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gayaneshka [121]
3 years ago
9

The inverse variation equation shows the relationship between wavelength in meters, x, and frequency, y.

Mathematics
1 answer:
wolverine [178]3 years ago
7 0

Answer:

\lambda=10^{-10}\ m

Step-by-step explanation:

Given that,

The frequency of x-rays, f=3\times 10^{18}\ Hz

We need to find the wavelength for x-rays. The relation between wavelength, frequency and speed of light is given by :

v=f\lambda\\\\\lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3\times 10^{8}}{3\times 10^{18}}\\\\=10^{-10}\ m

So, the wavelength for x-rays is 10^{-10}\ m.

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Katy recently hired a contractor to do some necessary work. On the final bill, Katy was charged a total of $488. $260 was listed
svetlana [45]

Answer:

(A) $260 + $57x = $488

(B) 4 hours

Step-by-step explanation:

(A) We need to find out how many hours of labor he needed to complete the job. That's what the x will represent.

We know that he charged Katy for the parts and for the labor, with an hourly rate of $57.

We need to sum the amount of money he charged for the parts with the hourly rate multiplied by the number of hours he worked.

Let's notice that we multiply the number of hours just to the hourly rate, the price of the parts doesn't depend on how many hours he worked.

That is $260 + $57*x

We know that the total was $488, so we just need to equal the expression before to the total.

$260 + $57x = $488

That's the expression we were looking for.

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