Answer: Please mark me brainliest, it will really help me just as this answer really helps you.
Description: Divide by two
Next three terms: 1/8, 1/16, 1/32
Explanation:
<em>How to get next term?</em>
Divide the number before by two to get the next term.
<em>How do you get the pattern?</em>
I observed a pattern that each next number was divided by two.
Answer:
The number of bacteria at initial = 187
Step-by-step explanation:
Given that the population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t.


Integrating both side we get
㏑ N = k t + C ------- (1)
Now given that after 3 hours it is observed that 500 bacteria are present and after 10 hours 5000 bacteria are present.
⇒ ㏑ 500 = 3 k + C -------- (2)
⇒ ㏑ 5000 = 10 k + C ------ (3)
⇒ ㏑ 5000 - ㏑ 500 = 7 k
⇒ ㏑
= 7 k
⇒ ㏑ 10 = 7 k
⇒ k = 0.329
Put this value of k in equation (2),
⇒ ㏑ 500 = 3 × 0.329 + C
⇒ C = 5.23
Put this value of C in equation 1 we get,
⇒ ㏑ N = k t + 5.23
Initially when t = 0 , then
⇒ ㏑ N = 5.23
⇒ N = 187
Thus the number of bacteria at initial = 187
The answer to this is 5√2
2.1 ÷ 1.488 = 1.41
1.41 rounded to the nearest tenth is 1.4
so your answer is 1.4