Answer:
9 thousandths
Step-by-step explanation:
3 is tenths
5 is hundredths
9 is thousandths
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:
Step-by-step explanation:
The perimeter of a polygon is equal to the sum of its sides.
The sides in the triangle shown have lengths 
, 
, and 
in no specific order.
Since its perimeter is given by the sum of its sides, the perimeter is equal to:
Combine like terms:
<em>-7 -5 / 4 -2 / -12/2 </em>
<em>-12/2 = -6 </em>
<em>Slope: -6x </em>
<em>5 = 2(-6) + b</em>
<em>5 = -12 + b </em>
<em>-12 + 17 = 5 </em>
<em>Slope intercept Form: y = -6x + 17</em>
X - 3 < 9 or x + 5 ≥ 10
+ 3 + 3 - 5 - 5
x < 12 or x ≥ 5
Solution Set: {x|x < 12 or x ≥ 5}, (-∞, 12) or (5, ∞)
