Which is closest to the distance between the two points on the graph?
1 answer:
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The general formula for exponential growth and decays is:
if k>0 then then it is an exponential growth function. If k<0 then the function represents an exponential decay.
Now we need to classify each of the functions:
1.
The function
can be wrtten as:
comparing with the general formula we notice that k=2, therefore this is an exponential growth.
2.
The function
can be written as:
comparing with the general formula we notice that k=-4, therefore this is an exponential decay.
3.
The function
comparing with the general formula we notice that k=-1, therefore this is an exponential decay.
The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The height of the mountain is 3110.5767 feet.
<h3>What is Tangent (Tanθ)?</h3>The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. it is given as,
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
The height of the mountain from the first point,
The height of the mountain from the second point,
Equating the height,
H = H
(1000+x) × tan(29°) = x tan( 34°)
x = 4611.5767 feet
Now, the height of the mountain is,
H = x tan(34°)
H = 3110.54776 feet
Hence, the height of the mountain is 3110.5767 feet.
Learn more about Tangent (Tanθ):
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