Given mſn, find the value of x.
t
(x+27)
(2x-7)

Answer:

B

Step-by-step explanation:

We can use Green's theorem to compute this line integral.First, we need to find the curl of F:curl(F) = ∂(-3x)/∂x - ∂(3y)/∂y = -3 - 3 = -6

Now, we can apply Green's theorem:∫CF⋅ds = ∬R curl(F) dA where R is the region enclosed by the circle x^2 + y^2 = 16.

To evaluate the double integral, we can switch to polar coordinates:x = r cosθ, y = r sinθ, dA = r dr dθ The bounds of integration are: 0 ≤ r ≤ 4 (since x^2 + y^2 = 16) 0 ≤ θ ≤ 2π (full circle)

So, we have: ∫CF⋅ds = ∬R curl(F) dA = ∫0^4 ∫0^2π (-6) r dr dθ = -48π

Therefore, the line integral of F over the given circle is -48π.

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Answer:

a = -7/17

Step-by-step explanation:

Add -4a to -2a

This makes -6a. Then you add 6a to the left to cancel it out, but you must also add 6a to the right of the =

Then you have -7 = 17a

Divide 17 from both sides and you have -7/17 = a

The estimate for the sum of the numbers is 230, and the actual sum of the numbers is 209.

To estimate the sum of the numbers, we can round each number to the nearest ten and then add them together. When rounding off to the nearest tens, we look at the number at the tenth position. If it is five and above, we round it off to the next nearest tens number and if it is below five, we round it off to the previous nearest tens number.

76 rounds to 80   since 6 is above 5
6 rounds to 10 since 6 is above 5
25 rounds to 30 since 5 is located at 5 and above interval
5 rounds to 10 since 5 is located at 5 and above interval
10 rounds to 10 since 0 is below 5
87 rounds to 90 since 7 is above 5

So, the estimate for the sum of the numbers is: 80 + 10 + 30 + 10 + 10 + 90 = 230

To find the actual sum of the numbers, we simply add them together without rounding:

76 + 6 + 25 + 5 + 10 + 87 = 209

The complete question is: 76. 6 25. 5 10. 87 =

What was Sela's estimate and what is the actual sum of the number?

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The forward Fourier Transform formula for a signal is X(jω) = F{x(t)}. The inverse Fourier Transform formula is x(t) = F^(-1){X(jω)}. The two formulas are related by the Fourier Transform property called duality or symmetry.

1. The forward Fourier Transform formula is given by:

  X(jω) = ∫[x(t) * e^(-jωt)] dt

  This formula calculates the complex spectrum X(jω) of a signal x(t) by integrating the product of the signal and a complex exponential function.

2. The inverse Fourier Transform formula is given by:

  x(t) = (1/2π) ∫[X(jω) * e^(jωt)] dω

  This formula reconstructs the original signal x(t) from its complex spectrum X(jω) by integrating the product of the spectrum and a complex exponential function.

  The similarity between these two formulas is known as the Fourier Transform property of duality or symmetry. It states that the Fourier Transform pair (X(jω), x(t)) has a symmetric relationship in the frequency and time domains. The forward transform calculates the spectrum, while the inverse transform recovers the original signal. The duality property indicates that if the spectrum is known, the inverse transform can reconstruct the original signal, and vice versa.

3. To determine the Fourier Transform of the given signal x(t) = [-1, 1, 0, -1], we apply the defining integral:

  X(jω) = ∫[-1 * e^(-jωt1) + 1 * e^(-jωt2) + 0 * e^(-jωt3) - 1 * e^(-jωt4)] dt

  Here, t1, t2, t3, t4 represent the respective time instants for each element of the signal.

  Substituting the time values and performing the integration, we can obtain the Fourier Transform of x(t).

Note: Please note that without specific values for t1, t2, t3, and t4, we cannot provide the numerical result of the Fourier Transform for the given signal. The final answer will depend on these time instants.

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The option that best encapsulates the issues with the principal using this survey to drive policy is:

B. The responses to the survey do not represent a random sample of the school population.

While all of the provided options may raise concerns, option B highlights a crucial issue regarding the representativeness of the survey results. To make informed decisions based on survey data, it is essential that the sample accurately represents the entire population of interest. In this case, the survey responses may not be truly representative of the school population as a whole, leading to potential biases and skewed results.

The principal needs to ensure that the survey was conducted using proper sampling methods to obtain a random and diverse sample of the entire school population. If the survey was distributed selectively or only to a specific group of students, it may not provide an accurate reflection of the overall sentiments within the school. For example, if the survey was distributed only to a particular grade level or to a specific group of students with similar opinions, the results would be biased and not reflective of the entire school population's views.

Additionally, the wording and format of the survey questions may also influence the responses. If the survey questions were leading or lacked clarity, they could potentially bias the results and fail to capture the true sentiments of the students.

To ensure more reliable and valid results, it would be beneficial for the principal to consider other factors such as conducting a random sample survey, using appropriate survey design and methodology, and possibly seeking input from a broader range of stakeholders, including teachers, parents, and staff.

