All Answers 359404 Answers

Hi Rosala,

Well if it is not a private matter then you probably should ask me to pass your message on.

OR

You can send a message to admin if you want.

And there is an email address under the 'about' tab at the top of the page. 

I am not sure if he will actually get your message though.

Ok you got me Chris.

Now yours really is more fun.

Look what you have done now.       

Did you know that greif tears have got more protein in them than 'onion' tears and one possible reason is that the protein acts like a sort of glue making the tears form perfect droplets and it also slows them rolling down the face.  Hence the protein increases the visual stimuli of tears.   People are hard wired to respond to tears.  So cave people who cried when they were greiving or in pain were likely to be looked after better and were hence more likely to survive then those that could not produce the tears.

It is just a theory. But I like it.  :)

How are my triple tears affecting you Chris.      

Is this what you mean?

$$4\times \left(\frac{3}{4}\right)^3\times \left(\frac{4}{7}\right
)^2\\$$

I have not done the rest but I will give you hints on where I would start.

2) Try expanding and simplifying first and see if that helps

3) Think of it as  ((y^3)^2-1^2) and go from there.

4) standard factorising

5) It is a difference of 2 squares.

you have a go and get back with what you have found/done.  We can take it from there.  :)

meow plus meow is mmeeooww , that is becoz we are putting the same variables together!

$$\\1)\\\\
8n(2n-1)-5(2n-1)(2n-1)\\
=8n(2n-1)+(-10n+5)(2n-1)\\
=(8n-10n+5)(2n-1)\\
=(-2n+5)(2n-1)\\
=(5-2n)(2n-1)\\$$

Have you tried to do these for yourself?

Sorry... 

Are you asking us to do it fast?

Do you know how rude that sounds?

28x²+24xy-27y²

I am looking for 2 numbers that add to 24 and multiply to  -28*27

a+b=24   and ab=-28*27

solving this simultaneously I get a and b are  -18 and 42

$$\\28x^2-18xy+42xy-27y^2\\
=2x(14x-9y)+3y(14x-9y)\\
=(2x+3y)(14x-9y)$$

B  

$$\\28x^2+24xy-27y^2-6x-9y\\
=(2x+3y)(14x-9y)-3(2x+3y)\\
=(2x+3y)(14x-9y-3)$$ 

There you go - just as well everyone wasn't in a narky mood.    

N=16 degrees 

Not anymore, it's not.........now.....MINE is more fun !!!!!!

there you go.

2 good approaches - 2 good answers.

CPhill's is a little more 'mathematical' than mine but mine's more fun. 

Using

N = 2000e^kt       where N is the number of bacteria at any time, t ≥ 0........

We need to solve for the constant k........and we're told that......  

4000 =2000e^k(.75)    divide both sides by 2000

2 = e^.75k                  take the natural log of both sides

ln2 =lne^.75k             and by a log property, we can write

ln2 =.75k (lne)           and lne = 1   ......so....

ln2 =.75k                 divide both sides by .75

k = ln2/.75

So, our function  is

N =2000e^(ln2/.75)t

And to find out when N = 32000, we have

32000= 2000e^(ln2/.75)t        divide both sides by 2000

16 = e^(ln2/.75)t                    take the ln of both sides

ln 16 = lne^(ln2/.75)t              and we can write

ln 16 = (ln 2/.75)t             divide both sides by ln2/.75

[ln16]/ [ln2/.75] = t =  3 hrs.

Triangle LMN has vertexes at L(-1, -6), M(1, -6), and N(1, 1). Find the measure of angle N to the nearest degree.

Let's translate N so that it lies at (0,0)...then L= (-2, -7) and M = (0, -7).....this will make the calculation of the distances easier.......

So NL = √(4 + 49) = √(53)

And NM = √49 = 7

And ML = √4 = 2

And LMN forms a right triangle, with angle NML = 90

So.....using the Law of Sines, we have

NL / sin 90 = ML / sin(LNM)

√(53) = 2/sin(LNM)

sin(LNM) = 2/√(53)

sin-1[2/√(53] = LNM ≈15.945° ≈ 16°

Usually with a calculator.

inverse sine is the same as arc sine

use the asin button.

add 11 to both sides first.

then divide both sides by 2   

Good one Chris :)))

What you do to one side you must do to the other.  The equation must stay balanced.

The order is more of less the opposite of PEDMAS order.

sqrt(519/pi)

or

sqrt(519)/pi

Just type the one that you want into the web2 calc on the home page. :)

Triangle LMN has vertexes at L(-1, -6), M(1, -6), and N(1, 1). Find the measure of angle N to the nearest degree. Answer D)

I.

$$\\ \overline{LM}=
\sqrt{
{[ (-1)-(1) ]}^2
+
{[ (-6)-(-6) ]}^2
}
=
\sqrt{
{( -2) }^2
+
{(0) }^2
}
=2 \\\\
\overline{MN}=
\sqrt{
{[ (1)-(1) ]}^2
+
{[ (-6)-(1) ]}^2
}
=
\sqrt{
{( 0 )}^2
+
{ (-7) }^2
}
=7 \\\\
\tan{(N)} = \dfrac{\overline{LM}}{\overline{MN}}=\frac{2}{7}\\\\
N=\tan^{-1}{(\frac{2}{7})} = 15.9453959009\ensurement{^{\circ}}\approx 16\ensurement{^{\circ}}$$

The answer is D) $$16\ensurement{^{\circ}}$$

a^2+ab = 15    →  b = (15- a^2)/a

2b^2 = 20 - 2ab  →   b^2 = 10 - ab   →  [(15 - a^2)/a]^2 = 10 - (15 - a^2)   →

(15 - a^2)^2 = a^2(a^2 - 5)   →

225 - 30a^2 + a^4 = a^4 - 5a^2    →

-25a^2 + 225 = 0

25a^2 - 225 = 0

a^2 - 9 = 0

(a + 3) (a - 3) = 0

a = -3  a = 3

b = -2  b = 2

Then....... -3 + -2 = -5

Play nice, Melody.....!!!!!

A tangent is a guy who has gotten too much sun at the beach.......