2 years ago

I need help with this

Mathematics

1 answer:

amm18122 years ago

3 0

Answer:

1. minimum

2. vertical line

3. a vertex is a point of where the first derivative of curvature is zero.

4. the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

The population of bacteria is modelled by the equation:

$P=P_0e^{rt}$

From the the question, the initial population of bacteria is 720.

So after 26 hours, we have:

$P=2P_0$

This implies that:

$2P_0=P_0e^{26r}$

$2=e^{26r}$

$26r = ln(2)$

$r = \frac{ ln(2) }{26}$

$r = 0.0267$

We want to find how long it will take for there to be 1310 bacteria present.

$1310=720e^{0.0267t}$

$\frac{1310}{720} = {e}^{0.0267t}$

$\ln(\frac{1310}{720}) = {0.0267t}$

$0.59853= {0.0267t} \\ t = \frac{0.59853}{0.0267}$

$t = 22.417$

To the nearest tenth , it will take 22.4 hours

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