Answer:
in 630 minutes, the population of the bacteria will 64,000
Step-by-step explanation:
current population of the bacteria = 8,000
and this population doubles every 210 minutes
0 (minute) ------------------------ 8,000 bacteria
210 + 0 (210 minutes) -------------------- 2 x 8,000 = 16,000 bacteria
210 + 210 ( 420 minutes) -------------------- 2 x 16,000 = 32,000 bacteria
420 + 210 (630 minutes) -------------------- 2 x 32,000 = 64,000 bacteria
Therefore, in 630 minutes, the population of the bacteria will 64,000
There are 16 cups in a gallon. You have 2 gallons to begin with, so you have 32 cups to begin.
You give out 20 cups, so you only have 32-20 cups left. 32-20=12. You have 12 cups left.
The answer to the question above is the last one. Because when x+5 is expanded.
It will be
x^2 + 10x + 25 = 1
Then, if you transpose the 1
It will be a negative which will result to
x^2 + 10x + 25 -1 = 0
and it leads to the x^2 + 10x +24 = 0
<h3>
Answer: 33 cubic units</h3>
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Explanation:
Convert the mixed number 3 & 2/3 to an improper fraction
3 & 2/3 = 3 + 2/3
3 & 2/3 = 9/3 + 2/3
3 & 2/3 = (9+2)/3
3 & 2/3 = 11/3
The prism has a base area of 9 square units and a height of 11/3 units.
Multiply the base area by the height to get the volume
volume = (base area)*(height)
volume = (9)*(11/3)
volume = 99/3
volume = 33 cubic units
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You could choose to not convert to an improper fraction, and your steps may look like this
volume = (base area)*(height)
volume = (9)*(3 + 2/3)
volume = 9*3 + 9*(2/3) .... distribute
volume = 27 + 18/3
volume = 27 + 6
volume = 33 cubic units
Either way we get the same volume.
Given:
To find:
The simplified expression by factoring.
Solution:
Let us factor the numerator:
31x can be written as 3x + 28x.
Take 3x common in 1st two terms and 7 common in next two terms.
Make sure the remaining terms in the both brackets must be same.
Now, take out common factor (4x + 1).
In the same way, factorize the denominator:
8x can be written as 4x + 4x.
Take 4x common in 1st two terms and 1 common in next two terms.
Make sure the remaining terms in the both brackets must be same.
Now, take out common factor (4x + 1).
Substitute the terms we found for numerator and denominator:
Cancel the common factors.
The simplified expression is .