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salantis [7]
3 years ago
14

Convert the decimal to a percent. 0.007

Mathematics
2 answers:
alexandr1967 [171]3 years ago
6 0

<u><em>Hello There!</em></u>

<u><em></em></u>

<u><em>"Percent" means "per 100" or "over 100". So, to convert 0.007 to percent we rewrite 0.007 in terms of "per 100" or over 100.</em></u>

<u><em></em></u>

<u><em>Multiply 0.007 by 100/100. Since 100/100 = 1, we are only multiplying by 1 and not changing the value of our number.</em></u>

<u><em></em></u>

\frac{0.007}{1} X \frac{100}{100} = \frac{0.7}{100}

Therefore, we have shown that

0.007 = 0.7%

Tanya [424]3 years ago
3 0
To convert a decimal to a percent simply just move the decimal point two places to the right and add the percent sign;
0.007 = 0.7%
Hope that helps:D
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Answer:

the maximum concentration of the antibiotic during the first 12 hours is 1.185 \mu g/mL at t= 2 hours.

Step-by-step explanation:

We are given the following information:

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First, we differentiate C(t) with respect to t, to get,

\frac{d(C(t))}{dt} = 8(-0.4e^{(-0.4t)}+ 0.6e^{(-0.6t)})

Equating the first derivative to zero, we get,

\frac{d(C(t))}{dt} = 0\\\\8(-0.4e^{(-0.4t)}+ 0.6e^{(-0.6t)}) = 0

Solving, we get,

8(-0.4e^{(-0.4t)}+ 0.6e^{(-0.6t)}) = 0\\\displaystyle\frac{e^{-0.4}}{e^{-0.6}} = \frac{0.6}{0.4}\\\\e^{0.2t} = 1.5\\\\t = \frac{ln(1.5)}{0.2}\\\\t \approx 2

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C(0) = 8(e^{(0)}-e^{(0)}) = 0

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C(2) = 8(e^{(-0.8)}-e^{(-1.2)}) = 1.185

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C(12) = 8(e^{(-4.8)}-e^{(-7.2)}) = 0.059

Thus, the maximum concentration of the antibiotic during the first 12 hours is 1.185 \mu g/mL at t= 2 hours.

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