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D= Diane's # of texts

D+9=John

4D=Hans

D+D+9+4D=6D+9

6D+9=135

6D=126

D=21

Diane sent 21 messages, John sent 30, and Hans sent 84.

Your numbers are missing because you copy-pasted and missed the LaTeX, also why is it off-topic?

We split the equations:

(1) \(\sqrt{4+\sqrt{8+4c}}=2\)

(2) \(\sqrt{2+\sqrt{2+c}}=2\sqrt{2}\)

Square both sides of both equations:

(1) \(4+\sqrt{8+4c}=4\)

(2) \(2+\sqrt{2+c}=8\)

Simplify and square both sides of both equations once again:

(1) \(8+4c=0\)

(2) \(2+c=36\)

We get:

\(c=-2\) and \(c=34\)

That is incorrect, because \(c\) needs to be the same value for the equations to work.

By commutative property, we get another two equations:

(3) \(\sqrt{4+\sqrt{8+4c}}=2\sqrt{2}\)

(4) \(\sqrt{2+\sqrt{2+c}}=2\)

Square both sides of both equations:

(3) \(4+\sqrt{8+4c}=8\)

(4) \(2+\sqrt{2+c}=4\)

Simplify and sqaure both sides of both equations once again:

(3) \(8+4c=16\)

(4) \(2+c=4\)

For both equations, we get \(\boxed{c=2}\)

Take that! Guest!

are there 10 red marvles or did you just say 5 red marbles twice by mistake?

There are C(5 + 4 + 7,2)*1/2*1/3 = 20 ways to pair the animals.

If ABCD is a square, then x = y, and the radius is sqrt(x*y) = x, so the formula works.

The product is 6.1897*10^{26}.

N=6; R=?;PV =5000; FV =10000; FV=PV*(1 + R)^N; print"FV =$",R
R =12.25% compounded annually.

N=?; R=12.25;PV =300; FV =9600; FV=PV*(1 + R)^N; print"FV =$",N
N = 30 years.

Hey i got question c ( I got 1 and 3 second) but I was wondering if you could please help me more on question d I'm still confused 

40 / (4x/3x) = 30 oranges.

Different !!.

L=-17; F =88; D =-3; N = (L - F) / D + 1
where L=Last term, F=First term, D=Common Difference, N=Number of terms
 N =36th term which is -17

Are you the same guest or different?

11 , 13 , 15 , 22 , 24 , 26 , 31 , 33 , 35 , 42 , 44 , 46 , 51 , 53 , 55 , 62 , 64 , 66 , Total =  18 Even sums.
14 , 23 , 32 , 41 , 46 , 55 , 64 , Total =  7 - sums that are multiples of 5

Probability =[18 + 7] / 6^2 = 25 / 36

12 , 15 , 21 , 24 , 33 , 36 , 42 , 45 , 51 , 54 , 63 , 66 , Total =  12 - sums that are multiples of 3.
13 , 22 , 26 , 31 , 35 , 44 , 53 , 62 , 66 , Total =9 - sums that are multiples of 4

Probability =[12 + 9] / 6^2 = 21 / 36 = 7 / 12

sumfor(n, 2, 100, 1 / logn(n, 100!)) = it converges to 1

Can you provide reasoning, because your answer is incorrect.

Can you provide reasoning, because your answer is incorrect.

-3*-6=18

18/8=2  1/4

x=32

sqrt2*4=4sqrt2

4sqrt2 divdied by 1 is 4sqrt2

4sqrt2=sqrt32=sqrtx

32=x

2010 - 1850 = 160 years

N=160*12; R=0.04/12;PV=28; P =0; FV=PV*(1 + R)^N; print"FV =$",FV
N=160; R=0.04081077;PV=28; P =0; FV=PV*(1 + R)^N; print"FV =$",FV

FV =$ 16673.26 compounded monthly
FV =$ 16851.66 compounded continuously

Note: I took the purchase price of the house as $28 and not $2828 as you have it.

I will say it is 160 years     EDITED: CHANGED YEARS FROM 170 to 160

monthly      interest is   4 /12 = .3333 %    = .003333      28 (1.00333)^{(160 * 12)} = 16672.20

continuously  =   28 e^rt  = 16851.66

Why don't you just say what you want to say in plain English?

Better still if you believe you are knowledgable why don't you just answer the question yourself.

Why are you hiding behind anonymity?  

People who make snide comments behind a curtain of anonymity usually have no idea of any relevant thing.