The answer is line segment
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.
Answer:
x = 3
Step-by-step explanation:
Given
4 : 8 = x : 6, expressing in ratio form, that is
=
( cross- multiply )
8x = 24 ( divide both sides by 8 )
x = 3
Thus 4 : 8 = 3 : 6
Answer:
It would be the graph that has point (0,12) and is decreasing to the right.
The correct answer for this question is this one: "2.5"
Lena is asked to write an explicit formula for the graphed geometric sequence. The value, written as a decimal, should Lena use as the common ratio that is 2.5There exists the same question from other source with the image is shown.
Hope this helps answer your question and have a nice day ahead.