Helpppppoooooooopppppppp

Answer:

b. is the right answer of your question

Answer:

106.5=0.01065

26.6=0.00266

60.35=0.00266

53.25=0.005325

The solution is x4 is free. Setting x4 = 1, we get x1 = -1/2, x. To find the eigenvalues and eigenvectors of matrix A,.

We start by solving the characteristic equation:

det(A - λI) = 0

where I is the identity matrix and λ is the eigenvalue. This gives us:

|1-λ 4 1 2 |

| 0 2-λ 2 1 |

| 1 2 2-λ 1 |

| 2 1 1 2-λ| = 0

Expanding along the first row, we get:

(1-λ) [ (2-λ)(2-λ) - 1 ] - 4[ 2(2-λ) - 1 ] + 1[ 1(1-λ) - 2 ] - 2[ 2(1-λ) - 2 ] = 0

Simplifying and rearranging, we get:

λ^4 - 7λ^3 + 16λ^2 - 14λ = 0

Factoring out λ, we get:

λ(λ-2)(λ-4)(λ-1) = 0

Therefore, the eigenvalues of matrix A are λ1 = 0, λ2 = 1, λ3 = 2, and λ4 = 4.

Next, we find a basis for each eigenspace by solving the system of equations (A - λI)x = 0 for each eigenvalue.

For λ1 = 0, we have:

|1 4 1 2 | |x1| |0|

|0 2 2 1 | x |x2| = |0|

|1 2 2 1 | |x3| |0|

|2 1 1 2 | |x4| |0|

Reducing the augmented matrix to row-echelon form, we get:

|1 0 -1 0 | |x1| |0|

|0 1 1/2 0| x |x2| = |0|

|0 0 0 1 | |x3| |0|

|0 0 0 0 | |x4| |0|

The solution is x3 = 0 and x4 is free. Setting x4 = 1, we get x1 = x3 = 0 and x2 = -1/2. Therefore, a basis for the eigenspace corresponding to λ1 = 0 is {[-1/2, 0, 1, 0]^T}.

For λ2 = 1, we have:

|0 4 1 2 | |x1| |0|

|0 1 2 1 | x |x2| = |0|

|1 2 1 1 | |x3| |0|

|2 1 1 1 | |x4| |0|

Reducing the augmented matrix to row-echelon form, we get:

|1 0 0 1/2 | |x1| |0|

|0 1 0 -5/2| x |x2| = |0|

|0 0 1 -1/2| |x3| |0|

|0 0 0 0 | |x4| |0|

The solution is x4 is free. Setting x4 = 1, we get x1 = -1/2, x

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The sum of the given series is: \(∑(-1)^n * 4^n * x^(8n) / n!\)= coefficient of \(x^(8n)\) in \(e^(-4x^8)\)

The given series is:

\(∑(-1)^n * 4^n * x^(8n) / n!\)

To find the sum of this series, we can use the Maclaurin series expansion for the exponential function, which states:

\(e^x\) = ∑(n=0 to infinity)\((x^n / n!)\)

Comparing this with the given series, we see that it closely resembles the Maclaurin series for \(e^(-4x^8)\). Therefore, we can rewrite the series as:

\(∑(-1)^n * (4x^8)^n / n!\)

Using the formula for the Maclaurin series of \(e^(-4x^8)\), we can substitute \((-4x^8)\) for x in the series expansion of \(e^x\):

\(e^(-4x^8)\) = ∑(n=0 to infinity) \(((-4x^8)^n / n!)\)

Now, we can see that the series we need to find the sum for is the coefficient of \(x^(8n)\) in the series expansion of \(e^(-4x^8)\). Therefore, the sum of the given series is:

\(∑(-1)^n * 4^n * x^(8n) / n!\)= coefficient of \(x^(8n)\) in \(e^(-4x^8)\)

Therefore, to find the sum of the series, we need to determine the coefficient of\(x^(8n)\)in the series expansion of \(e^(-4x^8).\)

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Imagine that a survey of randomly selected people finds that people who used sunscreen were more likely to have been sunburned in the past year.

There are several possible explanations for the finding that people who used sunscreen were more likely to have been sunburned in the past year.

