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ZanzabumX [31]
2 years ago
7

I will give brainliest to the correct answer!

Mathematics
1 answer:
valina [46]2 years ago
3 0
None of the above , <33
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In a lab, a colony of 100 bacteria is placed on a petri dish. The population triples every hour.
Evgesh-ka [11]

Answer:

a). 8100 bacteria

b). 519 bacteria

c). Infinite

Step-by-step explanation:

Population growth of a bacteria is given by the exponential function,

f(x) = P_{0}(1+\frac{r}{100})^{t}

Where f(x) = Population after time 't'

P_{0} = Initial population

r = Growth rate

t = Duration after t hours

If "100 bacteria gets tripled every hour"

300 = 100(1+\frac{r}{100})^{1}

3 = 1 + \frac{r}{100}

r = 100×(3 - 1)

r = 200

So the function is, f(x) = 100(3)^{t}

a). Population after 4 hours,

    f(4) = 100(3)^{4}

          = 8100 bacteria

b). Population after 90 minutes Or 1.5 hours

     f(1.5) = 100(3)^{1.5}

             = 519.61

             ≈ 519 bacteria

c). Population after 72 hours,

    f(72) = 100(3)^{72}

            = Infinite

4 0
3 years ago
luisa is building a sand box in her backyard. she places four pieces of wood in a rectangle to form the frame. the rectangle is
kupik [55]

Answer:

As we know rectangles have 90 degree angles at all 4 of its corners.

In this question we know that the length is 4 feet while the bredth is 3 feet.

Therefore to solve this answer we can use the Pythagoras theorm.

By Pythagoras:

4^{2} + 3^{2} = diagonal^{2}

Therefore the diagonal must be 5 feet

So if Luisa measures the diagonal with a tape and it measures 5

Then it proves that all 4 corners due have 90 degree angles

Please do mark my answer as brainliest. It would really help me answer more of such questions in the future :)

8 0
2 years ago
What is f(x) when given the points (0,-5)
Svetradugi [14.3K]
I think you need more detail for people to answer

3 0
3 years ago
Mrs. Murphy takes her two cats to the veterinarian in a pet carrier that weighs
Otrada [13]
Thxxxxxxxxxxxxxx. Xxxxxxxxx
8 0
3 years ago
Abdul used a probability simulator to roll a 6-sided number cube and flip a coin 100 times. The results are shown in the tables
Sergio039 [100]
Answer

What is this type of math

Ok
6 0
2 years ago
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