Which of these numbers is irrational?
A. 1.1
B. -1.11
C. 1
D. V11​

(a) The real discrete Fourier transform (DFT) is calculated for the given data set to analyze the helicopter's acoustic signature.

(b) To obtain the ck values and illustrate the relative size of each term in the Fourier series, we calculate the magnitude of each coefficient and plot their amplitudes on a bar graph against the corresponding frequency component, k.

To analyze the helicopter's acoustic signature, the real DFT is computed for the provided data set. The DFT transforms the time-domain measurements of acoustic pressure into the frequency domain, revealing the different frequencies present and their corresponding amplitudes. This analysis helps in understanding the spectral characteristics of the helicopter's acoustic signature and identifying prominent frequency components.

Using the Fourier series representation, the amplitudes (ck's) of the different frequency components in the Fourier series are determined. These amplitudes represent the relative sizes of each term in the series, indicating the contribution of each frequency component to the overall acoustic signature. By plotting the amplitudes on a bar graph, the relative strengths of different frequency components become visually apparent, enabling a clear comparison of their importance in characterizing the helicopter's acoustic signature.

Learn more about Fourier transform

brainly.com/question/29063535

#SPJ11

Answer:

See below.

Step-by-step explanation:

Model the system of equations, and solve for x to determine the required horizontal distance.

\(\left \{ {{y=-0.5x^2+3x+10} \atop {y=-0.2+7}} \right.\)

Transform the quadratic equation into standard form and substitute for y into linear equation. Since the quadratic equation already is in the standard form, substitute for y:

\(y=-0.2x+7\)  ---> Rewrite the linear equation.

\(-0.5x^2+3x+10=-0.2x+7\) ---> Substitute \(y=-0.5x^2+3x+10\).

\(-0.5x^2+3.2x+3=0\) ----> Simplify.

Solve the equation by using the Quadratic Formula:
Identify \(a=-0.5,b=3.2,c=3.\)

\(x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\)         -----------------> Write the Quadratic Formula.

\(=\frac{-3.2\pm\sqrt{3.2^2-4*(-0.5)*3} }{2*(-0.5)}\) -------------------> Substitute for a, b, and c.

\(=\frac{-3.2\pm\sqrt{16.24} }{-1}\) ----------------------> Simplify.

\(=3.2\pm4.03\) --------------------> \(\sqrt{16.24}=(\text{Estimated})4.03\) and simplify.

\(x=7.23\), and

\(x = -0.83\)

The distance does not make sense for negative numbers, so only consider \(x=7.23.\)

Thank you,

Eddie Echevarria

Step-by-step explanation:

y=mx+b

let (-2,1)

x,y

1 =1/2(-2)+b

1 = -1+b

1+1=b

b=2

Answer:

Step-by-step explanation:

If the population of the town last year was 2000 + x, then this year's population, after an increase of 25 people, can be represented by the expression:

(2000 + x) + 25

Answer:

A

Step-by-step explanation:

The graph of function is given. The correct graph is D.

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.

Given,

function  f(x) = x³ - 3x² - 4x

The properties of the function f(x) = x3 - 3x2 - 4x are as follows:

1) Factors: x (x+1) (x-4)

2) Zeros/roots: x = 0, x = -1, and x=4.

3) Leading coefficient is positive.

4) The graph rises to -1 on the x-axis before descending to cross through 0. It turns up once more through 4, then finishes by turning toward positive infinity.

5) Its graph resembles an upside-down S.

6) Its relative maximum value is 1.128, while its relative minimum value is -13.128.

The graph is given in the attached image.

Therefore, function graph is D.

To learn more about the function;

brainly.com/question/28303908

#SPJ2

The probability that more boys than girls are chosen is 0.4731. So option b is correct.

Combination:

The act of combining or the state of being combined. A number of things combined: a combination of ideas. something formed by combining: A chord is a combination of notes. an alliance of persons or parties: a combination in restraint of trade.

Here it is given that there are 18 boys and 19 girls and 5 students are chosen.

We have to find the probability that more boys than girls are chosen.

Probability = \(C^{5} _{18}\) + \(C^{4}_{18} C^{1} _{19}\) + \(C^{3} _{18} C^{2} _{19}\) / \(C^{5}x_{37}\)

                  = 8568 + 58140 + 139536 / 435897

                  ≈ 0.4731

Therefore the probability is 0.4731.

