The number of ants in his farm after 12 weeks is 218.
Step-by-step explanation:
Step 1:
It is given that there are 15 ants initially and the ant population increases by 25% each week.
This is an exponential rate of increase that can be modeled by the following equation:
Number of ants after n weeks = Initial number of ants * ![(1 + rate of increase) ^{n}](https://tex.z-dn.net/?f=%281%20%2B%20rate%20of%20increase%29%20%5E%7Bn%7D)
Step 2:
Rate of increase = 25% = 25 / 100 = 0.25
Number of weeks = 12
Number of ants after 12 weeks = 15*
= 218.27 (rounded off to 218)
Step 3:
Answer:
The number of ants in his farm after 12 weeks is 218.
Answer:
24
Step-by-step explanation:
F R E D
F R D E
F E R D
F E D R
F D E R
F D R E
so for each letter u have 6 so 4 x 6=24
Answer:
The radius of the circle is 4 meters.
Thus, 2nd option is correct.
Step-by-step explanation:
Given
Area of a circle = 16π squared meters.
To determine
The radius of the circle = r = ?
Using the formula
Area of circle = πr²
substitute Area of circle = 16π and in the equation
16π = πr²
switch the sides
πr² = 16π
divide both sides by π
πr²/π = 16π / π
r² = 16
r = 4, r = -4
As radiud can not be negative, so
r = 4 meters
Therefore, the radius of the circle is 4 meters.
Thus, 2nd option is correct.
Answer: Review the picture. This is the formula.
Step-by-step explanation: Just multiply the terms and you’ll get the volume. Remember to not measure the diameter but half of that which is the radius! I hope this helps but please comment down below if you need more help!
The solutions to the given quadratic equation are as follows:
x = 1.10, x = 10.9.
<h3>What is a quadratic function?</h3>
A quadratic function is given according to the following rule:
![y = ax^2 + bx + c](https://tex.z-dn.net/?f=y%20%3D%20ax%5E2%20%2B%20bx%20%2B%20c)
The solutions are:
In which:
![\Delta = b^2 - 4ac](https://tex.z-dn.net/?f=%5CDelta%20%3D%20b%5E2%20-%204ac)
For this problem, the equation in item D is:
-x² + 12x - 12 = 0
x² - 12x + 12 = 0
Hence the coefficients are:
a = 1, b = -12, c = 12.
Then the solutions to the equation are found as follows:
- Delta = (-12)² - 4 x 1 x 12 = 96
- x1 = 0.5(12 + sqrt(96)) = 10.9
- x2 = 0.5(12 - sqrt(96)) = 1.10
The solutions are:
x = 1.10, x = 10.9.
More can be learned about quadratic functions at brainly.com/question/24737967
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