Identify tan P as a fraction and as a decimal rounded to the nearest hundredth. HELP PLEASE!!

Mathematics

1 answer:

irakobra [83]3 years ago

8 0

$tangent=\dfrac{opposite}{adjacent}$

We have:

$opposite=8.5\\adjacent=16$

Substitute:

$\large\boxed{\tan P=\dfrac{8.5}{16}\approx0.53}$

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ozzi

If we take the equation and multiply out the left side, we get....

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4 0

3 years ago

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.

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