To know more about the probability refer to the link given below:

https://brainly.com/question/13604758

#SPJ4

Here's how you can use the Trapezoidal Rule to approximate the integral of the function \(f(x) = \frac{1}{{(25+x^2)}^{\frac{3}{2}}}\) from -2 to 2 in MATLAB:

```matlab

a = -2;    % Lower limit

b = 2;     % Upper limit

n = 1000;  % Number of subintervals (increase for higher accuracy)

h = (b - a) / n;   % Step size

x = a:h:b;         % Generate evenly spaced x values

y = 1 ./ (25 + x.^2).^1.5;  % Evaluate the function at x

approximation = h * (sum(y) - (y(1) + y(end)) / 2);  % Trapezoidal Rule approximation

fprintf('Approximation: %.6f\n', approximation);

```

1. We define the lower limit `a` as -2, the upper limit `b` as 2, and the number of subintervals `n` as 1000 (you can adjust `n` for higher accuracy).

2. We calculate the step size `h` by dividing the range (`b - a`) by the number of subintervals (`n`).

3. We generate an array `x` of evenly spaced values from `a` to `b` using the step size `h`.

4. We evaluate the function `f(x)` at each point in `x` and store the results in the array `y`.

5. Finally, we use the Trapezoidal Rule formula to approximate the integral by summing the values in `y` and adjusting for the endpoints, multiplying by the step size `h`.

The Trapezoidal Rule approximation for the integral of the function \(f(x) = \frac{1}{{(25+x^2)}^{\frac{3}{2}}}\) from -2 to 2 is the value calculated using the MATLAB code above.

To know more about Trapezoidal Rule  follow the link:

https://brainly.com/question/28592530

#SPJ11

Answer: A. mode

Step-by-step explanation: Mode is not a measure of the degree of spread or dispersion of scores.

Answer:

c.-18

Step-by-step explanation:

follow me and -GOOD LUCK-

The area decreases by 7.75% each year. After 9 years, the area will be 4700km^2 multiplied by (1 - 0.0775) raised to the power of 9. This equals approximately 2892.31 km^2.

1. Calculate the annual decrease:

4700km^2 * 7.75% = 363.25 km^2
2. Calculate the percentage of the original area remaining after each year:

(100% - 7.75%) = 92.25%
3. Calculate the area after 9 years:

4700km^2 * (92.25%)^9 = approximately 2892.31 km^2.

The area will be approximately 2892.31 km^2 after 9 years.

To learn more about area

https://brainly.com/question/24708544

#SPJ11

Answer:

0.6 hope it helps

Step-by-step explanation:

Answer:

the answer is 0.6

Step-by-step explanation:

\(\frac{21}{35}=\frac{3}{5}\)

\(\frac{3}{5}=0.6\)

hope this helps :)

Points of discontinuity for the rational function y=(x+3)(x-5)(x+7)/(x+1)(x+4) are x = -1 and x = -4.

A rational function is a function that can be expressed as the ratio of two polynomial functions. In the case of the given rational function y=(x+3)(x-5)(x+7)/(x+1)(x+4), the numerator is a polynomial of degree 3, and the denominator is a polynomial of degree 2.

To find any points of discontinuity for a rational function, we need to determine where the denominator is equal to zero. Division by zero is undefined, so any value of x that makes the denominator equal to zero will be a point of discontinuity for the function.

In this case, we set the denominator (x+1)(x+4) equal to zero and solve for x:

(x+1)(x+4) = 0

This equation is true if either (x+1) = 0 or (x+4) = 0. So we have two solutions:

x+1 = 0 or x+4 = 0

x = -1 or x = -4

These values of x make the denominator of the function equal to zero, which means that the function is undefined at these points. These points are known as vertical asymptotes of the function, since the function approaches infinity as x approaches these points from either side.

It's important to note that the numerator of the function does not affect the points of discontinuity, since it is always defined for any value of x. Therefore, the points of discontinuity only depend on the denominator of the function.

To learn more about discontinuity click on,

https://brainly.com/question/28596704

#SPJ4

Answer:

Geometric.

Step-by-step explanation:

It is Geometric because there is a common ratio between the terms.

50p/100p = 1/2

25p/50p = 1/2

The common ratio is 1/2.

Each term is obtained by multiplying by 1/2, so the next term in this progression is 25p * 1/2 = 12.5p.

Answer:

When you add polynomials, you combine only like terms together. When you multiply polynomials, you multiply all pairs of terms together.

Step-by-step explanation:

.

Answer:

adding, subtracting and multiplying polynomials are, basically, the same as adding, subtracting and multiplying numbers. They only difference is that we have a pesky variable to worry about

Given:

Consider the given equation is

\((x-18)^2=1\)

To find:

The values of x.

Solution:

We have,

\((x-18)^2=1\)

Taking square root on both sides, we get

\(x-18=\pm\sqrt{1}\)

\(x-18=\pm 1\)

Adding 18 on both sides, we get

\(x-18+18=\pm 1+18\)

\(x=\pm 1+18\)

Now,

\(x=1+18\) and \(x=-1+18\)

\(x=19\) and \(x=17\)

Therefore, the correct option is A.

They are used in navigation, astronomy, and surveying. Rays are also used in computer graphics, physics, and optics. In addition, rays are used in the study of optics to describe the behavior of light as it travels through different mediums.

