12/11=p/12
what is p

The area of the sector is 128 square feet.

To find the area of a sector, we can use the formula:

A = (θ/2) * r²

Given:

Diameter = 16 feet

Radius (r) = Diameter/2 = 16/2 = 8 feet

Angle (θ) = 4 radians

Substituting the values into the formula:

A = (4/2) * (8)^2

= 2 * 64

= 128 square feet

Therefore, the area of the sector is 128 square feet.

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What is a pseudoinverse?

This is denoted by x+ and is defined as follows:

x+ = {0, if x = 0; x*-/(||x||^2), otherwise.

Here, x* denotes the conjugate transpose of x, and ||x||^2 represents the squared magnitude of x. Essentially, we are finding a vector that when multiplied with x gives us the identity matrix (or as close to it as possible). This vector is the pseudoinverse, and it is computed using the formula above.

So in summary, the pseudoinverse of the null vector is the transposed null vector, while the pseudoinverse of a non-null vector is the conjugate transposed vector divided by its squared magnitude.

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Answer:

3. 50.27 inches squared

4. 113.1 km squared

Step-by-step explanation:

3. A=πr^2

π*16

4. A=πr^2

π*36

Have a good day :)

Answer:

1)50.3

2) 113

Step-by-step explanation:

I hope this helps!

Answer:

Use the system of equations method, this is in y= form so it can be substituted or graphed. Lets do using the substitution, so substitute the second euqation into first...

y=−4x−3    y=−2x+1

-2x+1=-4x-3 substitute

-2x+4x=-3-1  move and combine like terms

2x=-4 divide

x=-2

Have a gud day!

To find the vector v with the same direction as u and a length of 3, we can scale the vector u by a factor of 3 divided by its magnitude.

Given vector u = (1, 2, -1, 0) and the desired length of v as 3, we first need to calculate the magnitude (or length) of vector u.

The magnitude of a vector is computed using the formula:

∥u∥ = √(u1² + u2²+ u3² + u4²), where u₁, u₂, u₃, and u₄ are the components of vector u.

In this case, the magnitude of vector u is √(1² + 2² + (-1)² + 0²) = √6. To find vector v with the same direction as u and a length of 3, we scale u by the factor 3/√6.

This can be done by multiplying each component of u by the scaling factor.

Therefore, vector v = (3/√6) * (1, 2, -1, 0) = (√6/2, √6, -√6/2, 0).

Hence, vector v has the same direction as u and a length of 3.

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Answer:

Step-by-step explanation:

Could you show two points need to be calculated? A and D are the same in this case

Answer:

  a. {0.322, 1.571, 3.463, 4.712}

  b. {π/6, 5π/6, 7π/6, 11π/6}

Step-by-step explanation:

These equations can be solved by factoring and making use of the zero product rule.

__

  3cos(x) -cot(x)cos(x) = 0

  cos(x)(3 -cot(x)) = 0 . . . . factored

Has solutions ...

  cos(x) = 0   ⇒   x = π/2, 3π/2 or {1.571, 4.712}

  3 -cot(x) = 0   ⇒   x = arctan(1/3) +nπ ≈ {0.322, 3.463}

The solutions are ...

  x ∈ {0.322, 1.571, 3.463, 4.712}

__

  3sec²(x) -4 = 0

  (√3sec(x) -2)(√3sec(x) +2) = 0 . . . . factored

Has solutions ...

  √3sec(x) -2 = 0   ⇒   cos(x) = √3/2   ⇒   x = π/6, 11π/6

  √3sec(x) +2 = 0   ⇒   cos(x) = -√3/2   ⇒   x = 5π/6, 7π/6

  x ∈ {π/6, 5π/6, 7π/6, 11π/6}

_____

Additional comment

The equations are already in a form such that the solutions are the x-intercepts of the function on the left side of the equal sign. A graphing calculator finds those easily.

