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But Alan, there are doubles in there :/

- 0 = + 0 = 0      all the same !

$${\mathtt{\,-\,}}\left({{\mathtt{8}}}^{{\mathtt{2}}}\right) = -{\mathtt{64}}$$ 

  $${\left(-{\mathtt{8}}\right)}^{{\mathtt{2}}} = {\mathtt{64}}$$

$${\frac{{\mathtt{35}}}{{\mathtt{50}}}} = {\frac{{\mathtt{7}}}{{\mathtt{10}}}} = {\mathtt{0.7}}$$

$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}{\left({\mathtt{0.7}}^\circ\right)} = {\mathtt{0.012\: \!217\: \!000\: \!835}}$$

$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}{\left({\frac{{\mathtt{35}}}{{\mathtt{50}}}}\right)} = {\mathtt{0.012\: \!217\: \!000\: \!835}}$$

$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}^{\!\!\mathtt{-1}}{\left({\mathtt{0.7}}\right)} = {\mathtt{44.427\: \!004\: \!000\: \!806^{\circ}}}$$

Hello anonymous!

The sum of what number is x  ??

x -14 = - 9

x = 5

Greetings from   :- )

Dragonlance wrote: "If I put the colon : in like Alan put in his then it do not work at all..."

I used Mathcad to do that calculation.  In Mathcad (and some other sorts of mathematical software, like Maple, for example)   :=  is used to represent assignment.  This is not the case for all calculational software, and it clearly doesn't work as an assignment operator in Desmos, where a simple  =  is all that is necessary.

. 

nCr(242797824,4) = 144799782100787625509125247069376

Can also write this as 242797824!/(4!*242797820!) = 242797824*242797823*242797822*242797821/4!

$${\frac{{\mathtt{242\,797\,824}}{\mathtt{\,\times\,}}{\mathtt{242\,797\,823}}{\mathtt{\,\times\,}}{\mathtt{242\,797\,822}}{\mathtt{\,\times\,}}{\mathtt{242\,797\,821}}}{{\mathtt{4}}{!}}} = {\mathtt{144\,799\,782\,100\,787\,625\,509\,125\,247\,069\,376}}$$

That's how many combinations there are.  I don't intend to list them all!

.

Is it the average acceleration that you are after?

If so, use v² = u² + 2as where v = final velocity, u = initial velocity a = acceleration and s = distance

Rearrange as:  a = (v² - u²)/(2s)

$${\mathtt{a}} = {\frac{\left({\left({\mathtt{2.5}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{6}}}\right)}^{{\mathtt{2}}}{\mathtt{\,-\,}}{\left({\mathtt{1}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{5}}}\right)}^{{\mathtt{2}}}\right)}{\left({\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{0.019}}\right)}} \Rightarrow {\mathtt{a}} = {\mathtt{164\,210\,526\,315\,789.473\: \!684\: \!210\: \!526\: \!315\: \!8}}$$

This is in m/sec²

.

LCM means Lowest Common Multiple

To find the LCM first find the prime factors of each number, then take the prime factors with the largest powers that occur and multiply them all together.  So:

Prime factors of 4:  2² 

Prime factors of 12:  2²*3

The highest power term with 2 is 2² and the highest power term with 3 is just 3, so we multiply 2²*3 to get 12.

This means the LCM of 4 and 12 is 12 itself.

Let me do a different example: suppose we want the LCM of 9 and 12:

Prime factors of 9:  3²

Prime factors of 12:  2²*3

Now we take 2² and multiply by 3² to get 2²*3² = 36

So 36 is the LCM of 9 and 12

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On the web2 calc ^ looks like $$x^y$$

How did you know that was the equation Chris :/

I guess it is just one of life's mysteries.  :)

Thanks Dragonlance,

The interpretation that Desmos has made there is really weird! 

It has interpreted the capital Y as a little x an the cpaital X as a little y.   How very strange!  

Thank you CPhill

I made a new post

Hi MathsGod1

 Yes, that is all correct!    

