Find the area of the shaded region

Given signalx[n]= 8 + cos(8πn/17)The given signal is a sum of a constant and a cosine signal. The cosine signal is periodic with a period of 17, and a frequency of 8π/17 rad/sample.

To find the fundamental period of the given signal we need to consider both the constant and the cosine signal. Period of constant signal = ∞ Period of cosine signal = 2π/((8/17)π) = 17/4 samples. Now, we need to find the least common multiple (LCM) of the two periods, which will give us the fundamental period.

LCM (17/4, ∞) = 17/4 × 2 = 34/4 = 8.5The fundamental period of the given signal is 8.5 samples.  Now, we need to find the least common multiple (LCM) of the two periods, which will give us the fundamental period.

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Answer: 25

Step-by-step explanation:

Answer:

if you can transfer to englis i may be able to help

Step-by-step explanation:

To calculate the central tendency of the variable "achievement score," George can use several measures, including the mean, median, and mode. The choice of measure depends on the nature of the data and the specific requirements of the analysis. Here's a brief explanation of each measure:

1. Mean: The mean is the average of all the achievement scores. It is calculated by summing up all the scores and dividing by the total number of scores. The mean is commonly used when the data is roughly symmetric and does not have extreme outliers.

2. Median: The median represents the middle value when the data is sorted in ascending or descending order. If there is an odd number of scores, the median is the exact middle value. If there is an even number of scores, the median is the average of the two middle values. The median is often used when the data has outliers or is skewed.

3. Mode: The mode is the value or values that appear most frequently in the data. It can be useful when there are prominent peaks or clusters in the distribution, or when dealing with categorical data.

The choice of the appropriate measure depends on the specific characteristics of the achievement score data, such as its distribution, presence of outliers, and the research question at hand. For example, if the data is normally distributed without outliers, the mean may provide an accurate representation of the central tendency.

However, if the data is skewed or contains extreme values, the median might be a more robust measure. Similarly, if the data is categorical or has distinct clusters, the mode could be informative.

Therefore, George should consider the nature of his achievement score data and the specific requirements of his analysis to determine the most suitable measure of central tendency.

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don't know when you find out tell me

The linear model that represents the total cost of recording is f(x) = 75x + 50.

The initial fee is $50 for recording an album.

There is an additional cost per hour i.e. $75.

number of hours = x

Now based on the above information, the linear model should be f(x)=75x+50

Here 50 represent the initial fee i.e. equivalent to y-intercept

And, 75 represent the slope

Therefore we can conclude that the linear model that represents the total cost of recording is f(x) = 75x + 50.

A basis for the orthogonal complement of W is {[-4, 9, 1, 0]}.

To find a basis for the orthogonal complement of the subspace W spanned by vectors u and v, we need to find vectors that are orthogonal to both u and v.

Given u = [1, 0, 4, 6] and v = [0, 1, -9, 4], we can find the orthogonal complement of W by finding vectors that satisfy the dot product conditions

u · x = 0,

v · x = 0,

Where x is a vector in the orthogonal complement of W.

Let's solve these dot product equations:

1x₁ + 0x₂ + 4x₃ + 6x₄ = 0, -----(1)

0x₁ + 1x₂ - 9x₃ + 4x₄ = 0. ------(2)

We can rewrite equations (1) and (2) as a system of linear equations:

x₁ + 4x₃ + 6x₄ = 0, -------(3)

x₂ - 9x₃ + 4x₄ = 0. -------(4)

We can solve this system of equations to find the values of x₁, x₂, x₃, and x₄.

Solving equation (4) for x₂, we get

x₂ = 9x₃ - 4x₄. ------(5)

Substituting equation (5) into equation (3), we have

x₁ + 4x₃ + 6x₄ = 0. -----(6)

We can choose arbitrary values for x₃ and x₄ and then solve for x₁ and x₂.

Let's choose x₃ = 1 and x₄ = 0

Substituting x₃ = 1 and x₄ = 0 into equation (6), we get

x₁ + 4(1) + 6(0) = 0,

x₁ + 4 = 0,

x₁ = -4.

Substituting x₃ = 1 and x₄ = 0 into equation (5), we get

x₂ = 9(1) - 4(0),

x₂ = 9.

Therefore, we have found one vector x₁ = -4 and x₂ = 9 that satisfies the dot product conditions. Let's denote this vector as x₁ = [-4, 9, 1, 0].

This vector x₁ is orthogonal to both u and v, and thus it belongs to the orthogonal complement of W.

Therefore, a basis for the orthogonal complement of W is {[-4, 9, 1, 0]}.

