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andriy [413]
3 years ago
9

How to solve this? Please help!

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
4 0

Answer:

it ccccccccccccccccccccc

Step-by-step explanation:

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A model for tumor growth is given by the Gompertz equation dV dt = a (In b-, In V) V where a >0 and b >0 are constants and
Xelga [282]

Answer:

V(t) = b^{(1-e^{-at})}

Step-by-step explanation:

We are given the following information in the question:

\displaystyle\frac{dV}{dt} = a (In b - In V) V

where a > 0 and b > 0.

\displaystyle\frac{dV}{dt} = a (In b-In V) V\\\\\displaystyle\frac{dV}{dt} = -aV(ln\frac{V}{b})\\\\\frac{dV}{V(ln\frac{V}{b})} = (-a)dt\\\\\text{Put } ln\frac{V}{b} = z\\\\\text{Integrating both sides}\\\\\int \frac{dV}{V(ln\frac{V}{b})} = \int (-a)dt\\\\\text{We get}\\\\\int \frac{dz}{z} = \int (-a)dt\\\\\\\text{where C is the constant of integration}

V(0) = 1~ mm^3\\V(t) = b.e^{e^{-at+C}}\\\text{Putting t =0, V(0) = 1}\\\\V(0) = 1 = b.e^{e^{C}}\\\\V(t) = b^{(1-e^{-at})}

where v(t) is the required tumor volume as a function of time that has an initial tumor volume of V(0) = 1 cubic mm.

5 0
3 years ago
Mary wants to fill in a cylinder vase. At the flower store they told her that the vase should be filled for the flowers to last
frutty [35]
For the problem, we are asked t o calculate the volume of the cylindrical vase and it will represent the amount of water that Mary should pour. For a cylinder, the volume is calculated as follows:

V = πr²l
V = π(3)²(8)
<span>V = 226.19 in³ water needed</span>
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3 years ago
Find the slope of the equation
andreyandreev [35.5K]

Answer:

In my guess I'll go for Slope = -\frac{4}{5}  y-intercept = 10

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3 years ago
It is computed that when a basketball player shoots a free throw the odds in favor of his making our 23 to 3 find the probabilit
denis-greek [22]

Answer:

Step-by-step explanation:

So think like a percent 3 percent of 23 of mean multiply so first 23 divided by 100 equals what then to check the answer multiply it by 3

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2 years ago
A spinner is divided into blue green and red part.George spin the spinner 300 times. It lands 91 times on blue 107 times on gree
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Estimated probability=number of outcomes in question/divided by total number of trials

ep=102/300

ep=51/150  (34%)
3 0
3 years ago
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