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sweet-ann [11.9K]
3 years ago
10

The mass of two balls is .80 kg each and they are separated by a distance of 0.25

Mathematics
1 answer:
tia_tia [17]3 years ago
6 0

Answer:

F=6.83\times 10^{-10}\ N

Step-by-step explanation:

Given that,

The masses of two balls = 0.8 kg

The distance between masses = 0.25 m

We need to find the gravitational force between the two balls. The formula for the gravitational force is given by :

F=G\dfrac{m_1m_2}{r^2}\\\\F=6.67\times 10^{-11}\times \dfrac{0.8^2}{(0.25)^2}\\\\F=6.83\times 10^{-10}\ N

So, the force between the balls is equal to 6.83\times 10^{-10}\ N.

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What is the surface area of a rectangular prism with a width of 5cm, length
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Lian is paid for SR 75 per hour. Using p for her pay and h for the hours of work, which function rule represents
Andru [333]

Answer:

The function p = 75h represents  this situation.

Step-by-step explanation:

We know the equation of linear equation in the slope-intercept form is

y = mx+b

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m = rate of change = slope

b = y-intercept

  • Let 'h' be the number of hours
  • Let 'p' be the pay

Given that Lian is paid SR 75 per hour.

so the rate of change of slope = m = 75

As there is no initial condition, so b = 0

as

y = mx+b

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Thus, the equation becomes

p = 75h

Therefore, the function p = 75h represents  this situation.

VERIFICATION:

Given the equation

p = 75h

for h = 1

p = 75(1)

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4 0
2 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B9x%7D%5E%7B2%7D%20-%20%7B%28x%7D%5E%7B2%7D%20-%204%29%20%7B%7D%5E%7B2%7D%20
Alenkinab [10]

Answer:

{ x^2+3x-4}

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Factor top and bottom.

The numerator is a difference of two squares, and the denominator is a quadratic.

\frac{ {9x}^{2} - {(x}^{2} - 4)^{2} }{4 + 3x - {x}^{2} }

= \frac{ (3x+x^2-4)(3x-x^2+4) }{(1+x)(4-x)}

= \frac{ (x-1)(x+4) (1+x)(4-x) }{(1+x)(4-x)}

If x does not equal -1 and does not equal 4, we can cancel the common factors in italics to give

= { (x-1)(x+4)}

= { x^2+3x-4}

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