Relying solely on a non-representative survey can lead to flawed decision-making and policies that may not address the actual concerns and needs of the entire school community. It is crucial for the principal to gather comprehensive and representative data before making significant policy changes.

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Answer:

7·35=245

Step-by-step explanation:

Answer:

20, 90 and 100

Step-by-step explanation:

Total number of statues = 210

Assuming that a large statue = x, medium statue = y and a small statue = z

Then, x + y + z = 210........i

Also, we're told that the monthly cost is $760, so

5x + 4y + 3z = 760.........ii

Cost of selling is $3640, so then

26x + 18y + 15z = 3640.........iii

Solving i and ii simultaneously, we have

5x + 5y + 5z = 1050

5x + 4y + 3z = 760

Subtracting, we have

y + 2z = 290.........iv

Again, solving ii and iii simultaneously, we have

130x + 104y + 78z = 19760

130x + 90y + 75z = 18200

On subtracting, we have

14y + 3z = 1560.........v

And finally, solving iv and v simultaneously, we also have

14y + 28z = 4060

14y + 3z = 1560

On subtracting,

25z = 2500

z = 2500 / 25

z = 100

Substituting for z = 100 in iv, we have

y + 2(100) = 290

y + 200 = 290

y = 290 - 200

y = 90

Substituting for y = 90, and z = 100 in i

x + 90 + 100 = 210

x + 190 = 210

x = 210 - 190

x = 20

Therefore, large statues has to be 20, medium statues has to be 90, and small statues has to be 100

Answer:

5.6ft squared

Step-by-step explanation:

4x7 = 28 divided by 5 which is 5.6

-0.4

Step-by-step explanation:

You need to combine like terms, whatever that means. So you would add 2x and 3x to get 5x, and then 4+(-2), which would get you to 5x+2=0. Next, you subtract 2 from both sides, so you have 5x=(-2), and then you have to divide both sides by 5.

That's how I got x=(-0.4).

Answer:-2, 2/3

Step-by-step explanation:

I did on khan academy

Answer:

14.88m²

if you need the solution tell me

Your answer to this question would be A.

(Aka) 401.92 in sq 2

Answer:

a ;)

this answer was to short so i had to add stuff.

Answer: A. y=x²-9x+20

Step-by-step explanation:

As we can see from the graph there are two x-intercepts: (4,0) (5,0)

The easiest way we can do, is we plug these two values into each of the choices.

A. y=x²-9x+20

(4, 0) YES

(5,0) YES

B. y=x²-8x+18

(4, 0) NO

(5, 0) NO

C. y=x²+9x+20

(4, 0) NO

(5, 0) NO

D. y=x²+x-12

(4, 0) NO

(5, 0) NO

Therefore, the answer should be y=x²-9x+20

Hope this helps!! :)

Please let me know if you have any questions

Answer:

\(0.09375\)

Step-by-step explanation:

the total number of balls = 3 + 3 + 2 = 8

Let p be the probability of choosing a green ball, replacing it, and then choosing a yellow ball.

\(p=p\left( \text{choosing a green ball} \right) +p\left( \text{choosing a yellow ball} \right)\)

  \(=\frac{2}{8} \times \frac{3}{8}\)

  \(=\frac{6}{64}\)

  \(= 0.09375\)

Answer:

B)

Step-by-step explanation:

Answer:

My name jeff

Step-by-step explanation:

Hi mi nombre jeff

If the series sum f'(i) is convergent, then f is bounded.

To prove that the series sum f'(i) is convergent if and only if f is bounded, we need to show both directions of the implication.

First, let's assume that f is bounded. This means there exists a positive number M such that |f(x)| ≤ M for all x in the domain [0, ∞).

Since f′ is decreasing and positive, it implies that f' is bounded above by a positive constant. Let's denote this upper bound by K. Therefore, we have |f'(x)| ≤ K for all x in the domain [0, ∞).

Now, let's consider the series sum f'(i). We can write it as:

f'(0) + f'(1) + f'(2) + f'(3) + ...

Since f' is bounded above by K, we have |f'(i)| ≤ K for all i. Thus, we can use the comparison test to show that the series is convergent. The comparison test states that if a series |a(i)| is such that |a(i)| ≤ K for all i, then the series converges.

Therefore, if f is bounded, then the series sum f'(i) is convergent.

Now, let's prove the other direction. Assume that the series sum f'(i) is convergent. This means that the series has a finite sum, i.e.,

f'(0) + f'(1) + f'(2) + f'(3) + ... = C,

where C is a finite constant.

Now, consider the function F(x) = f(x) - Cx. Since f(x) is differentiable, F(x) is also differentiable, and we have F'(x) = f'(x) - C.

Since f' is decreasing and positive, F'(x) is decreasing. Moreover, since the series sum f'(i) is convergent, F'(x) must approach zero as x goes to infinity.

This implies that F(x) is bounded as x goes to infinity, and consequently, f(x) = F(x) + C is also bounded.

Therefore, if the series sum f'(i) is convergent, then f is bounded.

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Answer:

False

Step-by-step explanation:

A segment bisector will intersect a segment at its midpoint, but it is not the midpoint itself.

