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
Answer:
f(x) = 2x + 22, The slope is 2/1
Step-by-step explanation:
Start by combining common terms.
For example, you can't combine 2x and 5, because 2 is being multiplied by a variable.
So, take the x value: 2x
And the numerical values: 22
And combine them: f(x) = 2x + 22
This means, that you start at 22 on the y-axis and slope the line by 2/1. That means that, on a graph, the line goes up 2 points, then one point to the right.
Answer:
for plates she can buy 3 and for cups she can buy 2
Step-by-step explanation:
both multiply up to 24
Answer:
200000 times larger, its not in scientifc notation it should be 1.3*10^9, and the answer is 1.824*10^15,or182400000000000
Step-by-step explanation:
