Answer:
Population of dice mice after one year = 2000
Population of wood rats after one year = 1000
The population of deer mice is growing faster than the popular of wood rats
Step-by-step explanation:
The expression for population = dN/dt = rN
Upon integration N = rN²/2
Therefore for population N = 200 and r= 0.1
N after one year = (0.1 x 200²)/ 2 = 2000
Therefore for population N = 100 and r= 0.2
N after one year = (0.2 x 100²)/ 2 = 1000
Hence the population of deer mice is growing faster than the popular of wood rats
Finding the inverse function:
We are given a function y = f(x). To find the inverse function, we exchange x with y in the original function, and then isolate y.
So
We are given the function:
So
Changing x with y
Now, we have to isolate y. So
We can apply the fifth root to both sides. So:
![\sqrt[5]{(y+7)^5}=\sqrt[5]{x}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B%28y%2B7%29%5E5%7D%3D%5Csqrt%5B5%5D%7Bx%7D)
![y+7=\sqrt[5]{x}](https://tex.z-dn.net/?f=y%2B7%3D%5Csqrt%5B5%5D%7Bx%7D)
![f^{-1}(x)=y=\sqrt[5]{x}-7](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3Dy%3D%5Csqrt%5B5%5D%7Bx%7D-7)
Answer:
B option is right
Step-by-step explanation:
These 3 will form a 3d system.
Angle measures are ∠M = 90° and ∠L = 24°
Step-by-step explanation:
- Step 1: In the figure, LM is a tangent to the circle N at point M.
Tangents create right angles at the point of contact with a circle.
So ∠M = 90°
- Step 2: Sum of angles in a triangle is equal to 180°
⇒ ∠L = 180° - (∠M + ∠N) = 180° - (90° + 66°)
= 180° - 156° = 24°
Answer:
Step-by-step explanation:
