Answer: 1,599,960
Step-by-step explanation:
Since the population of crawfish in a section of the Louisiana bayou increased from 900,000 to 1.2 million between 2010 and 2011. The percentage increase in population will be:
= (1.2 million - 900000) / 900000 × 100
= 300000/900000 × 100
= 33.33%
Since the population increases by the same percentage between 2011 and 2012, then the population in 2012 will be:
= (100% + 33.33%) × 1.2 million
= 133.33% × 1.2 million
= 1.3333 × 1.2 million
= 1,599,960
The population in 2012 is 1,599,960
Answer:
x ≥ -6
Step-by-step explanation:
-3x-7 ≤ 11
-3x-7+7 ≤ 11+7
-3x ≤ 18
(-3x)(1) ≤ 18(-1)
3x ≤ -183x/3 ≤ -18/3
We are given that two lines are cutting by a transversal line.
We can see that angle <1 and angle 78 degree are Consecutive Interior Angles.
Note: When two parallel lines cut by a transversal line, the each pair of angles inside the parallel lines on the same side of the transversal are called Consecutive Interior Angles.
Also please note that two Consecutive Interior Angles are supplementary.
In simple words, the sum of two Consecutive Interior Angles is 180 degree.
So, we can apply supplementary angles property of Consecutive Interior Angles to find the angle <1 and given angle 78 degrees in the given diagram.
Therefore, <1 + 78 = 180°.
Subtracting 78 from both sides, we get
<1=102°.
Therefore, <1=102°.
The values on the interval [0, 2π) that makes f (θ) equal to g(θ) is; A: 0, π
<h3>How to solve Trigonometric Functions?</h3>
We are given the trigonometric functions;
f(θ) = 4sin θ + 1
g(θ) = cos 2θ
We know from trigonometric identities that;
cos 2θ = 1 - 2sin²θ
At f(θ) = g(θ), we have;
4sin θ + 1 = 1 - 2sin²θ
2sin²θ + 4sin θ = 0
2sinθ(sin θ + 2) = 0
2sinθ = 0
θ = sin⁻¹(0/2)
θ = 0, π
Read more about Trigonometric Functions at; brainly.com/question/6904750
#SPJ1