After, thorough research I believe that there are 265 pine trees and 0 elm trees since decidous and semi-decidous do not grow near conifers.
The general solution for the given equation is 40°+120°n.
The period of g(x) is π.
The range of f(x) is [-1, 1].
- sin(x-30°) = cos 2x
- sin(x-30°) = sin(90°-2x)
- (x-30°) = (90°-2x) + 360°n
- x + 2x = 90° + 30° + 360°n
- 3x = 120° + 360°n
- x = (120° + 360°n)/3
- The general solution (x) is 40° + 120°n.
- g(x) = cos 2x
- The period of cos x is 2π.
- If the multiplying factor of x is 'n', then it decreases the period by n times.
- Here, in g(x), n is 2.
- The period of g(x) is equal to half the period of cos x.
- The period of g(x) = 2π/2
- The period of g(x) is π.
- f(x) = sin(x-30°)
- "Sin" is a trigonometric function which has a range from -1 to 1.
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We are given the following expression:
![\sqrt[3]{875}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B875%7D)
We can factor 875 as:
![\sqrt[3]{125\times7}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B125%5Ctimes7%7D)
Now we will use the following property:
![\sqrt[x]{a\times b}=\sqrt[x]{a}\times\sqrt[x]{b}](https://tex.z-dn.net/?f=%5Csqrt%5Bx%5D%7Ba%5Ctimes%20b%7D%3D%5Csqrt%5Bx%5D%7Ba%7D%5Ctimes%5Csqrt%5Bx%5D%7Bb%7D)
Applying the property:
![\sqrt[3]{125}\times\sqrt[3]{7}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B125%7D%5Ctimes%5Csqrt%5B3%5D%7B7%7D)
Solving the cubic root on the left:
![5\sqrt[3]{7}](https://tex.z-dn.net/?f=5%5Csqrt%5B3%5D%7B7%7D)
Since we get simplify any further this is the answer.
Answer:
Simón arre que si cuando quieras
Answer:
Function: absolute value function
Transformations: Vertical stretch by a factor of 2, horizontal shift three units to the left, and vertical shift five units down.
Let me know if this helps!
