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[2nd]  [atan]  number

Thanks Alan I do believe you are correct :) 

( My first answer was rubbish )

I have more ideas:

There are 8 people in a room. They were asked to go in a certain place 2 at a time. In how many ways could the people be paired? Is it an example of permutation or combination problem?

I'll pair them first   [ This is a combination question because order doesn't matter]

choose anyone then there are 7 ways to choose a mate for that person

choose anyone then there are 5 people left to pair him with

choose anyone then there are 3 people left to pair him with

there there is only 2 left so they have to go together

so that is 7*5*3 = 105 possible pairs. [ Just like Alan said ]

Now they leave the room in pairs and order counts so that would be 4! = 2*3*4 = 24   [This bit is a permutation question]

So now I get     7*5*3*4!         105*24 = 2520

So yes I agree that there is 105 ways for them to be paired ( and I think that is what the answer was asking)

 but I think there is 24 orders that those pairs can leave the room.  So there are 105*24 = 2520  ways they can leave the room 

I think there are 105 ways of pairing: (7*5*3 = 105)

The figure below illustrates the pattern (though I haven't filled it in completely)

That is a cute icon Solveit :)

Welcome to the forum  :)

@  Injustagod, if you speak to people that way you may find the help you want for yourself stops being offered !

There are 8 people in a room. They were asked to go in a certain place 2 at a time. In how many ways could the people be paired? Is it an example of permutation or combination problem?

Deleted on the grounds that my answer was rubbish   

w=93 log10 d +65

Subtract 65 from both sides and divide the result by 93

(w - 65)/93 = log₁₀d   (I've assumed you mean the 10 to indicate it is log to the base 10)

Raise both sides to the power 10:

d = 10^[(w-65)/93]

sin(5x) = sin(3x)

Thanks LambLamb CPhill and guest #4    

I think this answer is probably very similar to  guest     #4      

\(5x=3x+2\pi n\qquad or \qquad 5x=\pi-3x+2\pi n\\ 2x=2\pi n\qquad \qquad or \qquad 8x=\pi+2\pi n\\ x=\pi n\qquad \qquad \quad or \qquad x=\frac{\pi+2\pi n}{8}\qquad where\;\;n\in Z\\\)

(((101-103)^2+(103-107)^2+(107-103)^2+(109-113)^2+(113-127)^2+(127-113)^2+(131-137)^2+(137-131)^2+(139-149)^2+(149-139)^2+(151-157)^2+(157-163)^2+(163-157)^2+(167-179)^2+(179-167)^2+(181-191)^2+(191-181)^2+(193-197)^2+(197-193)^2+(199-197)^2))/19)^0.5

=(((-2)^2+(-4)^2+(4)^2+(-4)^2+(-14)^2+(14)^2+(-6)^2+(6)^2+(-10)^2+(10)^2+(-6)^2+(-6)^2+(6)^2+(-12)^2+(10)^2+(-10)^2+(10)^2+(-4)^2+(4)^2+(2)^2))/19)^0.5

=((4+16+16+16+196+196+36+36+100+100+36+36+36+144+100+100+100+16+16+4))/19)^0.5

          4+16+16+16+196+196+36+36+100+100+36+36+36+144+100+100+100+16+16+4 = 1304

=sqrt(1304/19)

sqrt(1304/19) = 8.284417839979369

((x^4)-20(x^2)) - ((x^4)+2(x^3))

There is no division here but out guest did simplify it correctly.  Thanks guest :)

\(=x^4-20x^2 - 1(x^4+2x^3)\\ =x^4-20x^2 - 1x^4-2x^3\\ =-20x^2 -2x^3\\ =-20x^2 -2x^3\\\)

3.516 x  10⁷

You're welcome, GL......don't be a stranger.....!!!!

See ya' next time.....

racecar

Link helped me to the right answer. Thank you very much CPhill ^^

Simplify the following:
(5 x+7)-(2-3 x)

-(2-3 x) = 3 x-2:
3 x-2+5 x+7

Grouping like terms, 5 x+3 x-2+7 = (5 x+3 x)+(7-2):
(5 x+3 x)+(7-2)

5 x+3 x = 8 x:
8 x+(7-2)

7-2 = 5:
Answer: |   8x+5
 

5 of 7 is what percent?

5 out of 7 is=5/7=0.714285.......X 100=71 3/7%

What is a palindrome:

 Is a word, line, verse, number, sentence, etc., reading the same backward as forward,  such as Madam, Ada, 1221.......etc.

Doing OK, man.......glad you're doing well, too......keep playing that music....!!!!!!

Doing well enough @CPhill, been busy with school. Junior year of high school, still working on getting into a good college sometime in a couple of years for music performance, etc. You?

EDIT: Thanks for the link. For the first part at least, Example 3 from the link seems to be almost the same thing, just with different numbers. I'll try that first to see if that doesn't help at all ^^

Unfortunately, GL.....I don't remember how to do this from my Calculus days...!!!....see if this helps some......

http://tutorial.math.lamar.edu/Classes/CalcI/Differentials.aspx

BTW....how are you  ????

(f - g) (x)   =

f(x)  - g(x)  =

[5x + 7 ] -  [2 - 3x]  =

5x + 7 - 2 + 3x  =

8x + 5

 In Statistics and Mathematics, extrpolation is the act or process of estimating the value of a variable or function outside the tabulated or observed range.

Interpolation:

 Is the process of determining the value of a function between two points at which it has prescribed values. It is also a process using more than two points at which the function has prescribed values, as well as the process of approximating a given function by using its values at a discrete set of points.

Here is a very specific formula for doing interpolation:

Y(2)={[(x(2) - x(1)) X (y(3) - y(1)]/ [(x(3) - x(1)]} + y(1)

INTERPOLATION FORMULA

WHERE: Y(2)=TARGET RATE SOUGHT

X(1)=PRICE ABOVE THE TARGET

Y(1)=THE RATE FOR X(1)

X(2)=THE TARGET PRICE

Y(3)=THE RATE FOR X(3)

X(3)=THE PRICE FOR Y(3)

Interpolation can give you very accurate results provided several iterations or cycles are performed.

.

Nevermind. How is (f-g)(x) not 2x+5? What is the answer to (f-g)

jk i got it

    [ g ]     -   [  f  ]     =

  [4x + 14]  - [ x^2 - 4 ] =  

-x^2 + 4x  +18

So

(g - f) ( -1)    =  - (-1)^2 + 4(-1) + 18    =  -1 - 4 + 18   =  13

    HD= sqrt ( d^2  - 8800^2 )