Answer: 
Step-by-step explanation:
<em><u>Answer:</u></em>
<h2>
5.1 X 10^-7</h2>
<u><em>Reason:</em></u>
It is to the -7 because you would have to move the decimal left (-) 7 times to get the original 0.00000051.
Hope this helps! ;)
Given that the function g(x)=x-3/x+4, the evaluation gives:
- g(9) = 6/13.
- g(3) = 0.
- g(-4) = undefined.
- g(-18.75) = 1.07.
- g(x+h) = x+h-3/x+h+4
<h3>How to evaluate the function?</h3>
In this exercise, you're required to determine the value of the function g at different intervals. Thus, we would substitute the given value into the function and then evaluate as follows:
When g = 9, we have:
g(x)=x-3/x+4
g(9) = 9-3/9+4
g(9) = 6/13.
When g = 3, we have:
g(x)=x-3/x+4
g(3) = 3-3/3+4
g(3) = 0/13.
g(3) = 0.
When g = -4, we have:
g(x)=x-3/x+4
g(-4) = -4-3/-4+4
g(-4) = -1/0.
g(-4) = undefined.
When g = -18.75, we have:
g(x)=x-3/x+4
g(-18.75) = -18.75-3/-18.75+4
g(-18.75) = -15.75/-14.75.
g(-18.75) = 1.07.
When g = x+h, we have:
g(x)=x-3/x+4
g(x+h) = x+h-3/x+h+4
Read more on function here: brainly.com/question/17610972
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Answer:
The volume of the water in the tank is 112 m³
Step-by-step explanation:
The volume of the rectangular prism V = L × W × H, where
∵ A rectangular tank has a length of 4 m, a width of 12 m, and
a height of 3.5 m
∴ L = 4 m
∴ W = 12 m
∴ H = 3.5 m
∵ V = L × W × H
∴ The volume of the tank = 4 × 12 × 3.5
∴ The volume of the tank = 168 m³
∵ The tank is filled with water 
of its capacity
→ That means the volume of the water is the volume of the tank
∵ The volume of the water = the volume of the tank
∴ The volume of the water = × 168
∴ The volume of the water = 112 m³
∴ The volume of the water in the tank is 112 m³
<span>Let time taken by Luke to cover the distance = x hours
Speed of Luke = 6 miles per hour
Therefore, Distance covered by Luke = 6x ------(1)
Speed of Micah = 4 miles per hour
Since Micah walked 2 miles before Luke started running, Luke started 1/2 an hour after Micah started.
Therefore time taken by Micah to cover the distance = x+1/2
Distance covered by Micah = 4(x + 1/2) -------(2)
Equating (1) and (2)
6x = 4(x+1/2)
6x = 4x +2
2x = 2
x= 1
Therefore Luke would take 1 hour to cover the distance covered by Micah.</span>
