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I thought it was cool though :)

I like seeing your question anon  

Sometimes we wonder if we are teaching thin air.    LOL

As an  addendum to geno's explanation.....suppose we don't want to choose any books from the shelf.....in other words...C(5,0)

The "formula" is

5! / [(5 - 0)! * 0!] = [5!/ (5! *  0!)]  = [1 / 0! ]

Well.....there 's only one way not to choose any books from the shelf.....don't take any of them!!!

Thus......the 0! in the "formula" MUST = 1  for this to "work"

OK....try to work them yourself, first......if you get stuck ..... post them....and I'll take a look....

These equations confuse me. I apreciate your help and explanations.

However I still have 3 questions left lol

8^-5  =  1/8⁵  =  1/32768

76,994 = 76994.

there is an invisable point at the end of any whole number.

you have to jump it over the 4 the 9 the 9 and the 6  SO that it ends up between the 7 and the 6.    That is 4 jumps.   So the power is 4

$$76994=7.6994\times 10^4$$

This might be displayed on a calc as     7.6994E4

A proportion that you can use is:  radians/π  =  degrees/180  

--->   radians/π  =  120/180

--->   radians/π  =  2/3

multiply both sides by π:

--->   radians  =  (2/3)π     or     2π/3

2x^2 (two x square)

2 plus 2 equals 4

Add or subtract similar terms (terms that have the same variable):  -7g + 4g  =  -3g

    -7g + 4g + 2

=  -3g + 2

You can't add a pure number to a variable term.

Use the calculator located in the home page. You might be surprised that it does actually work and you dont need to waste one of our time going to the calculator and doing your work for you :)

Press the (2nd) button, then the (atan) button, enter the value, and press (=).

The domain is the set of all allowable x-values.

I am assuming that you mean:  (-x + 3/2)^1/4

The fourth root is defined for real numbers only for zero and positive numbers, so we need to find when

          -x + 3/2  ≥  0

                    -x  ≥  -3/2

Now, multiply both sides by -1, and change the direction of the inequality because you are multipling by a negative number:

                     x  ≤  3/2

[x^2 -25] / [x^2 - 10x + 25] * [x^2 - 7x + 10] / [x^2 - x -2] + 1/[x + 1]

Factor and "cancel" where possible

[(x + 5)(x -5)]/ [(x -5)(x -5)] * [(x -5)(x - 2)]/[ (x -2)(x + 1)]  + 1 /[x + 1]

(x + 5)/(x-5) * (x -5)/(x + 1)  + 1 /(x + 1)

(x + 5)/(x + 1)  + 1/(x + 1) =

(x + 5 + 1) /(x + 1) =

(x + 6) / (x + 1)

{Remember.....the inclination is to want to combine the last two fractions, first......however, this is incorrect......the multiplied fractions are done before any adding/subtracting takes place....... }

The formula for standard deviation is:

where x represents each of the data elements, x-bar represents the average of the x-values, and n represents the number of x-values.

To do this by hand:

1) find the average of all the x-values

2) for each x-value, find the difference between the x-value and the average value, and then square that answer

3) sum all the values from step 2

4) divide the answer of step 3 by n-1, the number of values minus 1

5) find the square root of step 4.

25sinxcosx-5sinx+20cosx= 4

Thank you.

I think I made a mistake in this one also. It was a bit difficult. Can you check it please.

My answer is = (x + 9) /  (x + 2)

Thank you all.

This is a good question from an enquiring mind.

I liked both answers,  the 2 answers compliment each other really well I think.

Very funny Dragonlance  :))

This is known as a "see-saw" problem.....that is, the product of one side of the equation must equal the product of the other side

So, two people dig a hole in 5 hrs. = 300 minutes

So

2 x 300  = N * 5    where N is the number of people we're looking for

600 = N * 5      divide by 5

120 = N   

So it takes 120 people to dig the same hole in 5 minutes

To see the logic of this, we need to dig the hole 60 times as fast......therefore....we need 60 times as many people....  and 60 x 2 = 120.....!!!

Good answer - thanks anon.    

$${\mathtt{5}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{7}}}{{\mathtt{8}}}}\right) = {\frac{{\mathtt{35}}}{{\mathtt{8}}}} = {\mathtt{4.375}}$$

*throws in your face*. there you go.

[9x^ + 12x + 4] /[12x^2 + 5x -2] * [16x^2 -1] / [4x^2 + 5x + 1]   factor

[(3x + 2)(3x + 2)] / [(4x- 1)(3x + 2)] * [(4x + 1)(4x -1)] / [(4x + 1)(x + 1)]  "cancel" where possible

(3x + 2)/(4x -1)  * (4x -1)/(x + 1) =

(3x + 2) / (x + 1)

{ I think you only made a slight mistake in factoring [9x^2 + 12x + 4] }