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3 years ago

Find the greatest common divisor of 198 and 36.

Mathematics

1 answer:

ruslelena [56]3 years ago

5 0

The greatest common divisor is 18

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Re-write the quadratic function below in Standard Form<br> y=5(x + 1)^2+9

omeli [17]

Answer:

y = 5x^2+10x +14

Step-by-step explanation:

y = 5(x+1)^2+9

= 5(x^2+2x+1)+9

= 5x^2+10x +14

4 0

3 years ago

If it takes 10 women 8 days to make 3 treehouses, how many days does it take 6 women to make 36 treehouses

umka2103 [35]

Answer:

160 days

Step-by-step explanation:

If it takes 8 days with 10 women to make 3 tree houses, then the rate of woman per tree house is 3/80. Multiplying this by 6 and dividing by 36, you get a rate of 1/160 or 160 days. Hope this helps!

6 0

3 years ago

1 - 2/4=?????<br>I forgot how too do these T-T

Tema [17]

Answer:

1/2

Step-by-step explanation:

you can simply the fraction making it 1/2 and 1 - 1/2 = 1/2

3 0

3 years ago

Read 2 more answers

Sketch the equilibrium solutions for the following DE and use them to determine the behavior of the solutions.

GREYUIT [131]

Answer:

$y=\dfrac{1}{1-Ke^{-t}}$

Step-by-step explanation:

Given

The given equation is a differential equation

$\dfrac{dy}{dt}=y-y^2$

$\dfrac{dy}{dt}=-(y^2-y)$

By separating variable

⇒ $\dfrac{dy}{(y^2-y)}=-t$

$\left(\dfrac{1}{y-1}-\dfrac{1}{y}\right)dy=-dt$

Now by taking integration both side

$\int\left(\dfrac{1}{y-1}-\dfrac{1}{y}\right)dy=-\int dt$

⇒ $\ln (y-1)-\ln y=-t+C$

Where C is the constant

$\ln \dfrac{y-1}{y}=-t+C$

$\dfrac{y-1}{y}=e^{-t+c}$

$\dfrac{y-1}{y}=Ke^{-t}$

$y=\dfrac{1}{1-Ke^{-t}}$

from above equation we can say that

When t will increases in positive direction then $e^{-t}$ will decreases it means that ${1-Ke^{-t}}$ will increases, so y will decreases. Similarly in the case of negative t.