Cual es el decimal de -2/6

Mathematics

1 answer:

Andru [333]4 years ago

4 0

Answer:

- 0.333

(repitiendo)

Step-by-step explanation:

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Sales at an airport shop has increased by 25 transactions to a total of 400 transactions per day. What is the increased transact

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If y=28 when x=168, find y when x=108.

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Answer:

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Step-by-step explanation:

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What expression is equivalent to -1/3(6x+15)-3

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Answer:

$\large\boxed{-\dfrac{1}{3}(6x+15)-3=-2x-8}$

Step-by-step explanation:

$-\dfrac{1}{3}(6x+15)-3\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=\left(-\dfrac{1}{3}\right)(6x)+\left(-\dfrac{1}{3}\right)(15)-3\\\\=-2x-5-3\\\\=-2x-8$

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A bird species in danger of extinction has a population that is decreasing exponentially (A = A0e^kt). Five years ago, the popul

Natalija [7]

Answer:

It'll take approximately 34 years from today.

Step-by-step explanation:

in order to solve this problem we first need to find the rate of change, "k", to do that we will use the given information where the population was 1400 five years ago and its now 1000. Applying this data to the equation gives us:

$A = A_0*e^{k*t}\\1000 = 1400*e^{5*k}\\1400*e^{5*k} = 1000\\e^{5*k} = \frac{1000}{1400}\\ln(e^{5*k}) = ln(\frac{1000}{1400})\\5*k = ln(1000) - ln(1400) \\k = \frac{ln(1000) - ln(1400)}{5} = -0.06729$

We now know the value for "k", we can estimate how many years it will take for the bird population to dip below 100. We have:

$100 = 1000*e^{-0.06729*t}\\e^{-0.06729*t} = \frac{100}{1000}\\ln(e^{-0.06729*t} = \frac{1}{10}\\-0.06729*t = ln(0.1)\\t = -\frac{ln(0.1)}{0.06729} = 34.22$