The distance between a speaker and a listener is 8.0m. determine the frequency of the sound waves if exactly 20 waves are formed before sun reaches the listener. (speed of sound in the air is 340 m/s) show all work

The correct statement proves that parallelogram KLMN is a rhombus.

The slope of KM is 1 and the slope of NL is –1.

A rhombus is a parallelogram whose all sides are equal. Its diagonals perpendicularly bisect each other.

If one line is perpendicular to the other lines then the product of its slope should be -1.

The slope of the KM is;

\(\rm Slope = \dfrac{7-1}{7-1}\\\\Slope=\dfrac{6}{6}\\\\Slope=1\)

The slope of the KM is 1.

And the slope of NL is;

\(\rm Slope =\dfrac{5-3}{3-5}\\\\Slope=\dfrac{2}{-2}\\\\Slope=-1\)

The slope of NL is -1.

Hence, The slope of KM is 1 and the slope of NL is –1.

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Answer:

The correct statement proves that parallelogram KLMN is a rhombus.

The slope of KM is 1 and the slope of NL is –1.

Step-by-step explanation:

The results of given question's parts based on hypothesis testing.

a) Null and Alternative hypothesis

H₀ : p = 0.8

H₀ : p = 0.8 Hₐ : p < 0.8

b) test statistic (z value ) is Z = -2.25.

c) P- value ( Z꜀ ) is - 1.64

d) Rejected the null hypothesis.

We have given that

Sample size, n = 900

Hypothesis population proportion, p₀ = 0.80

Sample proportion , p-hat = 0.77

favourable cases, X = 693

significance level, α = 0.05

a) The following null and alternative hypothesis for population proportion needs to be tested :

H₀ : p = 0.8

Hₐ : p < 0.8

This is corresponding to a left tailed test for a z test for one population will used .

c) we have given that, Significance level is α=0.05 and the critical value for a left tailed test is Z꜀ = - 1.64

so, the rejection region for left tailed test R = { Z Z<- 1.64 }

b) Z- statistic value :

Z = (p-hat - p₀)/√p₀(1-p₀)/n

=> Z = ( 0.77 - 0.8 )/√0.8×0.2/900

=> Z = -2.25

d) Decision about Null hypothesis,

Since, it is observed that Z = - 2.25 < Z꜀ = - 1.645 it is then concluded that the null hypothesis is rejected. Reject the null hypothesis. There is not enough evidence to conclude that the percentage of infants who receive immunization s is less than 80%.

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Answer:

I'm 50% sure it is B)8,4

We want to find the coordinates of a point D such that AB is parallel to CD.

The coordinates of D are: D (10, 7).

We have that:

If we want CD to be parallel to AB, then the change in the components between D and C must be the same as the change in the components between B and A.

The change in the x-component between B and A is:

8 - 1 = 7

The change in the y-component between B and A is:

4 - 7 = -3

Then the coordinates of D are given by:

x = 3 + 7 = 10

y = 10 + (-3) = 7

The coordinates of D such that CD is parallel to AB are:

D(10, 7).

Notice that this is just an option, there are a lot of other possible coordinates that will also make CD parallel to AB, this is just the easier one to find.

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The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.

The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.

Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.

Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.

To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.

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Answer:

0.35 * 1000 = 350

1.2 * 1000 = 1200

Answer:

We know:

Covert the given l to ml:

(a)

(b)

The command in Stata would be the most useful is reg when  you want to combine this with a dataset that reports how much each individual sleeps per week.

A collection of data is known as a data set (or dataset). In the case of tabular data, a data set relates to one or more database tables, where each row refers to a specific record in the corresponding data set and each column to a specific variable. The data set includes values for each of the variables, such as the object's height and weight, for each set member. Data sets may also include a group of files or documents.

For data management, visualisation, statistics, and automated reporting, Stata is a general-purpose statistical software programme created by StataCorp. Researchers in a variety of disciplines, such as science, biomedicine, epidemiology, and sociology, use it.

