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aniked [119]
3 years ago
14

? For which value of x is the inequality 45 - 4x < 14 true?

Mathematics
1 answer:
viktelen [127]3 years ago
8 0

Answer:

7.75

Step-by-step explanation:

You group like terms from the inequality above ie by making the x value stands alone and you can only do this by sending 14 to the left side of the inequality and 4x to the right side. This becomes 45-14 < 4x and that gives you 31 < 4x. Then you divide both side by the number attached to the variable 'x' ie 4. So 31/4 < 4x/4 making x > 31/4 which is 7.75

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You pull a sled across a horizontal frictionless patch of snow. If your pulling force is in the same direction as the sled's dis
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Answer:

The kinetic energy of the sled is  going to increase by 18.75%

Step-by-step explanation:

The work W realized by a Force F is given by:

W=F_x*x

Where x is the displacement and F_x is the component of the force that is parallel to the displacement.

Additionally, the work is equal to the change in the kinetic energy

W=K_f-K_i

If your pulling force is in the same direction as the sled's displacement, we can said that: F=F_x

And if increases the kinetic energy of the sled by 27%, we can said that:

K_f-K_i=0.27K_i

So, we can formulate the following equation:

W=F*x\\W=0.27K_i\\\\F*x=0.27K_i (1)

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W=F_x*x=Fcos(46)*x=F*x*cos(46)   (2)

Then, replacing (1) in (2), we get:

W=F*x*cos(46)=0.27K_i*cos(46) = 0.1875K_i

Finally, the kinetic energy increase by 18.75% because:

W=K_f-K_i\\W=0.1875K_i\\\\K_f-K_i=0.1875K_i

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