The bacterium Pseudomonas aeruginosa is cultured with an initial population of 10 4 active organisms. The population of active bacteria increases up to a point, and then due to a limited food supply and an increase of waste products, the population of living organisms decreases. Over the first 48 hr, the population P ( t ) can be approximated by: P ( t ) = − 1718.75 t 2 + 82 , 500 t + 10 , 000 where ? 0 ≤ t ≤ 48 a .Find the time required for the population to reach its maximum value. b .What is the maximum population?
The bacterium Pseudomonas aeruginosa is cultured with an initial population of 10 4 active organisms. The population of active bacteria increases up to a point, and then due to a limited food supply and an increase of waste products, the population of living organisms decreases. Over the first 48 hr, the population P ( t ) can be approximated by: P ( t ) = − 1718.75 t 2 + 82 , 500 t + 10 , 000 where ? 0 ≤ t ≤ 48 a .Find the time required for the population to reach its maximum value. b .What is the maximum population?
Solution Summary: The author explains how to calculate the maximum population of a bacterium by using the ti-83 calculator.
The bacterium Pseudomonas aeruginosa is cultured with an initial population of
10
4
active organisms. The population of active bacteria increases up to a point, and then due to a limited food supply and an increase of waste products, the population of living organisms decreases. Over the first 48 hr, the population
P
(
t
)
can be approximated by:
P
(
t
)
=
−
1718.75
t
2
+
82
,
500
t
+
10
,
000
where ?
0
≤
t
≤
48
a.Find the time required for the population to reach its maximum value.
Can we have an exponential equation using logarithm however i want to show that one mistake is involved in solving it. Showing the mistake and how to be fixed. Thanks.
Is it possible to show me how to come up with an exponential equation by showing all the steps work and including at least one mistake that me as a person can make. Like a calculation mistake and high light what the mistake is. Thanks so much.
Consider the weighted voting system [16: 15, 8, 3, 1]Find the Banzhaf power distribution of this weighted voting system.List the power for each player as a fraction:
P1:
P2:
P3:
P4:
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