Answer: a) 
b) 25165824000
Step-by-step explanation:
The exponential equation for growth is given by :-
, where a= initial value , b =multiplicative growth factor and t = time.
Given : A bacteria culture contains 1500 bacteria initially and doubles every hour.
i.e. a = 1500 and b= 2
Then, the function N that models the number of bacteria after t hours will be :
To find , the number of bacteria after 24 hours , we put t= 24 in above equation , we get
Hence, the number of bacteria after 24 hours is 25165824000.
Answer:
357.46 meters squared
Step-by-step explanation:
16 x 12.2 x 1/2 = 97.6
12.2 x 10.6 = 64.66
97.6 x 3 = 292.8
292.8 + 64.66 = 357.46
Answer:
The answer would be 251.2 for the side walk if the radius for the whole circle is 12 and the small circle's radius would be 8. Only for the answer with the 8 m and 12 m radius NOT the 11m and 9 m
The equation would be:
144 x 3.14 - 64 x 3.14 = 251.2
Step-by-step explanation:
First, you need to find out what the whole circle is:
The whole circle is 452.16
Then, find the inner circle :
8 x 8 x 3.14
200.96
Last, subtract the whole by the inner:
452.16 - 200.96 = 251.2
hope this helps!
It’s will be 8 x 7 which is 56
Answer:
Miguel start to swim when Ario has traveled 4.4 m.
Step-by-step explanation:
The total lenght of the pool is 25.
Since both of them standing 3 m from one side of the pool, then, the total distance both need to cover is 
m= 22 m.
Assume that the distance traveled by Ario before Miguel start to swin is 
. That means, the remaining distance to Ario (to cover the total size of the pool) is 
.
Then, in acoordance to the problem, the ratio between these two distances must be equal to 1/4.
That is,
.
So, we need to obtain from this equation. We must note that 
, otherwise we have a zero in the denominator.
So, we rearrange the equation,
(Multiplying both sides of equation by (
).
Then, 
.
Therefore, 
m.
