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stepan [7]
3 years ago
14

A bacteria culture doubles every 5 hours. Determine the hourly growth rate of the bacteria

Mathematics
1 answer:
Gennadij [26K]3 years ago
5 0

\sqrt[5]{2}-1 = 1 +x - 1Answer:

14.87% per hour

Step-by-step explanation:

Let's pretend we're starting with one bacteria.

Double of one is two

We're gonna have to use this formula: A = P(1 + x)ⁿ

A = Amount (which is 2)

P = Initial amount (which is 1)

x = percentage per time (hour)

n = amount of time (hours)

So our equation will look like this:

2 = 1(1 + x)⁵

First, we need to root both sides to isolate (1 + x)

\sqrt[5]{2} = \sqrt[5]{(1+x)}

\sqrt[5]{2} = 1 +x

Then subtract both sides by 1

\sqrt[5]{2}-1 = 1 +x - 1

x=\sqrt[5]{2}-1

\sqrt[5]{2} = 1.148698355

1.148698355 - 1 = 0.148698355

x = 0.148698355

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elena55 [62]

Answer:

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3 0
3 years ago
Given P(x) = 2x3 - 11x2 + 18x - 15 is divided by x – 3. Use synthetic division to find the quotient and the remainder.
katrin [286]
You can find the remainder right away by simply plugging in x=3. The polynomial remainder theorem guarantees that the value of p(3) is the remainder upon dividing p(x) by x-3, but I digress...

Synthetic division yields

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.    |           6   -15     9
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which translates to

\dfrac{2x^3-11x^2+18x-15}{x-3}=2x^2-5x+3-\dfrac6{x-3}

(and note that p(3)=2(3)^3-11(3)^2+18(3)-15=-6, as expected)
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3 years ago
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Answer:

Step-by-step explanation:

4 0
3 years ago
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Evgesh-ka [11]
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