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3 years ago

Find the product of (7x-3)(2x 4)

Mathematics

1 answer:

boyakko [2]3 years ago

5 0

What's the operation between 2x and 4

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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

Help me out !?!??!?!l

Vlada [557]

Answer:67 is correct D

Step-by-step explanation:use parallel, so 71+x=180-42 x=67 67+71=138, 67= to your answer

4 0

2 years ago

Anna's math test grade was 7 points less than her science test grade. The average grade was 91.5%. What did she get on each test

denis23 [38]

Answer:

84.5%

Step-by-step explanation:

6 0

2 years ago

Lydia spent 4/5 of her money on a mobile phone and 2/3 of the remaining amount on a bag. She had $60 left. How much more money d

KengaRu [80]

The answer is 600 because 1 out 3 is 60 so to find the bag multiply by two while to find 1 out 5 of her monet take 60 times 3 which is 180. 180 times 4 is the money she spent on her mobile phone so take the money spent on her mobile phone(720)minus the amount of money spent on the bag(120)

5 0

2 years ago

Find the circumference of a circle whose area is 247 ft2.

LuckyWell [14K]

Answer:

55.71 ft.

Step-by-step explanation:

hope this helps have a good day!

8 0

2 years ago