pretty hard question

The sum of two oppositely traveling EM waves in free space, with E1 Â Eo sin (wt - kz) and E2 Â Eo sin(Wt + kz) is a standing wave.

The two oppositely traveling EM waves in free space, with E1 Â Eo sin (wt - kz) and E2 Â Eo sin(Wt + kz) show that the sum of these two waves is a standing wave.

The two waves interfere to create a wave that doesn't appear to be moving. The standing wave is represented by E Â 2E0 cos(kz) sin(wt), where E0 is the maximum amplitude of the electric field and k is the wave number.

To find the magnetic field associated with each traveling wave, Maxwell's version of Ampere's Law can be used.The magnetic field associated with each wave is given by

B = µoE / c  where µo is the permeability of free space and c is the speed of light in a vacuum.

Therefore, the magnetic field associated with each traveling wave is given by

B1 = µoE1 / c  and B2 = µoE2 / c.

The Poynting vector for each traveling wave is given by

S = E x B µo. Therefore, the Poynting vector for the two waves is given by S1 = E1 x B1 µo  and S2 = E2 x B2 µo .

The time-average value of the Poynting vector is given by (1 / 2) E0² µo. The direction of the Poynting vector is perpendicular to the direction of propagation of the wave, and it represents the rate at which energy is transported by the wave.

The total magnetic field associated with the standing wave is given byB = B1 + B2. Substituting the expressions for B1 and B2 yields

B = µo / c (E1 - E2).

The Poynting vector for the standing wave is given by S = E x B µo.

Substituting the expressions for E and B yields

S = (2E0 sin(kz))² µo / 4c = E0² µo sin²(kz) / c.

The time-average value of the Poynting vector is (1 / 2) E0² µo, which is the same as that of the individual waves

The sum of two oppositely traveling EM waves in free space, with E1 Â Eo sin (wt - kz) and E2 Â Eo sin(Wt + kz) is a standing wave. Maxwell's version of Ampere's Law is used to find the magnetic field associated with each traveling wave. The Poynting vector for each traveling wave is found, and the time average value for each is determined. The total magnetic field associated with the standing wave is calculated. Finally, the Poynting vector for the standing wave is found, and the time average value is determined.

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Answer:

(s*t)(-7) = 987

Step-by-step explanation:

s(x) = 2 - x²

t(x) = 3x

To find (s*t)(x), multiply s(x) and t(x).

(s*t)(x) = (2 - x²)(3x)

(s*t)(x) = 6x - 3x³

Now that you have (s*t)(x), plug -7 in.

(s*t)(-7) = 6(-7) - 3(-7)³

(s*t)(-7) = 6(-7) - 3(-343)

(s*t)(-7) = -42 + 1029

(s*t)(-7) = 987

The most appropriate statistical test for these data from the list below would be: the Wilcoxon Ranked Sum test.

The Wilcoxon Ranked Sum test is the best for the analysis because it does not assume a normal distribution. The Wilcoxon ranked sum test compares two independent populations to determine if there is a statistical significance between them.

In the example given there is no normal distribution, so the Wilcoxon Ranked Sum test will analyze the responses differently to confirm if there is a relationship.

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By completing squares in both the variables and try to get the general equation of the form:

(x - a)^2 + (y - b)^2 = R^2

A general circle equation for a circle whose center is (a, b) and the radius is R, is:

(x - a)^2 + (y - b)^2 = R^2

So, if we have an equation like:

x^2 + cx + d + y^2 + h*y + l = m

We just need to complete squares in both x and y, such that we end with an equation of the form of:

(x - a)^2 + (y - b)^2 = R^2

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Answer:

$318.75 for a 35 hour work week.

Step-by-step explanation:

8.50 x 1.5 = 12.75 for every hour extra

8.50 x 30 = 255

12.75 x 5 = 63.75

255 + 63.75 = 318.75

The required earnings for Simon for the 35 hours is $318.75.

Simon earns $8.50 per hour for up to 30 hours of work in a given week. For each hour Simon works over 30 hours in a week, he earns 1.5 times his regular hourly rate. How much does Simon earn for a week in which he works 35 hours is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

here,
The hourly rate for 30 hours is $8.50 per hour.
Total earning for 30 hours = 8.50 × 30 = $255
For hourly earnings increase by 1.5 times post 30 hours,
So the required hourly income after 30 hours = 8.5×1.5 = 12.75
According to the question,
Simons earning for 35 hours = 8.5 × 30 + 12.75 × 5  = $318.75

Thus, the required earnings for Simon for the 35 hours is $318.75.

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Answer:

3

Step-by-step explanation:

The only one without x

Answer:

g(15) = 2

General Formulas and Concepts:

Pre-Alg

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 4x + 7

g(x) = f⁻¹(x)

g(15) is x = 15

Step 2: Find inverse

Step 3: Evaluate

Answer:

..........uh ok but u do know that u need to answer questions and get points to talk to users....right..?

Answer:

7

Step-by-step explanation:

Answer:

Mistakes:

Used addition

Didn't flip inequality form

Corrections:

Divide each term

Instead of a positive value it should be negative

flip the direction of the inequality form

Step-by-step explanation:

\( - 9x \div - 9 \leqslant 90 \div – 9 \)

cancel the common factor

\( \times \leqslant 90 \div - 9\)

Divide 90 by – 9

Answer is:

\( \times \leqslant - 10\)

Hope this helps!

Answer:

I think the answer is -7 1/5, -7.1 repeating, 23/3, square root of 50

88 is the measure of arc BC.​

What is arc ?

In general, an arc is any smooth wind joining two points. The length of an arc is known as its arc length. In a graph, a graph arc is an ordered brace of conterminous vertices. In particular, an arc is any portion( other than the entire wind) of the circumference of a circle.

                       An arc is the term used to describe the convex area of a circle that curves away from an angle like this, between two line segments or rays. A circle's circumference, or outside border, is known as the arc's circumference, and it is this area that is measured when an arc is drawn along it.

DE ≅ BC

  3x + 22 = 4x

      4x - 3x = 22

          x = 22

BC = 4X = 4 * 22

              =    88

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To find the probability that 330 or fewer or 350 or more students will pass on the first attempt, we can use the binomial probability formula. Let's calculate it step by step:

Probability of passing on the first attempt: p = 0.7

Number of students: n = 500

(a) Probability that 330 or fewer students will pass on the first attempt:

We need to find the cumulative probability from 0 to 330. Using a binomial distribution, we can calculate it as follows:

P(X ≤ 330) = Σ(k=0 to 330) [C(n, k) * p^k * (1-p)^(n-k)]

(b) Probability that 350 or more students will pass on the first attempt:

We need to find the cumulative probability from 350 to 500. Using a binomial distribution, we can calculate it as follows:

P(X ≥ 350) = Σ(k=350 to 500) [C(n, k) * p^k * (1-p)^(n-k)]

(c) Probability that exactly 350 students will pass on the first attempt:

Using the binomial probability formula, we can calculate it as follows:

P(X = 350) = C(n, 350) * p^350 * (1-p)^(n-350)

Calculating these probabilities using a binomial calculator or software will give you the desired results rounded to the nearest 4 decimal places.

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Answer:

what number is y?

it would be x no?

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

What's the x value of a point that's considered as the y-intercept? It's 0.

With that in mind, let's solve this by plugging 0 into the function

\(f(0) = -(0+1)^2\\f(0) = -1\)

Good luck!

Answer:

I can't explain it so hope this helps. x

Step-by-step explanation:

The required two numbers are 6 and 8.

Let us denote the required numbers by c and d.

Given that the difference between two natural numbers is 2.

If we assume d > c, then d – c = 2

⇒ d = 2 + c → equation 1.

Also given that the sum of their squares is 100.

⇒ c² + d² = 100

⇒ c² + (2 + c)² = 100 (using the value of d from equation 1)

⇒ 2c² + 4c + 4 = 100

⇒ 2c² + 4c = 96

⇒ 2c(c+2) = 96

⇒ c(c+2) = 48

Using the factorization for 48, we get 6 × 8 = 48

⇒ c = 6

⇒ c+2 = 8

⇒ d = 8

Therefore, the required two numbers are 6 and 8.

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The cost of each of the 15 tubes given a total cost of tubes to be $277.50 is $18.50

Given:

Total cost of rubes = $277.50

Total number of tubes = 15

Cost of each tube = Total cost of rubes / Total number of tubes

= $277.50 / 15

= $18.50

Therefore, the cost of each of the 15 tubes given a total cost of tubes to be $277.50 is $18.50

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The measure of the angle indicated is 104 degrees

From the question, we have the following parameters that can be used in our computation:

The circle

There are intersecting chords on the circle

Using teh equation of intersecting chords, we have

? = 1/2 * Sum of the intersecting arcs

substitute the known values in the above equation, so, we have the following representation

? = 1/2 * (130 + 78)

Evaluate

? = 104 degrees

Hence, the measure of the angle indicated is 104 degrees

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Answer:

60 degrees

Step-by-step explanation:

Since the two lines are intersecting, the angles formed by them are vertical angles. Therefore:

2x+24=144

2x=144-24=120

x=120/2=60

Hope this helps!

Step-by-step explanation:

Therefore,

2x+24= 144° [ Vertically positive angles]

Or, 2x= 144-24

Or, 2x= 120

Or, x= 120/2

Therefore, x= 60°

\(\large\textsf{\textbf{Answer\::}}\)

Please consult the "calculations" section of this ans .

\(\large\textsf{\textbf{Calculations\::}}\)

If y varies directly with x , the equation looks like this :

y=kx , where k is the constant of proportionality

Plug in the values :

8=k/12

Multiply times 12 on both sides :

96=k

So the constant of proportionality is 96 .

Now solve for y when x is 18 as follows :

y=96/18

y≈5.33

\(\footnotesize\texttt{hope\:helpful~}\)

By evaluating the function graphically ,  f (4) = -4

An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable (the dependent variable).

The x-axis is indicated with the input values. The vertical displacement from the x-axis is the appropriate output value for any input value. For instance, the output is identical to f when x = a. (a).

According to the Given information

f( x ) = y

where x is an input and y is an output

We need to find the value for f(4)

f( 4 ) = y

For x = 4 we have a corresponding value at y axis as -4 in fourth quadrant

f (4) = -4

By evaluating the function graphically ,  f (4) = -4

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Solution

We will consider each and every statement and the translate what it mean appropriately

Horizontally translate 4 units left

That means

The option to choose is

Vertically translate 2 units down

That basically mean is to subtract 2

That is

Shrunk vertically by one half

That is

The image below shows what to select

Step-by-step explanation:

b)

make it braintliest please

Answer:

B. RZ =R BZ

Step-by-step explanation:

Since point Z is equidistant from the sides of ARST, it lies on the perpendicular bisectors of both sides. Therefore, CZ and SZ are perpendicular bisectors of AB and ST, respectively.

Option B is true because point R lies on the perpendicular bisector of AB, and therefore RZ = RB.

Answer: vv

Step-by-step explanation:

Since point Z is equidistant from the sides of ARST, it lies on the perpendicular bisector of the sides ST and AR.

Therefore, we can draw perpendiculars from point Z to the sides ST and AR, which intersect them at points T' and R', respectively.

Now, let's examine the options:

A. SZ & TZ: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of ST, and the distance from Z to S and T could be different.

B. RZ = RB: This is true, as point Z lies on the perpendicular bisector of AR, and is therefore equidistant from R and B.

C. CTZ = ASZ: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of AR, and the distances from Z to C and A could be different.

D. ASZ = ZSB: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of ST, and the distances from Z to A and B could be different.

Therefore, the only statement that must be true is option B: RZ = RB.

[(-2-5 )x (-6) ]  is greater than (-2 ) +(-5)x(-6) ]  and the absolute value of greatest integer is 42.

A number system is defined as a system of writing to express numbers.

{(−2)−5}×(−6) and (−2)+(−5×(−6)

Let us solve the expression

{(−2)−5}×(−6)

=-7×(−6)

=42

similarly let us solve for expression [ (-2 ) +(-5)x(-6) ]

=(-2 ) +30

=28

As 42>28

{(−2)−5}×(−6) > (−2)+(−5×(−6)

Therefore [(-2-5 )x (-6) ]  is greater than  (−2)+(−5×(−6).

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If the eigenvectors of a are the columns of the identity matrix (i), then a is a diagonal matrix. If the eigenvector matrix p is triangular, then a is a triangular matrix.

If the eigenvectors of a are the columns of the identity matrix (i), then a is a diagonal matrix. This is because the eigenvectors of a diagonal matrix are simply the columns of the identity matrix, and the eigenvectors of a matrix do not change under similarity transformations.

If the eigenvector matrix p is triangular, then a is a triangular matrix. This is because the eigenvector matrix p is related to the matrix a through the equation:

A = PDP⁻¹

where D is a diagonal matrix whose diagonal entries are the eigenvalues of a, and P is the matrix whose columns are the eigenvectors of a. If the matrix P is triangular, then the matrix A is also triangular. This can be seen by noting that the inverse of a triangular matrix is also triangular, and the product of two triangular matrices is also triangular.

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-- The given question is incomplete, the complete question is

"If the eigenvectors of A are the columns of I, then A is what sort of matrix? If the eigenvector matrix P is triangular, what sort of matrix is A?"