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Feliz [49]
3 years ago
14

Show by derivation that P=K÷(V_P)​

Mathematics
1 answer:
kolbaska11 [484]3 years ago
8 0

Answer:

ω is the angular velocity given by ω=2πf

k is the angular wave number given by – k=2πλ

t is time

x be the position

Vp phase velocity

Vg be the group velocity

The phase velocity of a wave is given by the following equation:

vp=ωk…..(eqn 1)

Rewritting the above equation, we get:

ω=kvp…..(eqn 2)

Differentiating (eqn 2) w.r.t k we obtain,

dwdk=vp+kdvpdk…..(eqn 3)

As vg=dwdk, (eqn 3) reduces to:

vg=vp+kdvpdk

The above equation signifies the relationship between the phase velocity and the group velocity.

Hope you understood the relation between group velocity and phase velocity of a progressive wave.

Follow me please

Mark brainliest

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Students were asked to write 6x5 + 8x - 3x3 + 7x7 in standard form.
dimulka [17.4K]

Answer:

7x^{7} + 6x^{5} - 3x^{3} + 8x

Step-by-step explanation:

Students are asked to write 6x^{5} + 8x - 3x^{3} + 7x^{7} in the standard form.

Now, in the standard form of a polynomial the highest power of the variable takes the leftmost position and the lowest power of the variable takes the rightmost position and the power of variable decreases from left to right.

Therefore, the standard form will be 7x^{7} + 6x^{5} - 3x^{3} + 8x. (Answer)

3 0
2 years ago
A scale model of a building has a height of 18 inches and a length of 14 inches. The height of the real building Is 360 ft. What
Naya [18.7K]
For this case, the first thing to do is find the scale factor.
 Using the measure of height we have:
 k = (360) / (18 * (1/12))
 k = 240
 Thus, the length of the building is:
 (14 * (1/12)) * (240) = 280 feet
 Answer:
 
The lenght of the real building is:
 
280 feet
5 0
2 years ago
Please I need help asap!!
Solnce55 [7]

Answer:

B

Step-by-step explanation:

Hi there!

We're given the measure of <AOC (the big angle) as 90°

and the measure of <BOC as 14° and the measure of <AOB as (3x+46)°

we want to find the value of what x is

because of angle addition postulate, m<AOC=m<BOC+m<AOB

so we can substitute our known values into that equation

90°=14°+3x°+46°

our goal is to isolate the variable of x onto one side

add 14 and 46 together

90°=3x°+60°

subtract 60° from both sides

30°=3x°

divide both sides by 3

10°=x

therefore B is your answer

Hope this helps!

7 0
3 years ago
If a cube with a 5-in side length is sliced in half. What is the surface area of the two pieces?
nydimaria [60]

 Hello there!

1.) To start, first know that a cube has the same height, length, and width, meaning that all of the dimensions are 5-in. Then, when you slice it in half, this would mean that you have now reduced the width to half of its original. This would mean that the width is now 2.5 while the height and length remain 5.

Now that you have this information, you can now find the surface area by using this formula:

A= 2lw+2lh+2hw

Now plug in your values:

A=2(5)(2.5)+2(5)(5)+2(5)(2.5)

This would simplify to:

A=25+50+25

A=100 in squared

Therefore, the surface area of the two pieces are 100 inches squared.

2.) To start, first plug the measurements of the tank into the cylinder volume formula:

V=\pir^2h

V=\pi(2.75)^2(10)

V= 237.58 cubic feet

Now, we must find how long it will take the tank to empty if the rate is 3.7 cubic feet per minute so divide the volume (in feet) by the rate:

237.58/3.7= 64.2108...

Rounded to the nearest hundredth, it would take approximately 64.21 minutes to empty the take when it is full.

:)

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7 0
3 years ago
Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.
tester [92]

So this is considered a "special triangle." The 30-60-90 triangle states that if the short leg is x, then the hypotenuse is 2x and the long leg is x√3.

Since we have the short leg, to find the hypotenuse, or y in this case, multiply the short leg by 2:

17 × 2 = 34

Next, to find the long leg, or x in this case, multiply the short leg by √3:

17 × √3 = 17√3

<u>In short, x = 17√3 and y = 34. The correct option is the last option.</u>

8 0
3 years ago
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