Answer:
a). 8100 bacteria
b). 519 bacteria
c). Infinite
Step-by-step explanation:
Population growth of a bacteria is given by the exponential function,
f(x) = 
Where f(x) = Population after time 't'
= Initial population
r = Growth rate
t = Duration after t hours
If "100 bacteria gets tripled every hour"
300 = 
3 = 1 + 
r = 100×(3 - 1)
r = 200
So the function is, f(x) = 
a). Population after 4 hours,
f(4) = 
= 8100 bacteria
b). Population after 90 minutes Or 1.5 hours
f(1.5) = 
= 519.61
≈ 519 bacteria
c). Population after 72 hours,
f(72) = 
= Infinite
Answer: B.

Step-by-step explanation:
i just took the assignment
Approximately 10 or x= ln(1024)/ln(2)
Answer:
- 15 mL of 100% vinegar
- 45 mL of Italian dressing
Step-by-step explanation:
Let v represent the amount of 100% vinegar to be included in the mixture. Then the amount of vinegar in the overall mixture is ...
1.00v + 0.08(60 -v) = 0.31(60)
0.92v = 60(0.23) . . . . . . . collect terms, subtract .08(60)
v = 60(0.23/0.92) = 15 . . . mL of vinegar
60 -v = 45 . . . mL of dressing
15 mL of vinegar and 45 mL of Italian dressing should be used.