Answer:
D.
Step-by-step explanation:
Look for the closed circle with the arrow pointing to the right on this one.
Answer:
We need to know the other marbles in the bag and how many there are of each.
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:
we are given with two terms: 20 k and 50. In this case, we are asked in the problem to factor the two terms forming the expression. The common factor of 20k and 50 is 10 because the two terms are divisible by it. The answer hence is 10*(2k +5)
Step-by-step explanation:
Answer is number one. The number inside the bracket is the time and the number after the equal sign is the height. As you can see, at t=5, height=75.