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Alex_Xolod [135]

3 years ago

13

What can you do to make 50 into 15. And do the same thing to 60 so they can both be divided equally because they are not the sam

e number at the end.

1 answer:

Virty [35]3 years ago

4 0

Simplify the numbers
like...
5 10 15 20 25 30 35 40 45 50 55 60

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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:

$p(t) =\displaystyle\frac{4000}{4+e^{-0.02t}}$

where p(t) is the population of a colony.

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)

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

8 0

2 years ago

A half game in football is 45 min. At one point, a half was extended so that it was 48 minutes 30 seconds long. By what percenta

kozerog [31]

Answer:

8%

Step-by-step explanation:

Multiply the number 45 by at least 1 point 0 something and therefore. We can assume that a 5% increase is around 47 minutes and 15 seconds and a 10% increase is around 49 minutes and 30 seconds ranging for you to use from 6% to 9%. The exact answer for the increase is around 7.78%, for me, I would plug in the equation like 45*1.7 and 45*1.8 on the calculator for more accuracy since you would need to round to the full percentage if it's between 7.5% to the exact number, it would be fully rounded to 8% since you would need at least a 5 to round up.

3 0

2 years ago

What is the equation of the line that passes through (6, 1) and is perpendicular to the line y 3x+2? CI) At what angle do the li

Andrews [41]

Answer with explanation:

The equation of any line with slope 'm' and passing through any point $(x_1,y_1)$ is given by

$y=mx+(y_1-mx_1)$

As we know that the general equation of a line with slope 'm' is $y=mx+c$

Comparing with the given equation $y=3x+2$ we can conclude slope of the given line is $m_1=3$

Now we know that the product of slopes of perpendicular lines is -1

Mathematically we can write for perpendicular lines

$m_1\times m_2=-1$

Thus the slope of the required line is obtained from the above relation since it is given that they are perpendicular

$3\times m_{2}=-1\\\\\therefore m_{2}=\frac{-1}{3}$

Hence using the given and the obtained values the equation of the required line is

$y=-\frac{1}{3}x+(1-\frac{-1}{3}\times 6)}\\\\y=\frac{-x}{3}+3$

Part b)

The angle of intersection between 2 lines with slopes $m_{1},m_2$ is given by

$\theta =tan^{-1}(\frac{m_2-m_1}{1+m_1m_2})$

Comparing the equations of given lines

$y=6x+3\\\\y=2x+3$

with the standard equation we get

$m_{1}=6\\\\m_{2}=2$

Thus the angle of intersection becomes

$\theta =tan^{-1}(\frac{2-6}{1+2\times6})=17.10$

8 0

3 years ago

G(x)=-3X-1<br>What is g(10)?_

Kazeer [188]

Answer:

-31

Step-by-step explanation:

g(x) = -3x - 1

g(10) = -3(10) - 1

g(10) = -30 - 1

g(10) = -31

4 0

2 years ago

Greg is 3 years older than Kevin. In seven years, the sum of their ages will be 41. How old is each now ?

Artist 52 [7]

Let their ages be g and k. Then g = k + 3.

Next: (g+7) + (k+7) = 41.

Substituting k + 3 for g in the above equation, we get k + 3 + 7 + k + 7 = 41.

Combining like terms: 2k + 17 = 41. Then 2k = 24, and k = 12.

Kevin is 12 years old and Greg is 15 years.

3 0

2 years ago