First we need to find k ( rate of growth)
The formula is
A=p e^kt
A future bacteria 4800
P current bacteria 4000
E constant
K rate of growth?
T time 5 hours
Plug in the formula
4800=4000 e^5k
Solve for k
4800/4000=e^5k
Take the log for both sides
Log (4800/4000)=5k×log (e)
5k=log (4800/4000)÷log (e)
K=(log(4,800÷4,000)÷log(e))÷5
k=0.03646
Now use the formula again to find how bacteria will be present after 15 Hours
A=p e^kt
A ?
P 4000
K 0.03646
E constant
T 15 hours
Plug in the formula
A=4,000×e^(0.03646×15)
A=6,911.55 round your answer to get 6912 bacteria will be present after 15 Hours
Hope it helps!
Vertical angles are congruent due to the fact that they intersect. If they did not, they would in fact be parallel. (last section)
Answer:
A) b
B) c
Step-by-step explanation:
A) a large distance is covered in a short period of time but then the speed decreases
B) the person travels some distance but then returns to their starting point for a while(their home) and then starts on their journey again
Answer:
5(7d-5)
Step-by-step explanation:
taking 5 common from 35d-25
= 5(7d- 5)
Answer:
2.) 2703
4.) 9
Step-by-step explanation:
2.)
5327 - 2624 = ?
We subtract from left to right to get;
(7 - 4 = 3) then (2 - 2 = 0) then carrying 1 from 5, (13 - 6 = 7) and (4 - 2 = 2)
So writing the answer;
2 then 7 then 0 then 3
i.e Answer = 2703
4.)
648 ÷ 72 = ?
72 × 10 = 720
So we must multiply 72 by a number less than 10 since 720 > 648
We should look for a number such that 2 in 72 times the number should give an answer with 8 in the end.
Such a number can be 9;
Manually multiplying 72 and 9 we get 648 and we are right!