Umm let me see

$$\\4^2=16\\
\sqrt{16}=4\qquad $That is certainly true$\\
$But a square root is really a power of 1/2 so$\\
\sqrt{16}=16^{1/2}=4\\\\$$

I just had a thought, it will help you with equations too.  I think inverse is the right word  

6+5-5=6                  plus 5 is the inverse of minus 5

$$3*6\div 6 = 3$$        divide by 6 is the inverse of multiply by 6

$$(\sqrt{7})^2=7$$             square is the inverse of square root

$$\sqrt{17^2}=17$$               square root is the inverse of square

$$\\\sqrt[5]{12} =12^{1/5}\;\;and\;\;\\\\
(12^{1/5})^5=12^{5/5}=12\qquad $The power of 5 is the inverse of the fifth root$$

$$log_{10}10^7=7$$                   the log is the inverse of base number.  Again not wording this properly.

thank you so much!!!

If we just restrict ourselves to [0, 2pi], the sine will equal .5 at  pi/6 and 5p/6 rads

So we have....   (pi/4(x-6))= pi/6  →  pi/4 *x - 3pi/2  = pi/6  →    pi/4 * x  =  [5pi/3]/   →  x = [5pi/3][4/pi]

→  20/3

Also ....   (pi/4(x-6)) = 5pi/6 →  pi/4 *x - 3pi/2  = 5pi/6  → pi/4 * x = [7 pi/3] →  x = [7pi/3][4/pi]  →  28/3

The equation is:

(y - 5)^2 / 9  - (x - 4)^2/ 4  = 1         multiply both sides by 36

4(y - 5)^2  - 9(x - 4)^2   = 36       expand   

4(y^2 - 10y + 25) - 9(x^2 - 8x + 16)  = 36    simplify

4y^2 - 40y + 100 - 9x^2 + 72x  - 144  = 36

 4y^2  - 40y  -9x^2 + 72x - 80   = 0       to put in the proper form, multiply by -1 and rearrange

9x^2 - 4y^2 -72x + 40y + 80  = 0

Here's the graph of both forms......notice that they "overlay" each other......so......they are the same graph!!

I read your post Mathgod befor you delete it. I think about this and you are right it is spam. The questions may be a little different but that like putting different amounts of salt and pepper on BS and saying it is different BS.They ARE the same questions with different amounts of salt and pepper. It come from the same bull so it is the same BS.

Awesomeee you will not make a big brain muscle if Cphill lift all the weight and shovel all the manure. That mean you will not learn anything if CPhill do all your home work for you. You will not always have CPhill around to help you. CPhill cant be there when you take a real test. Only what he teach you can be there.

After CPhill show you how to do one or two of these you should know how to do it, and put your answer on there when you ask the question and then CPhill can tell you if you get it right or not and show you what you do wrong if you not get the right answer.

Hi Alan and Melody

When I put this equation in Desmos graph it show the parabola going up instead of side ways like Alan’s graph

It show it going up for all thes equations

X(Y)=Y^2-(10Y)+40

X=Y^2-(10Y)+40

Y=X^2-(10X)+40

it also do it when I leave out the X= part

If I put the colon : in like Alan put in his then it do not work at all. It give an exclamation point!

Can you please show me how to make this work in Desmos graph ?

Yes, that looks excellent MG,

I do want you to get used to checking your answers though.  It makes it easier for me to check as well!

For these number questions I want you always to run the question through the forum calc at the end so that we can both see that the answers are the same.   

New one:

$$1\frac{3}{4}\times 7 +8^2-6\div \frac{4}{10}$$

1\frac{3}{4}\times 7 +8^2-6\div \frac{4}{10}

I have not worked this one through so I have no idea how nicely it will turn out,it is probably horrible   

Note that Prime factors is only prime numbers.

E.g. 15 prime numbers are 15, 1, 3, 5

Prime factors of it . 5 is a prime number .  3 is a prime number . 1 is technically not a prime number and 15 isn't.