Answer:
a) 
b) 
Dividing both sides by 0.448 we got:
We can appy the exponent 
in both sides of the equation and we got:
Step-by-step explanation:
For this case we know the following function:
The notation is: x is the weight of the crab in grams, and the output f(x) is the weight of the claws in grams.
Part a
For this case we just need to replace x = 2 gram in the function and we got:
Part b
For this case we know tha value for 
and we want to find the value of x who satisfy this condition:
Dividing both sides by 0.448 we got:
We can appy the exponent in both sides of the equation and we got:
cos (2x) = cos x
2 cos^2 x -1 = cos x using the double angle formula
2 cos ^2 x -cos x -1 =0
factor
(2 cos x+1) ( cos x -1) = 0
using the zero product property
2 cos x+1 =0 cos x -1 =0
2 cos x = -1 cos x =1
cos x = -1/2 cos x=1
taking the arccos of each side
arccos cos x = arccos (-1/2) arccos cos x = arccos 1
x = 120 degrees x=-120 degrees x=0
remember you get 2 values ( 2nd and 3rd quadrant)
these are the principal values
now we need to add 360
x = 120+ 360n x=-120+ 360n x = 0 + 360n where n is an integer
There are 64 people in the room.
Since the ratio for women increases 1 when 8 women enter the room, for every time there is 1 in the ratio there are 8 people. That means that originally you have to do 3x8 and 4x8. You get 24 and 32 which equals 56. Then when 8 more women enter the room, you get 64.
Answer:
I would stay direct vartation
Step-by-step explanation:
For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.