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Answer:

704 people out of 800

Step-by-step explanation:

88% of 800= 704

Answer:

x = 5

Step-by-step explanation:

27= 3 (3х - 6)

27 = 9x - 18

27 + 18 = 9x

45 = 9x

45/9 = x

5 = x

x = 5

The volume of the secret room is 504 cubic yards.

To calculate the volume of the secret room shaped like a rectangular prism, we multiply its length, width, and height together.

The length of the room is given as 8 yards, the width as 7 yards, and the height as 9 yards.

Volume = Length × Width × Height

Volume = 8 yards × 7 yards × 9 yards

Calculating the multiplication:

Volume = 504 cubic yards

Therefore, the volume of the secret room is 504 cubic yards.

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I can do a and b for you but im unsure about c and d. I'm sorry :((

a. x = 2  

It is the only point that hits the x axis, thus making it a zero of f(x).

b. substitute 2 for x in the original equation and it should equal 0.

f(x)= x^3 - 2x - 4

f(x)= 2^3 - 2(2) -4

f(x)= 8 - 4 - 4

f(x)= 0

The difference in the rate of change between Function A and function B is -2.

The difference in the rate of change between function A and function B, we first need to identify the rate of change for each function. The rate of change, also known as the slope, represents how much the dependent variable (y) changes for every unit increase in the independent variable (x).

Let's assume function A is represented by the equation y = 2x + 3, and function B is represented by the equation y = 4x - 1.

For function A: y = 2x + 3, the coefficient of x is 2, indicating that for every unit increase in x, y increases by 2. Therefore, the rate of change for function A is 2.

For function B: y = 4x - 1, the coefficient of x is 4, indicating that for every unit increase in x, y increases by 4. Therefore, the rate of change for function B is 4.

Now, to find the difference in the rate of change between function A and function B, we subtract the rate of change of function B from the rate of change of function A:

Difference in rate of change = Rate of change of function A - Rate of change of function B

                          = 2 - 4

                          = -2

The difference in the rate of change between function A and function B is -2. This means that for every unit increase in x, function B increases at a rate that is 2 units greater than function A. It indicates that function B has a steeper slope and a faster rate of change compared to function A.

In summary, the difference in the rate of change between function A and function B is -2.

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The solution to the given quadratic equation, x^2 + 5x + 6 = 0, is  x = -3 and x = -2

From the question, we are to solve the given quadratic equation.

The given quadratic equation is

x^2 + 5x + 6 = 0

First, we will write the given equation properly.

The given equation written properly is

x² + 5x + 6 = 0

Solving the equation by factoring

x² + 2x + 3x + 6 = 0

x(x + 2) +3(x + 2) = 0

(x + 3)(x + 2) = 0

x + 3 = 0 and x + 2 = 0

x = -3 and x = -2

Hence, the solution to the equation is x = -3 and x = -2

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Answer:

=2g+9

Step-by-step explanation:

5g+14−3g−5

=5g+14+−3g+−5  

=5g+14+−3g+−5

=(5g+−3g)+(14+−5)

=2g+9

Answer:

33 Cm

4x6 is 24

to find the top (triangle) You have to use A= height and base divided by 2.

Basically multiply like a square and divide by two

For the explanation I multiplied 6 by 4 (24 Cm) for the first part and then multiplied (3x6)/2 (9 Cm) for the second part giving me a total of 33 Cm.

Answer:

56a+40b

Step-by-step explanation:

43a plus 13a is 56a, -12b + 52b is 40b, together it's 56a+40b

Answer: 5, 10, 15, 20

Step-by-step explanation:

Domain is all possible values that can be used as inputs in a function.

The arcade machine accepts multiples of 5 game tokens. You have 20 tokens. As the machine accepts 5 game tokens, the minimum is 5. Since you have 20, the maximum is 20.

The multiples of 5 are:

5 x 1 = 5

5 x 2 = 10

5 x 3 = 15

5 x 4 = 20

The output energy spectral density ψy(f) is  \(sinc^2\)(f) * rect(f/(a+2)).

To determine the output energy spectral density ψy(f), we need to find the Fourier transform of the autocorrelation function Rx(τ) and multiply it by the magnitude squared of the Fourier transform of the impulse response H(f).

