does this look right?

Answer:

2x +  y = 11

a² + b = 9

Step-by-step explanation:

I solved these by using order of operations and subsitution.

The signal x; is a discrete signal with N samples and taking values x(n) = &**/N for n = 0,1,...,N-1. The signal Xt is the discrete Fourier transform of x; and is given by:

Xt(k) = Σn=0N-1 x(n) exp(-i2πnk/N)

This means that the Fourier transform of x(n) gives us a set of coefficients, Xt(k), that represent the contribution of each frequency, k, to the original signal x(n). In other words, the relationship between the signals x; and Xt is that Xt is a frequency-domain representation of x;.

The relationship between x and x ¢ is that x ¢ is the complex conjugate of x. This means that if x(n) = a + bi, then x ¢(n) = a - bi. In terms of the Fourier transform, this means that if X(k) is the Fourier transform of x(n), then X ¢(k) is the complex conjugate of X(k). Mathematically, this can be expressed as:

X ¢(k) = Σn=0N-1 x(n) exp(i2πnk/N)

So, the relationship between x and x ¢ is that they are complex conjugates of each other, and the relationship between their Fourier transforms, X(k) and X ¢(k), is that they are also complex conjugates of each other.
Hi! I understand that you want to know the relationship between signals x and x_t, as well as x and x', given a parameter k and a discrete signal x of duration N with values x(n) = &**/N for n = 0, 1, ..., N-1.

1. Relationship between x and x_t:
Assuming x_t is the time-shifted version of the signal x by k units, we can define x_t(n) as the time-shifted signal for each value of n:

x_t(n) = x(n - k)

Mathematically, the relationship between x and x_t is represented by the equation above, which states that x_t(n) is obtained by shifting the values of x(n) by k units in the time domain.

2. Relationship between x and x':
Assuming x' is the derivative of the signal x with respect to time, we can define x'(n) as the difference between consecutive values of x(n):

x'(n) = x(n + 1) - x(n)

Mathematically, the relationship between x and x' is represented by the equation above, which states that x'(n) is the difference between consecutive values of the discrete signal x(n), approximating the derivative of the signal with respect to time.

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Answer:

Its B

Step-by-step explanation:

28.4x

&

3x

&

9.5x

Answer:

Step-by-step explanation:

Sp of an article= Rs 2300

profit%=15%

let Cost Price of an article be X

SP=CP+PROFIT %*CP

2300=X+15/100*X

2300=100X+15X/100

2300*100=115X

230000/115=X

2000=X

Therefore cost price of an article is Rs 2000.

T-test is commonly used to examine whether two groups are significantly different from each other or not.

A t-test is an inferential statistic used to determine if there is a significant difference between the means of two groups and how they are related. T-tests are used when the data sets follow a normal distribution and have unknown variances, like the data set recorded from flipping a coin 100 times.

It is a statistical test that is used to compare the means of two groups. It is often used in hypothesis testing to determine whether a process or treatment actually has an effect on the population of interest, or whether two groups are different from one another.

T-test is used to determine whether two groups are different or not.

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The T-test is commonly used to examine whether two groups are significantly different from each other or not.

A T-test is used to determine if two groups are different.

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The rank of the standard matrix for T is 2, which is determined by the number of linearly independent columns in the matrix.

To find the rank of the standard matrix for the linear transformation T: R^5 → R^3, we need to determine the number of linearly independent columns in the matrix.

The standard matrix for T can be obtained by applying the transformation T to the standard basis vectors of R^5.

The standard basis vectors for R^5 are:

e1 = (1, 0, 0, 0, 0),

e2 = (0, 1, 0, 0, 0),

e3 = (0, 0, 1, 0, 0),

e4 = (0, 0, 0, 1, 0),

e5 = (0, 0, 0, 0, 1).

Applying the transformation T to these vectors, we get:

T(e1) = (1 + 0, 0 + 0 + 0, 0 + 0) = (1, 0, 0),

T(e2) = (0 + 1, 1 + 0 + 0, 0 + 0) = (1, 1, 0),

T(e3) = (0 + 0, 0 + 1 + 0, 0 + 0) = (0, 1, 0),

T(e4) = (0 + 0, 0 + 0 + 1, 1 + 0) = (0, 1, 1),

T(e5) = (0 + 0, 0 + 0 + 0, 0 + 1) = (0, 0, 1).

The standard matrix for T is then:

[1 0 0 0 0]

[1 1 0 1 0]

[0 1 0 1 1]

To find the rank of this matrix, we can perform row reduction or use the concept of linearly independent columns. By observing the columns, we see that the second column is a linear combination of the first and fourth columns. Hence, the rank of the matrix is 2.

