Find the Fourier Transform of the function 0 < t < 1 f(t) otherwise (a) by directly calculating the transform integral using integration by parts_ (b) by differentiating the signal three times and writing the transform in terms of the sum of two simpler transforms.

Answer:

Hey I want to try and help you out but can I know which grade you are?

Answer:

y = 7/4x + 14

Step-by-step explanation:

0 = 7/4(-8) + b

0 = -14 + b

14 = b

y = 7/4x + 14

Answer:

It is -4 :)

Step-by-step explanation:

I just did this lol

Answer:

(3x+21)(x-5)

Step-by-step explanation:

To solve this let's create an equation that has intercepts at -7 and 5

To do this we get the following

(x+7)(x-5)

Now we need to make sure that the line passes through (4,-33) To do so we will plug in 4 to see how far off we are

If you plug in 4 into x you should get -11

To make y= -33 we simply need to put a three in the front and then distribute it to the first bracket

So we have

3(x+7)(x-5)

then distribute the 3 to get

(3x+21)(x-5)

I doubled checked this answer on desmos and my math is correct

The events are mutually exclusive events, so P(A|B) is 0.

In this question,

If two events are mutually exclusive, there is no chance that both events will occur. Being the intersection an operation whose result is made up of the non-repeated and common events of two or more sets, that is, given two events A and B, their intersection is made up of the elementary events that they have in common, then

⇒ A ∩ B = 0

Now the conditional probability, P(A|B) = \(\frac{P(A \cap B )}{P(B)}\)

⇒ \(\frac{0}{0.10}\)

⇒ 0.

Hence we can conclude that the events are mutually exclusive events, so P(A|B) is 0.

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Answer:

9

Step-by-step explanation:

Calculate the absolute difference of the 2 points, that is

| - 7 - 2 | = | - 9 | = 9 , or

| 2 - (- 7) | = | 2 + 7 | = | 9 | = 9

Answer:

9

Step-by-step explanation:

You count Down from -7

ex -7,-6,-5

until you get to zero. While doing this the member the amount of times that you counted a number. You should have counted 7. Then you add 2. You could also add 7 and 2 right away.

(Note, if you add 7 and 2 right away, makes sure 7 is a positive number.)

Answer: 23 years.

Step-by-step explanation: The labor productivity grows 3% per year, then the rate of growing is 1 + 0.03 = 1.03.

The equation to caclulate the years is:

\(y = y_{0}.(1.03)^{t}\)

To double: \(y = 2y_{0}\)

Substituing:

\(2y_{0} = y_{0}.(1.03)^{t}\\(1.03)^{t} = 2\\ln1.03^{t} = ln2\\t = \frac{ln2}{ln1.03}\\ t = 23\)

To double the standard of living, it will take 23 years.

Answer:

speak Spanish

Step-by-step explanation:

I"m sorry

to help

Answer:

none of them equals 0.00007

unless a is 7 times 10 to the minus 5 power then the answer is a

Step-by-step explanation:

a=65 for 7 times 10 minus 5 unless the equation is 7 times 10 to the -5 power then the answer is a

b=70 for 7 times 10

c=700000000000 for 7 times 10 to the 11th power

d=0.007 for 7 percent times 10 percent

Answer:

The answer is C, A'. (A one)

Step-by-step explanation:

Answer:

the answer for this is c,a

Answer:

x ≥ 22.6 pages

Step-by-step explanation:

Each page = 20 cards

Cards ready to go in = 48

Let x = number of pages of cards Carlos might have

The inequality:

20x + 48 ≥ 500

20x ≥ 500 - 48

20x ≥ 452

x ≥ 452 / 20

x ≥ 22.6 pages

To factor this expression, you take out the greatest factor of 48 and 8 and also the greatest power of x that is in both terms. The greatest common factor of 48 and 8 is 8, and the greatest power of x is x to the 4th power. You rewrite the expression like this: 8x^4(6x - 1)

The three externalities, which can either be positive or negative are Pollution from a factory, as more electricity is consumed, more coal is burned in power plants and vaccinations, such as the flu shot, can be advantageous for third parties.

