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3 years ago

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

Mathematics

2 answers:

geniusboy [140]3 years ago

7 0

Answer:

Step-by-step explanation:

Cerrena [4.2K]3 years ago

3 0

We have been given that the inverse variation $y=\frac{3\times 10^8}{x}$ shows the relationship between wavelength in meters, x, and frequency, y. We are asked to find the wavelength for radio waves with frequency $3\times 10^9$ .

To find the required wavelength, we substitute $y=3\times 10^9$ in our given equation and solve for x as:

$3\times 10^9=\frac{3\times 10^8}{x}$

$x=\frac{3\times 10^8}{3\times 10^9}$

We can see that both numerator and denominator has 3, so we can cancel it out.

$x=\frac{1\times 10^8}{1\times 10^9}$

Using quotient rule of exponents $\frac{a^m}{a^n}=a^{m-n}$ , we will get:

$x=1\times 10^{8-9}$

$x=1\times 10^{-1}$

Therefore, the wavelength for radio waves would be $1\times 10^{-1}$ meters and option B is the correct choice.

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Select all the points that are on the graph of the line 2x + 4y=20 a.)(0.5) b. (0,10) c. (1,2) d.) (1,4) e.) (5,0) f. (10,0)

zmey [24]

Answer:

(0,5) and (10,0)

Step-by-step explanation:

The equation of the straight line is given by 2x + 4y = 20 .......... (1)

Now, point (0,5) satisfies the equation (1) as putting x = 0, we will get y = 5.

Now, point (0,10) does not satisfy the equation (1) as putiing x = 0, we get y = 5 ≠ 10

Again, point (1,2) does not satisfy the equation (1) as putiing x = 1, we get y = 4.5 ≠ 2

Now, point (1,4) does not satisfy the equation (1) as putiing x = 1, we get y = 4.5 ≠ 4

Again, point (5,0) does not satisfy the equation (1) as putiing y = 0, we get x = 10 ≠ 5

Finally, point (10,0) satisfies the equation (1) as putiing y = 0, we get x = 10 .

Therefore, only points (0,5) and (10,0) are on the graph of the line 2x + 4y = 20 (Answer)

8 0

3 years ago

What is the rate of change of the linear relationship modeled in the table?

Lisa [10]

The correct answer is 3/2.

Slope = Rate Of Change

Slope Formula: y₂ - y₁ 5 - 2 3
-------------- = ---------- = -----
x₂ - x₁ 3 - 1 2

I hope that this helps you!

Btw, ₁ and ₂ are subscripts, they do not have anything to do with the actual working of the problem.

7 0

3 years ago

Help please! Geometry word problem!

mr Goodwill [35]

By applying reflection theory and constructing a geometric system of two proportional right triangles, the height of the stainless steel globe is approximately 140 ft.

<h3>How to estimate the height of the stainless steel globe</h3>

By physics we know that both the angle of incidence and the angle of reflection are same. Thus, we have a geometric system formed by two proportional right triangles:

5.6 ft / 4 ft = h / 100 ft

h = (5.6 ft × 100 ft) / 4ft

h = 140 ft

To learn more on geometry: brainly.com/question/16836548

#SPJ1

8 0

2 years ago

What is the first step to solve the equation 9h-31=99?

pishuonlain [190]

Add 31 to both sides which will give you

9h = 130

4 0

3 years ago

Read 2 more answers

At the local market, Bill buys 3 juice boxes and 2 hot dogs at a cost of $8, while Sarah buys 2 juice boxes and 1 hot dog at a c

baherus [9]

Answer:

The cost of each juice boxes is $ 2

The cost of each hot dogs is $ 1 .

Step-by-step explanation:

Given as :

The amount which Bill pays for 3 juice boxes and 2 hot dogs = $ 8

The amount which Sarah pays for 2 juice boxes and 1 hot dogs = $ 5

Let The cost of each juice boxes = $ j

And The cost of each hot dogs = $ h

Now, According to question

3 j + 2 h = 8 .........A

2 j + 1 h = 5 ..........B

Now, solving the equations

2 × ( 2 j + 1 h ) = 2 × 5

or, 4 j + 2 h = 10

I.e ( 4 j + 2 h ) - ( 3 j + 2 h ) = 10 - 8

Or, ( 4 j - 3 j ) + ( 2 j - 2 h ) = 2

Or, j + 0 = 2

∴ j = 2

So , The cost of each juice boxes = j = $ 2

Now, Put the value of j in Eq A

I.e 3 × 2 + 2 h = 8

Or, 6 + 2 h = 8

Or. 2 h = 8 - 6

or, 2 h = 2

∴ h = $\frac{2}{2}$ = 1

So, The cost of each hot dogs = h = $ 1

Hence The cost of each juice boxes is $ 2

And The cost of each hot dogs is $ 1 . Answer

4 0

3 years ago