Therefore, the rank of the standard matrix for T is 2.

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COMPLETE QUESTION - Let T: R5-+ R3 be the linear transformation defined by the formula T(x1, x2, x3, x4, x5) = (x1 + x2, x2 + x3 + x4, x4 + x5). (a) Find the rank of the standard matrix for T.

Answer:

5 miles per hour

Step-by-step explanation:

0.09 *60 = 5.4 miles per hour

nearest  mile per hour = 5

Tatiana's speed to the nearest mile per hour is 5 miles per hour.

Word problem in mathematics is a concept that comprises algebraic equations and arithmetic operations used to solve real-life cases.

The method that can be used to solve this relation is by equating the minutes in which Tatiana ran to hours.

Given that:

0.09 miles = 0.0166667 hour

x miles =  1hour

∴

\(\mathbf{x = \dfrac{0.09 \ miles \times 1 hour}{ 0.0166667 hour }}\)

x = 5.40 miles per hour

x ≅ 5 miles per hour   (to the nearest mile)

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Answer: D

Step-by-step explanation: Assuming the left point is A at (-2,2) and the right point is B at (3,1) we can determine the slope by using the “Rise over Run” rule where the change in Y is the “Rise” and the change in X is the “Run”. By setting up the equation y2-y1/x2-x1 we can plug in the coordinates from the variables and get 1-2/3+2 which leaves us with our answer m= -1/5

Answer:

\(2 - x = x^2\)

Step-by-step explanation:

Assuming the form is:

\(\sqrt{2 - x} = x \\(\sqrt{2-x})^2 = (x)^2\\2 - x = x^2\\\)

Further solving:

\(0 = x^2 +x - 2\\0 = (x+2)(x-1)\\x = -2, 1\\x = 1\)

x is only 1 because of the domain of the original equaiton.

The inequality that represents z, the possible amount that Kate charges to her credit card is 115+z > 200

What is inequality?

An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.

z, the possible amount that Kate charges to her credit card.

She pays $115 in cash and uses her credit card for the rest.

=> 115+z

Kate buys a skateboard that costs more than $200.

=> 115+z > 200

So, the  inequality that represents z, the possible amount that Kate charges to her credit card is 115+z > 200

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Solving the provided question, we can say that The quadratic equation is \(y^{2}+3{\frac{\sqrt{5}}{2}y} - 5=0\), the value of \(y = -2\sqrt{5}\)

A quadratic polynomial in a single variable is represented by the equation \(ax^{2}+bx+c=0\). a 0.

Since this polynomial is of second order, the Fundamental Theorem of Algebra guarantees that it has at least one solution.

There are both simple and complex solutions. A quadratic equation is just that—quadratic.

It has at least one word that has to be squared, as shown by this. One of the often used solutions for quadratic equations is "\(ax^{2}+bx+c=0\)." where X is an undefined variable and a, b, and c are numerical coefficients or constants.

The quadratic equation is \(y^{2}+3{\frac{\sqrt{5}}{2}y} - 5=0\)

Taking 2 as LCM,

Let \(2y^{2} + 3\sqrt{5} y - 10 = 0\)

On factoring,

\(2y^{2} + 4\sqrt{5} y - \sqrt{5}y - 10 = 0\)

\(2y(y + 2\sqrt{5} ) - \sqrt{5} (y - 2\sqrt{5} ) = 0\)

\((y + 2\sqrt{5} )(2y - \sqrt{5} ) = 0\)

Now, \(y + 2\sqrt{5} = 0\)

\(y = -2\sqrt{5}\)

Also, \(2y - \sqrt{5} = 0\)

\(2y = \sqrt{5}\)

\(y = \sqrt{5} /2\)

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To find the general solution of the given higher-order differential equation y''' − 6y'' − 7y' = 0, we first need to find the characteristic equation by assuming that y = e^(rt), where r is a constant. Substituting this into the differential equation, we get r^3 - 6r^2 - 7r = 0.

Factoring this, we get r(r - 7)(r + 1) = 0. So the roots of the characteristic equation are r1 = 0, r2 = 7, and r3 = -1.

Therefore, the general solution of the differential equation is y(t) = c1 + c2e^(7t) + c3e^(-t), where c1, c2, and c3 are constants that can be determined using initial or boundary conditions.

In summary, the general solution of the given higher-order differential equation y''' − 6y'' − 7y' = 0 is y(t) = c1 + c2e^(7t) + c3e^(-t), where c1, c2, and c3 are constants.

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Answer: 225 centimeters

Step-by-step explanation:

every 1 meter is 100 centimeter

2.25 meters = 225 centimeters

Answer:

225 centimeters

Step-by-step explanation:

To convert meters to centimeters, you multiply the meters by 100 to get your centimeters.

