Answer:
x = 7.5
Step-by-step explanation:
Since DF bisects ∠CDE then
∠EDF = ∠CDF, hence
8x = 4x + 30 ( subtract 4x from both sides )
4x = 30 ( divide both sides by 4 )
x = 7.5
Answer:
The population that gives the maximum sustainable yield is 45000 swordfishes.
The maximum sustainable yield is 202500 swordfishes.
Step-by-step explanation:
Let be
, the maximum sustainable yield can be found by using first and second derivatives of the given function: (First and Second Derivative Tests)
First Derivative Test

Let equalize the resulting expression to zero and solve afterwards:


Second Derivative Test

This means that result on previous part leads to an absolute maximum.
The population that gives the maximum sustainable yield is 45000 swordfishes.
The maximum sustainable yield is:


The maximum sustainable yield is 202500 swordfishes.
The first answer will be correct i took the test and i am in k12
Answer:
<u>13</u> months attended the club.
Step-by-step explanation:
Given:
In order to join a dancing club there is a $30 startup fee and a $4 monthly fee. If you joined the club and spent $82.
Now, to find the months attend the club.
Startup fee = $30.
Monthly fee = $4.
Total money spent = $82.
So, we deduct the startup fee from the total money spent:


The remaining amount is $52.
Now, we divide the monthly fee by the remaining amount to get the months attended:


Therefore, 13 months attended the club.