Is 4 3/5 rational or irrational?
2 answers:
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Answer:
a)
b) Approx. 27,569 bacteria
c) About 103 minutes
Step-by-step explanation:
a)
This will follow exponential modelling with form of equation shown below:
Where
A is the initial amount (here, 12000)
b is the growth factor (double, so growth factor is "2")
n is the number of minutes in which it doubles, so n = 50
Substituting, we get our formula:
b)
To get number of bacteria after 1 hour, we have to plug in the time into "t" of the formula we wrote earlier.
Remember, t is in minutes, so
1 hour = 60 minutes
t = 60
Substituting, we get:
The number of bacteria after 1 hour would approximate be <u>27,569 bacteria</u>
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c)
To get TIME to go to 50,000 bacteria, we will substitute 50,000 into "y" of the equation and solve the equation using natural logarithms to get t. Shown below:
After about 103 minutes, there will be 50,000 bacteria
9514 1404 393
Answer:
x +4y = -5
Step-by-step explanation:
The equation of the perpendicular line can be found by swapping the x- and y-coefficients and negating one of them. The new constant can be found by substituting the point values into the equation.
3x +12y = 3(-5) +12(0)
3x +12y = -15
We notice that all of the values include a factor of 3. We can divide that out to put the equation in standard form:
x + 4y = -5
