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Snowcat [4.5K]
3 years ago
12

Evaluate the expression: x^2+2x−xy when x = 250 and y = −120

Mathematics
1 answer:
NikAS [45]3 years ago
5 0

Answer:

33000

Step-by-step explanation:

Substituting 250 for x and -120 for y, we get:

(250)^2 + 2(250) - (250)(120)  =  62500 + 500 - 30000, or

32500 + 500, or 33000

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A 3.0-kg ball moving eastward at 4.0 m/s suddenly collides with and sticks to a 5.0-kg ball moving northward at 3.0 m/s. what is
vesna_86 [32]

Magnitude of the momentum of this system just after the collision = 19.2Kgm/s

<h3>What is law of conservation of momentum?</h3>

Law of conservation of momentum states that the total momentum after the collision must be equal to the total momentum before the collision.

The momentum of each ball is given by:

p = mv

where m is the mass of the ball and v its velocity.

The momentum of ball 1 is:

p = mv

= (3.0 kg)(4.0 m/s)

= 12.0 kg m/s in the eastward direction

The momentum of ball 2 is:

p = mv

= (5.0 kg)(3.0 m/s)

= 15.0 kg m/s in the northward direction

The two momenta are in perpendicular directions, so the magnitude of the total momentum can be found as:

p = \sqrt{p1^{2} +p2^{2} }

p = \sqrt{12^{2} +15^{2} }\\p = \sqrt{144 + 225} \\p = \sqrt{369}\\ p = 19.2 kgm/s

and due to the law of conservation of the momentum, this is also equal to the total momentum after the collision.

To learn more about law of conservation of momentum from the given link

brainly.com/question/12773641

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6 0
1 year ago
A company wants to test a new brand of dog food that has added omega-3 oils for healthy, shiny coats.
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Answer: The experiment is blinded because the volunteers in both groups are unaware of which dog food they received.

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julia-pushkina [17]

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Step-by-step explanation:

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3 years ago
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Peters mom gave him a $10 bill he purchased a magazine for $4.50 and the tax was 6% how much change did peter get
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Answer:

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Step-by-step explanation:

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7 0
2 years ago
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iogann1982 [59]

9514 1404 393

Answer:

  a factor of 2 is shown, but 4 was factored out

Step-by-step explanation:

The difference of squares is factored as ...

  a² -b² = (a +b)(a -b)

Then the given difference of squares factors as ...

  144x² -100 = (12x)² -10² = (12x +10)(12x -10)

Each of these factors has a factor of 2 that can be factored out:

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