The angle between the (1,1,2) and (0,1,1) lattice directions in a cubic system is approximately 30 degrees.

To find the angle between the (1,1,2) and (0,1,1) lattice directions in a cubic system, we can use the dot product formula between two vectors.

The angle between two vectors can be determined using the dot product formula and the magnitudes of the vectors. We can calculate the dot product of the two vectors and use it to find the angle.

Calculate the dot product: The dot product of two vectors A and B is given by A · B = |A||B|cos(θ), where θ is the angle between the vectors.

Calculate the magnitudes: |(1,1,2)| = √(1^2 + 1^2 + 2^2) = √6 and |(0,1,1)| = √(0^2 + 1^2 + 1^2) = √2.

Calculate the dot product: (1,1,2) · (0,1,1) = 0 + 1 + 2 = 3.

Substitute the values into the dot product formula: 3 = √6 √2 cos(θ).

Solve for cos(θ): cos(θ) = 3 / (√6 √2) = 3 / (√12) = √3 / 2.

Find the angle θ: Using the inverse cosine function, θ = arccos(√3 / 2).

Evaluate the angle: θ ≈ 30°.

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A set is simply the group of related item.

Let:

\(C \to\) Those who eat corn

\(M \to\)Those who eat millet

\(x \to\) Those who eat both

So, we have:

\(C = 400\)

\(M= 290\)

\(None = 60\)

\(Total = 730\)

(a) The number of those who eat both

To do this, we make use of the following equation

\(Total =C + M - x + None\)

The above equation represents the sum of all possible subsets

So, we have:

\(730 =400 + 290 - x+ 60\)

Collect like terms

\(x =400 + 290 + 60 -730\)

\(x =20\)

Hence, 20 villagers eat both

(b) Number of those that eat only one

We have:

\(C = 400\)

\(M= 290\)

The number (n) of those that eat only one is:

\(n =C -x+ M - x\)

\(n = 400 - 20 + 290 - 20\)

\(n =650\)

Hence, 650 villagers eat only one

See attachment for the Venn diagram that illustrates the set

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Answer:  The answer to the question is $59.05

Step-by-step explanation:

Good Luck

An expression that represents the perimeter, in centimetres, of the triangle is 10x+7y+6 centimetres.

Given that, a triangle has side lengths of (8x+10) centimetres, (2x+5) centimetres and (7y-9) centimetres.

The perimeter of a triangle is defined as the total length of its boundary. It is the sum of all three sides of the triangle.

Now, the perimeter of a triangle=(8x+10)+(2x+5)+(7y-9)

=(8x+2x)+7y+10+5-9

=10x+7y+6 centimetres

Therefore, an expression that represents the perimeter, in centimetres, of the triangle is 10x+7y+6 centimetres.

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If a random variable "z" follows a standard normal distribution and the probability of "z" being greater than "k" is 0.39, then the value of "k" such that satisfies the equation [p(z > k) = 0.39] will be 0.28

As per the question statement, a random variable "z" follows a standard normal distribution.

We are required to determine the value of "k" such that the equation   [p(z > k) = 0.39] is satisfied.

To solve this question, first we will have to calculate the probability of "z" being greater than "k" and then from the Z-table, we will determine the z-score corresponding the above calculated probability value. This z-score will be our desired answer, i.e.,

Given, P(Z > k)  = 0.39

Or, P(Z < k) = (1 - 0.39)

Or, P(Z < k) = 0.61

Now, from the Z table, we get the z-score corresponding to probability value of 0.61 is 0.28

Hence, (k = 0.28)

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Answer:

Mean:

10.5+9.2+0+9.3+10.4+9.2=48.6

48.6 divded by 6 =8.1

Median is 9.3

Mode is 9.2

Step-by-step explanation:

Step-by-step explanation:

just earas it. I did that ones lol

When we browse something accidently we have to clear browsing history, report the issue.

It's important to be cautious and mindful of the content you search for, especially on school devices.

Clear your browsing history: Most web browsers have an option to clear your browsing history.

Report the issue: If you feel comfortable doing so, you can report the accidental search to your school's IT department or the appropriate authority.

Learn from the experience: It's crucial to be mindful of the content you search for, especially on shared or school devices.

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Answer:

What are we meant to do?

96:28

96 baseballs to 28 baseball gloves

Answer:

Step-by-step explanation:

All triangles have 180 degrees when the 3 angles are added together.

The angles are x , 33, and the small square is 90

So you have x + 33 + 90 = 180       Combine

x + 123 = 180                                    Subtract 123 from both sides.

x = 180 - 123

x = 57

Answer:

Amy does not have enough flour left over to make 4 pots of potato soup

Step-by-step explanation:

Total quantity of flour = 38 grams

Quantity of flour put in each pot of chowder = 4 grams

Number of pots of chowder = 5

So,

Quantity of flour put in 5 pots of chowder = \(5(4)=20\) grams

Quantity of flour left = Total quantity of flour - Quantity of flour put in 5 pots of chowder

= \(38-20=18\) grams

Number of pots of potato soup = 4

Quantity of flour to be put in each pot of potato soup = 5

Quantity of flour to be put in 4 pots of potato soup = \(4(5)=20\) grams

As quantity of flour to be put in 4 pots of potato soup is greater than quantity of flour left,

Amy does not have enough flour left over to make 4 pots of potato soup

Answer:

A B and C

Step-by-step explanation:

t = 8

It will take Mrs. Reed 8 hours to catch up to Mr. Reed.

To find out how many hours it will take Mrs. Reed to catch up to Mr. Reed, we can set up an equation based on their relative speeds.

Let's assume that Mrs. Reed catches up to Mr. Reed after t hours.

In those t hours, Mr. Reed will have traveled a distance of 50t miles (since he averages 50 mph).

Mrs. Reed, on the other hand, will have traveled a distance of 80(t-3) miles (since she averages 80 mph and leaves 3 hours later).

For Mrs. Reed to catch up to Mr. Reed, their distances traveled must be equal. Therefore, we can set up the equation:

50t = 80(t-3)

Let's solve for t:

50t = 80t - 240

240 = 80t - 50t

240 = 30t

t = 240/30

t = 8

Therefore, it will take Mrs. Reed 8 hours to catch up to Mr. Reed.

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The sum of the smallest and greatest numbers that can be formed using the digits 8, 1, 2, and 6 without repeating each digit is 9889, and the difference between these numbers is 7353.

To find the smallest and greatest number that can be formed using the given digits (8, 1, 2, 6) without repeating each digit, we need to arrange them in ascending and descending order, respectively.

Arranging the digits in ascending order, we get the smallest number:

1 2 6 8

Therefore, the smallest number that can be formed using these digits is 1268.

Arranging the digits in descending order, we get the greatest number:

8 6 2 1

Therefore, the greatest number that can be formed using these digits is 8621.

To find the sum of these numbers, we simply add them:

1268 + 8621 = 9889

To find the difference of these numbers, we subtract the smaller number from the larger one:

8621 - 1268 = 7353

Therefore, the sum of the smallest and greatest numbers that can be formed using the digits 8, 1, 2, and 6 without repeating each digit is 9889, and the difference between these numbers is 7353.

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Answer:

i cant read it

Step-by-step explanation:

To calculate the median for the combined sample of 47 measurements, we need to first find the total number of measurements and then determine the middle value of the combined set.

The table shows that we have two samples with different sample sizes. To combine the samples, we need to calculate the weighted mean. The weighted mean takes into account the sample sizes and is calculated by multiplying each sample mean by its corresponding sample size, adding them together, and dividing by the total sample size. Sample A has 25 measurements with a mean of 10 and a median of 9. Sample B has 22 measurements with a mean of 12 and a median of 14. To calculate the weighted mean for the combined sample, we can use the following formula: (weighted mean) = [(sample A mean x sample A size) + (sample B mean x sample B size)] / total sample size
Plugging in the values, we get: (weighted mean) = [(10 x 25) + (12 x 22)] / (25 + 22) (weighted mean) = (250 + 264) / 47
(weighted mean) = 514 / 47 (weighted mean) ≈ 10.94 Now, to find the median for the combined sample of 47 measurements, we need to order the measurements from smallest to largest and then determine the middle value. Since we don't have the actual measurements, we can't do this directly. However, we know that the median for each sample is the middle value when the measurements are ordered from smallest to largest.
Since the median is the middle value of the combined set, we can assume that half of the measurements in the combined set are less than the median and half are greater than the median. Therefore, the median for the combined sample must be somewhere between 9 and 14.
Using the formula, we get: (weighted median) = 9 + [(47/2 - 25) / 1] x 1(weighted median) = 9 + (11 / 1) (weighted median) ≈ 20
Therefore, the median for the combined sample of 47 measurements is approximately 20.

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Answer: 4

Step-by-step explanation:

If you multiply 5x-2 you will get -10

Do all the steps and you get 4

Therefore your answer is 4.

To find the hourly rate, we can subtract the cost of two hours by the cost of one hour:

So the hourly rate is $40.

Then, to find the initial fee, we subtract the cost of one hour by the hourly rate:

So the initial fee is $15.