Answer:
The answer is shown below
Step-by-step explanation:
Let y(t) be the fraction of the population that has heard the rumor at time t and assume that the rate at which the rumor spreads is proportional to the product of the fraction y of the population that has heard the rumor and the fraction 1−y that has not yet heard the rumor.
a)

where k is the constant of proportionality, dy/dt = rate at which the rumor spreads
b)


At t = 2, y = 40% = 0.4
c) At y = 75% = 0.75

For this case we have the following equation:

We apply distributive property on the left side of the equation:

We simplify the left side of the equation:

Different signs are subtracted and the major sign is placed.

On the right side we must take into account that:

So:

We add x to both sides of the equation:

We subtract 2 from both sides of the equation:

We multiply by 3 on both sides of the equation:

We divide by 8 on both sides of the equation:

Thus, the solution of the equation is:

Answer:

Hello!
When finding the perimeter of a rectangle, you have to consider the properties of a rectangle. A rectangle has two pairs of equal sides where one is the width, while the other one is the length.
Now looking back at your question, it says "... a rectangle that is x units wide" ⇒ you let the width = x ; this is the same with "y units long" ⇒ length = y. Perimeter can just be : P = 24.
Therefore,
The equation would be:
x + x + y + y = P.
2x + 2y = P.
(Sub in P = 24)
∴ 2x + 2y = 24. (This should be your answer.)
:) Good luck (Message me if you have any problem)
Hey there! I'm happy to help!
To find the volume of a rectangular prism, you simply multiply each of the three different sides!
18×9×17=2754
Therefore, the volume of this rectangular prism is c. 2754 units cubed.
Now you can find the volume of a rectangular prism! Have a wonderful day!
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