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Slav-nsk [51]
2 years ago
7

Help with this question

Mathematics
1 answer:
ioda2 years ago
4 0
The answer is letter a
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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
Using a Table to Multiply Multivariable Polynomials What is the product of 6x – y and 2x – y + 2? 8x2 – 4xy + 12x + y2 – 2y 12x2
NikAS [45]

Answer: B.

12x^{2} -8xy + 12x + y^2 - 2y

Step-by-step explanation:

i just took the assignment

4 0
3 years ago
Please answer the question from the attachment.
Thepotemich [5.8K]
Approximately 10 or x= ln(1024)/ln(2)
5 0
3 years ago
A chef plans to mix 100% vinegar with Italian dressing, The Italian dressing contains 8% Vinegar,
kolezko [41]

Answer:

  • 15 mL of 100% vinegar
  • 45 mL of Italian dressing

Step-by-step explanation:

Let v represent the amount of 100% vinegar to be included in the mixture. Then the amount of vinegar in the overall mixture is ...

  1.00v + 0.08(60 -v) = 0.31(60)

  0.92v = 60(0.23) . . . . . . . collect terms, subtract .08(60)

  v = 60(0.23/0.92) = 15 . . . mL of vinegar

  60 -v = 45 . . . mL of dressing

15 mL of vinegar and 45 mL of Italian dressing should be used.

3 0
3 years ago
Using the data from the table determine if there is a linear trend between the age of a house and its value and determine if
MariettaO [177]
D is the correct answer
6 0
2 years ago
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