En cierto cultivo, inicialmente había 1000 amebas que se reproducen por biparticion cada día ¿Cuántas amebas habrá al cabo de 30 días después que se inició el cultivo ?

Answer: 1,073,741,824,000 amebas

Step-by-step explanation:

Bipartición significa que la población de amebas se duplica cada día.

Entonces si inicialmente hay 1000, después de un día van a haber:

2*1000.

Después del segundo día se vuelven a duplicar, entonces van a haber:

2*(2*1000) = (2^2)*1000

Después del tercer día, lo mismo:

2*(2^2)*1000 = (2^3)*1000.

A esta altura ya se puede ver el patrón, podemos concluir que después de N días, la población de amebas va a ser:

P(N) = (2^N)*1000.

Entonces respondiendo a la pregunta:

¿Cuántas amebas habrá al cabo de 30 días después que se inició el cultivo?

Tenemos que tomar N = 30

P(30) = (2^30)*1000 = 1,073,741,824,000 amebas

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Graph this line using the slope and y-intercept:
y = 8x - 6
Click to select points on the graph.
8
6
4
No
-6
-4
-2
-10
-8
0
co
4
2
6
10
-2
-4
-6
CO
-104

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6
Estimate each percent.
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(1 Point)
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The hardcover version of a book weighs 7 ounces while its paperback version weighs 5 ounces. Forty-five copies of the book weigh a total of 249 ounces.

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Hours Since
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1
2
Number of
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9,000
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3,000
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3
4
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