Given:

Rx(τ) = \(sinc^2\)((a+2)τ)

h(t) = rect(t-(a+1))

First, let's find the Fourier transform of Rx(τ):

Rx(f) = F{Rx(τ)} = F{\(sinc^2\)((a+2)τ)}

Using the property of the Fourier transform, the squared sinc function transforms to a rectangular function:

Rx(f) = rect(f/(a+2))

Next, let's find the Fourier transform of the impulse response h(t):

H(f) = F{h(t)} = F{rect(t-(a+1))}

Using the shifting property of the Fourier transform, we get:

H(f) = \(e^{-j2\pi f(a+1)\)sinc(f)

Now, we can calculate the output energy spectral density ψy(f) by multiplying the Fourier transforms of Rx(τ) and h(t):

ψy(f) = \(|H(f)|^2\) * Rx(f)

ψy(f) = \(|e^{-j2\pi f(a+1)}sinc(f)|^2\) * rect(f/(a+2))

Simplifying, we have:

ψy(f) = \(sinc^2\)(f) * rect(f/(a+2))

Therefore, the output energy spectral density ψy(f) is \(sinc^2\)(f) multiplied by a rectangular function centered at f/(a+2).

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Let's denote the width of the rectangle as w. According to the given information, we can set up the following equations:

The length of the rectangle is less than twice the width:

Length < 2 * Width

The area of the rectangle is 65 square yards:

Length * Width = 65

Given that the length of the rectangle is 3 yards, we can substitute this value into the equations:

Therefore, the width of the rectangle is greater than 3/2 yards (approximately 1.5 yards), and the width is approximately 21.67 yards.

To find the length, we can substitute the width into equation 2:

Length = 65 / Width

Length ≈ 65 / 21.67

Length ≈ 3 yards

So, the dimensions of the rectangle are approximately 3 yards in length and 21.67 yards in width.

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Answer:

1

-1

-3

3

Step-by-step explanation:

f(1) = 2(1) -1

f(1) = 1

f(0) = 2(0) -1

f(0) = -1

f(-1) = 2(-1) -1

f(-1) = -3

f(2) = 2(2) -1

f(2) = 3

Answers in order from top to bottom:

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

Explanation:

To get each answer shown above, we replace each x value with a single specific value.

In the top row, we have x = 1. So we'll replace every x with 1 to get...

f(x) = 2x-1

f(1) = 2(1)-1

f(1) = 2-1

f(1) = 1

So that's why 1 goes in the first box.

--------------------

We repeat the same structure of steps for x = 0

f(x) = 2x-1

f(0) = 2(0)-1

f(0) = 0-1

f(0) = -1

Meaning that -1 goes in the second box.

----------------------

Repeat for x = -1

f(x) = 2x-1

f(-1) = 2(-1)-1

f(-1) = -2-1

f(-1) = -3

When we subtract a positive from a negative, we're really adding the two positive versions of the number, and then making the final result negative.

So -3 goes in the third box.

-----------------------

Repeat for x = 2

f(x) = 2x-1

f(2) = 2(2)-1

f(2) = 4-1

f(2) = 3

We have 3 go in the fourth box.

-----------------------

Side note: This is a linear function in slope intercept form y = mx+b. We have m = 2 as the slope and b = -1 as the y intercept.

The correct option of the given statement "Janice's funds to triple if she has $5,000 invested in a bank that pays 9.4% annually" is 11.86 years.

To solve the problem, we can use the formula for the future value of a single sum.

FV = PV (1 + i)ⁿ

Where,

PV is the present value of the investment

"i" is the annual interest rate

n is the number of years

FV is the future value of the investment.

So, we can say that the future value (FV) of Janice's investment will be 3 times her present value (PV). Thus,

FV = 3 PV

    = 3 × 5,000

    = $15,000

Now, we can substitute the given values in the formula:

FV = PV (1 + i)ⁿ

15,000 = 5,000(1 + 0.094)ⁿ

Dividing both sides by 5,000, we get:

3 = (1 + 0.094)ⁿ

Taking the logarithm of both sides:

log 3 = log (1 + 0.094)ⁿ

log 3 = n log (1 + 0.094)

n = log 3 / log (1 + 0.094)

n = 11.86 years

Therefore, it will take approximately 11.86 years for Janice's funds to triple.

