Hi!
Let's find how much bacteria it grows per hour.
2400 - 2000 = 400
bacteria per (divided by) hour
400/6 = 66.7
After 16 hours...
66.7 x 16 = 1067.2
Plus the original amount of bacteria
1067.2 + 2400 = 3467.2
The answer is 3067.2
Hope this helps! :)
-Peredhel
Answer:

Step-by-step explanation:
*photo attached*
Answer:
y = 2cos5x-9/5sin5x
Step-by-step explanation:
Given the solution to the differential equation y'' + 25y = 0 to be
y = c1 cos(5x) + c2 sin(5x). In order to find the solution to the differential equation given the boundary conditions y(0) = 1, y'(π) = 9, we need to first get the constant c1 and c2 and substitute the values back into the original solution.
According to the boundary condition y(0) = 2, it means when x = 0, y = 2
On substituting;
2 = c1cos(5(0)) + c2sin(5(0))
2 = c1cos0+c2sin0
2 = c1 + 0
c1 = 2
Substituting the other boundary condition y'(π) = 9, to do that we need to first get the first differential of y(x) i.e y'(x). Given
y(x) = c1cos5x + c2sin5x
y'(x) = -5c1sin5x + 5c2cos5x
If y'(π) = 9, this means when x = π, y'(x) = 9
On substituting;
9 = -5c1sin5π + 5c2cos5π
9 = -5c1(0) + 5c2(-1)
9 = 0-5c2
-5c2 = 9
c2 = -9/5
Substituting c1 = 2 and c2 = -9/5 into the solution to the general differential equation
y = c1 cos(5x) + c2 sin(5x) will give
y = 2cos5x-9/5sin5x
The final expression gives the required solution to the differential equation.
Answer:
12.57
Step-by-step explanation:
The average speed of Dolly is 33.33kmph.
Average Speed:
The average speed is defined as the total distance travelled by the object in a particular interval of time. It can be calculated by dividing the total distance travelled by the total time taken.
So, Average Speed = total distance / total time
Here,
Let the total distance is 100 km.
Therefore, consider she will travel 60 km at speed of 60 kmph , 30 km at speed of 30 kmph and 10 km at speed of 10 kmph.
she will required times of 1 hour, 1hour and 1hour
So,
Average speed = 100 / (1 + 1 + 1)
=> 100 / 3 = 33.33
To know more about Average speed here
brainly.com/question/12322912
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