Given:
The growth of a sample of bacteria can be modeled by the function
where, b is the number of bacteria and t is time in hours.
To find:
The number of total bacteria after 3 hours.
Solution:
We have,
Here, b(t) number of total bacteria after t hours.
Substitute t=3 in the given function, to find the number of total bacteria after 3 hours.
Therefore, the number of total bacteria after 3 hours is 119.1016.
Answer:
Number 9: 1.25 miles
Step-by-step explanation:
In total Brian hiked 16 miles
In total Christine hiked 14.75
So, 16 - 14.75 = 1.25
Overall, Brian hiked 1.25 more miles than Christine.
Answer:
f(1986) = 0
Step-by-step explanation:
f(a + b) = f(a) + f(b) - 2f(ab)
We need to find f(1986)
f(1986) = f(1 +1985). Using the above formula, we can write:
f(1 +1985) = f(1) + f(1985) - 2f(1 x 1985)
f(1986) = 1 - f(1985) Equation 1
Applying the same formula again on f(1985), we get:
f(1985) = f(1 + 1984) = f(1) + f(1984) - 2f(1984)
f(1985) = 1 - f(1984)
Using this value in Equation 1, we get:
f(1986) = 1 - (1 - f(1984))
f(1986)= f(1984)
Continuing this, we can observe,
f(1986) = f(1984) = f(1982) = f(1980) .... = f(4) = f(2)
So,
f(1986) = f(2)
f(2) = f(1 + 1) = f(1) +f(1) - 2(1 x 1) = f(1) + f(1) - 2f(1)
f(2) = 1 + 1 - 2 = 0
Therefore,
f(1986) = f(2) = 0
Answer:
6900-150=d(x)+x
Step-by-step explanation:
I've tried. But, I don't sure its the correct answer.
