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
<h2>♪Answer : </h2>
»f(x) = 9(9 + x)(10)
subtitute x = 2 for f(x).
»f(5) = 9(9 + 5)(10)
»f(5) = 9(14)(10)
»f(5) = 1,260✅
Seven-thirty.
A half an hour past seven o'clock.
Answer:
A
Step-by-step explanation:
We can use vertical line test to determine if a relation is a function.
<em>If a vertical line passes the graph at any point only once, then the relation is a function, if there is even 1 line that passes the graph at 2 points, then it is NOT a function.</em>
<em />
The domain is the set of allowed x-values of the function. The range is the set of allowed y-values of the function.
- Looking at the graph, we see that there are a lot of vertical lines that cuts the graph two times. Suppose x=3, x=4, x= 5 etc. So it is not a function.
- As for domain, we see that curve swings from x = -8 to x = 8, so the domain is from -8 to 8.
- As for range, we that the curve stretches all the way from negative infinity to positive infinity, so the range is the set of all real numbers.
Correct answer is A
