60, because 120 is bigger than a right angle, and the picture shows that it is definitely smaller than a right angle.
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:
10.8 kg
Step-by-step explanation:
w = 80 + 5.4t
At time 0, when he starts the diet, his initial weight is
w = 80 + 5.4(0)
w = 80
80 kg.
After 2 months, t = 2. His weight is
w = 80 + 5.4t
w = 80 + 5.4(2)
w = 80 + 10.8
w = 90.8
90.8 kg.
His gain in 2 months was 90.8 kg - 80 kg = 10.8 kg
Answer: 10.8 kg