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Even though dividing a fraction by a whole number might be challenging, it is simple to achieve with a few steps. By placing the full number above 1, you must first divide it into a fraction. After that, multiply the fraction you are dividing by the inverted version of the fraction. Lastly, simplify the response as much as possible.

For instance, to multiply 3/4 by 2:

Put 2 over 1, making it 2/1, to make it a fraction.

To get 1/2, invert 2/1.

To get 3/8, multiply 3/4 by 1/2.

Divide the numerator and denominator by 3 to get 1/4, which is the simplest representation of the fraction 3/8.

Hence, 1/4 is equivalent to 3/4 when divided by 2.

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Answer: I am here to nswer

Step-by-step explanation: so first to this then do another thing

Teen awareness refers to the level of knowledge, understanding, and consciousness that teenagers have about various issues, including but not limited to social, environmental, health-related, and global concerns.

1) In Colorado, teens' awareness of seat belt messages increased by __ percentage points.
The answer choices provided are a.) 6 b.) 14 c.) 17 d.) 23.

2) In Nevada, teens' awareness of seat belt messages increased by __ percentage points.
The answer choices provided are a.) 6 b.) 14 c.) 17 d.) 23.

3) The result of changes in teen seat belt use is unclear as you did not provide any specific information or data to analyze.

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Answer:

$90

Step-by-step explanation:

Sorry to ask but can I have brainliest

Answer:

Step-by-step explanation:

Prime numbers has only two factor 1 and the number itself

Here, 2 , 3  prime factors

36 = 2 * 2 * 3 * 3

Answer:

The value of sine of angle XYZ is equal to 0.96.

Step-by-step explanation:

Given that,

Base, b = 4 cm

Height, h = 13 cm

We need to find the sinY.

Using Pythagoras theorem,

YZ² = XY² + XZ²

YZ² = 4² + 13²

YZ = 13.60 cm

Using trigonometry,

\(\sin Y=\dfrac{13}{13.60}\\\\\sin Y=0.96\)

So, the value of sine of angle XYZ is equal to 0.96.

Answer:

384π cm³

Step-by-step explanation:

Formula for the volume of a cone is \(\displaystyle \large{\frac{1}{3}\pi r^2 h}\) where:—

Our radius is given in an attachment which is 12 cm and height is 8 cm. Substitute these values in the formula:—

\(\displaystyle \large{V = \frac{1}{3}\pi (12)^2 \cdot 8}\\\displaystyle \large{V = \frac{1}{3}\pi \cdot 144 \cdot 8}\\\displaystyle \large{V = 48 \pi \cdot 8}\\\displaystyle \large{V = 384 \pi}\)

__________________________________________________________

Summary

  Volume (Cone)

\(\displaystyle \large{V = \frac{1}{3}\pi r^2 h}\) where:—

h is height or perpendicular.

r is radius.

  Value of Pi (Commonly Used)

\(\displaystyle \large{\pi \approx 3.14}\)

__________________________________________________________

If you have any questions regarding this problem or need clarification for my answer or explanation, do not hesitate to ask in comment! Good luck on your assignment and have a great day!

Answer:

The pass costs $26.60, the souvenir costs $19.70, and the burger costs $2.45.

Answer:

is that the whole math question? I need a number after the < to solve this

If 3100 individuals in a population of 46,785 complain of chronic headaches to one decimal place: 6.6 percent complain of this.

If 3100 individuals in a population,

of 46,785 complain of chronic headaches

then, = 3100/ 46,785

          = 0.066

now change the decimal to a percentage so that we will multiply the decimal by 100

= 0.066 * 100 = 6.6%

To change the percentage to a decimal, divide by 100. So 25% is 25/100, or 0.25. To convert a decimal to a percentage, increase by 100 (simply move the decimal direct 2 spots toward the right).

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Among the expressions given, the expression "12 != 12.0" will evaluate to false. As the values are equal numerically, the expression will evaluate to false.

Let's analyze the options step-by-step:

1. 12 < 12.0: This expression compares the values of 12 and 12.0 using the less than operator (<). In this case, both values are equal numerically, but 12.0 is represented as a floating-point number. However, the expression will still evaluate to false because the values are not strictly less than each other. Therefore, this expression is false.

2. 12 != 12.0: This expression checks if 12 is not equal to 12.0 using the inequality operator (!=). Since the values are equal numerically, the expression will evaluate to false. Therefore, this expression is false.

3. 12 == 12.0: This expression checks if 12 is equal to 12.0 using the equality operator (==). Since the values are equal numerically, the expression will evaluate to true. Therefore, this expression is true.

