What is the value of x and how do you know

The y-velocity of the point on the string as a function of x and t is given by the formula

vy(x,t) = -Aωsin(kx - ωt)

and it is obtained by finding the partial derivative of the displacement of the point with respect to time.

The y-velocity of the point on the string as a function of x and t is given by the formula

\(vy(x,t) = -Aωsin(kx - ωt)\)

, where A is the amplitude of the wave, ω is the angular frequency, k is the wave number, x is the position of the point on the string and t is time. Let's see how we can derive this formula.

The wave on the string is a transverse wave because the displacement of the string is perpendicular to the direction of the wave propagation. This means that the velocity of the point on the string is perpendicular to the direction of the wave propagation.

Hence, we need to find the y-velocity of the point on the string. Let's consider a point P on the string at position x at time t. Let's assume that the displacement of the point P is y(x,t) and the transverse velocity of the point P is vy(x,t).

The displacement y(x,t) of the point P can be expressed as a function of x and t as follows:

\(y(x,t) = A sin(kx - ωt)\)

where A is the amplitude of the wave, k is the wave number and ω is the angular frequency.

The transverse velocity vy(x,t) of the point P can be expressed as follows:

\(vy(x,t) = ∂y(x,t)/∂t\)

To find the partial derivative of y(x,t) with respect to t, we need to treat x as a constant and differentiate y(x,t) with respect to t.

This gives:

\(vy(x,t) = ∂y(x,t)/∂t= -Aωcos(kx - ωt)\)

Now, the y-velocity of the point on the string as a function of x and t is given by the formula:

\(vy(x,t) = -Aωsin(kx - ωt)\)

Therefore, the y-velocity of the point on the string as a function of x and t is given by the formula

\(vy(x,t) = -Aωsin(kx - ωt)\)

and it is obtained by finding the partial derivative of the displacement of the point with respect to time.

To know more about derivative visit:

https://brainly.com/question/29144258

#SPJ11

The expected time taken for the system to fail is dependent on the specific details of the system in question.

However, if we assume that the three modes have equal probabilities of occurring and that the failure occurs when the system reaches a specific mode, we can use the concept of Markov chains to find the expected time until failure.

In this case, the expected time until failure would be the reciprocal of the probability of the system transitioning to the failure mode.

Therefore, if each mode has an equal probability of 1/3, the expected time until failure would be 3 units of time.

learn more about probability here:brainly.com/question/11234923

#SPJ11

The complete factorization of the polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

A polynomial is an expression consisting of coefficients and variables forming an equation.

Given the polynomial:

x³ + 2x² -x - 2

Factorizing:

= (x + 2)(x² - 1)

= (x + 2)(x + 1)(x - 1)

The polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)

Find out more on equation at: https://brainly.com/question/29174899

#SPJ1

Answer:

See graph below

Step-by-step explanation:

The equation r=5cosθ basically means the graph is going to be a circle with a radius of 5/2=2.5 to the right on the horizontal axis since it's cosine.

To graph the function r=5cosθ, we graph the function f(x) = 4cos(x), such that functional values are used as the corresponding values of θ and a radius of 2.5

The function is given as:

r=5cosθ

The above means that, we want to graph the function f(x) = 4cos(x), such that functional values are used as the corresponding values of θ.

The radius r is calculated using;

r = 5/2

r = 2.5

Hence, the graph of r=5cosθ has a radius of 2.5

Read more about polar curves at:

https://brainly.com/question/9363127

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\((3 \times 25 )+ 60 = 75 + 60 = \)

\(135\)

Thus Lisa spent 135 $ .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

$135

Step-by-step explanation:

1. Three gallons of paint that cost 25$ would total 75$, since 25 x 3 is 75$.

2. She also had to pay her friend 60$, so 60$+75$ is 135$. Hope this helps!

Answer:

FLIP BRO I DO NOT CARE AT ALL

Step-by-step explanation:

The probabilities for all values of k (18 to 25), and then sum them up to find the exact probability of getting 18 or more heads in 25 tosses of a coin.

To find the exact probability of getting 18 or more heads in 25 tosses of a coin, we can use the binomial probability formula. The formula is:

P(X=k) = (n choose k) * \(p^{k} *(1-p)^{n-k}\)

where P(X=k) is the probability of getting k successes, n is the total number of trials, p is the probability of success, and (n choose k) is the binomial coefficient, which is the number of ways to choose k successes out of n trials.

In this case, we want to find the probability of getting 18 or more heads in 25 tosses of a coin. The probability of getting a head on any one toss of a fair coin is 1/2, so p = 1/2. The total number of trials is 25, so n = 25. Therefore, we can calculate the probability as follows:

P(X ≥ 18) = Σ P(X=k) from k=18 to 25

= Σ (25 choose k) * \((\frac{1}{2} )^{25} *(\frac{1}{2} )^{25-k}\) from k=18 to 25

Using a calculator or software, we can calculate each term of the sum and add them up. The exact probability of getting 18 or more heads in 25 tosses of a coin is approximately 0.035.

