Melody

Thanks Geno, I always forget that one. :)

Geno,

I was looking at this one from yesterday, maybe from the same guest, i haven't worked it out yet.

Maybe you would like to take a look.  :)

-1.2   is the answer

The factors of what is the factor of (a+b)(a^2-ab+b^2)

are  1, (a+b)(a^2-ab+b^2), (a+b) and (a^2-ab+b^2)

so there are 4 factors but normal we take the first 2 for granted and don't worry about them much

so the factors are

(a+b) and (a^2-ab+b^2)

best way probably is 

(3+1/4)

obviously you no longer want an answer :/

Hi mathmeme

\(\mu\quad and \quad C \quad \text{are both constants}\\ Let \quad U(\theta) \text{ be referred to as U}\)

So we have:

\(U=\frac{\mu C}{\mu sin(\theta)+cos(\theta) }\\ U=\mu C(\mu sin(\theta)+cos(\theta) )^{-1}\\ \frac{dU}{d\theta}=-\mu C(\mu sin(\theta)+cos(\theta) )^{-2}(\mu cos(\theta)-sin(\theta))\\ \frac{dU}{d\theta}=\frac{-\mu C(\mu cos(\theta)-sin(\theta))}{(\mu sin(\theta)+cos(\theta) )^{2}}\\ \text{When }U'=0\\ -\mu C(\mu cos(\theta)-sin(\theta))=0\\ \mu cos(\theta)=sin(\theta)\\ \mu=tan(\theta)\)

Trouble is this could give a minimum or a maximum.

I did a graph in Desmos and found that  mu = tan(theta)  gives both the minimum and the maximum degree of happiness.

Here is the graph:

Do you mean measuring with a protractor?

Here is one video showing you.

What do you mean by

Repetition is not allowed but digits can be used more than once? 

If no one ever died we would have used up all the worlds resources long ago unless perhap no one was ever born andThat sounds like a very uninteresting stagnant world :/

I got a math test back and the question was 5000(0.04)(0.0833) i got 16.66 but it was marked wrong she said it should have been 16.67 and that i just rounded wrong. i have tried on every calculator i have and i still only get 16.66 . I lost a point off my test for this and she wont admit that she maybe wrong and just blammed it on my calculator  

Your teacher is wrong unless you have not written the question correctly .. like maybe there was a dot above something indicating that it was a repeating decimal.

5000(0.04)(0.0833)

=10000(0.04)(0.0833)   /2

=833*0.04/2

=833*0.02

=833*0.01*2

=8.33*2

=16.66

You can show your teacher that if you want to :)      (I didn't use a claculator)