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3 years ago

What is the equation of the following direct variation?

Mathematics

1 answer:

balandron [24]3 years ago

4 0

Answer:

y = -2x

Step-by-step explanation:

A "direct variation" relationship has the form y = kx, where k is the "constant of proportionality.

Note that this graph goes thru the origin (which it must, to represent direct variation), and that it has a steep negative slope. That narrows down the answer choice to the first one: y = -2x.

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Step-by-step explanation:

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3 years ago

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If 2.5 mol of dust particles were laid end to end along the equator, how many times would they encircle the planet? The circumfe

Natalka [10]

Answer:

They encircle the planet $3.76\times 10^{11}$ times.

Step-by-step explanation:

Consider the provided information.

We have 2.5 mole of dust particles and the Avogadro's number is $6.022\times 10^{23}$

Thus, the number of dust particles is:

$2.5\times 6.022\times 10^{23}=15.055\times 10^{23}$

Diameter of a dust particles is 10μm and the circumference of earth is 40,076 km.

Convert the measurement in meters.

Diameter: $10\mu m\times \frac{10^{-6}m}{\mu m} =10^{-5}m$

If we line up the particles the distance they could cover is:

$15.055\times 10^{23}\times 10^{-5}=15.055\times 10^{18}=1.5055\times 10^{19}$

Circumference in meters:

$40,076km\times \frac{1000m}{1km}=40,076,000 m$

Therefore,

$\frac{1.5055\times 10^{19}}{40,076,000} = 3.76\times 10^{11}$

Hence, they encircle the planet $3.76\times 10^{11}$ times.

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3 years ago

A sales associate is given a $500 hiring bonus with a new job. She earns an average commision of $250 per week for the next 12 w

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19. If a school board determines that there should be 3 teachers for every 50 students, how many teachers are needed for an enro

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Answer:

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Step-by-step explanation:

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jekas [21]

Answer:

The standard form of the equation of a circle is,

(x - h)² + (y - k)² = r²

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Step-by-step explanation:

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3 years ago