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Alex Ar [27]
3 years ago
15

Suppose that the concentration of a bacteria sample is 60 comma 000 bacteria per milliliter. If the concentration triples in 4 ​

days, how long will it take for the concentration to reach 102 comma 000 bacteria per​ milliliter?
Mathematics
1 answer:
Elodia [21]3 years ago
3 0

Answer:

1.932 days (or approximatelly 1 day, 22 hours and 22 minutes)

Step-by-step explanation:

The inicial concentration is 60,000, and this concentration triples every 4 days, so we can write the equation:

P = Po * r^t

where P is the final concentration after t periods of 4 days, Po is the inicial concentration and r is the ratio that the concentration increases (r = 3)

Then, we have that:

102000 = 60000 * 3^t

3^t = 102/60 = 1.7

log(3^t) = log(1.7)

t*log(3) = log(1.7)

t = log(1.7)/log(3) = 0.483

so the number of days that will take is 4*0.483 = 1.932 days (or approximatelly 1 day, 22 hours and 22 minutes)

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a. 3.6

b. 42.5%

Step-by-step explanation:

a. 180/100 = 1.8

1.8 times 2 (since it's 2%) gives us 3.6

B. 17/40 is 42.5

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3 0
3 years ago
I don’t understand this problem
ikadub [295]

Hello! the answer is c

First of all let's eliminate the answers that do not make sense. For A. numbers are NOT irrational because they are a fraction. Numbers are also not irrational because they are a repeating number. C and D are both correct as fractions and terminating decimals are both rational numbers.

34/3≈11.33333333

By using a certain formula you can convert repeating decimals to a fraction. But most people know that .3333333 is 1/3. This gives us 11 1/3 as our answer. So what does it match? It is not a terminating decimal. It repeats but can be written as a fraction. Therefore our answer is C) Rational, because it is a fraction.

I hope this helps!

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4 0
3 years ago
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Alex Ar [27]
I think it would be A because if you multiply the square by a 30 thinking there all the same space between it will give u 120 square yards
5 0
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Read 2 more answers
The difference between the roots of the quadratic equation x2 -14x +q =0 is 6. Find q
Irina-Kira [14]

9514 1404 393

Answer:

  q = 40

Step-by-step explanation:

When the quadratic has roots p and r, it can be factored as ...

  (x -p)(x -r) = x² -(p+r)x +pr

So, the sum of the roots is 14, and their difference is 6. This lets us find the roots from ...

  p + r = 14

  p - r = 6

  2p = 20 . . . add the two equations

  p = 10

  r = 14 -p = 4

The value of interest is then ...

  q = pr = (10)(4)

  q = 40

__

The graph shows the roots to be 4 and 10, as we found.

3 0
3 years ago
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