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Answer:

5.8 or 29/5

Step-by-step explanation:

you have a typo mistake it's 61 not 16

Answer:

The answer is 30

Step-by-step explanation:

12÷2×5

6×5

=30

The quadratic equation with zeros at -6 and 2 is y² + 4y - 12 = 0. This is in standard form, which is ax² + bx + c = 0, with a = 1, b = 4, and c = -12.

To find the quadratic equation with zeros at -6 and 2, we can start by using the fact that if a quadratic equation has roots x₁ and x₂, then it can be written in the form

(y - x₁)(y - x₂) = 0

where y is the variable in the quadratic equation.

Substituting the given values of the zeros, we get

(y - (-6))(y - 2) = 0

Simplifying this expression, we get

(y + 6)(y - 2) = 0

Expanding this expression, we get

y² - 2y + 6y - 12 = 0

Simplifying this expression further, we get

y² + 4y - 12 = 0

So the quadratic equation with zeros at -6 and 2 is

y² + 4y - 12 = 0

This is the standard form of a quadratic equation, which is

ax² + bx + c = 0

where a, b, and c are constants. In this case, a = 1, b = 4, and c = -12.

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Answer:

6.5

Step-by-step explanation:

Square 42

\(\sqrt{42}\)=6.48074....

rounded to the tenth is 6.5

Hope this helps!

Answer:

The correct answer would be 17

I took the test and it was correct

Sorry its late hope it helps!

Answer: 17

Step-by-step explanation:

θ= 17

Correct answer on the test.

The "quarterly seasonality without trend" model is used to forecast quarterly sales, and the quarter 4 forecast for year 11 using this model is 1167 1089 1001 999.

The exhibit 4 quarterly sales for three years are given as follows: QuarterYear 1Year 2Year 31 9231,1121,2432 1,0561,1561,3013 1,1241,1241,2544 9921,0781,198

Solution: Given, quarterly seasonality without trend model,Quarter 1Quarter 2Quarter 3Quarter 4Sales Year 1923 1056 1124 992Sales Year 21075 1156 1124 1078Sales Year 31162 1301 1254 1198

Calculating the mean sales of each quarter across the years,Quarter 1Quarter 2Quarter 3Quarter 4Mean Sales1118.33 1174 1207.33 1089.33

For forecasting the sales in the year 11, we have to use the mean sales of each quarter and forecast the sales for each quarter.

So the quarter 4 forecast for year 11 using the quarterly seasonality without trend model is:Quarter 1Quarter 2Quarter 3Quarter 41167 1174 1001 999  

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Stem plots (also known as stem-and-leaf plots) have several advantages over frequency distributions, including:

1. Stem plots show individual data points: Unlike frequency distributions, which group data into intervals, stem plots show each individual data point. This makes it easier to see the distribution of the data, including the shape, the range, and any outliers or gaps. Stem plots can also reveal patterns and trends in the data that may not be apparent from a frequency distribution.

2. Stem plots are easy to construct: Constructing a stem plot requires minimal computation and is relatively simple to create by hand. It involves only sorting the data and then splitting each data point into a stem (the leading digits) and a leaf (the trailing digit). This makes stem plots a convenient tool for quick exploratory data analysis, especially when dealing with small to moderate-sized datasets. In contrast, constructing a frequency distribution can be more time-consuming, as it requires choosing appropriate intervals and counting the number of data points in each interval.

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Answer:

X is equals to 2

Step-by-step explanation:

I hope it helps you

The answer you neede is below.

What is Lines square?

Different sorts of lines, including horizontal, vertical, parallel, and perpendicular ones, can be found in geometry. These lines are crucial in the building of many polygonal shapes. For instance, four lines of equal length form a square, whereas three lines joined end to end form a triangle.

Step by step Explaination: