Answer:
a)1280 bacteria
Step-by-step explanation:
We find the function in t hours first
Bacteria in a petri dish doubles every 10 minutes. (Express in exponential function)
a) If there are 10 bacteria initially, how many are there after 120 minutes?
b) If there are 10 bacteria initially, when would there be a million bacteria?
The formula to use is given as
y = Ab^t
Where
y = Total Population of bacteria
B= initial population of the bacteria
r =
t = time in hours
The bacteria doubles in the petri dish every 10 minutes, we have 10 bacteria
10 minutes in hours = 10/60= 1/6 hours
10 × 2 = 10b^10/60
20 = 10b ^1/6
2 = b^1/6
Multiply both sides by Power of 6
2^6 = b
b = 64
Hence, y = 10×(64)^t
a) If there are 10 bacteria initially, how many are there after 120 minutes?
120 minutes in hours = 2
y = 10(64)²
y = 1280
There would be 1280 bacteria after 120 minutes
b) If there are 10 bacteria initially, when would there be a million bacteria?
y= 1,000,000
A = 10 bacteria
b = 64
t = ???
1000000 = 10 × (64)^t
Divide both sides by 10
100000 = (64)^t
An expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).
Answer:
Volume: The space which fills up a certain object on the inside.
Answer:
π(3 in)²(10 in) -8(4/3)(1.5 in)³
Step-by-step explanation:
The volume of a cylinder with a radius of 3 inches and a height of 10 inches is ...
V = πr²h = π(3 in)²(10 in)
The volume of 8 spheres with a radius of 1.5 inches is ...
V = 8(4/3)πr³ = 8(4/3)π(1.5 in)³
The volume occupied by the water is the volume of the cylinder not occupied by the spheres. So, it is ...
V = π(3 in)²(10 in) -8(4/3)(1.5 in)³ . . . . . . matches the 4th choice