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yan [13]
4 years ago
7

What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?

Physics
1 answer:
lora16 [44]4 years ago
3 0
<h3>Solution:</h3>

firstly solve parenthesis bracket ( )

-4×3 + 4×5x ≥ -6x + 9

-12 + 20x ≥ -6x + 9

Add 12 on both sides

-12 + 12 + 20x ≥ -6x + 9 + 12

20x ≥ -6x + 21

Add 6x on both sides

6x+ 20x ≥ -6x + 6x + 21

26x ≥  21

divide both side by 26

26 x/26 ≥21/26

x ≥21/26

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What materials in a torch are conductors and insulators?
Alisiya [41]
Are you sure you weren't given any options? Basically the electrical components, e.g wires and bulbs will be conductors, and the part comprising the outer casing, e.g plastic, glass, will be insulators
8 0
4 years ago
What is the length a rubberband was stretched if it has a spring constant of 5700N/m and is currently holding 8600J OF POTENTIAL
lozanna [386]

Answer:

\displaystyle \Delta x=1.74\ m

Explanation:

<u>Elastic Potential Energy </u>

Is the energy stored in an elastic material like a spring of constant k, in which case the energy is proportional to the square of the change of length Δx and the constant k.

\displaystyle PE = \frac{1}{2}k(\Delta x)^2

Given a rubber band of a spring constant of k=5700 N/m that is holding potential energy of PE=8600 J, it's required to find the change of length under these conditions.

Solving for Δx:

\displaystyle \Delta x=\swrt{\frac{2PE}{k}}

Substituting:

\displaystyle \Delta x=\sqrt{\frac{2*8600}{5700}}

Calculating:

\displaystyle \Delta x=\sqrt{3.0175}

\boxed{\displaystyle \Delta x=1.74\ m}

6 0
3 years ago
Compare the planets Mars and Saturn. Describe how their common characteristics are similar and Compare the planets Earth and Nep
nordsb [41]

Question no. 1. Compare the planets Mars and Saturn. Describe how their common characteristics are similar:

Answer:  Our solar system is located in the outer spiral arm of the milky way galaxy. our solar system has one sun and nine revolving planets and . namely  

  1. Mercury
  2. Venus
  3. Earth
  4. Mars
  5. Jupiter
  6. Saturn
  7. Uranus
  8. Neptune
  9. Pluto (small planet usually refer as dwarf)

Each star has its on moon/moons and has its own characteristics i.e , planet must be a celestial body , must have orbit around sun, have enough mass for self gravity, big enough to have gravity that clear its path from other same size object close to its orbit around sun.

Mars is the fourth from the sun and sixth is the Saturn from the sun in our solar system.

<u>Common in Characteristics of Mars and Saturn:</u>

  • Mars and Saturn both have celestial body.
  • Mars and Saturn both have enough mass for the gravity to get rid of rigid body forces.
  • Mars and Saturn both revolve around the sun in their own orbits.
  • Mars is the second smallest in the solar system while Saturn is second largest in the solar system.
  • Mars and Saturn both have their own moons. Mars has two while Saturn has 83 moons
  • Mars and Neptune both do not support life.    

Question no. 2. Compare the planets Earth and Neptune. Describe how are they different from each other

Answer:

Earth our home planet is the third from the sun and Neptune on the other hand is the eighth from the sun in the solar system.

<u>Common differences between Earth and Neptune</u>

  • Earth is the terrestrial planet while Neptune (Ice giant) is the Jovian planet.
  • Earth has no ring around it, Neptune has ring around it.
  • Earth is closer to the sun and Neptune is far distant from the sun.
  • Earth consists of rocks and metals on the other hand Neptune contain gases
  • Earth is smaller than the Neptune in the solar system.
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4 0
4 years ago
An AWG No.16 line cord with type HPN insulation has an amp airy of
Lostsunrise [7]

12 amp is your answer

5 0
3 years ago
A block with a weight of 620 N is pulled up at a constant speed on a very smooth ramp by a constant force. The angle of the ramp
GuDViN [60]

The work done by the force in pulling the block all the way to the top of the ramp is 3.486 kJ.

<h3>What is work done?</h3>

Work done is equal to product of force applied and distance moved.

Work = Force x Distance

Given is  a block with a weight of 620 N is pulled up at a constant speed on a very smooth ramp by a constant force. The angle of the ramp with respect to the horizontal is θ = 23.5° and the length of the ramp is l = 14.1 m.

From the Newton's law of motion,

ma =F-mg sinθ =0

So, the force F = mg sinθ

Plug the values, we get

F = 620N x sin 23.5°

F = 247.224 N

Work done by motor is  W= F x d

The force is equal to the weight F = mg

So, W = 247.224 x 14.1

W = 3.486 kJ

Thus, the work done by the force in pulling the block all the way to the top of the ramp is  3.486 kJ.

Learn more about Work done

brainly.com/question/13662169

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2 years ago
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