}\ \text{pounds} = 3.33 \ \text{pounds}$$

#2:

$$\frac{\$ \ 0.50}{1\ \text{Pound} }* 5.5\ \text{pounds} = \$ 2.75 \quad \text{ Gary has \$ 2.75 }$$ 

#3:

$$\frac{1\ \text{Pound} }{\$ \ 1.25} * \$ \ 3 = 2.4 \ \text{pounds} \qquad \text{ She will no be able to buy 2.5 pounds of onions!}$$

Infinity divided by any finite number is still infinity!

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You would generally apply the rule to the final result.

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Part 2:  Gary has no more than $2.75  (because he can buy at most 5.5pounds of potatoes)

Part 3: 2.5 pounds of onions cost 2.5*$1.25 = $3.125, which is more than Florence wants to spend.

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$$2^{-2}=\frac{1}{2^2}=\frac{1}{4}$$

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Yes Tenacious, you are not ready for a binomial expansion just yet.  :))

Do the whole number part first:  4 + 3 = 7

Now do the fractions: 4/10 + 9/10 = 13/10  This is 1 3/10.

Add this to 7 to get 8 3/10

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I assume you want to find the length of the diagonal of the rectangular roof.  This is done using Pythagoras's theorem with a = 40, b = 20.  So c, the length of the diagonal is:

$${\mathtt{c}} = {\sqrt{{{\mathtt{40}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{20}}}^{{\mathtt{2}}}}} \Rightarrow {\mathtt{c}} = {\mathtt{44.721\: \!359\: \!549\: \!995\: \!793\: \!9}}$$

or c ≈ 44.7 feet

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0.000078 is 78x10^-6 in engineering notation.

Engineering notation is a little like scientific notation except that the power to which 10 is raised is must be a multiple of 3.

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Parallel lines have the same slope..let's put both equations in the form  y = mx + b, where "m" is the slope of the line......so we have

x-y+1=0  →  y = x + 1

6x-6y+7=0 → 6y = 6x + 7 → y = x + 7/6

And since the coefficient in front of both "x's" in the two equations is the same (an understood "1" )...the slopes are the same ....thus....they are parallel...

Don't worry about it, saseflower.....you just made a slight error when you combined -6x and -16x .....I gave you points for a good effort...

[Also, where did the "173" come from ??? ]

172 = -6x - 4(4x - 10)   distribute the "-4 " over the terms in the parentheses

172 =-6x - 16x + 40     combine like terms on the right

172 = -22x + 40           subtract 40 from both sides

132  = -22x                  divide by -22 on each side

-6 = x

Calculate the gravitational field strength on the moon.

$$\small{\text{Newton's Law of Gravitation: }} F=\boxed{G*\frac{m_1*m_2}{r^2}=m_2*g}\\
\small{\text{$
g_{moon}=G*\dfrac{m_{moon}}{r_{moon}^2}
\qquad G= 6.673 * 10^{-11} * \frac { N*\ m^2 } { kg^2 }
\qquad m_{moon}=7.349*10^{22}\ kg
\qquad r_{moon}=1.738*10^6\ m
$
}}\\\\
\small{\text{$
g_{moon}=6.673 * 10^{-11}*\dfrac{ 7.349*10^{22} }{ (1.738*10^6)^2}* \frac{N*\ m^2 *\ kg
}{ kg^2*\ m^2 }
= \dfrac{ 6.673*7.349 * 10^{-11+22-12}} { 1.738^2 } * \frac { N } { kg }
$
}}\\\\
\small{\text{$
g_{moon}= \dfrac{ 6.673*7.349 * 10^{-1}} { 1.738^2 } * \frac { \dfrac{kg*\ m }{s^2} } { kg }
$
}}\\\\
\small{\text{$
g_{moon}= 1.62349078541 * \dfrac{ m }{s^2}$
}}$$

Nice graphics, Mel ....!!!

Yeah, Melody.....weird and strange things do abound in the world....

Consider the "poiuyt," below  ....[courtesy of my good friend, Alfred E. Neuman ]

Wed 21/1/15

1) I'm a dancing dinosaur  ROF LOL     

According to "The Hitchhiker's Guide to The Galaxy" by Douglas Adams....it's the number 42....

[I guess i'm going to have to break down and get a copy from my local library....I seem to be one of the few people I know who aren't "hip' to this....]

And I hate being "un-hip".....LOL!!!

Well now - that is just plain weird.   LOL

$${{\mathtt{8}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}\left({\mathtt{16}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{75}}}{\left({\mathtt{5}}{\mathtt{\,\times\,}}{\mathtt{3}}\right)}}{\mathtt{\,\small\textbf+\,}}{\sqrt{{\mathtt{9}}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{5}}}^{{\mathtt{2}}}\right)\right) = -{\mathtt{464}}$$

can anyone help me? thank you very much for your answer.

Ahh, thanks guys!

3.2546125461254613  = 3.2546125461254613 x 10⁰

[Note....we didn't have to move the decimal point at all.....thus, the "0" exponent on 10 !!]