The three externalities, which can either be positive or negative are:

1. Pollution from a factory can affect a community's quality of life and lead to health issues for the population.

2. As more electricity is consumed, more coal is burned in power plants, which contributes to pollution and causes smog, acid rain, and global warming.

3. Vaccinations, such as the flu shot, can be advantageous for third parties since they stop the spread of the illness in the general population, which has positive externalities.

These externalities arise because they provide a benefit or incur a cost to a third party, who may be a society or a consumer who is not using the service. Government intervention can address some of these issues in two ways:

(a) Command and control rules that impose direct restrictions on behavior, such as restricting smokestack emissions or the amount of toxic waste and outlining specific cleanup processes.

(b) Market-based policies that can encourage favorable externalities by offering market players incentives to reach the socially optimal level In order to reduce costs or boost production to improve demand and supply, the government can either provide subsidies to buyers or producers.

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Answer:

Step-by-step explanation:

gnag  dsewhqjhnqrhjwqkhjqrkhwq

Based on the mean and standard deviation of men's heights at that time, the tallest living man had a more extreme height compared to the shortest living man.

The question asks which of the two men, the tallest living man or the shortest living man at that time, had a height that was more extreme.

To determine this, we need to compare their heights to the mean and standard deviation of men's heights at that time.

The mean height of men at that time was 177.71 cm, and the standard deviation was 6.03 cm.

The tallest living man had a height of 237 cm, which is 59.29 cm above the mean (237 - 177.71 = 59.29).

The shortest living man had a height of 139.5 cm, which is 38.21 cm below the mean (177.71 - 139.5 = 38.21).

To determine which height is more extreme, we can compare the distance from each height to the mean.

The distance from the tallest man's height to the mean is 59.29 cm, while the distance from the shortest man's height to the mean is 38.21 cm.

Since the distance from the tallest man's height to the mean is greater than the distance from the shortest man's height to the mean,  we can conclude that the tallest living man had the height that was more extreme.

In summary, based on the mean and standard deviation of men's heights at that time, the tallest living man had a more extreme height compared to the shortest living man.

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the equation in slope-intercept form of the line parallel to Line 1 and passing through (-8, 5) is y = 2x + 21.

What is Parallel lines?

Parallel lines are lines in a two-dimensional plane that never intersect. They have the same slope and are always equidistant from each other. Parallel lines can be in any orientation, such as horizontal, vertical, or diagonal, as long as their slopes are equal. In Euclidean geometry, parallel lines remain the same distance apart at all points, and they extend indefinitely in both directions.

To find the equation of a line parallel to Line 1 and passing through the point (-8, 5), we can use the fact that parallel lines have the same slope.

First, let's rewrite Line 1 in slope-intercept form (y = mx + b):

-6x + 3y = 0

3y = 6x

y = 2x

The slope of Line 1 is 2. Since the parallel line has the same slope, we can use the point-slope form of a linear equation to find the equation of the parallel line:

y - y₁ = m(x - x₁)

where (x₁, y₁) is the given point (-8, 5) and m is the slope.

Substituting the values, we have:

y - 5 = 2(x - (-8))

y - 5 = 2(x + 8)

y - 5 = 2x + 16

y = 2x + 21

Therefore, the equation in slope-intercept form of the line parallel to Line 1 and passing through (-8, 5) is y = 2x + 21.

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Answer:

Step-by-step explanation:

the answer would be 1 and 2/3

3 goes into 5 one time and you have 2 left

Answer:

I guess 0-6.

IAM not sure.ok ?

Answer: 0 - 6

Step-by-step explanation:

You start at 0 and go backwards (-) 6

EXPLANATION

If the last term of a trinomial is negative, then we know that the factors are of different sign, and if the last term is positive then the factors have the same sign.

The value of x in the triangle is 90 degrees.