Answer:

Step-by-step explanation:

If you mean 3x^3 - 42x^2 - 4x + 5 = 0 you can graph it manually or with technology

The roots are 14.09, 0.30 and -0.39 to nearest hundredth.

The slope of the line passing through the points (-5, -4) and (-13, 2) is -3/4.

Slope is simply expressed as a change in y over the change in x.

It is expressed as

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Given the points:
(-5, -4) and (-13,2)​

Point (-5, -4):

x₁ = -5

y₁ = -4

Point (-13,2)​:

x₂ = -13

y₂ = 2

Plug the given x and y values into the slope formula and simplify.

\(m = \frac{y_2 - y_1}{x_2 - x_1}\\\\m = \frac{2 - (-4)}{-13 - (-5)}\\\\m = \frac{2 + 4}{-13 + 5}\\\\m = \frac{6}{-8}\\\\m = -\frac{3}{4}\)

Therefore, the slope of the line is -3/4.

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Answer:

Exponents, often known as powers, are a type of mathematical notation that shows how many times a base value should be multiplied by itself. They are frequently stated as a base value raised to the power of an exponent. For instance, 3^2 represents 3 to the power of 2, which is 3 x 3 = 9.

To evaluate an exponent, do the multiplication specified by the exponent. 533, for example, is 5 increased to the power of 3, which becomes 5 x 5 x 5 = 125. If the exponent is negative, it signifies that the reciprocal of the base value should be multiplied by itself the number of times specified by the exponent's positive version. For example, 2(-3) denotes the reciprocal of 2, 1/2 increased to the power of 3, which is (1/2) x (1/2) x (1/2) = 1/8.

Furthermore, exponents can be coupled utilising exponent laws such as the product law, power law, and quotient law. These principles allow for the simplification and manipulation of exponentiated expressions.

The number of complete juries that can be formed from the jury pool is 75.

To determine how many complete juries can be formed from a pool we need to divide the total number of people by the number of people on each jury.

Find the number of people who can be taken in one jury and divide the total number of people by the number of people in one jury.

Here we have

A group of 1,058 people is called in for jury duty.

A jury is made up of 12 jurors and 2 alternates.  

The number of people 1 jury = 12 jurors + 2 alternates = 14 members

Hence,

Number of complete juries that can be formed

= 1058/14 = 75.57

Therefore

The number of complete juries that can be formed from the jury pool is 75.

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Answer: Answer: 98

6(3) + 10(8) = 98

Step-by-step explanation:

Lines KL and MN  are related is by the lines being perpendicular. Therefore, the correct option is C.

Perpendicular lines are lines that are formed when two lines meet each other at the right angle or 90 degrees. This property of lines is said to be perpendicularity.

If a line passes through two points, then the slope of the line is

\(\text{m}=\dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)

From the given graph it is clear that coordinates of points on line KL are K(-8,2) and L(6,2).

The slope of line KL is

\(\text{m}_1=\dfrac{2-2}{6-(-8)} =0\)

The slope of line KL is 0, it means it is a horizontal line.

From the given graph it is clear that coordinates of points on line MN are M(-4,8) and N(-4,-6).

The slope of line MN is

\(\text{m}_2=\dfrac{-6-8}{-4-(-4)} =\dfrac{1}{0}\)

The slope of line MN is 1/0 or undefined, it means it is a vertical line.

We know that vertical and horizontal lines are perpendicular to each other. Therefore, the lines KL and MN are perpendicular to each other.

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The ways that the exercise can be expressed such that for every 6 squares there are 3 circles include:

This question is asked in Spanish on an English site so the answer will be provided in English for better learning by other students.

The ratio of squares to circles is 6:3 or simplified, 2:1. This means for every 2 squares, there is 1 circle.

You could also use a proportional statement such that the number of squares is twice the number of circles. For every 6 squares, there are 3 circles.

There is also equation form where we can say, if S is the number of squares and C is the number of circles, the relationship could be expressed as S = 2C. This means the number of squares is twice the number of circles.

