A culture of bacteria grows in a lab according to the model B = 600e^(kt) where t is the measured in hours. The culture reaches a size of 750 after 6 hours. Find the value of k. NO LINKS

9514 1404 393

  k ≈ 0.03719

Step-by-step explanation:

Fill in the given numbers and solve for k.

  750 = 600e^(6k)

  1.25 = e^(6k)

  ln(1.25) = 6k . . . . . take the natural log

  k = ln(1.25)/6 . . . . . divide by 6

  k ≈ 0.03719

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

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(

−

∞

,

−

2

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∪

[

0

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{

y

|

y

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step-by-step explanation:

it is not that hard all u have to do is plot the graph

step-by-step explanation: