Answer:
.................................
Step-by-step explanation:
O
The population Pa of insect A after t years is given by the equation
Pa = 1.3(1-0.038)^t
while the population Pb of insect B after t years is
Pb = 2.1(1-0.046)^t
We equate the above expressions to find the number of years t it will take the two populations to be equal:
Pa = Pb
1.3(1-0.038)^t = 2.1(1-0.046)^t
1.3(0.962)^t = 2.1(0.954)^t
These are the equations that can be used to determine how long it will be before the populations of the two species are equal.
We can now solve for t:
(0.962)^t / (0.954)^t = 2.1/1.3
(0.962/0.954)^t = 2.1/1.3
After taking the log of both sides of our equation, number of years t is
t = log (2.1/1.3) / log (0.962/0.954)
t = 57 years
Therefore, it will take 57 years for the population of insect A to equal the population of insect B.
A number cube is a die (singular for dice). List all of the possible outcomes of a die (list numbers of 1 to 6), and next to those numbers, determine if they are even or odd.
Answer:
Option A: 
is the correct answer.
Step-by-step explanation:
Given that:
Slope of the line = 
Let,
m be the slope of the line perpendicular to the line with slope
We know that,
The product of slopes of two perpendicular lines is equals to -1.
Therefore,
Multiplying both sides by 
m =
is the slope of the line perpendicular to the line having slope
Hence,
Option A: is the correct answer.
