4 - x + \(6^{2}\) \(\geq\) 21

Wave interference that results in greater wave amplitude is called Constructive interference.

What is Wave Interference?

Wave interference is a physical phenomena that occurs when two waves collide while traveling through the same medium. Waves interact in two ways.

a) Constructive Interference - In this case, the two waves cancel each other out because their amplitudes are equal and opposite.

b) Destructive Interference - This occurs when two waves add to each other as they travel in the same direction, resulting in a wave with a longer wavelength.

It is Constructive interference.

Therefore, Wave interference that results in greater wave amplitude is called Constructive interference.

To know more about Wave Interference visit,

https://brainly.com/question/12466679

#SPJ4

The length of the curve is approximately 34.10 units.

To find the length of the curve described by the vector-valued function r(t) = 9t i + \(8t^{(3/2)}\) j + 4t² k, where 0 ≤ t ≤ 1, we can use the arc length formula:

L = ∫ √[dx/dt)² + (dy/dt)²  + (dz/dt)² ] dt

First, let's find the derivatives of each component of the vector r(t):

dx/dt = 9

dy/dt = (\(8t^{3/2}\))) * (3/2) * (2/\(\sqrt{t}\)) = 12t² /\(\sqrt{t}\) = 12\(t^{(5/2)}\)

dz/dt = 8t

Next, we substitute these derivatives into the arc length formula:

L = ∫ √[(dx/dt)²  + (dy/dt)²  + (dz/dt)² ] dt

L = ∫ √[9²  + (12t^(5/2))²  + 8² ] dt

L = ∫ √[81 + 144t⁵ + 64] dt

L = ∫ √[144t⁵ + 145] dt

Now we integrate with respect to t:

L = ∫  \((144t⁵ + 145)^{(1/2)}\) dt

This integral can be challenging to solve analytically. However, we can approximate the length using numerical methods such as numerical integration techniques or software.

Using numerical integration software, we find that the length of the curve is approximately 34.10 units.

To know more about derivatives visit:

https://brainly.com/question/25324584

#SPJ11

Question:

1 + 1 = ? help now please asap!

Answer:

1 + 1 = 2

hope this helps :)

Answer:

42.9 cm

Step-by-step explanation:

Area of a circle is A = pi r²

to get r (radius) from circumferance. r = C/ (2 pi)

pi = 3.14

Answer:

Explanation:

First we evalaute g(x) at x = 3

Now we evaluate F(g(3)) by putting in g(3) = 9.

Hence,

which is our answer!

In either the Hay Bale Toss or Pie Eating Contest, the graph's range of 0-19 will be extended by 20.

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices.

In either the Hay Bale Toss or Pie Eating Contest, the graph's range of 0-19 will be extended by 20. 20 students attended the fair, total. Group age = 0 to 16

This age range is located in the histogram's first interval, which is 0–19. The graph for the pie eating competition would remain the same if all 20 pupils had participated in the hay bale toss, with the bar representing 0–19 rising from 40 to 60.

The graph of the Hay Bale Toss would remain same if all 20 pupils had participated in the Pie Eating Contest, increasing the bar of 0-19 from 20 to 40.

To know more about graphs visit:

https://brainly.com/question/11950136

#SPJ4

Answer:

Area = 254.34 inches²

Step-by-step explanation

     radius = diameter ÷2

              r = 18 ÷ 2

              r = 9 inches

Area = πr²

         = 3.14 *9 * 9

         = 254.34 inches²

Answer:

A≈254.47in²

Ta-da

The value of the annuity if received in a lump sum now would be $16,906.67.

To find the present value of the annuity, we need to discount the future payments by the annual growth rate of the economy. Since the annuity pays $125 per month, the annual payment is $1,500. Using the formula for the present value of an annuity, we can calculate the present value as:

\(PV = A * ((1 - (1 + r)^{-n}) / r)\)

Where PV is the present value of the annuity, A is the annual payment, r is the discount rate (3.89% in this case), and n is the number of periods (120 months in this case).

Substituting the values into the formula, we get:

\(PV = $1,500 * ((1 - (1 + 0.0389)^{-120}) / 0.0389) = $16,906.67\)

Therefore, if Gifford received the annuity in a lump sum now, he would receive $16,906.67.

For more questions like Growth Rate visit the link below:

https://brainly.com/question/9678367

#SPJ11

The value of the probability p(x > 105.0) for the given normal random variable is found as 0.6915.

For the stated question -

The formula for the z score -

z = (x - μ)/σ

In which,

μ = 140  and σ = 20

Put the values-

z = (150 - 140)/20

z = 0.5

p(x > 105.0) = p(z > 0.5)

p(x > 105.0) = 0.6915

Thus, the value of the probability p(x > 105.0) for the given  normal random variable is found as 0.6915.

To know more about the normal random variable, here

https://brainly.com/question/28087511

#SPJ4

The complete question is-

suppose x is a normal random variable with μ = 140  and σ = 20 and find p(x > 105.0).

Answer:

I will assume that

you define a line to be  y= mx + b

in that case m = -7 and b = 3

but you asked for "c" ... do you define a line to be y = mx + c?

if so then the c = 3

Step-by-step explanation:

Answer:

63/10

Step-by-step explanation:

...............i think

Answer:

63/10 would be a simplified fraction

Step-by-step explanation:

You convert 6.30 to a mixed number by placing the numbers right of the decimal over 10, reduce the fraction, then convert it to ana improper fraction by  multiplying the denominatior by the whole number and adding the numerator to get a new numerator. You then place this over the original denominator

Answer:

1.225

Rounded: $1.23

Step-by-step explanation:

3.6* 0.35

Answer:1.26

Step-by-step explanation:

multiply .35 in to 3.6

Answer:

A

Step-by-step explanation:

you just have to mirror it to the other side. so K lands on (4, 1)

Answer:

X=2y+1

X-1/2=y

Answer:

B

Step-by-step explanation:

THIS IS HOW YOU CAN FIND ANY MISSING ANGLE - ALSO SOLVES FOR X IN THIS QUESTION.

