Answer:
(1-q^2 r^2) x (1+q^2 r^2)
Answer:
<em>Proof below</em>
Step-by-step explanation:
<u>Exponential Grow Model</u>
The equation to model some time dependant event as an exponential is

Where Ao is the initial value, k is a constant and t is the time. With the value of Ao and k, we can compute the value of A for any time
We are required to find the time when the population being modeled doubles from Ao to 2 Ao. We need to solve the equation

Simplifying by Ao

Taking logarithms in both sides

By properties of logarithms and since lne=1

Solving for t

Hence proven
Answer:
10/13
Step-by-step explanation:
There are 52 cards in a standard deck. There are 4 queens (queen of spades, clubs, hearts, diamonds) and 36 (2 - 10 of four suites) number cards. Therefore the probability of drawing a queen or a number card is (4 + 36)/52 = 40/52 = 10/13.
Since the perimeter of the square is 28ft, the side length of the square is 7ft.
Hence, the area of the square is 49 square feet.
Answer:
x + 13 < 50
Step-by-step explanation: