3 years ago

Rder 0.709, 0.710, 0.79, and 0.079 from smallest to largest.

Mathematics

1 answer:

Assoli18 [71]3 years ago

8 0

The order is 0.079, 0.709, 0.710, 0.79

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3 years ago

A 37 inch tv sells for $400. This is a $45 less than five times the cost of a 19 inch tv. Find the cost of the 19 inch tv.

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Answer:

A 19 inch tv cost $89

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37 inch tv : 400 = 5x - 45

19 inch tv : x

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Ratio of 6 nickels to 5 dollars

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A rectangular room measures 14 feet by 144 inches. Edgar said the area of the room is 2,016 square feet. Explain his mistake, th

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3 years ago

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A spring with a spring constant k of 100 pounds per foot is loaded with 1-pound weight and brought to equilibrium. It is then st

shutvik [7]

Answer:

Equation of movement y(t)

$y(t)=sin(10t-\pi/2)$

Amplitude: 1 inch

Period: 0.628 seconds

Step-by-step explanation:

If there is no friction, the amplitude will be the length it was streched from the equilibrium. In this case, this value is 1 inch

$A=1\,inch$

The period depends on the mass and the spring constant.

The formula for the period is:

$T=\frac{1}{f} =\frac{2/pi}{\omega} =2\pi\sqrt{\frac{m}{k}}=2\pi\sqrt{\frac{1}{100}}=2\pi*0.1=0.628\, s$

The model y(t) for the movement of the mass-spring system is

$y(t)=A\cdot sin(\omega t +\phi)\\\\A=1\\\\\omega=\sqrt{k/m} =\sqrt{100/1}=10\\\\y(0)=Asin(\phi)=-A\\\\ \phi=arcsin(-1)=-1.571=-\pi/2\\\\\\y(t)=sin(10t-\pi/2)$

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3 years ago