The exterior angle of a triangle is equal to the sum of the two opposite interior angles (remote interior angles).

This is also known as the Exterior Angle theorem.

The triangle is an isosceles triangle. Therefore, the base angles are equal.

Hence,

180 - 135 = 45°(sum of angles on a straight line)

Therefore, using external triangle theorem,

45 + x = 135

subtract 45 from both sides of the equation

45 - 45 + x = 135 - 45

x  = 90 degrees.

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Answer:

X = 26

Step-by-step explanation:

So we know that a straight line equals 180º and we're given both equations. So you just have to set both equations equal to 180. It should look like:

2(x + 15) + (3x + 20) = 180

Use distributive property on the first equation

2(x + 15) = 2x + 30 so now your equation looks like 2x + 30 + 3x + 20 = 180

Add like terms

2x + 30 + 3x + 20 → 2x + 3x = 5x → 30 + 20 = 50

Your equation should look like

5x + 50 = 180

Subtract 50 from both sides, your goal now is to get x by itself

180 - 50 = 130

Divide both sides by 5. 130/5 = 26

X = 26

So now the equations added up should equal 180º. Just plug 26 in to x to solve.

2(26 + 15) + (3 x 26 + 20) = 180

Standard deviation and median are less affected by extreme scores, while mode is not affected at all since it represents the most frequently occurring value.

The measure of variation affected most by a few extreme scores is the range, as it considers only the difference between the highest and lowest values in a dataset. However, the mean can also be influenced by extreme scores, causing it to deviate from the central tendency. Standard deviation and median are less affected by extreme scores, while the mode is not affected at all since it represents the most frequently occurring value.

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The measure of variation affected most by a few extreme scores is the range. The range is the difference between the

highest and lowest values in a data set. Extreme scores significantly increase the range, making it a sensitive measure

of variation.

The measure of variation that is affected most by a few extreme scores is the standard deviation.

The reason for this is that the standard deviation is calculated by taking the square root of the sum of squared

deviations from the mean, and the squared deviations from the mean are particularly sensitive to extreme scores.

On the other hand, the mode, range, median, and mean are less affected by a few extreme scores.

The mode is simply the most frequently occurring value in a dataset and is not affected by extreme scores.

The range is the difference between the highest and lowest values in a dataset and can be affected by extreme scores, but only to a limited extent.

The median is the middle value in a dataset, and it is also not affected by extreme scores unless they are extreme

enough to change the position of the middle value.

The mean is the average value in a dataset, and while it can be influenced by extreme scores, its effect is typically less

pronounced than on the standard deviation.

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The arc length of the curve r = θ² over the interval 0 ≤ θ ≤ 2π is 2π√5. The arc length formula for polar curves: L = ∫[a,b] √(r(θ)²+ (dr(θ)/dθ)²) dθ

To find the arc length of the curve r = θ²over the interval 0 ≤ θ ≤ 2π, we can use the arc length formula for polar curves:

L = ∫[a,b] √(r(θ)²+ (dr(θ)/dθ)²) dθ

In this case, r(θ) = θ^2, and we need to find the arc length for 0 ≤ θ ≤ 2π. Let's calculate it step by step:

1. Find dr(θ)/dθ:

  dr(θ)/dθ = d/dθ(θ²) = 2θ

2. Plug the values into the arc length formula:

  L = ∫[0,2π] √(θ² + (2θ)²) dθ

    = ∫[0,2π] √(θ² + 4θ²) dθ

    = ∫[0,2π] √(5θ²) dθ

    = ∫[0,2π] √(5)θ dθ

3. Simplify the integrand:

  √(5)θ dθ = √(5) * ∫[0,2π] θ dθ

4. Integrate ∫θ dθ:

  ∫θ dθ = (1/2)θ²

5. Evaluate the integral at the limits of integration:

  L = √(5) * [(1/2)(2π)² - (1/2)(0)²]

    = √(5) * [(1/2)(4π²)]

    = 2π√(5)

Therefore, the arc length of the curve r = θ² over the interval 0 ≤ θ ≤ 2π is 2π√(5).