So, a traingle is 180 degrees.

A line is also 180 degrees.

We know that the angles that make up the triangle are 46, 90, and a missing angle

We need to find the missing angle to find x

To find the missing angle, we must subtract the known angles by the 180 degrees of the traingle.

So:

180-90

=

90

90-46

=

44

So we know the missing angle is 44 degrees.

Let subtract the missing angle(44 degrees) by the 180 degrees of the line:

180-44

=

136

THIS IS WHAT ANSWERS THE OPTION METHOD THAT GIVES THE ANSWER

So x equals 136. This is the missing angle x.

So, remember, both the line and the traingle are 180 degrees.

They both need to find the missing value, which we know is 44

The rest of both the triangle and line is 136 degrees.

Well, 136 degrees on the triangle is the known 90+46 degrees.

Since this will be the same on the line, we can think of x as:

90+46

This looks like answer 1.

Hope this helps! :)

Read top part so you can understand how to do future problems, and write in comments if you are confused/need more help.

Answer:x − x^{2} − 1.

Step-by-step explanation:

.

Solution

- The formula for finding the integral of a function using the trapezoidal rule is:

- Applying the formula, we have:

- Thus, we can find the Integral as follows:

Final Answer

The integral is 5.9

Answer:

The peanut butter jar costs 1.60 cents

Step-by-step explanation:

Answer: 160=$1 and 60cents

Answer:

according to the figure the width should have the same dimensions e.g if one is 94 the other should be 94 too

Answer:

-8x-8+3

-8x-5

that is the answer for this question and I will send you the link to mp3 and

Answer:

  (b)  2y ≤ 25x and y ≥ 245

Step-by-step explanation:

You want the teacher/student ratio to be at least 2/25, so ...

  x/y ≥ 2/25

  25x ≥ 2y . . . . . multiply by 25y

  2y ≤ 25x . . . . . swap sides to get the form used in answer choice B

The other inequality says the number of students is at least 245:

  y ≥ 245

Answer:

B- 2y ≤ 25x and y ≥ 245

Step-by-step explanation:

Peep the attachment (proof)

This site is only for education related questions. You should only answer or ask questions. That's what we are here for. Whoever is reading this answer, please spread it to stop people from zooming, hurting others, posting non-related to education, or just communicating with others because this is not what Brainly is for. Thank you.

The change left when Susan buys lotion for $2.33 and gives the bill is $8.

Susan buys lotion for $2.33. She gives the clerk a $10 bill, three dimes, and three pennies. The total amount will be:

= $10 + (3 × 0.1) + (3 × 0.01)

= $10.33

The change left will be:

= Total amount - Cost of lotion

= $10.33 = $2.33

= $8

Learn more about money on:

brainly.com/question/24373500

#SPJ1

Option B) George's arrival changes the mood because he complains that Beneatha is giving them a lecture on their African past

In Act 2 of A Raisin in the Sun, George Murchison's arrival changes the mood of the scene as he complains that Beneatha is giving them a lecture on their African past. George's comments create tension and conflict among the characters, particularly with Beneatha, who is exploring her African heritage. His attitude towards Beneatha's interest in her roots is dismissive and condescending, which generates discomfort and disagreement among the characters. George's arrival highlights the cultural differences between him and the Younger family and demonstrates the generational and ideological divides within the African American community. Thus, his presence is a catalyst for revealing deeper tensions and conflicts within the play.

Learn more about division here: brainly.com/question/1575906

#SPJ4

Complete question:

How does the arrival of George Murchison change the mood of the scene?

A) George's arrival changes the mood because he doesn't take part in the dance

B) George's arrival changes the mood because he complains that Beneatha is giving them a lecture on their African past

C) George's arrival changes the mood because he was rich, and they didn't like that a rich white person was in their house

D) George's arrival changes the mood because he had a gun

Answer:

answered by g a u t h m a t h

Step-by-step explanation:

The mass-spring-dashpot system exhibits damped oscillations. The damping coefficient is equal to 1, so the system is critically damped. This means that the oscillations will die away quickly without overshooting. The solution to the initial value problem is given by x(t) = C cos(ωt − α), where C, α, and ω are constants. The period of the oscillation is 2π/ω.

The differential equation x′′ + bx′ + 9x = 4 cos 3t can be rewritten as x′′ + x′ + (9 − 4ω2)x = 0, where ω = 3 is the frequency of the forcing function. The damping coefficient is b = 1, so the system is critically damped. This means that the characteristic equation of the differential equation has two real roots, which are given by r1,2 = −1/2 ± √3/2. The general solution to the differential equation is then given by x(t) = C1e−t/2(√3 − 1) + C2e−t/2(√3 + 1), where C1 and C2 are constants of integration. The initial conditions x(0) = 12 and x′(0) = 0 uniquely determine the constants C1 and C2, and the solution is given by x(t) = 12 cos(3t) − 6t sin(3t).

To know more about damped oscillations here : brainly.com/question/30111348

#SPJ11

Answer: 2 , 1/3 cups

Step-by-step explanation:

1/3 is the base number and 2/3 is another third being added onto the singular 1/3. The awnser would be 2 because 1/3+1/3= 2/3 or 2/3/2= 1/3

Answer:

(x) = │ x - 4│+ 3

Step-by-step explanation:

just did it for a test