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wolverine [178]
3 years ago
15

The electrical charge on a metal plate is given

Mathematics
1 answer:
Katarina [22]3 years ago
8 0

Answer:

after 10 seconds  the charge  is 1.624

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one.

The electrical charge on a metal plate is given  by the function below, where t is the time in  seconds. What is the charge after 10 seconds?

C (t) = 12e^{\frac{-t}{5} }

My answer:

Given the information:

C (t) = 12e^{\frac{-t}{5} }  

when t =10 we have:

C (10) = 12e^{\frac{-10}{5} }

<=>  C (10) = 12e^{-2}

<=>  C (10) = 12\frac{1}{e^{2} }

<=> C (10) = 12 * 0.1353

<=>  C (10) = 1.624

Hence, after 10 seconds  the charge  is 1.624

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The population of bacteria in a petri dish doubles every 24 h. The population of the bacteria is initially 500 organisms. How lo
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Answer:

16.34 hours

Step-by-step explanation:

According to the given information we can see that the case is of exponential growth

Hence, we will use the formula

A=P(2)^\frac{t}{24}

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We have to find the time it will take to reach 800 that is we need to find t

On substituting the values in the formula we get

800=500(2)^\frac{t}{24}

On simplification we get

\Rightarrow\frac{8}{5}=(2)^\frac{t}{24}

Taking log on both sides we get

\Rightarrow\log\frac{8}{5}=\log(2)^\frac{t}{24}

using \log\frac{m}{n}=\log m-\log n

And \log a^m=m\log a

\Rightarrow\log{8}-\log{5}=\frac{t}{24}\log2

Now substituting values of log 8=0.903, log 5=0.698 and log 2=0.301 we get

\Rightarrow 0.903-0.698=\frac{t}{24}0.301

\Rightarrow 0.205=\frac{t}{24}0.301

\Rightarrow \frac{0.205}{0.301}\cdot 24=t

\Rightarrow t=16.34

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3 years ago
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