This means that out of all possible sequences of 25 coin tosses, only about 3.5% of them will have 18 or more heads.

In summary, to find the exact probability of getting 18 or more heads in 25 tosses of a coin, we can use the binomial probability formula.

The calculation involves finding the sum of several terms, which can be done using a calculator or software. The resulting probability is relatively low, indicating that getting 18 or more heads in 25 tosses of a coin is not a common occurrence.

Know more about   binomial probability   here:

https://brainly.com/question/14984348

#SPJ11

Answer:

43850492959035 ksjaklfhda

Step-by-step explanation:

It is true that the indexed variables (members) of an array must be integers.

The indexed variables or members of an array must be integers. This is because arrays are data structures that store elements in a contiguous block of memory, and each element is accessed using an index. Indexing allows us to uniquely identify and retrieve specific elements within the array. In most programming languages, including C, C++, Java, and Python, array indices are integers and must be whole numbers (positive or negative) without any fractions or decimals. Attempting to use non-integer values as indices would result in a compilation error or unexpected behavior.

To know more about integers,

https://brainly.com/question/29255714

#SPJ11

The value of x in terms of b is   x = -3/b

The value of x when b is 3 is    x = -1

===========================================

Work Shown:

Let's isolate x

-2(bx - 5) = 16

bx - 5 = 16/(-2) ... dividing both sides by -2

bx - 5 = -8

bx = -8+5 ... adding 5 to both sides

bx = -3

x = -3/b ... dividing both sides by b

That wraps up the first part.

-----------

To answer the second part, we plug in b = 3 to get

x = -3/b

x = -3/3

x = -1

The correct option is A. 20,000, as there are a total of 20,000 phone numbers available for the small town.

We know that the phone numbers of a small town either begin with 373 or 377. We are required to find out the number of phone numbers that are available. To solve this question, we need to count the number of phone numbers that are available for each prefix.

The prefix 373 can have numbers ranging from 3730000 to 3739999. Similarly, the prefix 377 can have numbers ranging from 3770000 to 3779999.

Therefore, the total number of phone numbers that are available is the sum of the phone numbers available for each prefix.

Total number of phone numbers = Number of phone numbers available for prefix 373 + Number of phone numbers available for prefix 377

Total number of phone numbers = 10000 + 10000

Total number of phone numbers = 20000

Therefore, The correct option is A. 20,000, as there are a total of 20,000 phone numbers available for the small town.

Learn more about prefix visit:

brainly.com/question/14161952

#SPJ11

Answer:

\(D = 161^o\)

Step-by-step explanation:

Given

\(\angle B = 19^o\)

Required

Find D

The label of the quadrilateral are not clear. However, a more complete question illustrates that B and D are opposite sides.

To solve for D, we make use of:

\(B + D = 180^o\) ---- opposite \(sides\) of a \(cyclic \\\) quadrilateral

Make D the subject

\(D = 180^o -B\)

\(D = 180^o -19^o\)

\(D = 161^o\)

Answer:

Step-by-step explanation:

Given points

Midpoint formula

Midpoint is (2, 2)

The Area of triangle with the given height 10 cm and base 6 cm is calculated to be  30 square centimeters.

To calculate the area of a triangle with height 10 cm and base 6 cm, we can use the formula:

Area = (1/2) x Base x Height

Substituting the given values, we get:

Area = (1/2) x 6 cm x 10 cm

Area = 30 square cm

Therefore, the area of the triangle is 30 square centimeters.

We can see that the area of the triangle is calculated by multiplying the base and height and then dividing the result by 2. In this case, the height of the triangle is 10 cm and the base is 6 cm, so the area is 30 square cm. This formula can be used to calculate the area of any triangle, regardless of its size or shape.

Learn more about Triangles :

https://brainly.com/question/21036800

#SPJ4

The complete question is :

Calculate the Area of triangle with the height 10 cm and base 6 cm .

The scientist that made histogram of the data of amount of rainfall he collected each day for a year to study rainfall has performed descriptive statistics.

Descriptive statistics involves organizing, summarizing, and presenting data in a way that makes it easy to understand. Histograms are a common tool used in descriptive statistics. They are used to visualize the distribution of a dataset, by showing the frequency of data points within different ranges or bins. In this case, the scientist has organized the data by showing the frequency of days with different amounts of rainfall over the course of a year.

To know more on descriptive statistics

https://brainly.com/question/29487303

#SPJ4

Answer:

58°

Step-by-step explanation:

The expression that can be used to find the volume of the sphere in the composite figure is: V= 4/3 π(5)³

The formula provides us with the means to determine the volume of a sphere

V = 4/3 πr³, where r is the radius of the sphere.

In this case, the radius is 5 millimeters.

So, the expression that can be used to find the volume of the sphere in the composite figure is:

V = 4/3 πr³

V= 4/3 π(5)³

Learn more about Volume of Sphere here:

https://brainly.com/question/21623450

#SPJ1

Answer:

67.75

Step-by-step explanation:

\(84.95 - 2.15 \cdot (3.91 - 1.91)^3\)

\(3.91-1.91=2\)

\(2^3=8\)

\(2.15\cdot8=17.2\)

\(84.95 -17.2=67.75\)

So, the final answer is 67.75

Answer:

The square root would be something that multiplies twice by itself to get 39.

Step-by-step explanation:

In this case it is a decimal

6.244997998

We can round to

6.24

It would have cost $ 26.25 to fill the same gas tank in 2015.

Given that it cost $ 12 to fill up a gas tank in 1985, to determine how much it would have cost to fill the same gas tank in 2015, the following calculation must be performed, knowing that the average price of a gallon of gasoline was $ 1.12 in 1985 and $ 2.45 in 2015:

Therefore, it would have cost $ 26.25 to fill the same gas tank in 2015.

Learn more in https://brainly.com/question/10726751

The required equation of the line is y = -3x - 3. Option B is correct.

Given that,
A graph of a function is shown, and we have to determine the equation of the function.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
From the graph, it can be concluded that the function is a line, so the slope of the line is given as,
m = -3 - 0 / 0 + 1
m = -3
And the point on the function is (-3, 0)
Now,
Slope intercept form of the line,
y + 3 = -3 (x - 0)
y = -3x  - 3

Thus, the required equation of the line is y = -3x - 3. Option B is correct.

learn more about function here:

brainly.com/question/21145944

#SPJ1

Answer:it B I hope this helps please mark brainlist

Step-by-step explanation:

I don’t have a explanation I know it’s B

Therefore, Linda bought 21 yards of ribbon. Hence, Linda bought 94 yards of ribbon.

The number of yards of ribbon Linda bought, we need to calculate the difference between the initial balance on the card and the remaining balance after the purchase.

The initial balance on the card was $20. To find the amount spent on ribbon, we subtract the remaining balance ($17.06) from the initial balance. $20 - $17.06 = $2.94

Now, we need to determine how many yards of ribbon Linda could purchase with $2.94, given that the price of the ribbon is 14 cents per yard.

To find the number of yards, we divide the total amount spent ($2.94) by the price per yard (14 cents): $2.94 ÷ $0.14 = 21

Therefore, Linda bought 21 yards of ribbon.

Hence, Linda bought 94 yards of ribbon.

Learn more about yards

https://brainly.com/question/14516546

#SPJ11

It is been proved that (a² + b²)(c² + d²) = (ac + bd)² + (bc - ad)².

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
(a)

(a² + b²)(c² + d²) = (ac + bd)² + (bc - ad)²

LHS,
= a²(c² + d²)  + b² (c² + d²)
= a²c² + a²d² + b²c² + b²d²
= a²c² + b²d² + 2abcd + b²c² + a²d² - 2abcd
= (ac + bd)² + (bc - ad)²
= RHS

Thus, it is been proved that (a² + b²)(c² + d²) = (ac + bd)² + (bc - ad)².

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ1

Answer: least square root if 7, 2.8, pi,

sqaure root of 17, 4.6

Step-by-step explanation:

The linear equation have the following results: f(- 2) = 0, f(0) = 2, f(1) = 3.

In this problem we find a linear equation that must be evaluated at x = - 2, x = 0 and x = 1. Linear equations are expressions of the form:

y = m · x + b

Where:

Now we proceed to evaluate the function, the results are described:

x = - 2

f(- 2) = - 2 + 2

f(- 2) = 0

x = 0

f(0) = 0 + 2

f(0) = 2

x = 1

f(1) = 1 + 2

f(1) = 3

To learn more on linear equations: https://brainly.com/question/29025867

#SPJ1

There are 7 possible positive integers that satisfy the inequality.

In Mathematics, the relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal, we use “not equal symbol (≠)”. But to compare the values, whether it is less than or greater than, different inequalities are used.

We can find the positive values of x in the given inequality.

2x + 8 < 22

2x < 22 - 8

2x < 14

x < 7

The solution shows that x < 7

Learn more on inequality here;

https://brainly.com/question/25275758

#spj1

Answer:

.20 per mile.

Step-by-step explanation:

300 x .25 is 75. 75/375 is .20