Complete question is;
A skull cleaning factory cleans animal skulls and other types of animals using flesh eating Beatles. The factory owner started with only 13 adult beetles.
After 35 days, the beetle population grew to 26 adult beetles. How long did it take before the beetle population was 13,000 beetles?
Answer:
349 days.
Step-by-step explanation:
We are given;
Initial amount of adult beetles; A_o = 13
Amount of adult beetles after 35 days; A_35 = 26
Thus can be solved using the exponential formua;
A_t = A_o × e^(kt)
Where A_t is the amount after time t, t is the time and k is a constant.
Plugging in the relevant values;
26 = 13 × e^(35k)
e^(35k) = 26/13
e^(35k) = 2
35k = In 2
35k = 0.6931
k = 0.6931/35
k = 0.0198
Now,when the beetle population is 12000,we can find the time from;
13000 = 13 × e^(k × 0.0198)
e^(k × 0.0198) = 13000/13
e^(k × 0.0198) = 1000
0.0198k = In 1000
0.0198k = 6.9078
k = 6.9078/0.0198
k ≈ 349 days.
The value of side length x is equal 6.05 in
<h3>Perimeter of a Square</h3>
The perimeter of a square is given as the sum of the total sides in the square or 4 multiplied by the side length of the square since they all have equal sides.
Mathematically, this can be written as

In this given question, the side length is equal to x and the perimeter of the square is given as 24.2in.
Let's substitute the values

The side length of the square is equal to 6.05in
Learn more on perimeter of square here;
brainly.com/question/24487155
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complete question
Write and solve an equation to find the unknown side length x (in inches).
Perimeter =24.2 in. assuming the figure is a square
63 i believe..
3 divided by 2 is 1.5
1.5 times 42 is 63
Answer
Midpoint = (3, 5.5)
Step by step explanation
Here we have to use the midpoint formula.
Midpoint = (
)
Here the point A = (-1, 8) and B = (7, 3)
x1 = -1, y1 = 8, x2 = 7 and y2 = 3
Now plug in these values into the formula.
Midpoint = (
= (6/2, 11/2)
= (3, 5.5)
Therefore, the midpoint the line segment AB is (3, 5.5)
Thank you.