True mechanical energy is the sum of potential and kinetic energies
The displacement of the girl which the relative change in her position from her starting point. Therefore, the shortest distance between her initial and final position is 58.85 m North - West
From the sketch of the girls movement attached below, the displacement of the girl can be calculated thus :
Using Pythagoras :
Displacement, d = √(50² + 20²)
d = √(2500 + 400)
d = √2900
d = 53.851
Therefore, the displacement of the girl, which is the shortest distance between her current position and starting position is 53.85 meters NW.
Learn more :brainly.com/question/1021211
They are inverse of logarithmic equations. The value of b to the nearest tenth is 0.1
<h3>Exponential equations</h3>
They are inverse of logarithmic equations. Given the exponential function that modelled the penicillin concentration, in micrograms per milliliter as shown:

If the value of P(t) is 10, hence;

Take the ln of both sides
ln0.05 = 6/5 lnb
-2.995 = 1.2 ln b
lnb = -2.495
b = e^-2.495
b = 0.08
Hence the value of b to the nearest tenth is 0.1
Learn more on exponential function here; brainly.com/question/2456547
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That state is South carolina.