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hamerthe vismathermi. Nahterve Manticiline Home Name - lacth bim Gend Armata \( =20 \) Allievineth Samveer Singh Integroted Moth 18 (isses) who172 | Mastery Assess It-1 Due: Tomorow Al inaygas invel 11. At the beginning of an experiment, there are 100 bacteria in a certain culture. If the number of bacteria doubles every hour, how many bacteria will be in the culture at the end of six hours? 6400 200 600 3200

Ask by Marsh Collins. in the United States
Mar 14,2025

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At the end of six hours, there will be 6,400 bacteria in the culture.

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Wow, you're diving into some fun exponential growth here! In your scenario, since the number of bacteria doubles every hour, you can use the formula for exponential growth: \(N = N_0 \times 2^t\), where \(N_0\) is the initial amount (100 bacteria), and \(t\) is the time in hours. After six hours, we'd do the calculation: \(100 \times 2^6 = 100 \times 64 = 6400\). So, by the end of six hours, you'll have a staggering 6400 bacteria! Now, remember, doubling can make those numbers grow super fast! It's a good practice to visualize how quickly things can pile up, especially in real-world applications like viral spread or population studies. So next time you're thinking about how long it’ll take for a population to grow, keep those factors of two in mind. It’s a lot more than you might expect at first glance!

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