However, without additional context or data, it is difficult to determine the most likely explanation definitively. Here are a few possible explanations to consider:

1. Ineffective or improper use of sunscreen: It is possible that the individuals who reported using sunscreen did not apply it correctly or did not reapply it as recommended.

Inadequate application or failure to follow proper sunscreen usage guidelines could result in insufficient protection from the sun's harmful rays, leading to sunburn.

2. Self-selection bias: It is possible that individuals who have previously experienced sunburns may be more likely to use sunscreen. They may be more aware of the potential risks and take precautions, including using sunscreen.

This could create an association between sunscreen use and sunburn, even though sunscreen itself is intended to prevent sunburn.

3. Recall bias: The survey responses may be subject to recall bias, where individuals may inaccurately remember or report their sunscreen use and sunburn experiences.

Memory limitations or subjective perceptions of sunburn severity could influence the reported data and the observed association between sunscreen use and sunburn.

4. Confounding factors: There may be other factors or variables at play that are related to both sunscreen use and sunburn. For example, individuals who engage in activities that increase sun exposure or who have certain skin types may be more likely to both use sunscreen and experience sunburn.

It is important to note that further investigation, including more detailed surveys, data collection and statistical analysis, would be necessary to determine the most likely explanation for the observed association between sunscreen use and sunburn.

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Sampling error occurs when a sample of data selected from a population is used to make inferences about the population.

There are several ways to decrease the opportunity for sampling error, including the use of educated samples, larger sample sizes, and random sampling methods. It is important to note that the size of the sample also plays a crucial role in reducing the opportunity for sampling error, which is one of the main reasons why larger sample sizes are recommended.

The larger the sample size, the less likely it is that the sample will be unrepresentative of the population. Educated samples refer to the selection of participants based on certain criteria, such as their educational level or occupation. This can help to ensure that the sample is representative of the population in terms of specific characteristics. Affluent samples may also be used, but this approach may introduce bias into the sample selection process. Overall, smaller sample sizes are generally not recommended for reducing the opportunity for sampling error.

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Answer:

$129

Step-by-step explanation:

First, we'll figure out how much Racquel earns per week by multiplying how much she gets per hour by the number of hours she works per week. We can solve 4x10.75 to find out how much money Racquel earns per week. We can solve that to find out that she earns $43 per week. Then, we can multiply that by 3 to find out how much she earns in 3 weeks. Once we solve 43x3 we will end up with an answer of $129 over the course of 3 weeks.

(hope this helped)

Answer:

64π²

Step-by-step explanation:

Formula is πr². Just put 8 into r.

Can I have Brainliest?

Answer:

n= 16

Step-by-step explanation:

Answer:

Step-by-step explanation:

419 = 24n + 35

419 - 35 = 24n

384 = 24n

384/24 = n

16 = n

Therefore, n = 16

Answer:

In 25 minutes, the monthly phone charges of both companies will be the same.

Step-by-step explanation:

If we allow m to represent the number of minutes, we can create two equations for C, the total cost of phone charges from both companies:

Phoenix equation:  C = 0.5m + 30

Nuphone equation: C - 0.10m + 40

Now, we can set the two equations equal to each other.  Solving for m will show us how many minutes must Abby use for the total cost at both companies to be the same:

0.5m + 30 = 0.10m + 40

Step 1:  Subtract 30 from both sides:

(0.5m + 30 = 0.10m + 40) - 30

0.5m = 0.10m + 10

Step 2:  Subtract 0.10m from both sides:

(0.5m = 0.10m + 10) - 0.10m

0.4m = 10

Step 3:  Divide both sides by 0.4 to solve for m (the number of minutes it takes for the total cost of both companies to be the same)

(0.4m = 10) / 0.4

m = 25

Thus, Abby would need to use 25 minutes for the total cost at both companies to be the same.

Optional Step 4: Check the validity of the answer by plugging in 25 for m in both equations and seeing if we get the same answer:

Checking m = 25 with Phoenix equation:

C = 0.5(25) + 30

C = 12.5 + 30

C = 42.5

Checking m = 25 with Nuphone equation:

C = 0.10(25) + 40

C = 2.5 + 40

C = 42.5

Thus, m = 25 is the correct answer.