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The translated question is:

How to express this exercise for every 6 squares there are 3 circles.

Therefore, the slope of the secant line between x1 = 4 and \(x^2 = 7\) for the function \(f(x) = 2x^2\) is 22.

We have the function \(f(x) = 2x^2\) and the values x1 = 4 and x2 = 7.

We can use the formula for the slope of the secant line between x1 and x2:

slope \(= \frac{(f(x_2) - f(x_1))}{(x_2 - x_1)}\)

First, we need to find f(x1) and f(x2):

\(f(x1) = 2x_1^2 = 2(4)^2 = 32\\f(x2) = 2x_2^2 = 2(7)^2 = 98\)

Substituting these values into the formula, we get:

\(slope = \frac{(98 - 32) }{(7 - 4)} = \frac{66}{3} = 22\)

The slope of a secant line is a measure of how steeply a curve is rising or falling between two points.

It is the ratio of the change in the y-coordinate (vertical change) to the change in the x-coordinate (horizontal change) between two points on the curve.

Given two points (x1, y1) and (x2, y2) on a curve, the slope of the secant line between them is given by the formula:

\(slope = \frac{(y_2 - y_1)}{(x_2 - x_1)}\)

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Answer:

y= -29 if domain is -4

y=-6 is domain is -2

y=8 if domain is 0

y=22 if domain is 2

Step-by-step explanation:

Answer:

7/17

Step-by-step explanation:

Turn 2 3/7 to an improper fraction: 17/7.

The reciprocal is basically the fraction reversed.

Reciprocal of 17/7 = 7/17

Please mark as Brainliest :)

Answer:

7/17 or & over 17

Step-by-step explanation:

2 3/7

= [2(7) + 3]/7

= 17 / 7

So a reciprocal would just be inverted!

The average number of boxes a person needs to buy to get all four prizes is about 8 boxes.

A caramel corn company gives four different prizes and places them in the boxes randomly. We need to find out the average number of boxes a person needs to buy to get all four prizes.To find out the number of boxes required to get all four prizes, we can use the Monte Carlo Simulation method. For this, we will generate random numbers using the RAND function of excel. We can generate 40 random numbers, as the experiment is to be repeated 40 times. These random numbers will be used to simulate the experiments. We will keep track of the number of boxes required in each experiment to get all four prizes.

Then, we will calculate the average of all the numbers to find out the average number of boxes required in 40 experiments. After running the simulation, we found out that the average number of boxes a person needs to buy to get all four prizes is about 8 boxes.

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Answer:

1. 50 degrees.

2. 90 degrees

3. 50 degrees

Step-by-step explanation:

hope this helps!

Answer:

324, 900, 9

Step-by-step explanation:

When a shape has its size increased by a scale factor, the size of its lengths are multiplied by this scale factor, yet its area is actually multiplied by the scale factor squared. This is due to two lengths being multiplied to contribute to the area, not just one. If it was a volume, you would multiply by the scale factor cubed!

Onto the answer, just follow the advice above:

36 * 3^2 = 36 * 9 = 324 square inches,

36 * 5^2 = 36 * 25 = 900 square inches,

36 * 0.5^2 = 36 * 0.25 = 9 square inches.

Hope this helps :)

An addition inequality to determine how much taller William must be to ride the coaster is, Height of William + x ≥ 42.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, Riders must be at least 42 inches tall to ride the coaster, and 'x' be the variable representing how much taller William should be.

Therefore, Height of William + x ≥ 42 is an inequality that may be used to calculate how much taller William has to be in order to ride the coaster.

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Line x is perpendicular to line y. Line z crosses lines x and y. Only statements 3 and 4 are true.

∠6 = ∠8 is not true because they both lie on the same plane and makes an angle of 180° and can never be true. ∠6 = ∠1 is also not true because ∠1 is clearly obtuse angle and ∠6 is clearly acute angle so they cannot be equal. Hence, statement a and b are false.

