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Lubov Fominskaja [6]
2 years ago
14

What is the quotient

Mathematics
1 answer:
olasank [31]2 years ago
8 0
Hope this would help you

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The inverse variation equation shows the relationship between wavelength in meters, x, and frequency, y
Cerrena [4.2K]

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.

3 0
3 years ago
Read 2 more answers
Help me solve this? ​
LiRa [457]

Answer:

Step-by-step explanation:

5(-5)-2=-27

5(-2)-2= -12

5(1)-2=3

5(2)-2=8

5(3)-2=13

x     g(x)

-5   -27

-2    -12

1        3

2      8

3      13

5 0
2 years ago
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The postal service charges $2 to ship packages up to 5 ounces in weight and $0.20 for each additional ounce up to 20 ounces. Aft
Luda [366]

Answer:

The domain is all of the x values. From the graph, all of the x values are greater than or equal to 0 so the answer is x ≥ 0.

3 0
3 years ago
What is the height of the triangle? 12 units 24 units 36 units 72 units.
konstantin123 [22]

Height of the triangle is the altitude of the triangle and which is drawn perpendicular from the vertex of the triangle to the opposite side. The height of the tringle is 24 units. Hence option 2 is the correct option.

<h3>Given information-</h3>

The triangle for the given problem is shown in the image below.

Form the figure the length of the each side is 16 \sqrt{3} units.

As all the sides are equal thus the \Delta MNO is a equilateral triangle in which the height of the divides the triangle into two equal part of the length 8\sqrt{3} at point <em>R.</em>

<h3>Height of the triangle-</h3>

Height of the triangle is the altitude of the triangle and which is drawn perpendicular from the vertex of the triangle to the opposite side.

Now in the  \Delta MRN, the length of the hypotenuse is 16 \sqrt{3} units and the length of the base is 8\sqrt{3} units. Let <em>h </em>is the height of the triangle thus by the Pythagoras theorem,

(16\sqrt{3})^2 =(8\sqrt{3})^2+h^2

Solve for <em>h,</em>

<em />

<em />\begin{aligned}h^2 &=(16\sqrt{3})^2 -(8\sqrt{3})^2\\h^2 &=16\times16\times3 -8\times8\times3\\h^2 &=576\\h &=\sqrt{576}\\h &=24\\\end<em />

<em />

Thus the height of the tringle is 24 units. Hence option 2 is the correct option.

Learn more about the equilateral triangle here;

brainly.com/question/4268382

5 0
2 years ago
Heyy! i’ll give brainliest please help.
aliina [53]
Lower altitudes have higher climates !
8 0
2 years ago
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