Question

A scientist placed fish eggs in a tank. Each day, twice the number of eggs from the previous day hatch. The expression 5 times 2 to the second power represents the number of eggs that hatch on the sixth day. How many eggs hatch on the sixth day?

Answer 1

Answer:

The scientist placed 20 eggs on the sixth day.

Step-by-step explanation:

We know that

• Each day he placed twice fish eggs than the day before, this means that's a geometric sequence.
• The sixth day the scientist placed 5 times 2 to the second power.

So, to find the number of eggs on the sixth day, we just need to solve the expression

$5\times2^{2}$

The solution would be

$5\times2^{2}=5\times4=20$

Therefore, the scientist placed 20 eggs on the sixth day.

Answer 2

Answer:  The answer is 20 eggs.

Step-by-step explanation:  Given that a scientist placed fish eggs in a tank. Also, each day, twice the number of eggs from the previous day hatch, .i.e, if 'x' number of eggs hatch on first day, then '2x' number of eggs will hatch on the second day.

The number of eggs that hatch on the sixth day is given by 5 times 2 to the second power.

So, the number of eggs got hatch on the sixth day is

$E_6=5\times 2^2=5\times 4=20.$

Thus, the answer is 20 eggs.