This is a linear equation or y=mx+c. Where y is the number of mosquitos at a particular month and x is the number of months. We know the initial population of the mosquitoes is c=20. They population doubles every month so this is the gradient, m=2. Therefore the equation for the growth of the mosquito population is:
y = 2x + 20.
So after x= 10 months the mosquito population will be,
y=2(10)+20= 40.
There will be 40 mosquitoes after ten months.
Answer: n*(3n+2)*(3n-1)
Step-by-step explanation:
Use the formula SA=a+1/2ps
a=area of the base
p= perimeter of the base
s= slant height
Answer:
The distance A’C’ is 4.47 units
Step-by-step explanation:
Before we go on, we need to get the appropriate transformation
Mathematically, we have a 90 degrees clockwise rotation yielding the following;
(x,y) to (-y,x)
A is (-4,1)
C is (-2,5)
By transforming, we have
A’( -1,-4)
C’ (-5,-2)
To get the magnitude of the line segment, we are going to use the distance formula between points
We have this as;
D = √(x2-x1)^2 + (y2-y1)^2
D = √(-5-(-1))^2 + (-2-(-4))^2
D = √(-4)^2 + (2)^2
D = √(16 + 4)
D = √20
D = 4.47 units
[~Answer~] (3.):
Hello there! I'm Avery, and I'm here to help you! I mostly believe the answer <em>Could be: (the answer is in the screenshot. I couldn't write it, so I typed it.) </em>
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[~Answer Explanation~]:
1:
Combine multiplied terms into a single fraction
2:
Find common denominator
3:
Combine fractions with common denominator
4:
Multiply the numbers
5:
Re-order terms so constants are on the left
6:
Combine exponents
7:
Rearrange terms
8:
Find common denominator
9:
Combine fractions with common denominator
10:
Re-order terms so constants are on the left
11:
Rearrange terms
12:
Multiply all terms by the same value to eliminate fraction denominators
13:
Cancel multiplied terms that are in the denominator
14:
Distribute
15:
Move terms to the left side
16:
Distribute
17:
Subtract the numbers
18:
Rearrange terms
19:
Use the quadratic formula
20:
Simplify
21:
Separate the equations
22:
Solve
Answer: z = 
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[~Last Messages~]:
Okay, I really hope my answer is correct.
I am truly sorry if it's wrong :(
Have a great morning, afternoon, or night. <333
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