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Black_prince [1.1K]
3 years ago
10

the growth of a bacteria each hour is given by the function f(x)= 5500(1.65)^x. At what percent are the bacteria growing each ho

ur?
Mathematics
1 answer:
sertanlavr [38]3 years ago
5 0
The growth function per hour is
f(x) = 5500(1.65)ˣ

To find the growth rate per hour, we should find the derivative of f(x).
Take the natural log of the equation.
ln(f) = ln[5500(1.65)ˣ]
      = ln(5500) + x ln(1.65)

Take the derivative with respect to x.
f'/f = ln(1.65) = 0.5
Therefore the derivative is
f' = 0.5f
   = 2750(1.65)ˣ
   = 275000(1.65)ˣ percent or 2.75 x 10⁵ (1.65)ˣ percent

Answer:
f^{'} \equiv \frac{df}{dx}=2.75\times10^{5}(1.65)^{x}\,percent

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Answer: D

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Answer:

d

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7 0
3 years ago
Please help!!
erastova [34]

Answer:

  180, 180, 148, 180, 148

Step-by-step explanation:

The two rules in play here are ...

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The first of these rules answers the first two questions:

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  • angles 1, 3, 4 total 180°

We can subtract the measure of angle 1 from both sides of the previous equation to find the sum of the remaining two angles.

  • angles 3 and 4 total 148°

The second rule answers the next question:

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As before, subtracting the value of angle 1 from both sides of the equation gives ...

  • angle 2 must be 148°

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<em>Additional comment</em>

Of course, the subtraction property of equality comes into play, also. For some unknown, X, you have (in both cases) ...

  X + 32° = 180°

  X +32° -32° = 180° -32° . . . . . . subtraction property of equality

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7 0
3 years ago
1
likoan [24]

Answer:

1) -
2) +

3) -
4) +

Step-by-step explanation:

сумма внутренних углов треугольника не должна превышать 180 градусов

6 0
2 years ago
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