The coordinates of triangle BCD are B(8.2), C(11, 13) and D(2,6). Which equality proves that triangle BCD is isosceles? (d =
2 answers:
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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
Option A: 4 is the solution
Explanation:
The given expression is
We need to determine the solution of the expression.
<u>Solution:</u>
The solution of the expression can be determined by solving the expression for t.
Let us solve the given expression.
Applying the log rule, if then
Thus, we have;
Adding both sides of the equation by 4t, we get;
Adding both sides of the equation by 3, we have;
Dividing both sides of the equation by 5, we get;
Hence, the value of t is 4.
Therefore, the solution of the given expression is 4.
Thus, Option A is the correct answer.