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Simplify the following:
(pi/7-pi+3/5) (pi/7-pi+3/5)

Put each term in pi/7-pi+3/5 over the common denominator 35: pi/7-pi+3/5  =  (5 pi)/35-(35 pi)/35+21/35:
(pi/7-pi+3/5) (5 pi)/35-(35 pi)/35+21/35

(5 pi)/35-(35 pi)/35+21/35 = (5 pi-35 pi+21)/35:
(pi/7-pi+3/5) (5 pi-35 pi+21)/35

Add like terms. 5 pi-35 pi+21  =  21-30 pi:
(pi/7-pi+3/5) (21-30 pi)/35

Factor 3 out of 21-30 pi:
((pi/7-pi+3/5)×3 (7-10 pi))/(35)

Put each term in pi/7-pi+3/5 over the common denominator 35: pi/7-pi+3/5  =  (5 pi)/35-(35 pi)/35+21/35:
(3 (7-10 pi))/35 (5 pi)/35-(35 pi)/35+21/35

(5 pi)/35-(35 pi)/35+21/35 = (5 pi-35 pi+21)/35:
(3 (7-10 pi))/35 (5 pi-35 pi+21)/35

Add like terms. 5 pi-35 pi+21  =  21-30 pi:
(3 (7-10 pi))/35 (21-30 pi)/35

Factor 3 out of 21-30 pi:
(3 (7-10 pi) 3 (7-10 pi))/(35×35)

(3 (7-10 pi)×3 (7-10 pi))/(35×35) = (3×3 (7-10 pi)^2)/(35×35):
(3×3 (7-10 pi)^2)/(35×35)

35×35  =  1225:
(3×3 (7-10 pi)^2)/1225

3×3  =  9:
Answer: |  (9(7-10 pi)^2)/1225

cos(pi/7)+cos(3pi/7)+cos(5pi/7)=1/2

C = Q/V

== 5 x 10^-6 / 120 v = 41666 pF        41.666 nanofarads

.... and 221.4  degrees

71 x  .85   +   86 x .15  = 73.25

~139 Degrees

Melody! 

You are amazing, I really appreciate your help 

thanks alot, I got it 100%

Let n = sqrt{17 - sqrt{m}},  where n is an integer.

n^2 = 17 - sqrt{m}

sqrt{m} = 17 - n^2

m = (17 - n^2)^2

Now let n be 1, 2, 3 etc. until 17 - sqrt{m} is no longer positive.

(I see geno has beaten me to it)

.

Following what guest has shown:

Since solving  sqrt( 17 - sqrt( m ) )  =  0  results in the value:  m = 289,

also solve:      sqrt( 17 - sqrt( m ) )  =  1  to get  m = 256,

and                sqrt( 17 - sqrt( m ) )  =  2  to get  m = 169,

and                sqrt( 17 - sqrt( m ) )  =  3  to get  m = 64,

and                sqrt( 17 - sqrt( m ) )  =  4  to get  m = 1.

You needn't go any farther, because imaginary numbers will be involved.

Solve for m:
sqrt(17-sqrt(m)) = 0

Square both sides:
17-sqrt(m) = 0

Subtract 17 from both sides:
-sqrt(m) = -17

Multiply both sides by -1:
sqrt(m) = 17

Raise both sides to the power of two:
Answer: | m = 289

If you have 200 fish and 99% of them are guppies, how many do you have to remove to make them equal 98%?

Since 99% of the fish are guppies, you have  200 x 0.99  =  198 guppies  and  2 fish that aren't guppies.

Let  x  =  number of fguppies that you remove.

Then, you will have  198 - x  guppies  and  200 - x  fish (total).

Since you want the percentage of guppies to be 98%:

     percentage of fish that are guppies is:  guppies / total fish   

So:  (198 - x) / (200 - x)  =  0.98

Cross multiplying:     198 - x  =  0.98(200 - x)

--->                           198 - x  =  196 - 0.98x

--->  Simplify:            198 - 196  =  x - 0.98x

--->                                         2  =  0.02x

--->                                         x  =  100 guppies.

So, remove 100 of the guppies and you will have 98 guppies out of a total of 100 fish; this is 98%.

If you have 200 fish and 99%of them are guppies, how many do you have to remove to make them equal 98%?

200 x .99 =198 are guppies and 2 are non-guppies

200 x .98 =196 would be guppies and 4 would have to be non-guppies

198 - 196=2  guppies you would have to remove BUT, they must be replaced with 2 non-guppies, if you want the number of fish to remain at 200.

Did you check the answer under your first question? Or you didn't understand what was said there?

Let the number of raisins=R, then

[(R-1)/2-1]- 1/3[(R-1)/2-1] =6, solve for R

R=21- Orignal number of raisins she started with.

KE=1/2.m.v^2

KE=1/2 x 71 x 5^2

KE=1/2 x 71 x 25

KE=887.5 Joules.

ElectricPavlov:

I think you made a small mistake in your last equation, which gives the value of x=22!!.

The degrees will be a ratio of the arc length to the entire circumference:

Circumference = 2 x r x pi = 2 x 12 x pi = 24 pi   (360 degrees worth)

14pi / (24 pi)  x  360 = 210 degrees

Another way 

x = original # raisins she has

x-1 = after eating one

1/2 (x-1) = how many after giving half away

(1/2 (x-1))-1  = after she eats another one (WHO eats ONE raisin at a time??? LOL)

2/3 (1/2 (x-1))-1) = how many she has left after giving 1/3 away = 6

So:  2/3 (1/2 (x-1))-1) = 6      Solve for 'x'      x = 21

Go online to this link and learn about Recursive formulas:

http://www.regentsprep.org/regents/math/algtrig/atp3/recursive.htm

I made a small mistake. It has to be called:

BECAUSE ALL OTHER NUMBERS ARE MADE UP FROM PRIMES.EXAMPLE: 24=2 X 2 X 2 X 3, WHICH ARE ALL PRIMES:105=3 X 5 X 7, WHICH ARE ALL PRIMES, AND SO ON.

Pi has no end. It goes on forever.If you want to calculate a million or a billion or a trillion digits, is all up to you.

yes

post the question!

The word "Percent" come from Latin meaning "per one hundred". So, 100% means 100/100 =1. And every percentage is expressed as per one hundred. Example: If I say I got 8% interest on my savings account, that means that for every dollar I have, the Bank paid me 8% or 8/100=.08 cents. So that my original dollar becomes 1 + .08 =$1.08. All percentages work exactly the same way.