It would be the graph with the line at the 3 on the y axis and with points going up 4 and over 1
Answer:
the production of milk at the Dancing Dairy Farm is increasing by 2158 gallons/year
Step-by-step explanation:
Given the data in the question;
Let us represent the number of cows at the farm with x and
each cow produces y gallons of milk
Total mil production will be T.
so
T = x × y
now, differentiating with respect to t
dT/dt = d( xy )/dt
dT/dt = xdy/dt + ydx/dt
given that;
x = 441
y = 1157
dx/dt = -13
dy/dt = 39
so we substitute
dT/dt = ( 441 )( 39 ) + ( 1157 )( -13 )
dT/dt = 17199 - 15041
dt/dT = 2158
Therefore, the production of milk at the Dancing Dairy Farm is increasing by 2158 gallons/year
Answer:33 units
Step-by-step explanation:
Answer:
It will take 4.84 hours for the drug to decay to 93% of the original dosage.
Step-by-step explanation:
We are given that the half-life of a certain tranquilizer in the bloodstream is 47 hours.
The given exponential model is: 
Now, we know that A becomes half after 47 hours which means that;
Using this in the above equation we get;
where t = 47 hours
Taking log on both sides we get;
k = -0.015
Now, the time it will take for the drug to decay to 93% of the original dosage is given by;
where t is the required time
Taking log on both sides we get;
t = 4.84 hours
Hence, it will take 4.84 hours for the drug to decay to 93% of the original dosage.
