Answer:
A. On the first day, 3 leaves fall.
B. D. The number of leaves that fall on a given day is 2 times the number of leaves that fell on the previous day.
Step-by-step explanation:
Given
![f(n) = 3(2)^n](https://tex.z-dn.net/?f=f%28n%29%20%3D%203%282%29%5En)
Solving (a) The meaning of 3.
3 represents the initial number of leaves (i.e. the first day) and this proved as follows.
On the first day, n = 0.
Substitute 0 for n in ![f(n) = 3(2)^n](https://tex.z-dn.net/?f=f%28n%29%20%3D%203%282%29%5En)
![f(0) = 3(2)^0](https://tex.z-dn.net/?f=f%280%29%20%3D%203%282%29%5E0)
![f(0) = 3*1](https://tex.z-dn.net/?f=f%280%29%20%3D%203%2A1)
![f(0) = 3](https://tex.z-dn.net/?f=f%280%29%20%3D%203)
Solving (b) The meaning of 2.
2 represents the rate which leaves fall down.
In (a)
![f(0) = 3](https://tex.z-dn.net/?f=f%280%29%20%3D%203)
Take n = 1
Substitute 1 for n in ![f(n) = 3(2)^n](https://tex.z-dn.net/?f=f%28n%29%20%3D%203%282%29%5En)
![f(1) = 3(2)^1](https://tex.z-dn.net/?f=f%281%29%20%3D%203%282%29%5E1)
![f(1) = 3*2](https://tex.z-dn.net/?f=f%281%29%20%3D%203%2A2)
![f(1) = 6](https://tex.z-dn.net/?f=f%281%29%20%3D%206)
When f(1) is divided by f(0), the result 2. So, the number of leaves doubles everyday
Answer:
I would say a yard mountain, I think?
Step-by-step explanation:
120+10+5=135
I don't know if all you're supposed to do is add or not... so i may be wrong....
We will determine the length of the segment DF as follows:
*We have that the triangles are similar, and therefore the following is true:
![\frac{2}{1.34}=\frac{4}{DF}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B1.34%7D%3D%5Cfrac%7B4%7D%7BDF%7D)
Now, we solve for DF:
![\Rightarrow DF=\frac{1.34\cdot4}{2}\Rightarrow DF=2.68](https://tex.z-dn.net/?f=%5CRightarrow%20DF%3D%5Cfrac%7B1.34%5Ccdot4%7D%7B2%7D%5CRightarrow%20DF%3D2.68)
From this, we have that the length of the segment DF equals 2.68 units.
If u can’t read cause it is cut off, the top 10 is 10 and the bottom is -10.