Question
experiment (S1): ideal environment In the first test, a culture medium for bacteria was generated where the ideal temperature for their reproduction cycle was maintained. This allowed us to accurately predict the quantity of bacteria after having gone through a division process, through an expotential model defined as follows: S1 (x) = 4 * C ^ 0.57x + 3 Where x corresponds to the hours elapsed since the start of the experiment and S1 the number of bacteria at this moment. What was the initial amount of bacteria in the experiment?
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Answer to a math question experiment (S1): ideal environment In the first test, a culture medium for bacteria was generated where the ideal temperature for their reproduction cycle was maintained. This allowed us to accurately predict the quantity of bacteria after having gone through a division process, through an expotential model defined as follows: S1 (x) = 4 * C ^ 0.57x + 3 Where x corresponds to the hours elapsed since the start of the experiment and S1 the number of bacteria at this moment. What was the initial amount of bacteria in the experiment?
Fred
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1. Evaluamos la función en x = 0
2. Sustituimosx = 0 S1(x) = 4C^{0.57x} + 3 S1(0) = 4C^{0.57 \times 0} + 3
3. Simplificamos el exponente:0.57 \times 0 = 0 4C^0 + 3
4. Usamos la propiedad de los exponentes, donde cualquier número a la potencia de 0 es 1:C^0 = 1
5. Entonces, la ecuación se simplifica a4 \cdot 1 + 3 = 4 + 3 = 7
6. Por lo tanto, la cantidad inicial de bacterias es7
2. Sustituimos
3. Simplificamos el exponente:
4. Usamos la propiedad de los exponentes, donde cualquier número a la potencia de 0 es 1:
5. Entonces, la ecuación se simplifica a
6. Por lo tanto, la cantidad inicial de bacterias es
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