geno3141

Does the problem look like this?      $$-3 - (-6) + 5^{4}$$

If so, simplify the - (-6) to get +6

And $$5^{4}$$ means 5 x 5 x 5 x 5  =  625

So, you have:  -3 + 6 + 625  =  628

A 'square root' is a number, which when multiplied times itself, will give you the original number.

The square root of  4  will be  2  because  2 x 2  =  4.

The square root of  81  will be  9  because  9 x 9  = 81.

Square roots don't have to be 'nice' numbers; for example the square root of  47  is: √47 = 6.8556546...

an irrational number, a number that can't be written as a common fraction and, when written as a decimal, has decimal digits that do not repeat and do not end.

The constant term is the term that has no variables attached to it.

The term with no variables attached to it is  17.  Thus,  17  is the constant term.

The original number is 700.

To increase it by 60%: find 60% of 700 and add this amount to 700:

     60% of 700   ===>   .60 x 700  =  420

     adding this to 700, the total is now 1120.

To decrease this amount by 60%: find 60% of 1120 and subtract this amount from 1120:

     60% of 1120   ===>   .60 x 1120  =  672

     subtracting this from 1120, the final amount is 448.

Increasing an amount by a certain percentage and then decreasing that amount by the same percentage results in a smaller answer than what you started with because the amount that you subtract is more than what you add. 

(10)^(1/10)    or    (2)^(1/3)  ?

(10)^(1/10)  =  (10)^(3/30)  =  (2)^(3/30) x (5)^(3/30)

(2)^(1/3)  =  (2)^(10/30)  =  (2)^(3/30) x (2)^(7/30)

Remove the common factor of (2)^(3/30), so now the comparison is between  (5)^(3/30)  and  (2)^(7/30).

Since they are both 30th roots, take the 30th power of each and compare  (5)^(3)  and  (2)^(7).

5^3  =  125   and  2^7  128.  (I didn't use a calculator, but I did use my fingers.)

Since  128 > 125,      (2)^(1/3)  is slightly larger than (10)^(1/10).

four fifths  is  4/5;

so  8 x 4/5  =  32 / 5  or  6 2/5

If you want a decimal:

4/5  = 0.8

so  8 x .8  =  6.4

-1/2 - 1/3·w  =  3/5     is the same as     -1/2 - w/3  =  3/5  

It usually is easier to solve equations if they have no denominators; a common denominator of  -1/2,  -1/3, and 3/5  is  30  (because 2 x 3 x 5  =  30); so multiply each term by  30:

30(-1/2) - 30(w/3)  =  30(3/5)

-15 - 10w  =  18

Add 15 to both sides:

     - 10w  =  33

Divide by -10:

          w  =  -33/10    or  -3.3

$86.00 per month for 12 months will be $1032.00 in one year.  (86 x 12)

The numbers that you have are:  1,  2,  4,  8,  ...

A geometric sequence is one that has a common ratio, a number that can be used to multiply a number to get the next number.

In this case, you have a common ratio of 2; therefore, this is a geometric sequence.

Another way to look at this sequence is by finding the ratio of successive terms:

2/1,  4/2,  8/4,  ...  Since this ratio is always  2, this is a geometric sequence.

2  =  √( 22 - 8x )

To get rid of the square root, square both sides:

( 2 )²  =  [ √( 22 - 8x ) ]²

Squaring removes the square root:

4  =  22 - 8x

Subtract 22 from both sides:

-18  =  - 8x

Divide by -8:

x = -18 / -8  =  9/4