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pashok25 [27]
3 years ago
9

Ln (5 divided by three)

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
6 0

Answer:

ln  ( − 15 d^3  v e by )

Step-by-step explanation:

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Andrew sees 4 fish.Kim sees double that number of fish.how many fish does Kim see
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Kim sees 8 fish.
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50 points! I understand A. and B. but I would really appreciate help with C.
FromTheMoon [43]

Answer:

51.72\text{ cells per hour}

Step-by-step explanation:

So, the function, P(t), represents the number of cells after t hours.

This means that the derivative, P'(t), represents the instantaneous rate of change (in cells per hour) at a certain point t.

C)

So, we are given that the quadratic curve of the trend is the function:

P(t)=6.10t^2-9.28t+16.43

To find the <em>instanteous</em> rate of growth at t=5 hours, we must first differentiate the function. So, differentiate with respect to t:

\frac{d}{dt}[P(t)]=\frac{d}{dt}[6.10t^2-9.28t+16.43]

Expand:

P'(t)=\frac{d}{dt}[6.10t^2]+\frac{d}{dt}[-9.28t]+\frac{d}{dt}[16.43]

Move the constant to the front using the constant multiple rule. The derivative of a constant is 0. So:

P'(t)=6.10\frac{d}{dt}[t^2]-9.28\frac{d}{dt}[t]

Differentiate. Use the power rule:

P'(t)=6.10(2t)-9.28(1)

Simplify:

P'(t)=12.20t-9.28

So, to find the instantaneous rate of growth at t=5, substitute 5 into our differentiated function:

P'(5)=12.20(5)-9.28

Multiply:

P'(5)=61-9.28

Subtract:

P'(5)=51.72

This tells us that at <em>exactly</em> t=5, the rate of growth is 51.72 cells per hour.

And we're done!

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3 years ago
What is an integer for negative four
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A integer for -4 would be +4
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3 years ago
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Step-by-step explanation:

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Answer:

1st, 2nd, and last.

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For the first two common rules can be applied such as n\sqrt{a/b} = \frac{\sqrt[n]{a} }{\sqrt[n]{b} } and that \sqrt[n]{\frac{a}{b} } = (\frac{a}{b})^{n}

and for the last one this is just simplifying the radical and if you factor it you realize that, \frac{750}{512} = \frac{5^3}{8^3}*6 meaning that you can take the radical off of 5/8 and end up with that final answer

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