What's is the missing number in this pattern.2, 5, 7, 12 ,19, 31, ,
1 answer:
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Option B: 256 is the diameter of the bacteria after 8 hours.
Explanation:
From the given, it is obvious that the graph is an exponential function.
The general formula is given by,
Where a is the initial population,
b is the growth rate and
x is the number of hours.
It is given that the diameter of the bacteria doubles every hour.
Then, we have,
Let us substitute the coordinate (0,1) and , we get,
Thus, substituting and
in the general formula
, we have,
We need to determine the diameter of the bacteria after 8 hours.
Let us substitute x = 8 in the equation , we get,
Thus, the diameter of the bacteria after 8 hours is 256
Hence, Option B is the correct answer.
Answer:
Joseph tenía 240 soles
Step-by-step explanation:
Tenemos lo siguiente
Cantidad total = Cantidad gastada + Cantidad restante.
Sabemos que Cantidad gastada = 3/5 Cantidad restante y que Cantidad restante = Cantidad gastada + 60.
Sea x la cantidad gastada e y la cantidad restante. Tenemos las ecuaciones
Reemplazando la segunda en la primera, tenemos que
(aquí simplemente distribuímos la multiplicación.
Restando 3/5 x a ambos lados, tenemos que
Multiplicando por 5 y dividiendo por dos ambos lados, tenemos que
Es decir, Joseph gastó 90 soles. Entonces y = 90+60 = 150 soles.
Es decir, en total, Joseph tenía 150+90= 240 soles.