Answer:
A) 952 insects are in the original colony
B) 10494 insects are in the colony after 20 weeks
C) 25 weeks
Explanations:
The model representing the population of the species of insects
An exponential growth is of the form:
where P₀ is the original population
t is the time taken in weeks
Comparing the two equations:
952 insects are in the original colony
B. The number of insects that will be in the colony after 20 weeks
Substituting t = 20 into the function given
C) If the population, P = 20000
I believe it should be B.156 square feet because in order to find the area of a square, you gotta multiply 13ft and 12ft. Once that is solved your answer should be 156.
40 * 7.85 = 314
32.24 + 24.02 + 24.53 = 80.79
314 - 80.79 = 233.21
Answer is D
Step-by-step explanation:
x+8=10
x−4=22
x÷3=6
7x=28
60=30+30=6+6+6+6+6+6+6+6+6+6
a=a
a=b,thenb=a
60=30+30,then30+30=60
ifa=bandb=c,thena=c
60=30+30
30+30=6+6+6+6+6+6+6+6+6+6
60=6+6+6+6+6+6+6+6+6+6
Equation 1) -x - y - z = -8
Equation 2) -4x + 4y + 5z = 7
Equation 3) 2x + 2z = 4
Solving for three variables is quite similar to solving for two variables. Just like when solving for two variables, you look for like variables & solve them one-by-one. So, let's get started! :)
Multiply ALL of equation 1 by four.
1) 4(-x - y - z = -8)
Simplify.
1) -4x - 4y - 4z = -32
Both equations 1 & 2 have the same three variables (x, y, z), so, we must look at these equations together.
1) -4x - 4y - 4z = -32
2) -4x + 4y + 5z = 7
Add these equations together, and create a fourth equation.
4) -8x - z = -25
Now, notice how both equations 3 & 4 have the same two variables (x, z).
So, we must look at these equations together.
3) 2x + 2z = 4
4) -8x - z = -25
Multiply ALL of equation 4 by 2.
4) 2(-8x - z = -25)
Simplify.
4) -16x - 2z =-50
3) 2x + 2z = 4
Now, add the equations together, so that we can solve for x.
-14x = -42
Divide both sides by -14.
x = 3
Now, plug in 3 for x into our 3rd equation.
3) 2x + 2z = 4
3) 2(3) + 2z = 4
Simplify.
6 + 2z = 4
Subtract 6 from both sides.
2z = 4 - 6
Simplify.
2z = -2
Divide both sides by 2.
z = -1
Now, plug in -1 for z & 3 for x in our 1st equation.
1) -x - y - z = -8
-(3) - y - (-1) = -8
Simplify.
-3 - y + 1 = -8
Simplify.
-2 - y = -8
Add 2 to both sides.
-y = -8 + 2
Simplify.
-y = -6
Divide both sides by -1.
y = 6
SO :
x = 3, y = 6, z = -1
~Hope I helped!~
