Given this equation:

That represents t<span>he height of a tree in feet over (x) years. Let's analyze each statement according to figure 1 that shows the graph of this equation.
</span>
The tree's maximum height is limited to 30 ft.
As shown in figure below, the tree is not limited, so this statement is false.
<span>
The tree is initially 2 ft tall
The tree was planted in x = 0, so evaluating the function for this value, we have:
</span>

<span>
<span>So, the tree is initially

tall.
</span>
Therefore this statement is false.
</span>
Between the 5th and 7th years, the tree grows approximately 7 ft.
<span>
if x = 5 then:
</span>

<span>
</span>if x = 7 then:

So, between the 5th and 7th years the height of the tree remains constant
:

This is also a false statement.
<span>
After growing 15 ft, the tree's rate of growth decreases.</span>
It is reasonable to think that the height of this tree finally will be 301ft. Why? well, if x grows without bound, then the term

approaches zero.
Therefore this statement is also false.
Conclusion: After being planted this tree won't grow.
$1.3 per lemon. I divided 8 by $6 and got 1.3.
Answer:
The error E = ± 4.04 %
Step-by-step explanation:
Solution:-
- The sample data is used to estimate the population proportion ( p ).
- The success p^ = success percentage = 40 %
- The confidence interval CI = 98%
- The sample size n = 800
- The margin of error E:
- The margin of error "E" for estimation of population proportion ( p ) is given by:

Where, Z-critical value is defined by the significance level:
P ( Z < Z-critical ) = α / 2
Where, α : Significance level
α = 1 - CI
P ( Z < Z-critical ) = (1 - 0.98) / 2
P ( Z < Z-critical ) = 0.01
Z-critical = 2.33
- The error E of estimation is:

- The error E = ± 4.04 %
The equation for the sin function is: Asin(BX-C),
A is the amplitude.
The period is: 2pi/B
The phase shift is: C/B
So, if we know the amplitude A, the period and the shift, we can calculate B from the period: B=2pi/period and we can in the next step calculate C= B*phase shift.