Question

У мікробіолога є 1 бактеріальна клітина . Скільки часу знадобиться вченому , щоб виростити 1024 таких клітин? Відомо, що за сприятливих умов вони діляться через кожні 30 хвилин

Answer 1

5 год@@@@@@@@@@@@@@@@

Answer 2

Calculation of Bacterial Cell Growth

To calculate the time required for a microbiologist to grow 1024 bacterial cells, we need to consider the rate at which the cells divide and the initial number of cells.

Given: - 1 bacterial cell - Division every 30 minutes

To find the time required to grow 1024 cells, we can use the concept of exponential growth. Each cell divides into two cells every 30 minutes, resulting in a doubling of the cell population.

Let's break down the calculation step by step:

1. Start with 1 bacterial cell. 2. After 30 minutes, the cell divides into 2 cells. 3. After another 30 minutes (total 60 minutes), each of the 2 cells divides into 2 more cells, resulting in a total of 4 cells. 4. After another 30 minutes (total 90 minutes), each of the 4 cells divides into 2 more cells, resulting in a total of 8 cells. 5. This doubling process continues every 30 minutes.

To find the number of cells after a certain number of divisions, we can use the formula:

Number of cells = Initial number of cells * 2^(number of divisions)

In this case, we want to find the number of divisions required to reach 1024 cells. Let's calculate it:

1024 = 1 * 2^(number of divisions)

To solve for the number of divisions, we can take the logarithm of both sides:

log2(1024) = log2(2^(number of divisions))

Simplifying further:

10 = number of divisions

Therefore, it would take 10 divisions, or 10 intervals of 30 minutes each, to grow 1024 bacterial cells.

Answer:

The microbiologist would need approximately 5 hours to grow 1024 bacterial cells under favorable conditions, with the cells dividing every 30 minutes