Answer:
6.5
Step-by-step explanation:
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
1) In school, you will encounter percentages on class assignments to see how much progress you made in an subject.
2) On a cell phone, you encounter percentages by how much your cell phone is charged in order to know if you need to charge the battery or not.
Answer:
-2n - 12
Step-by-step explanation:
Combine like terms. Note that each term has one variable (n). Also note that one negative sign and one positive sign results in a negative sign.
-6n + (-12) + 4n = -6n + 4n - 12 = -2n - 12
-2n - 12 is your answer
~
Answer:
13.70
Step-by-step explanation:
a^2+b^2=c^2
a = side 1
b = side 2
c = hypotenuse
9.2^2 + b^2 = 16.5^2
272.25 - 84.64 = 187.61 =b^2
√187.61 = b = 13.697 = 13.70
