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3 years ago

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Please need help on this

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yan [13]3 years ago

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the answer should be 121°

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A freshly inoculated bacterial culture of Streptococcus contains 100 cells. When the culture is checked 60 minutes later, it is

Luba_88 [7]

Answer:

$P(t) = 100e^{0.0251t}$

The doubling time is of 27.65 minutes.

Step-by-step explanation:

Exponential equation of growth:

The exponential equation for population growth is given by:

$P(t) = P(0)e^{kt}$

In which P(0) is the initial value and k is the growth rate.

A freshly inoculated bacterial culture of Streptococcus contains 100 cells.

This means that $P(0) = 100$ . So

$P(t) = 100e^{kt}$

When the culture is checked 60 minutes later, it is determined that there are 450 cells present.

This means that $P(60) = 450$ , and we use this to find k. So

$450 = 100e^{60k}$

$e^{60k} = 4.5$

$\ln{e^{60k}} = \ln{4.5}$

$60k = \ln{4.5}$

$k = \frac{\ln{4.5}}{60}$

$k = 0.0251$

So

$P(t) = 100e^{0.0251t}$

Doubling time:

This is t for which P(t) = 2P(0) = 200. So

$200 = 100e^{0.0251t}$

$e^{0.0251t} = 2$

$\ln{e^{0.0251t}} = \ln{2}$

$0.0251t = \ln{2}$

$t = \frac{\ln{2}}{0.0251}$

$t = 27.65$

The doubling time is of 27.65 minutes.

7 0

3 years ago

Does the function model exponential growth or decay f(x)=3*(7/4)^x

Lubov Fominskaja [6]

Answer:

Exponential functions are patterns that get continuously multiplied by some number. It's exponential growth when the base of our exponential is bigger than 1, which means those numbers get bigger. It's exponential decay when the base of our exponential is in between 1 and 0 and those numbers get smaller.

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Trig help ..........

erastovalidia [21]

Letter D

1-sin^2(x) = cos^2(x)

= sin^2(x)/cos^2(x)
= tan^2(x)

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3 years ago

What describes the slope and y-intercept of the line for this equation<br> x - 5 = 0

DanielleElmas [232]

Isn’t it 5 or no cuz 5-5=0 that’s easy

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3 years ago

R= 9.7 m<br><br> Calculate the diameter of the circle

Lunna [17]

Answer:

19.4

Step-by-step explanation:

diameter= r2

9.7x2=19.4

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3 years ago

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