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Afina-wow [57]
4 years ago
15

Find the equation of the line in slope-intercept form.Slope is 3/5 and (0, −2)

Mathematics
1 answer:
Nadya [2.5K]4 years ago
8 0

Answer:

y = \frac{3}{5}x - 2

Step-by-step explanation:

Using the point slope form of a line equation, substitute m = 3/5 and the point (0,-2).

y - y_1 = m(x-x_1)\\y --2 = \frac{3}{5}(x - 0)\\y + 2 = \frac{3}{5}x \\ y = \frac{3}{5}x - 2

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Answer:

24 hours

Step-by-step explanation:

If 12 workers take 10 hours to build a wall, assuming they build at the same rate, it would take one worker 120 hours to build a wall.

By this logic, it would take 120/5 or 24 hours for 5 workers to build a wall

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3 years ago
For the following system, determine if a steady state exists and give the steady state value. The population of a colony of squi
Anettt [7]

Answer:

Option A)

\displaystyle\lim_{t\to\infty}~p(t) = k

Step-by-step explanation:

We are given the following on the question:

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For steady state solution we evaluate:

\displaystyle\lim_{t\to\infty}~p(t)\\\\= \lim_{x\to\infty} \frac{4000}{4+e^{-0.02t}}\\\\=\frac{4000}{4+e^{-\infty}}\\\\=\frac{4000}{4}\\\\= 1000

Thus, the steady state solution is a constant, k = 1000.

Thus, the correct answer is

Option A)

\displaystyle\lim_{t\to\infty}~p(t) = k

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