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JulsSmile [24]
3 years ago
8

126/21 The simplest form

Mathematics
1 answer:
Marina CMI [18]3 years ago
8 0

\dfrac{126}{21} = \dfrac{2 \times 3 \times 3 \times 7}{3 \times 7} = 6

Answer: 6

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A brick of mass 4 kg hangs from the end of a spring. When the brick is at rest, the spring is stretched by 3 cm. The spring is t
Zielflug [23.3K]

Answer:

Step-by-step explanation:

In this system we have the force of the spring and the gravitational force. The equation that describes that is

F_{s}+F{g}=ma\\k(y_0+y)-mg=ma

where y0 is the equilibrium position when the string is free and y0+y is the new equilibrium position when the object is hanged of the string. By replacing by derivatives we have

ky_0+ky-mg=ma\\mg+ky-mg=ky=ma\\\\ky=m\frac{d^2y}{dt^2}\\\\my''+ky=0

the solution for this differential equation is (by using the characterisic polynomial)

y(x)=Acos(kt)+Bsin(kt)\\k=\omega^2m

hope this helps!!

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Answer:

The horizontal shift depends on the value of h h. The horizontal shift is described as: g(x) = f (x+h) g ( x) = f ( x + h) - The graph is shifted to the left h h units. g(x) = f (x−h) g ( x) = f ( x - h) - The graph is shifted to the right h h units. The vertical shift depends on the value of k k.

Step-by-step explanation:

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Divide. Round your answer to the nearest whole number.<br>91,543 = 5 =​
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Step-by-step explanation:

3 0
2 years ago
a barrel had 20 liters of water. water leaked out from the barrel at a constant rate. after 24 hours, 14 liters of water was lef
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Initial volume of water = 20 litres
Final volume of water = 14 litres

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What is 20 precent of 25​
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<h2><em><u>20 percent *25 =</u></em><em><u> </u></em><em><u>x</u></em></h2><h2 /><h2><em><u>( 20:100)*25 =</u></em><em><u> </u></em><em><u>x</u></em></h2><h2 /><h2><em><u>( 20*25):100 =</u></em><em><u> </u></em><em><u>x</u></em></h2><h2 /><h2><em><u>500:100 = </u></em><em><u>x</u></em></h2>

<em><u> </u></em>

<h2><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u>5</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>x</u></em></h2>

<em><u>hence</u></em><em><u> </u></em><em><u>,</u></em><em><u> </u></em><em><u>20 percent </u></em><em><u>o</u></em><em><u>f</u></em><em><u> </u></em><em><u>25 </u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>5</u></em><em><u> </u></em><em><u>.</u></em>

7 0
3 years ago
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