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The complete question is:

Find the arc length of the curve r=θ² over the interval 0≤θ≤2π.

Answer:

We can determine the roots of the quadratic equation f(x) = x^2 + 4x + 7 by using the quadratic formula, which states that for a quadratic equation of the form ax^2 + bx + c = 0, the roots are given by:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

In this case, a = 1, b = 4, and c = 7. Substituting these values into the quadratic formula, we get:

x = (-4 ± sqrt(4^2 - 4(1)(7))) / 2(1)

Simplifying this expression, we get:

x = (-4 ± sqrt(16 - 28)) / 2

x = (-4 ± sqrt(-12)) / 2

Since the square root of a negative number is not a real number, the roots of the equation f(x) = x^2 + 4x + 7 are complex conjugates. Therefore, the equation has no real roots.

Answer:

the divisors of 63 are

Step-by-step explanation:

1,3,7,9,21,63

Answer:

Fraction Form: 2/6 or 1/3

or Decimal Form: .333

or Percent Form: 33.333?%

Step-by-step explanation:

The divisors of 63 that are 1-6 is 1 and 3

So there are TWO numbers out of SIX.

We would turn that into the fraction 2/6 and then simplify (optional) it to 1/3.

Then we use 2/6 to convert it to multiple forms if needed.

Evaluating p(4) using Horner's algorithm:

1. To use Horner's algorithm, we write the polynomial in nested form as follows:

p(z) = ((3z - 7)z - 5)z^2 + (z - 8)z + 2

Now, we can evaluate p(4) by starting from the inside and working our way out:

p(4) = ((3(4) - 7)4 - 5)4^2 + (4 - 8)4 + 2

= (5)4^2 - 4 + 2

= 78

Therefore, p(4) = 78.

2. Finding the Taylor series expansion of p(z) about z0 = 4:

To find the Taylor series expansion of p(z) about z0 = 4, we need to compute the derivatives of p(z) at z0 = 4. First, we compute p'(z) = 6z^2 - 28z^3 - 10z^2 + 2z - 8, then p''(z) = 12z - 84z^2 - 20z + 2, p'''(z) = 12 - 168z - 20, and so on.

Using these derivatives, we can write the Taylor series expansion of p(z) about z0 = 4 as follows:

p(z) = p(4) + p'(4)(z - 4) + p''(4)(z - 4)^2/2! + p'''(4)(z - 4)^3/3! + ...

Substituting in the values we computed, we get:

p(z) = 78 + 10(z - 4) - 41(z - 4)^2/2! - 14(z - 4)^3/3! + ...

Therefore, the Taylor series expansion of p(z) about z0 = 4 is:

p(z) = 78 + 10(z - 4) - 20.5(z - 4)^2 - 2.333(z - 4)^3 + ...

3. Using Newton's method to find a root of p(z):

To use Newton's method to find a root of p(z), we start with an initial guess z0 = 4 and iterate the formula z1 = z0 - p(z0)/p'(z0) until we reach a desired level of accuracy.

4. We already computed p'(z) in part 2, so we can use the formula to compute z1 as follows:

z1 = z0 - p(z0)/p'(z0)

= 4 - (78 + 10(4) - 20.5(4 - 4)^2 - 2.333(4 - 4)^3)/[6(4)^2 - 28(4)^3 - 10(4)^2 + 2(4) - 8]

= 3.9167

We can continue to iterate using this formula to get better approximations for the root of p(z).

Horner's algorithm is a fast and efficient way to evaluate a polynomial at a particular point. It involves using the distributive property of multiplication to rewrite a polynomial in a nested form, then evaluating the polynomial from the inside out.

In this problem, we will use Horner's algorithm to evaluate p(4) for a given polynomial, find its Taylor series expansion about the point z0 = 4, and then use Newton's method to find an approximation for a root of the polynomial.

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Answer: D. 12 ft3

Step-by-step explanation: