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PIT_PIT [208]
3 years ago
15

5/9 x 9/x =1 what is x?

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
6 0

Answer:

x equals 5

Step-by-step explanation:

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A scientist running an experiment starts with 100 bacteria cells. These bacteria double their population every 15 hours. Find ho
kati45 [8]

Answer:

it takes 24 hours for the bacteria cells to increase to 300

Step-by-step explanation:

WE use the formula

C= A(b)^{\frac{t}{d}}

Where A is the initial amount of bacteria= 100

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t is the number of hours

c is the number of bacteria after t hours = 300

Plug in all the values and solve for 't'

300= 100(2)^{\frac{t}{15}}

Divide both sides by 100

3=(2)^{\frac{t}{15}}

Now we take log on both sides

log(3)=log(2)^{\frac{t}{15}}

As per log property we can move the exponent before log

log a^m = m log(a)

log(3)=\frac{t}{15}log(2)

Divide both sides by log(2)

\frac{log(3)}{log(2)} = \frac{t}{15}

Multiply both sides by 15

\frac{log(3)}{log(2)}*15=t

t = 23.77

So its approximately 24 hours


4 0
3 years ago
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