Answer:
Yes
Step-by-step explanation:
Answer:
The answer is Yes. Hope this helps :)
Step-by-step explanation:
Answer:
y = x - 3
Step-by-step explanation:
Do rise/run to find the slope
8/8 = 1
y = x + b
Plug in a point to find the y-intercept
-5 = -2 + b
-3 = b
The equation will be y = x - 3
Answer:
x>11
Step-by-step explanation:
x needs to be alone so subtract 16 on both sides, making the equation -8x > -88, next simply make x positive amd alone by dividing -8 on both sides, ending in the result of × > 11
Answer:
hello! :)
-167
Answer: 167
Step-by-step explanation:
First get X by itself.
substract 27 to each side
194=27-x
194= 27 -27 -x
194 - 27 = X
X= 167
Answer: 380000 cells/hour
Step-by-step explanation:
Given that dP/dt = 0.19P(t)
where
P(t) is the size of the culture (measured in millions of cells) at time t > 0 (measured in hours).
The formula above represents a mathematical model for the growth of a certain cell culture. In essence, it represents the time rate of the growth of the cell culture, that is how fast the cell culture is growing.
Therefore, when P = 2 million cells:
dP/dt = 0.19 * 2000000 = 380000 cells/hour
Hence, the cell culture is growing at 380000 cells per hour.
The cell culture is growing at a rate of 0.38 million cells per hour when the size of the culture reaches 2 million cells. This is based on the given differential equation dP/dt = 0.19P(t).
This problem is associated with the concept of differential equations, particularly exponential growth. In this scenario, the rate of change of P(t), the size of the cell culture, is given by the equation dP/dt = 0.19P(t). This can be interpreted as the culture is growing at 19% per unit of time.
To determine how fast the culture is growing when P(t) equals 2 million cells, we need to substitute 2 for P(t) in the given equation: dP/dt = 0.19*2. This calculation returns a value of 0.38 million cells per hour. Therefore, when the size of the culture reaches 2 million cells, it is growing at a rate of 0.38 million cells per hour.
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