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:
First add 5 to right side

Next , to cancel the 7, you need to multiply by 7 on both sides
I say that the answer is 7 bc it’s -8+15
Answer:
A. -5 - 3x > 10
Step-by-step explanation:
x = -6
A. -5 - 3(-6) > 10
-5 + 18 = 13 > 10
true
B. -3 - 5(-6) < -14
-3 + 30 = 27 < -14
false
C. 1 - 2(-6) > 13
1 + 12 = 13 > 13
false
D. 2 - (-6) <-3
2 + 6 = 8 < -3
false
Answer:
3/4 of the area of the circle is of
squared units.
Step-by-step explanation:
Equation of a circle:
The equation of a circle has the following format:

In which the center is
and r is the radius.
Area of a circle:
The area of a circle of radius r is given by:

Circle (x+2)² + (y-5)² = 64
Comparing with the standard equation, we have that:

Area of the circle:

What is 3/4 of its area?

3/4 of the area of the circle is of
squared units.