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.
Sounds that you have several answer choices. If that's the case, you need to share those choices. All of them are probably inequalities.
The answer is C. y-5 < 3x-4
Hope this helps!
If we calculate the distance between two points, it is equivalent to one side of the rectangle. Using the distance formula:
d = √((x₂ - x₁)² + (y₂-y₁)²)
We compute the distance between the points (-3,2) and (5,4)
d = √((5 + 3)² + (4 - 2)²) = √68
Now, we check the next two points:
d = √((6 - 5)² + (0 - 4)² = √17
Now, we know that the adjacent sides of a rectangle are equal so the perimeter can be calculated using:
P = 2(l₁ + l₂)
P = 2(√68 + √17)
=24.7 units.
1) change 65% to a decimal = .65
2) .65 • 60 = 37.2 questions need to be right
3) since she got 42 correct, that is greater than 37.2, so she passed.
OR
1) 42/60 = 0.7
2) 0.7 to a percent = 70%
3) since she got a 70% on the test, she passed.