According to the video above, the geometric object called a ray has the characteristics that it has one endpoint and extends in away from that endpoint without end.A ray is a line that starts at a single point and extends in one direction to infinity. Rays are commonly used in geometry to explain lines and line segments. A ray has one endpoint, called the endpoint of the ray, from which it starts. The other end of the ray continues in the direction in which it is pointed without any limit. A ray is named by using its endpoint and another point on the ray, with the endpoint first. For example, if ray A starts at point P and passes through point Q, we write the name of the ray as ray PAQ or ray QAP. Rays can be part of line segments and other geometric objects. They can also be used to explain angles and the direction of a light source. Rays are commonly used in mathematics, science, and engineering.

for more seach question surveying

https://brainly.com/question/17365081

#SPJ8

Answer: Continuous variables

A variable is said to be continuous if it can assume an infinite number of real values within a given interval

Step-by-step explanation: yep

Answer:

\(17 \le t \le 28\)

Step-by-step explanation:

Given

\(t = 22\frac{1}{2}\) --- average time

\(\triangle t = 5\frac{1}{2}\) --- the variation

Required

The inequality to represent the scenario

To do this, we simply add and subtract the variation from the average time.

i.e.

\(t \± \triangle t\)

So, the inequality is:

\(22\frac{1}{2} - 5\frac{1}{2} \le t \le 22\frac{1}{2} + 5\frac{1}{2}\)

Solve:

\(17 \le t \le 28\)

Answer: y=-4x+2 will give you a straight line all the way down

The y-intercept formula says that the y-intercept of a function y = f(x) is obtained by substituting x = 0 in it. Using this, the y-intercept of a graph is the point on the graph whose x-coordinate is 0. i.e., just look for the point where the graph intersects the y-axis and it is the y-intercept

hope this helps

Step-by-step explanation:

Answer:

x = 6 cm

Step-by-step explanation:

We can write equations for length and width using the information given:

length = 2 + x

width = 2x - 5

Area = (length)(width) = 56

Area = (2 + x)(2x - 5) = 4x - 10 + 2x² - 5x

Simplifying:

Area = 2x² - x - 10 = 56

2x² - x - 66 = 0

Factoring:

(2x + 11)(x - 6) = 0

x = 6, -11/2

We choose the positive number: x = 6 cm

To check, plug in 6 for x:

Area = (2 + x)(2x - 5) = 56

(2 + 6)(12 - 5) = 56

(8 × 7) = 56

56 = 56

Start writing the equation of the number of coins

then, using the value of each coin write the equation for the amount of money you have

then, use the first equation to solve for d

substitute in the second equation

simplify and solve for q

find the value of d

Answer:

U just add a .3      

Step-by-step explanation:

so it would be 384.3 i think

Answer:

Step-by-step explanation:

Using Trigonometry: SOH CAH TOA,

Cross multiplying:

x = tan (47°) × 35

  =  37.5329

  = 37.53 to two decimal places

Answer : 4x + 1 3/4 = 10

Step - by - step explanation : The reason 4 has an " x " at the end of it is because we don't know its exact number

Answer:

4x + 1 3/4 = 10

Step-by-step explanation:

Answer:

\(y = \frac{1}{2}x - 7\)

Step-by-step explanation:

Slope-intercept form: y = mx + b

slope = m = 1/2

b = y-intercept = b

x = (x  , y) = -4

y = (x , y) = -9

Plug in the corresponding numbers and variables into their corresponding variables:

y = mx + b

\(-9 = \frac{1}{2} * -4 + b\)

First, simplify. Multiply 1/2 with -4:

\(-9 = \frac{1}{2} * -4 + b\\ \\-9 = \frac{1 * -4}{2} + b\\\\-9= -\frac{4}{2} + b\\ -9 = -2 + b\)

Next, isolate the variable, b. Note the equal sign, what you do to one side, you do to the other. Add 2 to both sides of the equation:

\(-9 = -2 + b\\-9 (+2) = -2 (+2) + b\\b = -9 + 2\\b = -7\)

Next, plug in -7 for b in the given slope-intercept form.

\(y = mx + b\\y = \frac{1}{2} x -7\)

\(y = \frac{1}{2} x - 7\) is your answer.

-

Learn more about the slope-intercept form, here:

https://brainly.com/question/9682526

Answer:

Step-by-step explanation:

Use point-slope form and convert to slope-intercept:

Answer: -8

Step-by-step explanation:

-8+22=14

Has to be less than 14 so the value has to be less than -8

Answer:

Step-by-step explanation:

A discount of 40% was allowed on the price

To find the price after the discount first calculate the discount and subtract it from the original price

That's

\( \frac{40}{100} \times 7000\)

= 2800

So the price after the discount is

#7000 - #2800

Which is

Hope this helps you