The population of the bacteria after 8 hours is 1639 bacteria.
An exponential function is given by:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the population of bacteria after x hours.
Given that he starts his experiment with 500 bacteria, hence
a = 500
The bacteria grow at a rate of 16% per hour, hence:
b = 100% + 16% = 1.16
The exponential equation becomes:
y = 500(1.16)ˣ
After 8 hours:
y = 500(1.16)⁸ = 1639
The population of the bacteria after 8 hours is 1639 bacteria.
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Answer:
See below for answer
Step-by-step explanation:
The radius of the sphere is 5 inches. Correct?
Formula for the volume of a sphere is 4/3πr³
V = 4/3 · π · r³
V = 4/3 · π · 5³
V = 4/3 · π · 125
V = 4/3 · 125 · π
V = 500 /3 · π
V = 523.3 cubic inches Using π = 3.14
if using π on the calculator then V = 500/3 ·π = 523.6cubic inches
9514 1404 393
Answer:
f(-5) = -81
Step-by-step explanation:
Put -5 where x is and do the arithmetic.
f(-5) = -(-5)^2 +10(-5) -6
f(-5) = -25 -50 -6
f(-5) = -81
