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Natali [406]
3 years ago
5

Frequency (y) varies inversely with wavelength (x). Find the frequency (measured in THz ) of blue light if its k value is 175,72

0 and its wavelength is 230 meters. (Round to nearest whole number if necessary)
Mathematics
1 answer:
horsena [70]3 years ago
8 0

We have been that frequency (y) varies inversely with wavelength (x).

We know that two inversely proportional quantities are in form a=\frac{k}{b}, where a is inversely proportional to b and k is constant of variation.

Our required equation would be y=\frac{k}{x}.

To find frequency of blue light, we will substitute k=175,720 and x=230 in our equation as:

y=\frac{175,720}{230}

y=764

Therefore, the frequency of blue light is 764.

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Answer:

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Step-by-step explanation:

First, let's find how much she spent on the expensive calculators

40 times $16400= $656,000

Now, lets find how much money she had for the cheap calculators.

$774,000- $656,000=$118000

Now that we have her budget (money remaining) for the cheaper calculators, lets divide that by the price for each individual calculator.

$118000/$5900=20

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4 0
3 years ago
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Scilla [17]

Answer:

hello :

If f(x)=x-2 and g(x)=1/2x,

g(f(x)) = g ( x - 2 )

          = 1/2(x-2)

g(f(x)) = (1/2)x - 1



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If k(x) = x^2 and p(x) = k(x) + n, what is the value of n?
kodGreya [7K]

Answer:

The value of n is -6

Step-by-step explanation:

  • If the function f(x) is translated k units up, then its image is g(x) = f(x) + k
  • If the function f(x) is translated k units down, then its image is g(x) = f(x) - k
  • The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex

∵ k(x) = x²

→ Its graph is a parabola with vertex (0, 0)

∴ The vertex of the prabola which represents it is (0, 0)

∵ The given graph is the graph of p(x)

∵ Its vertex is (0, -6)

∴ h = 0 and k = -6

∵ a = 1

→ Substitute them in the form above

∴ p(x) = 1(x - 0)² + -6

∴ p(x) = x² - 6

→ Substitute x² by k(x)

∴ p(x) = k(x) - 6

∵ p(x) = k(x) + n

→ By comparing the two right sides

∴ n = -6

∴ The value of n is -6

Look at the attached figure for more understanding

The red parabola represents k(x)

The blue parabola represents p(x)

8 0
2 years ago
Given f(x) = 2x^2 - 5x, determine the value of f(4).​
jeyben [28]

Answer:

12

Step-by-step explanation:

f(x) = 2x^2 - 5x

Let x=4

f(4) = 2 (4)^2 -5(4)

Exponents first

     = 2*16 -5*4

Multiply

     =32 -20

subtract

   =12

5 0
3 years ago
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