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:
17e+18
Step-by-step explanation:
9e+4=-5e+14+13e
4e+4+14+13e
17e+4+14
17e+18
Answer:
Step-by-step explanation:
-9/10 or -0.9
Answer:
Step-by-step explanation:
have the triangles written in the same order to se the corresponding angles
C A . T
⇵ . ⇵ . ⇵
D O . G
∠D ≅∠C
∠O ≅∠A
GD ≅TC
10.
you have an isosceles triangle with vertex angle 48 so the base angle is
(180-48)/2 = 66
32+ x = 66 because is an exterior angle
x= 66-32 = 34
V = (4/3)π.R³
Diameter - 24 units so Radius = 24/2 = 12 Inits
V= (4π/3).12³ =(4π/3). 1728
V=1728 x 4/3 x π = 2,304.π units³