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sdas [7]
1 year ago
7

The gravitational force on a body falling towards the earth is directly proportional to the

Mathematics
1 answer:
Trava [24]1 year ago
5 0

The equation would be y = kx with k being a constant.

<h3>Direct variation</h3>

Assuming the gravitational force is y and the mass of the body is x. y is directly proportional to the x.

Mathematically,

y = kx where k = constant.

If y = 19.6 Newtons and x = 2 kg, then

k = y/x = 19.6/2 = 9.8.

More on gravitational force can be found here: brainly.com/question/12528243

#SPJ1

 

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Matching inequalities with statements
Xelga [282]

Answer:

closed, or shaded, circle is used to represent the inequalities greater than or equal to (≥) or less than or equal to (≤) . The point is part of the solution. An open circle is used for greater than (>) or less than (<). The point is not part of the solution.

6 0
3 years ago
Use the compound interest formulas A = Pert and A = P(1 + ) to solve. Suppose that you have $11,000 to invest. Which investment
gulaghasi [49]

Answer:

Continuously

Step-by-step explanation:

Compounded continuously:

A = Pe^(rt)

A = 11,000 e^(0.0625 × 10)

A = 20,550.71

Compounded semiannually (twice per year):

A = P(1 + r)^t

A = 11,000 (1 + 0.063/2)^(2×10)

A = 11,000 (1 + 0.0315)^20

A = 20,453.96

3 0
3 years ago
If the first of three consecutive integers is subtracted from 138, the result is the sum of the second and third. What are the i
Murljashka [212]

Answer:

<h2>45, 46, 47</h2>

Step-by-step explanation:

n, n + 1, n + 2 - three consecutive integers

The equation:

138 - n = (n + 1) + (n + 2)

138 - n = n + 1 + n + 2                 <em>combile like terms</em>

138 - n = 2n + 3           <em>subtract 138 from both sides</em>

-n = 2n - 135               <em>subtract 2n from both sides</em>

-3n = -135            <em>divide both sides by (-3)</em>

n = 45

n + 1 = 46

n + 2 = 47

6 0
3 years ago
What is the solution of the system?
Murrr4er [49]
The Answer is....
x=-3 and y=3
(-3,3)
5 0
3 years ago
What is the perimeter of a rectangle with sides 2/3x+10 and 1/3x+5
gogolik [260]

Answer:

The perimeter of the rectangle  is 2x+ 30

Step-by-step explanation:

Sides of the rectangle are 2/3x+10 and 1/3x+5

Now, Perimeter of the Rectangle = 2(Length + Breadth)

Here, sum of the sides = (\frac{2}{3}x + 10 )  + (\frac{1}{3}x + 5 )  = (\frac{2}{3}x +\frac{1}{3}x  )  + ( 10+ 5 )

adding like terms with like terms, we get

(\frac{2x + x}{3})  + 15 = \frac{3x}{3}  + 15

Hence, Sum = (x + 15)

Now,  2(Length + Breadth)  = 2(x+15) = 2x + 30

hence, the perimeter of the rectangle  = 2x+ 30

8 0
3 years ago
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