geno3141

This can be calculated by using a fraction:

Count the number of letters in the word (in this case, 9) and create the numerator by the factorial of that number.

Since there are 9 letters in the word COMMITTEE, the numerator is  9!

Count the number of times each different letter is used and create the numerator by multiplying together the factorials of those numbers.  OK, that description may be clear as mud, so here's an example:

For COMMITTEE, the C is used once:  1!, the O is used once: 1!, the M is used twice: 2!, the I is used once: 1!, the T is used twice: 2!, and the E is used twice: 2!.

Putting these together, the denominator is  1!·1!·2!·1!·2!·2!  

So the answer is:  9! / [ 1!·1!·2!·1!·2!·2!  ]  =  45360

(A couple things about the denominator:  you really don't need to write down all the 1!, because their values are 1, but if you do, the sum of the numbers used in the denominator is equal to the number of letters in the word.)

Another example:  MISSISSIPPI  =  11! / [ 1!·4!·4!·2! ]

e is a special number (like π).

Its value is 2.718281728459... and will be found on scientific and graphing calculators.

The problem 8.681277e + 33 means to use that key, multiply that value times 8.81277 and then add 33.

However, if the problem is 8.681277e^(+33), then use the e key, take it to the 33rd power and then multiply that answer by 8.681277.

Since both 8 and 256 are multiples of 2, by playing with exponents on 2, I got:

          2^3 = 8     and     2^8 = 256

So now,    8^?  =  256     becomes     (2³)^?  =  2^8

When you are raising an exponent to an exponent, multiply the exponents together, so now we have:

         2^(3·?)  =  2^8

This becomes:  3·?  =  8        --->   ?  =  8/3

Using a set of data to find a pattern of numbers to predict the future can lead to wrong conclusions. This is especially true, if the pattern is used to predict something in the far future.

For instance, predicting weather can be done quite accurately for the near future: tomorrow, the next day, maybe even next week. But he father into the future, the less accurate this prediction becomes.

Another problem arises when the wrong type of math formula is used; a straight line may fairly accurately describe what happened last year, but a curved line may be needed to describe what will happen the next few years.

An integer is a positive or negative whole number; it is one of these:

   ..., -4, -3, -2, -1, 0, 1, 2, 3, 4, ...

There is a formula for the area of a parallelogram:  Area = a·b·sin(∠C)

where a and b are adjacent sides and ∠C is the angle included between those two sides:

Unfortunately, we have ∠DAC, not ∠DCA. So, let's find ∠DCA.

Look at triangle ACD:  We can find ∠DCA if we know both ∠DAC and ∠ADC.

To find the size of ∠ADC, let's use the Law of Sines:

   sin(∠CDA) / AC  =  sin(∠CAD) / CD

--->   sin(∠CDA) / 9  =  sin(100°) / 11   --->  sin(∠CDA)  =  0.80575   --->  ∠CDA  =  53.683°

Since ∠CAD =  100°  and ∠CDA = 53.683° , then ∠ACD = 26.3°

--->  Area  =  9·11·sin(26.3°)  =  43.86

To factor the sum of two cubes, use the formula:  A³ + B³  =  (A + B)(A² - AB + B²)

In  x³ + 27y³  --->  x³ + (3y)³  --->   In the formula, replace A with x and replace B with 3y:

     --->   (x + 3y)(x² - x·3y + (3y)²)

     --->   (x + 3y)(x² - 3xy + 9y²) 

If the problem is:  √x  >  4

square both sides:   x  >  16

So you have 17.5 cookies ---

If you end with only 1 cookie, the other children take 16.5 cookies.

If each of them took the same amount  16.5 ÷ 4  =  4.125 cookies   or:  4 1/8 cookies.

To find the unit price, divide the cost by the number of units:  $32.45 ÷ 5  =       <--- your answer