In summary, the expression "12 != 12.0" will evaluate to false.

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Answer:

red marbles

Step-by-step explanation:

Since the formula is;

Probability = number of required outcome

_______________________

number of possible outcome

3/8. = x/56

8x. = 168

x. 21 ( number of blue marbles)

Therefore if the total marbles = 56 and 21 of the marbles are blue then to get the red marbles

= 56 - 21

= 35

Answer:

mica should have added 2 to 3 instead of 1

Step-by-step explanation:

Answer:

\(-1\dfrac{16}{25}\)

Step-by-step explanation:

\(-1.64 = \dfrac{-164}{100}\)

Strike with 4th table

\(= \dfrac{-41}{25}= -1\dfrac{16}{25}\)

Answer:

12

Step-by-step explanation:

Answer

Step-by-step explanation:

Answer:

42/1 x 7/3= 294/3= 98

Step-by-step explanation:

Answer:

Step-by-step explanation:

You're done!

If you wanted to find the percentage of the decaffeinated teas, just subtract 60% from 100%, and you get 40%.

Answer:

60%

Step-by-step explanation:

Which operators are commutative?

The operators which are commutative (choose all that apply) are: Average of pairs of real numbersMultiplication of real numbers.

The commutative operator states that the order in which the numbers are computed does not affect the result. Thus, the operators which are commutative (choose all that apply) are the average of pairs of real numbers and the multiplication of real numbers. The commutative property applies to binary operations and is one of the fundamental properties of mathematics. It states that changing the order of the operands does not alter the result of the operation. The addition and multiplication of real numbers are commutative properties. It implies that if we add or multiply two numbers, the result will be the same whether we begin with the first or second number.

Thus, the operators which are commutative (choose all that apply) are: Average of pairs of real numbers and the Multiplication of real numbers.

Therefore, the subtraction of integers and composition of bijective functions from the set {1,2,3} to itself are not commutative operators.

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Answer:

You didn't show any of the expressions

Step-by-step explanation:

To solve the compound inequality x<8 and x>a, we need to find the values of x that satisfy both conditions. The compound inequality "x<8 and x>a" means that x must be simultaneously less than 8 and greater than a.

Since the condition x>a is more restrictive, the solution set is determined by x>a. In other words, x must be greater than a to satisfy both inequalities. Therefore, the solution to the compound inequality x<8 and x>a is x>a.

To solve the compound inequality x<8 or x>a, we need to find the values of x that satisfy either condition. The compound inequality "x<8 or x>a" means that x can be less than 8 or greater than a.

In this case, the condition x>a is the more inclusive one, as it encompasses all values greater than a. Therefore, the solution set to the compound inequality x<8 or x>a is x>a, meaning x must be greater than a to satisfy the inequality.

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The null hypothesis for the data will be 21.62 and the alternate hypothesis is 2.02 for the p-value for the data is 0.2253 .

The charge at which anything happens is referred to as the velocity at which it happens.

The required details for mean rate :

(a) H0: µ = 21.62

Ha: µ ≠ 21.62

(b) t = -1.231

p-value = 0.2253

(c) Stop rejecting H0 right now. No longer significantly different from the domestic water tariff in Tulsa, the suggested household water charge per five CCF for the entire USA.

(d) H0: µ = 21.62

Ha: µ ≠ 21.62

t = -1.231

check statistic ≥ 2.020

Don't dismiss H0 any longer. The suggested five CCF residential water charge for the entirety of the USA is no longer significantly different from the five CCF residential water tariff in Tulsa.

The P-value is higher at 0.05, the level of significance. The impact in this instance is negligible. The attempt to reject the null hypothesis failed.

The conclusion is that there is insufficient statistical support to determine whether other American cities have a different mortality rate than Tulsa.

The crucial values for t at this level of significance are t=2.019.

Given that the statistic t = -1.15 is inside the acceptance range in this case, the null hypothesis is not disproved.

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Answer:

The team lost 25 games and won 57.

Step-by-step explanation:

I am going to say what:

w is the number of games won.

As the problem states, l is the number of games lost.

The team won 7 more than twice as many games as it lost.

This means that \(w = 2l + 7\)

A baseball team played 82 games.

This means that:

\(w + l = 82\)

\(2l + 7 + l = 82\)

\(3l = 75\)

\(l = \frac{75}{3}\)

\(l = 25\)

And

\(w = 2l + 7 = 2*25 + 7 = 57\)

The team lost 25 games and won 57.

Answer:

hope this answer helps you dear...take care and may u have a great day ahead!