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Vedmedyk [2.9K]

1 year ago

6

Which equation is the inverse of y = x² - 36?

1 answer:

Damm [24]1 year ago

4 0

Answer:
y = SQRT( x + 36 )
y = - SQRT( x + 36 )

Steps:
The 5 options you listed are unclear to me. But I provided the correct answer above.

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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

A machine can produce a maximum of 600 parts per day. Yesterday, it produced 75 % of its maximum capacity. How many parts did th

gizmo_the_mogwai [7]

Answer:

450

Step-by-step explanation:

here is a fast way:

1- 75% = 75/100 = 3/4

2- 600 × (3/4) = 450

8 0

3 years ago

Read 2 more answers

Write a general formula to describe the variation:

Tcecarenko [31]

Answer:

d

Step-by-step explanation:

3 0

3 years ago

Y=9 11 13 15 x= -17 -1 6 27 is it a direct or inverse variation

dybincka [34]

It would be a direct variation.

7 0

3 years ago

It takes Maya 30 minutes to solve 5 logic puzzles, and it takes amy 28 minutes to solve 4 logic puzzles. use models, to show the

nalin [4]

Answer:

maya - 6 min per puzzle

amy - 7 min per puzzle

maya would finish first since her unit rate is smaller. for example, it takes maya 30 for 5 but it would take 35 for 5.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers