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
Hey there!
10 to the fifth power is equivalent to the expression:
10 x 10 x 10 x 10 x 10 because you are multiplying 10 by 10 5 times.
Hope this helps you.
Have a great day!
Answer:
C
Step-by-step explanation:
The elevati0on of sea level is 0 km and the elevation of the summit is 10 km
Answer:
6%
Step-by-step explanation:
Using the formula I=PRT we have 96.12=(267)R(6). we simplify the right by doing the multiplication 267x6 so we have 96.12=1602R. again using algebra we divide both sides by 1602 to isolate R. we get R=0.06 and when converted to a percent is 6%.
30 seconds for the whole length, so 1 min for 2 lengths meaning 2 • 10 = 20 lengths