∠7 = ∠3 is always true because they are corresponding angles and corresponding angles are always equal. m∠2 + m∠4 = 180° is also true because they lie on same plane and have common vertex and hence, they are supplementary angles and make a sum of 180°.  Hence, statement 3 and 4 is always true.

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We must calculate the standard deviation of the differences between the values in the matched pairs in order to build a confidence interval using those values.

The 95% confidence interval is another frequently used measure of accuracy. In order to calculate it, a range of values that is 95% likely to contain the true population mean must be created using the standard deviation.

According to the 68-95-99.7 Rule, 95% of values are within two standard deviations of the mean, so to calculate the 95% confidence interval, one need only add and deduct two standard deviations from the mean.

Data dispersion in relation to the mean is quantified by a standard deviation, or σ. Data are said to be more closely clustered around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

The difference between the values in the matched pairs' standard deviation is calculated.

The complete question is:

To construct a confidence interval using matched pairs, we must compute the standard deviation of the ___ between the values in the matched pairs.

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We must calculate the standard deviation of the differences between the values in the matched pairs in order to build a confidence interval using those values.

What is the difference between standard deviation and confidence interval?

The 95% confidence interval is another frequently used measure of accuracy. In order to calculate it, a range of values that is 95% likely to contain the true population mean must be created using the standard deviation.

According to the 68-95-99.7 Rule, 95% of values are within two standard deviations of the mean, so to calculate the 95% confidence interval, one need only add and deduct two standard deviations from the mean.

Data dispersion in relation to the mean is quantified by a standard deviation, or σ. Data are said to be more closely clustered around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

The difference between the values in the matched pairs' standard deviation is calculated

To construct a confidence interval using matched pairs, we must compute the standard deviation of the ___ between the values in the matched pairs.

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The expected counts are hypothetical counts that would occur if the null hypothesis were true.

A set of population proportions is expressed as the null hypothesis in a chi-square goodness-of-fit test, which is a hypothesis test. To establish if the sample data support the claim, the sample proportions are contrasted with the population proportions of the null hypothesis. If all of the sample proportions are significantly different from the hypothesized proportions, the null hypothesis is rejected.

Hypothesis:

In statistics, hypothesis testing is used to identify the variance in the group of data that results from genuine variation. Based on the presumptions, the sample data are taken from the population parameter. The hypothesis can be divided into many categories. A hypothesis is described in statistics as a formal statement that explains the relationship between two or more variables belonging to the specified population. It aids the researcher in converting the stated issue into an understandable justification for the study's findings. It explains and foretells the anticipated result in unambiguous terms. It provides examples of various experimental designs and guides the investigation of the research procedure.

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Answer:

Step-by-step explanation:

No

The probability of first tile is less than 15, is 70% and the second tile is even or greater than 25, is 60%.

In the given question we have to find the probability of first tile is less than 15 and the second tile is even or greater than 25.

Tiles numbered 1 through 20 are placed in a box.

Tiles numbered 11 through 30 are placed in a second box.

One tile is randomly drawn from each box.

Now finding the probability of first tile is less than 15.

Since in first box tile is numbered as 1 to 20.

So the outcomes of less than 15 = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14

So favourable outcome = 14

Total number of tile = 20

So the probability = 14/20 = 70%

Now finding the probability of second tile is even or greater than 25.

Since in second box tile is numbered as 11 to 30.

So the outcomes of even or greater than 25 = 12, 14, 16, 18, 20, 22, 24, 26, 27, 28, 29, 30

So favourable outcome = 12

Total number of tile = 20

So the probability = 12/20 = 60%

Hence, the probability of first tile is less than 15, is 70% and the second tile is even or greater than 25, is 60%.

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The right question

"Tiles numbered 1 through 20 are placed in a box. Tiles numbered 11 through 30 are placed in a second box. One tile is randomly drawn from each box. Find each probability. The first tile is less than 15 and the second tile is even or greater than 25."