Melody

The mean is another word for average.

So add all the scores up and then divide by how many there are :)

$$5x*x=5*x*x=5*x^2=5x^2$$

Thanks for your excellent answer Heureka.

I just want to practice this for myself because I keep forgetting it.   

$$\dfrac{(x-C)^2}{A^2}-\dfrac{(y-D)^2}{B^2}=1$$

The equation of the hyperbola that has a center at (1,2) ,

$$\dfrac{(x-1)^2}{A^2}-\dfrac{(y-2)^2}{B^2}=1$$                  and            $$C^2=A^2+B^2$$

a focus at (-4 , 2) ,   and a vertex at (-3 , 2 )

The foci are at   $$(h\pm C,k)$$      so    1-C=-4    C=5

The vertices are at     $$(h\pm A, k)$$      1-A=-3     A=4

$$\\4^2+B^2=5^2\\
B=3$$

$$\\\dfrac{(x-1)^2}{4^2}-\dfrac{(y-2)^2}{3^2}=1\\\\\\
\dfrac{(x-1)^2}{16}-\dfrac{(y-2)^2}{9}=1$$

Bruce and Sharon are the same age and both had pension plans with their place of employment.

Sharon started contributing $2500 per year at age 25.  

Sharon's plan earned and annual rate of 4.55% compounded quarterly

Bruce did not start making regular contributions until age 40, but at that point contributed $6500 per year. Bruce's plan paid an annual rate of 4.85% compounded semi-annually.

There is no question here

inverse sine is the same as arc sin

On this calc it is labelled as asin

5n   hours

The breakeven will be where revenue=cost

23x=18x+85000

5x=85000

x=17000

The diffference of two numbers is 5. Their product is 176. What are the numbers?

We need 2 numbers that are fairly close together.

$${factor}{\left({\mathtt{176}}\right)} = {{\mathtt{2}}}^{{\mathtt{4}}}{\mathtt{\,\times\,}}{\mathtt{11}}$$

2^4=16

The numbers are 16 and 11