All Answers 358523 Answers

What about 1 happy?

It is a complex number

the real bit is 7/2

The imaginary part is -3i

C=atan(1.5/0.82)

atan is the same as inverse tan.

$$\begin{array}{rll}
Y+(((Y*12\%)/12)\times 8)&=&8812800\\
Y+(((Y*12/100)/12)\tinmes 8)&=&8812800\\
Y+(\frac{Y*12}{100}\times \frac{1}{12}*8)&=&8812800\\
Y+(\frac{Y}{100}\times8)&=&8812800\\
Y+\frac{8Y}{100}&=&8812800\\
Y+12.5Y&=&8812800\\
13.5Y&=&8812800\\
Y&=&8812800/13.5
\end{array}$$

$${\frac{{\mathtt{8\,812\,800}}}{{\mathtt{13.5}}}} = {\mathtt{652\,800}}$$

My vote goes to anon :))

$${\mathtt{9\,191}} \,{mod}\, {\mathtt{79}} = {\mathtt{27}}$$$${\mathtt{5}} \,{mod}\, {\mathtt{2}} = {\mathtt{1}}$$

the remainder is 1

Hi Lancelot.  

b=(1+7/8)/(5/6)

you can finish it on the site calc onthe home page. :)

I am not sure what you mean.

If this is for a scale drawing where 60cm of drawing represents 1m of real life measurement then

the scale is 60:100  

this can be simplified down to 6:10  or  3:5

If the scale drawing measures 6cm you could mult this by 100/60 to get the real life equivalent of 10cm

If the scale drawing measures 2.6cm you could mult this by 100/60 to get the real life equivalent of 

$${\mathtt{2.6}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{100}}}{{\mathtt{60}}}}\right) = {\frac{{\mathtt{13}}}{{\mathtt{3}}}} = {\mathtt{4.333\: \!333\: \!333\: \!333\: \!333\: \!3}}$$         

that is 4.33cm

does that help?

1/2 * 2 -3=1-3=-2

So you start off with 42 houses.

Subtract ((2/3) * 42) first:

$${\mathtt{42}}{\mathtt{\,-\,}}\left({\frac{{\mathtt{2}}}{{\mathtt{3}}}}{\mathtt{\,\times\,}}{\mathtt{42}}\right) = {\mathtt{14}}$$

Now subtract ((3/7) * 14):

$${\mathtt{14}}{\mathtt{\,-\,}}\left({\frac{{\mathtt{3}}}{{\mathtt{7}}}}\right){\mathtt{\,\times\,}}\left({\mathtt{14}}\right) = {\mathtt{8}}$$

Final answer: 8 houses:)

$${\frac{{\mathtt{1}}}{{\mathtt{7}}}} = {\mathtt{0.142\: \!857\: \!142\: \!857\: \!142\: \!9}}$$

0.14285714285714285714|28571

0.33333333333333333333|33333

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When you add these the 20th significant figures will be 4 an 3 respecively

their sum will be 7

It is a ratio.

If you have 8 apples and you get 5 and your friend gets 3

then they have been split between you and your friend in the ratio 5:3      (5 to 3)

Chris, I have looked at your set up logic (as requested) and it all looks really good to me :)

Do you just want a calculator approximation?

square root of 1.728 x 3Square Root of 8

Type it into the the site calc on the home page like this

sqrt(1.728)*3*sqrt(8)  and then press the equal sign  

You can do this on the calc on the home page.

put it in like this

(4/5)*(1+1/6)  and then press the equal sign    

I think it will answer as a fraction and a decimal, but you may need to press equals twice, I am not sure.

Yes that is why I went throug the checking proceedure.  I don't normally do that I usually figure that the asker can check for themselves.  :))   Thanks for the points :)

Nice job, Melody.....I did this one and got the same answers as you, but the results seemed so screwy that I thought I was making mistakes....LOL!!!

I can't have you and your boy friend being haunted for ever! LOL

$$\\a_n=a_1 r^{n-1}\\\\
a_9=29625\\
a_{14}=145\\
$find $t_{18}\\\\$$

You do this with simultaneous equations

$$\\a_1r^{13}=145\qquad so \qquad a_1=\frac{145}{r^{13}}\\\\
a_1r^{8}=29625\qquad so \qquad a_1=\frac{29625}{r^{8}}\\so\\
\frac{29625}{r^{8}}=\frac{145}{r^{13}}\\\\
\frac{r^{13}}{r^{8}}=\frac{145}{29625}\\\\
\frac{r^{13}}{r^{8}}=\frac{145}{29625}\\\\
r^5=\frac{145}{29625}\\\\
r^5=\frac{29}{5925}\\\\
r\approx 0.3451\qquad $correct to 4 decimal places$\\\\\\
a_1=\frac{29625}{r^{8}}\\\\
a_1\approx \frac{29625}{0.3451^{8}}\\\\
a_1\approx 147 264 709\\\\$$

check

$${\mathtt{147\,264\,709}}{\mathtt{\,\times\,}}{{\mathtt{0.345\: \!1}}}^{{\mathtt{8}}} = {\mathtt{29\,624.999\: \!922\: \!546\: \!973\: \!785\: \!9}}$$   that is near enough to 29625

$${\mathtt{147\,264\,709}}{\mathtt{\,\times\,}}{{\mathtt{0.345\: \!1}}}^{{\mathtt{13}}} = {\mathtt{145.005\: \!058\: \!994\: \!920\: \!558\: \!8}}$$    and that is near enough to 145  

e^(.01 x 100 = e^(.1) = 1.1051709180756476

So

70000 x 1.1051709180756476 = 77361.96

"Of" means multiply...so we have

1/4 x 1/2 x 1/5 x 200  =

1/40 x 200 =5

1) don't ask on a math forum.

2) that's it