Answer:
2.5e-0.04x = 1.2 + 0.2x
Step-by-step explanation:
Given that:
Insect A:
Initial population, Po = 2.5 million
Rate of decline = 4%
Insect B:
Initial Population (Po) = 1.2 million
Yearly increase = 200,000 = (200,000/1,000,000) = 0.2
For insect A:
P(t) = Po(1 - r)^t = Po*e^-rt
Po*e^-rt = 2.5e^-0.04t ----(1)
For Insect B:
P(t) = Po + (yearly increase) * t
P(t) = 1.2 + 0.2t - - - - - (2)
Equating (1) and (2)
2.5e^-0.04t = 1.2 + 0.2t
Answer:
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Given:
The International Space Station takes 644 minutes to orbit Earth 7 times.
To find:
The time taken by each orbit.
Solution:
Total time = 644 minutes
Total number of orbits =7
Now,
So, the required time is 92 minutes.
Therefore, you are correct and all options are incorrect.
Hey there!
ANSWER: <u>vertex</u>
<h2>
EXPLANATION:</h2>
Fill in the blank:
The endpoint is the <u>vertex</u> of the angle.
This is your answer because an angle is formed by two rays which are the sides of an angle and they have an endpoint called the vertex.
Hope this helps!
Turn each number into the product of it's prime factors.
32=16x2=2x2x2x2x2=2^5
48=24*2=6x4x2=2x3x2x2x2
Pick the highest number that occurs. In this case it is 2. Now we have to see how many times it appears in both. It appears 5 times in 32 and 4 times in 48. 4 is the highest number of times it appears in the numbers so:
2^4=2x2x2x2=16
The Greatest Common Factor (GCF) of 32 and 48 is 16.
