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
Well it depends on how smart he is
Volume is a three-dimensional scalar quantity. The cost of the glass is $1312.24.
<h3>What is volume?</h3>
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given the colony must be able to take a volume of 200,000 cubic meters, therefore, the diameter of the hemisphere will be,
The volume of Hemisphere = (2/3)πr³
200,000 = (2/3) × π × R³
R = 45.7
The area of the base of the hemisphere is,
Area of the base = πR² = π×(45.7) = 6561.185 meters²
Given the cost of glass is $0.20 per square meter, therefore, the cost of the glass of the base will be,
Cost of glass = 6561.185 × 0.20 = $1312.24
Hence, the cost of the glass is $1312.24.
Learn more about Volume:
brainly.com/question/13338592
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Answer:
C
Step-by-step explanation:
(x-3)+7
