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Using an exponential function, it is found that the value of the function when x = 4 is of f(4) = 15.95.
<h3>What is an exponential function?</h3>It is modeled by:
In which:
- a is the initial value.
- b is the rate of change, as a decimal.
In this problem, we have that f(-1)=5, hence:
a = 5b
We also have that f(7)=32, hence:
Since a = 5b:
b = 1.2612.
a = 5b = 5 x 1.2612 = 6.306.
Hence the function is given by:
Then, when x = 4, we have that:
More can be learned about exponential functions at brainly.com/question/25537936
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Answer:
B = 62.9ft
Step-by-step explanation:
The distance where she is from the oak tree is 75ft,
The angle of elevation the stone makes with the top of the oak tree is 40°
The height of the tree is x ft
See attached document for better illustration
Using SOHCAHTOA,
Tanθ = opposite/ adjacent
θ = 40°
Opposite = x ft
Adjacent = 75ft
Tan40 = x / 75
X = 75 × tan40
X = 75 × 0.8390
X = 62.92ft
The height of the oak tree is 62.9ft
