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2*2  x  2*1   is doable because the 2 middle numbers are the same.  and the resultant matrix will be 2*1 (the outer numbers.  

$$\begin{pmatrix}
1 &2 \\
3 & 4
\end{pmatrix}
\times %
\begin{pmatrix}
5 \\
6
\end{pmatrix}
=%
\begin{pmatrix}
1*5+2*6 & \\
3*5+4*6 &
\end{pmatrix}
=%
\begin{pmatrix}
17 \\
39
\end{pmatrix}$$

It probably means that your answer is in scientific notation.

So

2.45     +06      may mean    $$2.45\times 10^6$$

YES I agree!

if the frequency of an electromagnetic raditaion is 7.5x10^10Hz what is the wavelength ?

$$Hz = \frac{1}{s}$$

$$\text{speed of light: } c = 299 792 458 \ \frac{ m }{ s }
= 0,0299792458 * 10^{10}\ \frac{ m }{ s }$$

$$\text{frequency : } f = 7,5 * 10^{10}\ \frac{ 1 }{ s }$$

$$\text{wavelength: } \lambda = \dfrac{ c }{ f }
=
\frac { 0,0299792458 * 10^{10}\ \frac{ m }{ s } }
{7,5 * 10^{10}\ \frac{ 1 }{ s } }
=
\frac { 0,0299792458 } { 7,5 } \ m =0.00399723277\ m$$

the wavelength is 0.00399723277 m   or   $$3.99723277 * 10^{-3} \ m$$

The Associative Property, also called the "grouping property," works for addition and multiplication expressions. It states that the order you group terms in an equation does not affect the answer. For example:

For addition:

$${\mathtt{a}}{\mathtt{\,\small\textbf+\,}}\left({\mathtt{b}}{\mathtt{\,\small\textbf+\,}}{\mathtt{c}}\right) = \left({\mathtt{a}}{\mathtt{\,\small\textbf+\,}}{\mathtt{b}}\right){\mathtt{\,\small\textbf+\,}}{\mathtt{c}}$$

Or:   $${\mathtt{2}}{\mathtt{\,\small\textbf+\,}}\left({\mathtt{3}}{\mathtt{\,\small\textbf+\,}}{\mathtt{4}}\right) = \left({\mathtt{2}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3}}\right){\mathtt{\,\small\textbf+\,}}{\mathtt{4}}$$

In multiplication:

$${a}{\left({\mathtt{bc}}\right)} = {\mathtt{ab}}{\mathtt{\,\times\,}}{\mathtt{c}}$$

Or:  $${\mathtt{2}}{\mathtt{\,\times\,}}\left({\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{4}}\right) = \left({\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{3}}\right){\mathtt{\,\times\,}}{\mathtt{4}}$$

okay, I misunderstood the question.  Sorry.

Your pictures are not displaying for me.  

An expression.

If it were an equation, you could solve for x.

4x+x^2 can also be written as:

x^2+4x

or factored as:  

x(x+4)

Well, if you show work, you will most likely have to do the problem:)

9/4 as a decimal is 9 divided by 4.

4 * 2 = 8, with a remainder of 1.

1/4 = 0.25

So 9/4 = 2 + 0.25

= 2.25

Now see if you can write 2/13 as a decimal. I would assume you can round it to the nearest hundredth or thousandth:)

First, calculate (1/3) * 5.

=  $$\left({\frac{{\mathtt{1}}}{{\mathtt{3}}}}\right){\mathtt{\,\times\,}}\left({\frac{{\mathtt{5}}}{{\mathtt{1}}}}\right)$$

The 1's cross-cancel.

=  5/3 , which is an improper fraction.

First write that as an equation:

(1/5)x - 12 = -7

Then solve it.

(1/5)x = -7 + 12

(1/5)x = 5

x = 5/(1/5)

x = 5 * 5

x = 25

What do you mean by compatible number?

Can you give me an example?

Find the LCM of 8, 3, 4 ?

Least Common Multiple, you need the prime factorization:

$$\mbox{prime factorization} \\\\
\begin{array}{rccccc}
8 =& 2^{\textcolor[rgb]{1,0,0}{3}}\ *& 3^0\\
3 =& 2^0 \ *& 3^{\textcolor[rgb]{1,0,0}{1}}\\
4 = & 2^2 \ *& 3^0\\
\hline
\mbox{in each case the biggest exponent}
& 2^{\textcolor[rgb]{1,0,0}{3}}
\ *& 3^{\textcolor[rgb]{1,0,0}{1}}
&= 24 = LCM \\
\end{array}$$

LCM of 8, 3, 4

24= 3 * 8

24= 8 * 3

24= 6 * 4

Is this the second time you posted this?

I'm sorry I did intend to look at it before.  

Can you mark the other one as done please when you get this answer.

$$log(2x)+logx^2-log4\\\\
=log(2x\times x^2\div 4)$$

and you can finish it.     

$$log (9a) - Log (3a^{2}) + log 3 + log a\\
=log(9a\times 3a \div (3a^2))$$

and you can finish it       

No. She wants to change 112 into a compatible number, and she wants to change 88 into a compatible number.

Hi Bumblebee,      

I am not sure what you mean.  These are all EQUIVALENT expressions.

112÷88

$${\frac{{\mathtt{112}}}{{\mathtt{88}}}} = {\frac{{\mathtt{14}}}{{\mathtt{11}}}} = {\mathtt{1.272\: \!727\: \!272\: \!727\: \!272\: \!7}}$$

that is       $$1.\overline{27}$$       or in Australia it is written as      $$1.\dot2\dot7$$

also

$$\frac{112}{88}=\frac{56}{44}=\frac{28}{22}=\frac{14}{11}=1\frac{3}{11}$$

find the intercepts and use them to graph the equation

$$\begin{array}{rcl}
y & = & 3x+3 \quad | \quad -3x\\ \\
y-3x &=& 3 \quad | \quad :3\\ \\
\frac{y-3x}{3} &=&1\\\\
\frac{y}{3} + \frac{-3x}{3} &=&1\\\\
\frac{y}{3} + \frac{-x}{1} &=&1\\\\
\frac{y}{3} + \frac{x}{-1} &=&1\\\\
\frac{x}{-1} + \frac{y}{3} &=&1
\end{array}$$

$$\boxed{\dfrac{x}{ x_{intercept} } + \dfrac{y}{ y_{intercept} } &=&1 }\\\\
x_{intercept} = -1\\
y_{intercept} = 3$$

To find the answer to square roots, you have to find a number that can be multiplied again to find the answer.

$${\mathtt{Example}}$$

 $$\sqrt16=4\\\\\sqrt9=3\\\\\sqrt100=10$$ $$4*4=16\\\\3*3=9\\\\10*10=100$$

There are many more examples, but these are popular.

4 is the answer for the square root of 16.

Good job DS...I gave you some points....yep....you should always give yourself a point for a good answer....!!!!

Nope! But great answer!

This is a rather voluminous subject....here's some stuff from Purplemath.......easy to understand......

Because he gets to serve a a lot.

I would have thought he'd had enough of that in his day job!   

Do I give myself 1 point? We shall build planes from your help queen!

king Arthur took out the sword that was stuck on stone, and only he could take it out.

Yay! Thank you Melody!

I have 3 or more answers for you. 

1. try putting the music in a different format

2. If above doesnt work then buy another one

3. if all fails throw it away and get a mp3 player. 

:D~