Answer:

6 sides, hexagon

Step-by-step explanation:

If you count the sides you see there are 6, and 6 sided figures are hexagons.

the gradients of each of the sides of the triangle are \(m_1=\frac{8}{5}, m_2=\frac{4}{-9} and m_3=-3\)

Given  vertices of triangle ABC are A(2,-3),B(7,5) and C(-2,9).

Let's find out the gradients of each side of the sides of the triangle using given points.

Formula for Gradient  using two points.

Gradient denoted by m.

Gradient can also called as slope.

First gradient using two points are A(2,-3) & B(7,5)

           \(m_1=\frac{y_2-y_1}{x_2-x_1}\)

           \(m_1=\frac{5-(-3)}{7-2}\)

           \(m_1=\frac{8}{5}\)

Second gradient using two points are B(7,5) & C(-2,,9)

            \(m_2=\frac{y_2-y_1}{x_2-x_1}\)

            \(m_2=\frac{9-5}{-2-7}\)

            \(m_2=\frac{4}{-9}\)

Third gradient using two points are   A(2,-3) & C(-2,9)

              \(m_3=\frac{y_2-y_1}{x_2-x_1}\)

              \(m_3=\frac{9-(-3)}{-2-2}\)

              \(m_3=\frac{12}{-4}\)

              \(m_3=-3\)

Therefore, the gradients of each of the sides of the triangle are \(m_1=\frac{8}{5}, m_2=\frac{4}{-9} and m_3=-3\)

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Answer:

9 it is

Step-by-step explanation:

The phase angle, in degrees is -135.

A wave that repeats as a function of time and position is referred to as a periodic wave. Amplitude, frequency, wavelength, speed, and energy describe the properties of the wave. The phase angle is used to describe the characteristics of a periodic wave.

In phasors, a wave exhibits twofold characteristics: Magnitude and Phase. The phase angle refers to the angular component of a periodic wave.

The Phase Angle is one of the crucial characteristics of a periodic wave. It is similar to the phrase in many properties. The angular component periodic wave is known as the Phase Angle. It is a complex quantity measured by angular units like radians or degrees. A representation of any pure periodic wave is as follows.

A∠θ, where A is the magnitude and θ represents the Phase Angle of the wave.

A is the magnitude

θ is the phase angle

The expression is, which can be reduced to. Since angles are not unique, they can differ by multiples of 360, the answer is -135 degrees, which is in the range of -180 to 180 degrees.

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Answer:

a): A line has a total degree of 180. So just subtract it. 180-92 is

y=88

b): Similar to the previous, a right angle has a total angle of 90. 90-45=45.

y=45.

These are all the ones I can figure out. I hope someone else can get c) and d).

Answer:

x = 34

Step-by-step explanation:

The three angles form a straight line and are thus supplementary angles.  The sum of a supplementary angles is always 180, so we can use the equation 180 = x + 12 + 100 + x to find x:

180 = 2x + 112

68 = 2x

x = 34

The equation y = -2x in the standard form is 2x + y = 0 and the graph of the function is shown below .

In the question ,

it is given that

the equation is y = -2x

The equation in standard form is represented as ax + by = c

to write the equation y = -2x in the standard form

taking all the terms to LHS , we get

2x + y = 0

hence y = -2x in standard form is 2x + y = 0 .

the graph is shown below .

Therefore , The equation y = -2x in the standard form is 2x + y = 0 and the graph of the function is shown below .

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We need to add 4 blue marbles to the bag to make the probability of drawing a blue marble 1/2.

Currently, there are two blue marbles out of a total of eight marbles in the bag, so the probability of drawing a blue marble is 2/8 or 1/4.

Let x be the number of blue marbles we need to add to the bag. After adding x blue marbles, there will be a total of 2 + x blue marbles in the bag, out of a total of 8 + x marbles.

We want the probability of drawing a blue marble to be 1/2, so we can set up the equation:

(2 + x) / (8 + x) = 1/2

Multiplying both sides by (8 + x), we get:

2 + x = (8 + x) / 2

Multiplying both sides by 2, we get:

4 + 2x = 8 + x

Subtracting x from both sides, we get:

4 + x = 8

Subtracting 4 from both sides, we get:

x = 4

Therefore, we need to add 4 blue marbles to the bag to make the probability of drawing a blue marble 1/2.

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EXPLANATION

The area of the figure can be obtained by applying the following relationship:

Where b=base and height=h

In order to find the height, we need to apply the trigonometric relationship:

Multiplying both sides by 6.4:

Solving the argument:

Switching sides:

Now that we have the height, we can compute the area as follows:

The answer is 53.24 squared inches.

Obtaining the average monthly cell phone bill for all high school students in the state of Florida would be an example of a population parameter estimation.

In statistics, population parameter estimation involves using a sample to estimate unknown characteristics of a population. The average monthly cell phone bill for all high school students in Florida is a population parameter because it represents a characteristic of the entire population of interest. However, it is often impractical or impossible to collect data from every individual in a population. Therefore, researchers rely on sampling techniques to select a representative subset of the population.

In this case, the researcher is interested in the average monthly cell phone bill for all high school students in Florida. To estimate this parameter, the researcher would need to collect data from a sample of high school students in the state. By calculating the average cell phone bill for the selected sample, the researcher can make an inference about the average bill for the entire population.

The process of obtaining an estimate of the population parameter is known as point estimation. In this scenario, the researcher would calculate the sample mean of the monthly cell phone bills and use it as an estimate of the population mean. This estimate provides valuable insights into the average cell phone bill for high school students in Florida, even though the researcher did not survey every student in the state.

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Answer:  List of prime numbers before 39: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37.

Step-by-step explanation:

Answer:

la numerencia es

Step-by-step explanation:

39 1 5 68

Answer:

\(y = \frac{3}{5}x-\frac{8}{5}\)

Step-by-step explanation:

3x - 5y - 8 = 0

         -5y = -3x + 8

Divide the whole equation by (-5)

\(\frac{-5y}{-5}=\frac{-3x}{5}+\frac{8}{-5}\\\\y = \frac{3}{5}x-\frac{8}{5}\)

Answer:

l = 3w+2

l = 23

Step-by-step explanation:

The area of a rectangle is

A = lw  where l is the length and w is the width

l = 3w+2

A = 161

161 = (3w+2) *w

Distribute

161 = 3w^2 +2w

Subtract 161 from each side

0=3w^2 +2w -161

Factor

0=(w-7)(3w+23)

Using the zero product property

w-7 =0   3w+23 =0

w=7  w = -23/3

Since the width cannot be negative

w=7

l = 3w+2

l = 3(7)+2

l = 21+2 = 23

Length = 3w + 2 = 23.

Step-by-step explanation:

Given :-

Find :-

Solution :-

We know that ,

Area of rectangle = Length × Width.

161 = (3w + 2) × w

161 = 3w² + 2w

0 = 3w² + 2w - 161

0 = 3w² + 23w - 21w - 161.

0 = w ( 3w + 23 ) -7 ( 3w + 23)

0 = (3w + 23 ) ( w - 7)

w - 7 = 0 , 3w + 23 = 0

w = 7 , w = -23/3

Since, width of rectangle can't be negative.

so, w = 7 is right value of width.

Calculate for Length.

length = 3w + 2 ( plug the value of width)

Hence, length = 23

Given that the screw is a regular hexagon with side length 6 mm, the area of the screw is 93.5 mm^2

The area of an hexagon can be found using the following equation;

\(A = \mathbf{ \frac{3 \cdot \sqrt{3} }{2} \times {a}^{2}} \)

Where a = The side length

However the side lengths are not equal, and the figure is a composite figure with two triangles and one rectangle;

Base length of the triangles = 12

Height of the triangles = 3

Area of each triangle = 0.5 × 12 × 3 = 18

Width of the rectangle = 12

Height of the rectangle = 6

Area of the rectangle = 12 × 6 = 72

Area of the screw = 18 + 18 + 72 = 108

However taking the screw as a regular hexagon, with side length a = 6, we have;

\(A = \frac{3 \cdot \sqrt{3} }{2} \times {6 \: mm}^{2} = 93.5 \: mm^2 \)

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Inverse distance weighting (IDW) spatial interpolation is a technique for estimating values at unknown places from nearby known values. The equation for IDW is: Z(x) = Σ [wi * Zi] / Σ wi. The power parameter (p) and the search radius (r) are among the IDW's parameters.

