Answer:
db / dt = kb
this becomes b(t) = Ce^(kt)
C = 100, the initial population
P(1) = 420 = 100 e^(1k)
4.2 = e^k
ln 4.2 = k
a) thus, b(t) = 100 e^(t ln 4.2)
b) b(3) = 100 e^(3 ln 4.2)
c) growth constant will still be ln 4.2 (constant percentage of populatioin)
d) 10000 = 100 e^(t ln 4.2)
100 = e^(t ln 4.2)
ln 100 = t ln 4.2
t = ln 100 / ln 4.2
Step-by-step explanation:
Answer:
4:10 and 6:15 are equivalent to 2:5
Answer: 9/29
Step-by-step explanation:
Add all songs up. 29
Add pop and rap songs up. 9
The points you are looking for are the midpoints of segments JL and JK.
J(-2, -1), K(4, -5), L(0, -5)
The midpoint of segment JL is
(-2 + 0)/2, (-1 + (-5))/2) = (-2/2, -6/2) = (-1, -3)
The midpoint of segment JK is
(-2 + 4)/2, (-1 + (-5))/2) = (2/2, -6/2) = (1, -3)
Answer: The coordinates are (-1, -3), (1, -3)
Plug in two values for x, say, 0 and 1.
Lets start with solving the equation when x=0.
y=2(0)-3
y=0-3
y=-3.
So, when x=0, y=-3. Graph (0, -3)
Next, x=1
y=2(1)-3
y=2-3
y=-1
So, when x=1, y=-1. Graph (1,-1)
Draw a line between the two points, and that should be your answer! Hope this helped :)
