Answer:
y'(t) = k(700,000-y(t)) k>0 is the constant of proportionality
y(0) =0
Step-by-step explanation:
(a.) Formulate a differential equation and initial condition for y(t) = the number of people who have heard the news t days after it has happened.
If we suppose that news spreads through a city of fixed size of 700,000 people at a time rate proportional to the number of people who have not heard the news that means
<em>dy/dt = k(700,000-y(t)) </em>where k is some constant of proportionality.
Since no one has heard the news at first, we have
<em>y(0) = 0 (initial condition)
</em>
We can then state the initial value problem as
y'(t) = k(700,000-y(t))
y(0) =0
Can the sides of a triangle have lengths 8, 11, and 17? yes no Submit
Answer:8
Step-by-step explanation:
Answer:
20; but check again and make sure the equation set up correlates with what you're learning about
Step-by-step explanation:
5/(5-2)! = 5/3! --->> 5*4=20
Step-by-step explanation:
8 /3 c - 2 = 2/3 c - 12
Put all the one u want to solve to one side
8 /3 c - 2 = 2/3 c - 12
8/3c - 2/3c = 2-12
6/3c = - 10
Now multiply 3c to both sides
6 = - 30c
c = 6/ - 30
= 1 / - 5
= 1
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5
