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Wow asinus. That was not exponential equation. Oops. Great job though. I didn't know that ln(-7) = 1.94591015 + πi

LOL I have Pikachu in game though.

The formula for standard deviation is :

Let there are n numbers in a set x and the mean of the set is \(\mu\)Moooooo XDD

 \(\sigma=\sqrt{\dfrac{(x_1-\mu)^2+(x_2-\mu)^2+......+(x_n-\mu)^2}{n}}\)

Thank you so much! I really appreciate the help!!!

Division is same as fractions.

:D

Let x be the airplane speed and y be the wind speed.

Because distance/time = speed......

\(x+y=\dfrac{2500}{3.75}\)

\(x-y=\dfrac{2500}{4.4}\)

Add up the 2 equations:

 \(2x=\dfrac{2500}{3.75}+\dfrac{2500}{4.4}=1234\dfrac{84}{99}\\ x = 617\dfrac{4}{9}\text{miles/h}\)

\(617\dfrac{4}{9}+y=\dfrac{2500}{3.75}\\ \dfrac{5557}{9}+y=\dfrac{2000}{3}\\ y = \dfrac{6000}{9}-\dfrac{5557}{9}=49\dfrac{2}{9}\text{miles/h}\)

\(\;\;\;\;\;.\\0.46\)

\(\;\qquad\;\;\;\;\;\;\;\;\;\;.\\=0.4 + 0.06\)

\(=\dfrac{2}{5}+\dfrac{\frac{2}{3}}{10}\\ =\dfrac{12}{30}+\dfrac{2}{30}\\ =\dfrac{14}{30}\\ = \dfrac{7}{15}\)

Hello Guest!

what is w equal to in the equation 22-w over 3 = -7

3^22-w = -7

(22-w) * ln3 = ln(-7)

w = 22 - ln(-7) / ln(3)

ln(-7) = 1.94591015 + 3.14159265 i    

https://support.google.com/websearch/answer/3284611?hl=de

ln(3) = 1.09861228867

w = 22 - (1.77124375002 + 2.85960086411 i)

w = 20.22875625 - 2.85960086411 i

Greeting

asinus :- )  !

In the absolute values bracket, everything become positive :D (Stays positive :DDDD)

|\(\begin{array}{c}\circ\\↑\\\text{^}\\\end{array}\)|<-- That man was positive LOL.

|-1 2/5| = 1 2/5

-|-1 2/5| = -(1 2/5) = -1 2/5

-1 2/5 = -7/5 (division)= -1.4

Same as geno's answer

Do you mean \(9^2-\dfrac{3^3}{2^4+11}\)?

\(9^2-\dfrac{3^3}{2^4+11}\\ = 81-\dfrac{27}{16+11}\\ =81-\dfrac{27}{27}\\ = 80\)

Definitely a funny question. Such a complicated expression can give a simple answer. :D

Therefore it takes 6 hours to hike 12 miles.

First question:

\(\sqrt2 - \sqrt 3\\ = \dfrac{2-3}{\sqrt2+\sqrt3}\\ = -\dfrac{1}{\sqrt2 + \sqrt 3}\\ \text{I think your teacher wants you to do this.}\)

Second question:

\((3\sqrt5-2\sqrt3)(3\sqrt5-2\sqrt3)\\ = 45 - 12\sqrt{15}+12\\ = 57-12\sqrt{15}\)

Third: Greatest = 6sqrt7, Least = sqrt7

Reason: It is because sqrt7 is a positive number. If you use a greater positive number to multiply it, the product would be greater. Therefore 6sqrt7 is the greatest and sqrt7 is the least.

\(A=(z+7)^3?\\A=(z+7)^3\\\sqrt[3]{A}=z+7\\z=\sqrt[3]{A}-7 \)

I am now 14 years old so that statement is true. Thx everyone :D

(PS: I have not been online at the forum for like 5 days so I didn't reply.)

2x=12

x=12/2

x=6

6 hours

\((22-w)/3=-7\\ 22-w = -21\\ w = 43\)

Let  H  =  rate of Hank in still water.

Let  C  =  rate of the current.

The rate downstream is:  H + C

The rate upstream is:       H - C

               Distance  =  rate x time

downstream:      1  =  (H + C) · 13      --->      1  =  13H + 13C     --->  x 24  --->     24  =  312H + 312C

upstream:           1  =  (H - C) · 24      --->      1  =  24H - 24C     --->  x 13   --->     13  =  312H - 312C

Adding down the columns:                                                                                       37  =  624H     --->     H  =  37/624                        

                                24  =  312H + 312C                    --->      24  =   312H + 312C

                                13  =  312H - 312C     --->  x -1  --->     -13  =  -312H + 313C 

Adding down the columns:                                                      11  =                624C     --->     C  =  11/624

Both of the rates are in terms of miles per minute.

how do you figure out $10,000 to solve 8000 questions. how much money per question?

\(\frac{\$10000}{8000question} = 1.25\frac{\$}{question}\)

121  =  11²

1.  [sqrt(2) - sqrt(3)]²  =  [sqrt(2) - sqrt(3)] · [sqrt(2) - sqrt(3)]

                                   =  sqrt(2)·sqrt(2) - sqrt(3)·sqrt(2) - sqrt(2)·sqrt(3) + sqrt(3)·sqrt(3)

                                   =            2                  - 2·sqrt(2)·sqrt(3)                      + 3

                                   =     5 -  2·sqrt(2)·sqrt(3)

                                   =     5  - 2sqrt(6)

2.  [ 3sqrt(5) - 2sqrt(3) ] x [ 3sqrt(5) - 2sqrt(3) ]

     =  3sqrt(5)·3sqrt(5) + 3sqrt(5)·-2sqrt(3) - 2sqrt(3)·3sqrt(5) - 2sqrt(3)·-2sqrt(3)

     =  9·5  -  6sqrt(5)·sqrt(3)  - 6sqrt(3)sqrt(5) + 4·3

     =  45 - 12sqrt(3)sqrt(5) + 12

     =  57 - 12sqrt(3)sqrt(5)

     =  57 - 12sqrt(15)

3.  sqrt(7) < 3sqrt(7) < 4sqrt(7) < 5sqrt(7) < 6sqrt(7)

Any help please???

I would really apprecieate it!!!

Since both melons and berries are fruit, 2 pounds of melons and 7 1/2 pounds of berries = 9 1/2 pounds of fruit.

9 1/2  =  (9 x 2 + 1) / 2  =  19/2 pounds

If      k o n  =  k³ - 3n,

then 7 o 5  =  7³ - 3·5  =  343 - 15  =  328

The square root of 14 is irrational.