Answer:
= 5 ( 12d + 23f )
Step-by-step explanation:
-2(5d-9f)+7f-10(-9f-7d
Open parenthesis
= -10d + 18f + 7f + 90f + 70d
Collect like terms
= -10d + 70d + 18f + 7f + 90f
= 60d + 115f
Factorise
= 5 ( 12d + 23f )
Therefore,
-2(5d-9f)+7f-10(-9f-7d) in its simplest form is 5 ( 12d + 23f )
54/4 = 13.5
take the 2 whole numbers below 13.5 and the 2 whole numbers above 13.5
12 + 13 + 14 + 15 = 54
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.