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just olya [345]
3 years ago
8

How would I solve this equation for mass (m)?

Mathematics
1 answer:
zaharov [31]3 years ago
7 0
Simple...

you have: F= \frac{G m^{2} }{ d^{2} }

You want to find m-->>>

1.)Isolate m

d^{2} *F= \frac{G m^{2} }{ d^{2} } * d^{2}

Leaving you with...

F*d^{2}=G m^{2}

Keep isolating m-->>>

F* d^{2} =G m^{2}

\frac{F* d^{2} }{G} = \frac{G m^{2} }{G}

Square root to solve what just m is-->>>

\sqrt{ \frac{F* d^{2} }{G} } = \sqrt{ m^{2} }

=\sqrt{ \frac{F* d^{2} }{G}  } =m

That is how you solve for m...

Thus, your answer.
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Are the functions f,g, and h given below linearly independent?
CaHeK987 [17]

Answer:

Linearly independent, x = 0

Step-by-step explanation:

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- We are to determine the linear - independence of the given functions. We will use the theorem of linear independence which states that:

                           c_1*f(x) + c_2*g(x) + c_3*h(x) = 0

Where,

                       c1 , c2 , c3 are all zeroes then for all values of (x),

- The system of function is said to be linearly independent

- We will express are system of equations as such:

                           c_1*e^4^x + c_2*xe^4^x + c_3*x^2e^4^x = 0\\\\

- To express our system of linear equations we will choose three arbitrary  values of ( x ). We will choose, x = 0. then we have:

                          c_1*( 1 ) + c_2*(0) + c_3*(0 ) = 0\\\\c_1 = 0

- Next choose x = 1:

                          c_2*e^4 + c_3*e^4 = 0\\\\c_2 + c_3 = 0

- Next choose x = 2:

                          2*c_2*e^8 + 4*c_3*e^8 = 0\\\\c_2 + 2c_3 = 0

- Solve the last two equations simultaneously we have:

                          c_1 = c_2 = c_3 = 0     .... ( Only trivial solution exist )

Answer: The functions are linearly independent

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5 0
3 years ago
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pav-90 [236]

Answer:

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Step-by-step explanation:

c^2=a^2+b^2

12^2+5^2=169

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4 0
2 years ago
How do I solve this problem?
Gre4nikov [31]
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3 0
3 years ago
Write an equation that is parallel to the line y = -5x + 2 and passes through the point (0, 3).
nikklg [1K]
---------------------------------------
Slope :
---------------------------------------
y = -5x + 2 
Slope = -5

---------------------------------------
y - intercept :
---------------------------------------
At (0. 3), y-intercept = 3

---------------------------------------
Equation :
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y = mx + b
y = -5x + 3

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Answer : y = -5 + 3
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7 0
3 years ago
Albert wants to buy two pomegranates and some peaches • The price of one pomegranate is $1.59. • The price of peaches is $1.19 p
viktelen [127]

Answer:

He can buy 5 pounds of peaches.

Step-by-step explanation:

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7 0
3 years ago
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