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
Answer:
6 + 16w
Step-by-step explanation:
8(3/4 + 2w)
Break up this expression into parts using the distributive property
8(3/4) + 8(2w)
Multiply
6 + 16w
Hope this helps :)
For the bubble numbers put the second box in there, and for the chart put the first box.
The unfilled/open dot shows that we don't include that number
the filled/closed dot shows taht we include the number
so we see that it is open at -4 and closed at 4 so it is
-4<x and 4<u>></u>x so
S={x| -4<x<u><</u>4}
Hello!
You use the Pythagorean Theorem to solve this
Put in the values it tells you
Square the numbers
Subtract 1 from both sides
Take the square root of both sides
The answer 3/4 or 0.75
Hope this helps!