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
I believe it is 56 because 7•8 is 56 and 1•56 is 56
B is definatly the correct answer, Add all of the prices, and that is what it costs per sweatshirt
Well
if it is marked 1/3 off, then you're actually paying 2/3 of it.
2/3 of 123. " of " means multiply
2/3 * 123 = 246/3 = 82 So it now costs $ 82
Answer:
Here Ariel is wrong because 3x^3 is higher power than y^2
3x^3 goes first
then the mixed term -4x^2y
then the y^2
then the 2
So, Marcus is right
Standard form means that you write the terms by descending degree. here's main rules how to write polynomial expression in the standard form:
1. write the term with the highest exponent first (terms of third degree in our case 3x^3 );
2. write the terms with lower exponents in descending order (term -4x^2y followed by y^2
);
3. remember that a variable with no exponent has an understood exponent of 1 (here are no such terms);
4. a constant term (a number with no variable) always goes last (term 2).