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That is not correct EP   

How much medicine the patient is given depends on how much they weigh 

SO

the wieght is the INDEPENDENT  variable and 

the dose is the DEPENDENT  variable.  (it depends on the weight)

According to WolframAlpha  ≈ 25.24 miles  = 25 miles

http://www.wolframalpha.com/input/?i=distance+between+50%C2%B0+00%27+N+02%C2%B0+00%27+W+and+50%C2%B0+00%27+N+01%C2%B026%27+W

1.09361329834  yd/meter

This describes a RIGHT triangle with legs of 275 and 1324 ft     Opposite = 275   adjacent = 1324

Tan = opp/adj = 275/1324

Arctan (angle ) = arctan (275/1324)

angle = 11.73 degrees

simplify:     cos(sin^-1(x/3))

\({\color{red}cos(arcsin \frac{x}{3})} \ or \ cos\frac{1}{\large sin\frac{x}{3}} \ ?\)

\(\large cos(arcsin \frac{x}{3})=cos(\frac{\pi}{2}-arccos\frac{x}{3})=cos \ arctan\frac{\frac{x}{3}}{\sqrt{1-\frac{x^2}{9}}}\) 

Not easy, but great!

  !

589020670000000000 by fourth root

\(\sqrt[4]{589,020,670,000,000,000 } =27703.3720059\)

  !

3/4+4/5

\(\frac{3}{4}+\frac{4}{5}=\frac{3*5+4*4}{20}=\frac{31}{20}=1\frac{11}{20}\)

  !

Find the distance (departure) to the nearest whole mile between initial position 50° 00' N 02° 00' W and 50° 00' N 01° 26' W '

I am working on the Earth being a sphere with a radius of 3959 miles

These two places both have a latitude of 50 degrees north and the longitudes are different by 24 degrees.

I need to work out what the radius of the earth is on the minor circle of 50 degrees north.

\(sin(90-50)=\frac{r}{3959}\\ 3959sin(40)=r\\ r=2544.8miles\\ \\~\\ distance=\frac{24}{360}*2*\pi*2544.8 = 1066\;miles\)

*

100 divided by 1/2

\(\frac{100}{\frac{1}{2}}=100\times\frac{2}{1}=200\)

  !

32x^2=392   divide both sides by 32

392 / 32  = 49 /  4  = x^2     take both sq roots

± √ [49 / 4 ] = x

± [ 7 / 2 ]  = x

nevermind ive donw this now

This is a typical 'unit rate ' type of a problem

Her unit rate will be how much she charges per hour

$ per hour = $54 / 10hr = 5.4 $/hr

For 100 hours     multiply her 'unit rate' x 100 hours

5.4 $/hr x 100hr = $ 540

It will be 2^5 times bigger   ( 2 x 2 x 2 x 2 x 2 )  = 32 times bigger than originally

32 x 2 = 64 inches wide

original 2

1 min    4

2 min    8

3 min    16

4 min     32

5 min     64 inches

To solve this problem, just double or multiply each term by two. Since I do not give the answer away, lets say you got the same problem, but the size tripled. Then 2x3=6x3=18x3=54x3=162x3=486.

Yes it is....generally the dosage is listed as   x mg/kg       x  mg per kg of body weight

so the independent variable is the  dosage  x mg/kg   as it never changes....what does change is the WEIGHT of th patient from patient to patient .....so patient weight would be the DEPENDENT variable....how much they get as a dose DEPENDS on how much they WEIGH ....

Option A   $115/week x 52 week   + .095 x 125000 = 17855/yr

Option B    $450/week x 52 week = 23400/yr

You can calc the difference...I do not want you to wait any longer!  LOL

45/.74 = 60.81

OK, Mr Frustrated....

 6 carp x 6 days/6 houses =  6 carp day / house

Two houses will take     2 houses x  6 carp day/ house =   12 carp day

with 2 carpenters this will take

12 card day / 2 carp  = 6 days   

Since COT = +5    and COT = cos / sin     we know that theta must be in  1st and 3rd quadrants

so    cos/sin = 5  (this was given)

        cos = 5 sin      Now square both sides

        cos^2 = 25 sin^2   (1st equation)

sin^2 + cos^2 = 1       so sin^2 = 1-cos^2      Sub this into 1st equation

               cos^2 = 25(1-cos^2)

               cos^2 = 25 - 25 cos^2      subtract cos^2 from both sides

                 0   =  25 - 26 cos^2          Subtract   25 from both sides

    -25 = - 26 cos^2

      25 = 26 cos^2

      25/26 = cos^2

    +-  5/ (sqrt 26 ) = cos theta        

   Sec theta = 1/cos   =   1/ (+- 5/sqrt26) =  sqrt 26 / 5  or   - sqrt26 / 5

Independent is number of hours slept, dependent is number of treats.

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0 mins ago

2^(3+m/3)  =  2^3 * 2^m/3       

so

4/27 ( 2^m/3 ( 2*3 +1) )^3 =

4/27 2^(m/3 *3)(9)^3

4/27 * 2^m 9^3

4/27 * 2^m (3^2)^3

4/3^3  * 2^m * (3^3)^2

4  *   2^m  * 3^3

2^2 * 2^m * 27

2^(2+m) * 27    

X/-3= -5

You need to isosolate the variable so you get rid of the /-3.

To get rid of /-3, you times it by -3.

What you do to one side, you do to the other so,

x= -5*-3

x=15

42 is to 2.6%      as  x is to 100%

Set this up as a ratio:

42 / 2.6%   = x / 100%   Now multiply both sides by 100%

42 / 2.6%   x 100% = x = 1615.38

200