The bacteria in a Petri dish culture are self-duplicating at a rapid pace. The relationship between the elapsed time ttt, in minutes, and the number of bacteria, B(t)B(t)B, left parenthesis, t, right parenthesis, in the Petri dish is modeled by the following function. B(t)=10⋅2t12 How many bacteria will make up the culture after 120120120 minutes? Round your answer, if necessary, to the nearest hundredth.

10240 bacteria will make up the culture after 120 minutes.

Given-

Total elapsed time is t min.

To calculate the number of bacteria use the relationship given between the time and bacteria.The relationship between the elapsed time , in minutes, and the number of bacteria, , left parenthesis, , right parenthesis, in the Petri dish is given as,

Total bacterial make up the culture after 120 minutes is,

Hence, 10240 bacteria will make up the culture after 120 minutes.

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4,09,600 bacteria will make up the culture after 120 minutes .

Step-by-step explanation:

Here we have , The bacteria in a Petri dish culture are self-duplicating at a rapid pace. The relationship between the elapsed time t, in minutes, and the number of bacteria, B(t)B(t)B, left parenthesis, t, right parenthesis, in the Petri dish is modeled by the following function. B(t)=10⋅2t12 . We need to find How many bacteria will make up the culture after 120120120 minutes . Let's find out:

We have the following equation to determine the number of bacteria made up in time t as

⇒

According to question given value of t is , 120 min so :

⇒

⇒

⇒

⇒

Therefore , 4,09,600 bacteria will make up the culture after 120 minutes .

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step-by-step explanation:

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