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andrew11 [14]
3 years ago
5

The world's most powerful tugboats are built in Finland. One of these boats can do 9.8 × 107 J of work through a distance of 35

m. What is the force exerted by the tugboat? 
Mathematics
1 answer:
kkurt [141]3 years ago
3 0
<span>2.8 x 10^6 N We have 9.8 x 10^7 J or 9.8 x 10^7 kg*m^2/s^2 of work done through a distance of 35 meters. Since work is defined as force over distance, that means that: F * 35m = 9.8 x 10^7 kg*m^2/s^2 Solving for F, gives F * 35m = 9.8 x 10^7 kg*m^2/s^2 F = 9.8 x 10^7 kg*m^2/s^2 / 35m F = 2.8 x 10^6 kg*m/s^2 F = 2.8 x 10^6 N So the force exerted by the tugboat is 2.8x10^6 Newtons.</span>
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The inverse of the given function 3x - 12 is determined as f⁻¹(x) = x/3 + 4.

<h3>What is inverse of a function?</h3>

An inverse of a function is a function that serves to replace another function.

That is, if f(x) produces y, then putting y into the inverse of f produces the 0ut-put x .

Thus, an inverse function or an anti function is defined as a function, which can reverse into another function.

The inverse of the given function; f(x)= 3x − 12 is calculated as follows;

y = 3x - 12

replace y with x and x with y as shown below;

x = 3y - 12

now, solve for y

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divide both sides of the equation by 3

x/3 + 12/3 = 3y/3

x/3 + 4 = y

f⁻¹(x) = x/3 + 4

Thus, the inverse of the given function 3x - 12 is determined as f⁻¹(x) = x/3 + 4.

Learn  more about inverse of a function here: brainly.com/question/3831584

#SPJ1

The complete question is written below:

find the inverse of the function, f(x) = 3x - 12

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