The formula for the number of bacteria at time t is 1000 x (2^t).
The number of bacteria after one hour is 2828
The number of minutes for there to be 50,000 bacteria is 324 minutes.
<h3>What is the number of bacteria after 1 hour?
</h3>
The exponential function that can be used to determine the number of bacteria with the passage of time is:
initial population x (rate of increase)^t
1000 x (2^t).
Population after 1 hour : 1000 x 2^(60/40) = 2828
Time when there would be 50,000 bacteria : In(FV / PV) / r
Where:
- FV = future bacteria population = 50,000
- PV = present bacteria population = 1000
- r = rate of increase = 100%
In (50,000 / 1000)
In 50 / 1 = 3.91 hours x 60 = 324 minutes
To learn more about exponential functions, please check: brainly.com/question/26331578
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Answer:
Step-by-step explanation:
17x – 7y = 19
17x – 19 = 7y
y = (17/7)x - 19/7
<h2>
Answer:</h2>
The value of y is 8.4375
<h2>
Step-by-step explanation:</h2><h3>Known :</h3>
<h3>Asked :</h3>
- The value of y when x is 2.25
<h3>Solution :</h3>
2/7.5 = 2.25/y
Do a cross multiplication,
2/7.5 = 2.25/y
=> 20/75 = 2.25/y
=> 75 . 2.25 = 20y
=> 168.75 = 20y
Reverse the equation,
168.75 = 20y
=> 20y = 168.75
Find the value of y,
20y = 168.75
=> y = 8.4375
<h3>Conclusion :</h3>
y = 8.4375
Answer: 
Step-by-step explanation:
We know that the total number of outcomes for fair dice {1,2,3,4,5,6} = 6
Given : Favorable outcome = 5
i.e. Number of favorable outcomes =1
We know that the formula to find the probability for each event is given by :-

Then, the probability that the six faces cube will land with the number 5 face up will be :_

Hence, the required probability = 
Answer:
22 + x ≤ 40
x ≤ 18 pounds
Step-by-step explanation:
Maximum weight = 40 pounds
Initial weight = 22 pounds
Let Maximum weight that can be added = x
Mathematically, this means :
Initial weight + additional weight ≤ 40
That is ;
22 + x ≤ 40
Additional weight, x :
x ≤ 40 - 22
x ≤ 18 pounds