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klemol [59]
3 years ago
10

How are the graphs of f(x)=square foot 16^x and g(x)=3 square root 64^x related

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
5 0
Both functions can be expressed in the form of √2ˣ

f(x)=√(2ˣ)⁴ = √16ˣ 

g(x)= √(2ˣ)⁶ = √64ˣ <-- these can be further broken down if required

Hope I helped :) 
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Let v denote the speed of the ship, and let t denote the duration of the trip. The magnitude of the displacement of this ship would be v\, t.

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The hypothenuse of the right triangle in this diagram represents the displacement of the ship, with a length of v\, t. The dashed horizontal line segment represents the distance that the ship has travelled to the west (which this question is asking for.) The angle opposite to that line segment is exactly 29^{\circ}.

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\begin{aligned}& \text{opposite (to $\theta$)} \\ =\; & \text{hypotenuse} \times \frac{\text{opposite (to $\theta$)}}{\text{hypotenuse}} \\ =\; & \text{hypotenuse} \times \sin (\theta) \\ =\; & v\, t \, \sin(\theta) \\ =\; & v\, t\, \sin(29^{\circ})\end{aligned}.

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