Answer:

y=3 or just put 3

Step-by-step explanation:

Answer:

J

Step-by-step explanation:

shifts to the right by 1

In this problem, we are given that X has a uniform distribution over the interval (0,1). We need to use the moment generating function (MGF) of X to prove that the random variable Y = aX + b also has a uniform distribution. The parameters of the distribution of Y are (0,1).

The moment generating function (MGF) of a random variable X is defined as \(M_X(t) = E(e^(tX)),\) where E denotes the expectation operator.
For the uniform distribution on (0,1), the MGF of X can be calculated as \(M_X(t) = (e^t - 1)/t.\)
To prove that Y = aX + b has a uniform distribution, we need to show that the MGF of Y, denoted as M_Y(t), matches the MGF of a uniform distribution.
Using the properties of the MGF, we can express M_Y(t) as \(M_Y(t) = E(e^(tY)) = E(e^(t(aX + b))) = E(e^(taX) * e^(tb)).\)
Since X has a uniform distribution, the MGF of X is (e^t - 1)/t. Therefore, \(M_Y(t) = E((e^(taX) * e^(tb))) = e^(tb) * E(e^(taX)).\)
Comparing this expression with the MGF of a uniform distribution, we can see that M_Y(t) matches the MGF of a uniform distribution on (0,1).
Hence, Y = aX + b also follows a uniform distribution on (0,1). The parameters of the distribution of Y are (0,1).

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Given: 8 runners

To Determine: number of ways the runners would be rewarded

Solution

Using the multiplication principle

Hence, the number of ways they can be rewarded is god, silver and bronze is 336

they will reverse the damage Trump has done (vehicle-wise) by givivng a 10% vehicle efficiency boost in 2023

Answer:

1

Step-by-step explanation:

1+3 = 4  4*7 = 28

it's 1 because 28/7 = 4 and you add 3 to the number so 1 + 3 = 4 * 7 = 28 is correct.

Answer:

the first one

Step-by-step explanation:

have a great day

Answer:

After the first day, 1/3 of the original amount remained:

... (1/3)·45 = 15

After the second day, 2/3 of that amount remained:

... (2/3)·15 = 10

The bookstore has 10 copies left.

Step-by-step explanation:

Answer:

Step-by-step explanation:

45 copies and sold 2/3= 30 sold so 15 left

15 copies and sold 2/5= 6 sold so 9 left

Answer:

x=-5

Step-by-step explanation:

\(\frac{x}{x+3} =\frac{5}{2} \\5x+15=2x\\5x-2x=-15\\3x=-15\\x=-15/3=-5\)

Answer:

it's ether 1 or 2

cuz the slope is 1/3

Answer:

It is 2

Step-by-step explanation:

Which is y=1/3x + 10/3

To determine which expressions represent vectors, we need to understand the properties and characteristics of vectors. A vector is a mathematical object that has both magnitude and direction.

It can be represented geometrically as an arrow in space, where the length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector.

Based on this definition, we can identify the expressions that represent vectors:

1. → u: This expression represents a vector. The arrow symbol (→) indicates that it has both magnitude and direction.

2. → v: Similarly, this expression represents a vector. The arrow symbol (→) indicates that it has both magnitude and direction.

3. k → u: This expression also represents a vector. Multiplying a vector by a scalar (k) does not change its nature as a vector. It only scales the magnitude of the vector while keeping its direction intact.

4. → u + → v: This expression represents a vector. Adding two vectors together results in another vector with a magnitude and direction determined by the combination of the original vectors.

5. → u - → v: Similarly, this expression represents a vector. Subtracting one vector from another also results in a new vector with a magnitude and direction determined by the operation.

6. k(→ u + → v): This expression represents a vector. Here, we have both scalar multiplication (k) and vector addition (→ u + → v), which combine to produce another vector.

The expressions listed above all represent vectors because they possess both magnitude and direction, which are fundamental properties of vectors.

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Answer:

x = 45°

Step-by-step explanation:

summation of all the angles equals 360°

(x + 14) + (3x - 7) + (3x -7) + x = 360

8x +14 -7 -7 = 360

8x = 360

x = 45

P = 45+14 = 59

T = 3x45 -7 = 128

S = 128

R = 45

To find the perimeter of triangle formed by the tangents to the circles, find radii of circles and side lengths of triangle. The perimeter of triangle formed by the tangents to the circles is 12 times the radius of each circle.

Let's denote the radius of each circle as r. Since the circles are externally tangent to each other, the distance between their centers is equal to the sum of their radii, which is 2r.

When a triangle is formed by connecting the points of tangency on each circle, it creates three isosceles triangles. Each of these isosceles triangles has two congruent sides, which are the radii of the circles.By drawing the triangle, we can observe that the base of each isosceles triangle is equal to 2r, which corresponds to the diameter of one of the circles. The height of each isosceles triangle is equal to r, which is the radius of the circle.

Therefore, each side of the triangle formed by the tangents has a length of 4r.Since the triangle has three equal sides, its perimeter is given by 3 times the length of one side, which is 3 * 4r = 12r.The perimeter of the triangle formed by the tangents to the circles is 12 times the radius of each circle.

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