Spatial interpolation by inverse distance weighting (IDW) is a method used to estimate values at unknown locations based on nearby known values. It is commonly used in geostatistics and spatial analysis to fill in missing or unobserved data points in a continuous surface.

The equation for IDW is as follows:
Z(x) = Σ [wi * Zi] / Σ wi
In this equation,

Z(x) represents the estimated value at location x,

Zi represents the known value at location i, and

wi represents the weight assigned to each known value based on its distance from location x.

The parameters of IDW include the power parameter (p) and the search radius (r).

The power parameter determines the influence of each known value on the estimated value at the unknown location. A higher power value gives more weight to the closest points, while a lower power value spreads the influence of nearby points more evenly.

The search radius defines the distance within which neighboring points are considered for interpolation.

IDW has several properties that are important to consider:
1. Inverse relationship: IDW assumes an inverse relationship between distance and influence. Closer points have a greater influence on the estimated value than farther points.
2. Deterministic: IDW provides a deterministic estimate at each unknown location based on the known values within the search radius.
3. Smoothing effect: IDW tends to smooth out abrupt changes in the data. This can be an advantage when dealing with noisy or inconsistent data, but it can also result in the loss of detailed information.
4. Sensitivity to parameter selection: The choice of power parameter and search radius can significantly impact the results of IDW. It is important to select appropriate values based on the characteristics of the data and the desired outcome.

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The vertex of the graph of the function f(x) = (x - 6)(x - 2) is at the point (4, 8).

The vertex of the graph of the function f(x) = (x - 6)(x - 2) is the point where the graph reaches its minimum or maximum value. In this case, the function f(x) = (x - 6)(x - 2) is a "U-shaped" graph, which means that it has a maximum value at its vertex.

To find the vertex of this function, we can rewrite it in the form

f(x) = a(x - h)^2 + k

where (h, k) is the coordinates of the vertex. To do this, we can complete the square:

f(x) = (x - 6)(x - 2)

f(x) = x^2 - 8x + 12

f(x) = (x^2 - 8x) + 12

f(x) = (x^2 - 8x + 4) + 8

f(x) = (x - 4)^2 + 8

Thus, the vertex of the graph of the function f(x) = (x - 6)(x - 2) is at the point (4, 8).

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Answer:

3 years

Step-by-step explanation:

We would like to calculate in how much time Rs 1200 will become Rs 1632 at the rate of 12% per annum. Firstly we know that the SI can be calculated by ,

\(\longrightarrow \langle\pink{{\boldsymbol{ SI =\dfrac{Principal \times Rate \times Time }{100}}}}}\rangle\)

Also the total amount is calculated by adding SI and the initial amount ; as ,

\(\longrightarrow \pink{{\boldsymbol{ Amount= Principal + SI }}}\)

Firstly lets find SI as ,

\(\longrightarrow SI = Rs 1632-Rs1200\\ \)

\(\longrightarrow SI = Rs 432 \)

Using the first formula stated above, we have;

\(\longrightarrow Rs 432=\dfrac{(Rs 1200)(12)(t)}{100}\\ \)

\(\longrightarrow t =\dfrac{ 432\times 100}{1200\times 12} yrs \\\)

Simplify,

\(\longrightarrow \boldsymbol{\underline{\underline{{ time = 3\ years }}}} \)

And we are done!

Answer:

900

Step-by-step explanation:

1/3 + 2/5 = 11/15

4/15 = 240

4/15 x = 240

4x = 3600

x= 900

A sample has a mean of m = 86. if one new person is added to the sample, the sample mean will increase.

There are various mean types in mathematics, particularly in statistics. Each mean helps to summarize a certain set of data, frequently to help determine the overall significance of a specific data set.

Imply a quantity that falls somewhere between the values of the extreme members of a set in mathematics. There are different types of means, and how they are calculated relies on the relationship that is known about or is regarded as governing the other members.

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Answer:

2, 3, and 1

Step-by-step explanation:

coefficent is the constant multiplied by the variable

3c^2 coefficient is 3

h is 1 because h is the same as 1h

2c is 2