This is a question of proportionality. However, it is not direct proportionality as it is expected that as the number of tractors increases, the work is finished faster as opposed to fewer number of tractors. This is referred to as inverse proportionality.
Therefore;
6 tractors ----- 10 days
18 tractors --- x days
Then,
x = (6*10)/18 = 10/3 days = 3 days, and 8 hours.
This means that 18 tractors will take 3 days and 8 hours to collect the same harvest.
Answer:
The function is ![f(x) = 4(\sqrt[3]{16} )^{2x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%204%28%5Csqrt%5B3%5D%7B16%7D%20%29%5E%7B2x%7D)
.
Step-by-step explanation:
We have to choose from options the exponential function which has a simplified base of 4∛4 i.e. ∛(256).
Now, the exponential function in the option III will be the answer.
The function is .
So, the base is ![(\sqrt[3]{16} )^{2}](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7B16%7D%20%29%5E%7B2%7D)
= ![\sqrt[3]{16^{2}} = \sqrt[3]{256} = 4\sqrt[3]{4}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B16%5E%7B2%7D%7D%20%3D%20%5Csqrt%5B3%5D%7B256%7D%20%3D%204%5Csqrt%5B3%5D%7B4%7D)
. (Answer)
The general formula of an exponential function is 
, where b is called the base of the function.
Answer:
Billy’s angular velocity, is 1508.16 radians per second
Step-by-step explanation:
We have to find angular velocity in radians per second
we have given angular velocity w = 4 revolutions per minute
we have to convert revolutions into radians and minutes into seconds.
so, we use the following conversion:
1 rev = 2* pi radians (where pi = 22/7 or 3.142)
1 min = 60 sec
putting the values in our equation : w = 4 revolutions per minute
=> w= 4 * ( 2* 3.142) *60
=> w= 1508.16 radians per second
hence Billy’s angular velocity, is 1508.16 radians per second
