Bacteria can multiply at an alarming rate when each bacteria splits into two new cells, thus doubling. If we start with only one bacteria which can double every hour, how many bacteria will we have by the end of the day? Show your work
Answers
There will be 16,777,216 bacteria by the end of the day.
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This situation can be represented by a geometric sequence, in which the quotient of consecutive terms is always the same, called common ratio.
The nth term of a geometric sequence is:
In which is the term at the initial moment and q is the common ratio.
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- Initially, 1 bacteria, which means that
- Double every hour, thus,
After n hours, the amount of bacteria will be given by:
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By the end of the day, that is, 24 hours, the amount will be:
There will be 16,777,216 bacteria by the end of the day.
A similar question is given at brainly.com/question/23826475
Answer:
2^24 = 16,777,216 bacterias.
Step-by-step explanation:
So we start with 1 bacteria
after 1 hours: 2*1 = 2
after 2 hours: 2*2 = 2^2 = 4
after 3 hours: 2*2^2 = 2^3
after n hours: 2^n
Since one day has 24 hours we have n = 24 and total number of bacteria will
be: 2^24 = 16,777,216 bacterias.
Related Questions
Greg left work at 4:42 p.m. He had to go to the grocery store, the bank, and the car wash before going home. He got home at 6:17 pm. How long did it take Greg to run his errands?
a display case for the artifact is in the shape of a cube. Each side of the display case is three times longer than the width if the artifact. write & expression for the volume of the case.
You receive 9 text messages in 12 minutes. What is the rate of text messages per hour?
Which value x makes the equation 0.75(x+20)=2+0.5(x-2)
Answers
We need to do the division before we can do the subtract (which becomes into addition because of the signs).
12 - 16/-4
12 - (-4)
12 + 4
16
Your final answer is C. 16.
Answers
Answer:
3x+8
Step-by-step explanation:
First, we can write the sum into a mathematical expression:
The sum of (x+5) and (2x+3)
(x+5)+(2x+3)
However, we do not need the parenthesis. It is unnecesarry here as we are just adding the two parts:
x+5+2x+3
Using commutative property, we can rearrange the symbols so that the x's are with each other and the numbers are with each other:
x+2x+5+3
Now we can simplify the expression:
3x+8
Hope this helped :)
What is the height of the package that has a radius of 5 in. and contains exactly enough bird seed to fill the feeder? Use 3.14 to approximate pi.
in.
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Jade scooped sand from a completely filled cylinder using a cone-shaped container. The cylinder had a diameter of 12 in. and a height of 5 in., and was one-fourth full after she scooped one full scoop of sand.
What were the dimensions of the cone-shaped container? Use 3.14 to approximate pi.
A.
h = 5 in.; r = 9 in.
B.
h = 9.6 in.; r = 15 in.
C.
h = 11.25 in.; r = 12 in.
D.
h = 15 in.; r = 6 in.
Answers
We're trying to find a cylinder that has exactly the same volume as a certain cone. The first thing we need is the formulas for the volumes of cones and cylinders.
Volume of a cone = (1/3) (pi) (radius)² (height)
Volume of a cylinder = (pi) (radius)² (height)
We know all the measurements of the cone. We also know the radius of the cylinder. We want their volumes to be equal, and we need to find the height of the cylinder that will make them equal.
Here's the easiest way to do it:
Write an equation that says the volumes are equal. In that equation, the height of the cylinder will be the only thing we don't know, and we can use the equation to find what it is.
Cone volume = Cylinder volume
(1/3) (pi) (cone-R)² (cone-hight) = (pi) (cyl-R)² (Cyl-height)
Divide each side by (pi):
(1/3) (cone-R)² (cone-hight) = (cyl-R)² (Cyl-height)
Put in all the numbers we do know:
(1/3) ( 3 )² ( 25 ) = ( 5 )² (Cyl-height)
( 1/3 x 9 ) x ( 25 ) = ( 25 ) x (Cylinder height)
Divide each side by 25: (1/3 x 9) = Cylinder height.
3 inches = Cylinder height
=================================
Jade scooping sand:
I'm sorry. Maybe I don't understand the question, but I have to say
that none of the answers on the list is possible.
-- She has a cylinder that's completely full of sand, and she's using a
cone-shaped scooper to scoop sand out of the cylinder.
-- That means she has to slip the cone-shaped scooper down and
bury it in the sand, and then turn it right-side-up,and lift it out of the
cylinder along with the sand that's in it.
-- She can't get the scooper into the cylinder if the scooper's diameter
is bigger than the cylinder's diameter. It won't fit.
-- The cylinder's diameter is 12 . Its radius is 6. The scooper's radius
can't be more than 6, or it won't fit.
In choices 'A', 'B', and 'C', the radius of the scooper is more than 6,
so none of those can even fit into the cylinder.
In choice 'D', the radius and diameter of the scooper is the same as
the cylinder, but its height (15) is three times the height of the cylinder !
I can't imagine how you could even scoop with it at all.
Answers
1/4 * 5/6 = 5/24
1/3 * 5/8 = 5/24
Answers
Answer:
Her average speed for the trip was 48 mph.
Step-by-step explanation:
Rina drove 1 hour at the speed = 45 mph
Distance covered in 1 hour = 45 miles
she drove 1.5 hours at the speed = 50 mph
Distance covered in 1.5 hour = 50 × 1.5 = 75 miles
Total distance covered by Rina = 45 + 75 = 120 miles
Total time taken by Rina = 1 + 1.5 = 2.5 hours
Average speed = Total distance / Total time
= 120 ÷ 2.5 = 48 mph
Her average speed for the trip was 48 mph.
1.5hours at 50kmph , total distance= 50 × 1.5 = 75miles
total distance tracaled = 120mls
total time = 2.5 hours