CPhill

We need to  solve this :

Beginning amount  +  amountt filled per second  = 1000

243.2  + 4.4 t   = 1000      subtract 243.2 from both sides

4.4 t   =  756.8   divide both sides by 4.4

t  = 756.8 / 4.4  =   172

It took 172 seconds to fill the drive

a       f (1/3)  = (1/3)^2   = 1/9

b       g (4)  = 4  l 4 l   =  4 * 4  = 16

c       g ( -√3)  = (-√3) l -√3 l  =  ( -√3 ) √3  =  - √9   =  -3

d   The domain is all real  numbers

e  The range is all real numbers

f    f(-67)  + g(-67)   =   

 (-67)^2  +  -67 l -67 l    =

67^2  - 67 (67)  =

67^2  - 67^2   =

0

tan (pi - x)

And

tan x  = (2/5)

So

tan (pi - x) =  tan (pi) - tan x                   0  - (2/5)                -(2/5)

                     ______________ =       ___________  =       ____   =     -2/5

                     1 + tan (pi)*tan x              1 + 0 * (2/5)               1

As an alternative,  we can use the Law of Cosines to solve this

The interior angle of a hexagon = 120°....so....

AD^2  = 10^2 + 10^2  - 2 (10 *10) cos (120°)

AD^2  = 200  - 200 (- 1 / 2)

AD^2  =  200 + 100

AD = √ [300]  ≈  17.32  units

Arc length  =  radius *  ( theta  in rads)

12 pi  =  18 *  theta       divide both sides  by  18

12 pi  / 18  =  theta

2 pi / 3  =  theta  =  120°

Post your question.....we'll see what we can do  .....

The graph is shifted to  the right one unit

...........And.....

The graph is shifted 2  units up

x^4  + 2x^2y^2  + y^4

2x^4  + 2x^2y^2  + 2y^4

2 ( x^4 + x^2y^2  + y^4 )

sin B  = 3 / 5

sin A  = 4 / 5

tan A  = 4 / 3

(i)

If the ratio of  men : children  = 11 : 2.....then  

men / children  = 11 / 2    =  33 / 6

And if  the ratio of women to  children  is 10 : 3.....then

women / children   =  10 / 3  =  20 / 6

So....the ratio  of men to women  must  be    33 :  20

(ii)  If there are 24 children....then the number of men, M,  is  11/2 = M/24 ...cross-multiply   

24*11  = 2 * M  divide both sides by 2

12 * 11  = M  = 132

And to  find the number of women,W,, we have

10 / 3  =  W / 24  .... cross-multiply

24 * 10  = 3 * W    divide both sides by  3

8 * 10  = W  = 80

So...the otal number   of members   is 24 + 132 + 80  = 236