All Answers 358108 Answers

Yes it is

I kind of like it, too......short, and to the point......!!!

Hey.....I've posted something like this before....it really doesn't help, but I understand your frustration......it is very annoying......either go past them,  give them the answer, or give them a stupid response

Curb those homicidal tendencies, SevenSins.......those ridiculous questions will always find us, somehow...

h7.....haha....I like the nickname

Good job, h7  !!!!

I respect this site but people need to stop posting stupid questions. Obiously the answer is 12, BTW happy im not going off on you. But this is rediculous 10 + 2... If you cant figure it out, but you can type full sentances than your somthing special!

$${\mathtt{160\,000}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{3}}}{{\mathtt{4}}}}\right) = {\mathtt{120\,000}}$$

There

A lot of drinks????  I wonder how you hold that many bottles in one hand......

Thank you, got it now

target number 150

5,6,4,12,19

$$150 = 12 *( 19 - 5 - \dfrac{6}{4} )$$

$$150 = 6+ 4*(5+12+19)$$

$${\mathtt{5}}{\mathtt{\,\times\,}}{\mathtt{6}}{\mathtt{\,\times\,}}{\mathtt{4}}{\mathtt{\,\small\textbf+\,}}{\mathtt{19}}{\mathtt{\,\small\textbf+\,}}{\mathtt{12}} = {\mathtt{151}}$$

Now we have one less, one more, and one right on

I cannot say I do.....I don't......

$95 a night × 2 night + 12% tax how much does the price come out to be?

The cost will be  95*2

The tax will be    12/100*(95*2)

add them together and you will have the total 

You can use the calc on the home page.  :)

(a) x^3 + 6x^2 = 9x -2 on (0, 0.5)

$$x^3+6x^2-9x+2=0$$

If I look at the function 

$$f(x)=x^3+6x^2-9x+2$$

then when f(x)=0     the original polynomial will equal zero (because they are equal to each other)

$$\\f(0)=0^3+6*0^2-9*0+2=+2\\\\
f(0.5)=0.5^3+6*0.5^2-9*0.5+2\\$$

$${{\mathtt{0.5}}}^{{\mathtt{3}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{6}}{\mathtt{\,\times\,}}{{\mathtt{0.5}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}{\mathtt{9}}{\mathtt{\,\times\,}}{\mathtt{0.5}}{\mathtt{\,\small\textbf+\,}}{\mathtt{2}} = {\mathtt{\,-\,}}{\frac{{\mathtt{7}}}{{\mathtt{8}}}} = -{\mathtt{0.875}}$$

So f(0) is positive and f(0.5) is negative so for some value of x between 0 and 0.5  the function will be 0.

hENCE THERE MUST BE A ROOT BETWEEN X=0 AND X=0.5

I am not sure that that is the presentation that you want, but it certainly is the jist of it.  :)

You should be able to do the others yourself now   

@@ End of Day Wrap       Mon 24/11/14       Sydney,   Australia     Time 11:35 pm          ♬

Hi everbody,

I have hardly been on the forum at all today  but I think most questions are answered and I have done my normal 'housekeeping'  

Our great answers were provided by geno3141, CPhill, Heureka, robtre, Alan, TakahiroMaeda, Stoltini and Mr Balloon.  Thanks you.   

Here are some interest posts:

1) Probability   Thanks Geno and anon.

Use the site calc on the home page

I don't understand your expression.  Perhaps you can use brackets for the top and bottom of the fractions. and use a / sign between them to indicate a fractions

eg

$$\frac{x+1}{5-2y}$$

would be written as (x+1)/(5-2y)

The count of bacteria in a culture was 800 after 10 minutes and 1800 after 40 minutes. What was the initial size of the culture?

$$\boxed{b = b_0 * a^{t} } \\\\
b = bacteria \\
b_0=bacteria_{Initial size} \\
t= time\\
\begin{array}{lrcl}
\hline
(1) & 800 & = & b_0 * a^{10} \quad | \quad t = 10 \quad b = 800\\
(2)& 1800 & = & b_0 * a^{40} \quad | \quad t = 40 \quad b = 1800 \\
\hline
\end{array}$$

$$(2):(1) \quad \frac{1800}{800} = \frac{b_0*a^{40} } {b_0*a^{10} }\\\\
\frac{18}{8} = \frac{a^{40} } {a^{10} } = a^{40-10}=a^{30} \quad| \quad \sqrt[30]{}\\\\
\boxed{a=\sqrt[30]{ \frac{18}{8} }} \\\\
(1) \quad b_0 = \dfrac{800}{a^{10}}
=
\dfrac{800}
{
\left(\sqrt[30]{ \frac{18}{8} }\right)^{10}
} }
=
\dfrac{800}
{
\left( \frac{18}{8} }\right)^{\frac{10}{30}}
} }
=
\dfrac{800}
{
\left( \frac{18}{8} }\right)^{\frac{1}{3}}
} }
=
\dfrac{800}
{
\frac{ \sqrt[3]{18} } { \sqrt[3]{8} }
}
=
\dfrac{800}
{
\frac{ \sqrt[3]{18} } { \sqrt[3]{2^3} }
} \\\\
=
\dfrac{800}
{
\frac{ \sqrt[3]{18} } { 2 }
} =
\dfrac{1600}{ \sqrt[3]{18} } = 610.514262695$$

the initial size of the culture is 610.514262695

Tues 24/11/14

1) Fun with complex numbers - two different solution methods  

A trader wants to sell 100 outdated shirts. I t was able to sell 43 at the original price. Itthen grants a discount of €1 per shirt and thus sells 17. He liquid the rest €1.5 unity.Calculate the initial price of a shirt, knowing that he has cashed in all €1 243?

Let P be the original price

43P+17(P-1)+(100-43-17)1.5 = 1243

I think that this is the equation that you need to solve.

-------------------------

Well you could do it that way

$$\sqrt6$$

You could type in 

sqrt(6)    or  6^(1/2)    or   6^(0.5)

or you could press the     $$\sqrt{x}$$     button and then 6=

I always do thes by deciding the correct quadrant

then draw the equivalent acute angle

Find the other side using pythagoras

Read the tan value off the triangle

Insert the correct sign.

There are 3 even numbers, so probability of even or 5 is (3+1)/6 = 4/6 = 2/3

.

Good spotting Takahiro   :))