he initial number of trees was 204.
<h3>How to find the initial number of trees?</h3>
The first step to finding the initial number of trees is to write an equation that represents the situation.
- T is equal to the initial number of trees.
- 5 trees were removed = t - 5
- Each tree produces 210 oranges = (t-5) (210)
- The total of oranges is 41,780 = (t-5) (210)= 41,780
- (t-5) (210)= 41,780
- t-5= 41,780 / 210
- t-5 = 198.95
- t = 198.95 + 5
- t = 203.9
This number can be rounded as 204.
Note: This question is incomplete; here is the missing section:
Find the initial number of trees.
Learn more about equation in: brainly.com/question/2263981
Conjectures are conclusions formed from evidences. Steven's conjecture that:
is true because:
or
for ![|x| > 5](https://tex.z-dn.net/?f=%7Cx%7C%20%3E%205)
Given that:
![|x| > 5](https://tex.z-dn.net/?f=%7Cx%7C%20%3E%205)
Split the inequality as follows:
or ![x > -5](https://tex.z-dn.net/?f=x%20%3E%20-5)
Take the cube of both sides
or ![x^3 > -5^3](https://tex.z-dn.net/?f=x%5E3%20%3E%20-5%5E3)
Evaluate all exponents
or ![x^3 > -125](https://tex.z-dn.net/?f=x%5E3%20%3E%20-125)
Steven's conjecture that:
is true because:
or
for ![|x| > 5](https://tex.z-dn.net/?f=%7Cx%7C%20%3E%205)
Read more about absolute inequalities at:
brainly.com/question/4688732
Yes they form a proportion the rate of change is 27.5
4*27.5=110
10*27.5=275
18*27.5=495
30*27.5=825
Answer:
![f(0)=4](https://tex.z-dn.net/?f=f%280%29%3D4)
![f(6) = 8](https://tex.z-dn.net/?f=f%286%29%20%3D%208)
Step-by-step explanation:
Given
The piece wise function
Solving (a): f(0)
To solve for f(0), we make use of:
![f(x) = x + 4](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%20%2B%204)
Because: the inequality
satisfies x = 0
i.e: ![0 < 5](https://tex.z-dn.net/?f=0%20%3C%205)
So, we have:
![f(x) = x + 4](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%20%2B%204)
![f(0)=0 + 4](https://tex.z-dn.net/?f=f%280%29%3D0%20%2B%204)
![f(0)=4](https://tex.z-dn.net/?f=f%280%29%3D4)
Solving (b): f(6)
To solve for f(6), we make use of:
![f(x) = 8](https://tex.z-dn.net/?f=f%28x%29%20%3D%208)
Because: the inequality
satisfies x = 6
i.e: ![5 \le 6 < 7](https://tex.z-dn.net/?f=5%20%5Cle%206%20%3C%207)
So, we have:
![f(6) = 8](https://tex.z-dn.net/?f=f%286%29%20%3D%208)