The scale factor of the blueprint of a wall to the actual wall is 0.07. The area of the actual wall is 36ft² what is the area of the wall on the blueprint?

A) 0.01764ft²

B) 0.07ft²

C) 0.1764ft²

D) 0.252ft²

Answer:

24.8°

Step-by-step explanation:

this problem involves a right triangle so you can use Sine, which is opposite over hypotenuse

sin Ф = 42/100

arcsin Ф = 24.8°

Ashley used 8/25 of the spool for her project.

To determine the fraction of the spool that Ashley used for her project, we need to multiply the fraction of the spool she had (4/5) by the fraction she used (2/5):

(4/5) * (2/5) = 8/25

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Answer:

crazy daisy is ai fake its gonna be a link

Step-by-step explanation:

For a function of the form:

Where:

A = Amplitude

b = Angular frequency

The period is given by:

Therefore:

Answer:

Springside weakens the correlation shown in the scatterplot.

Step-by-step explanation:

The planes defined by the equations do not intersect due to an inconsistent system, indicating that the planes do not intersect.

To determine if the planes intersect, we need to check if the system of equations formed by the planes has a consistent solution. Let's analyze the given planes:

\({Plane 1: } & 3x + 2y - z = -5 \\\text{Plane 2: } & 4x - 3y + z = 9 \\\text{Plane 3: } & x - 5y - 2z = 7\)

To check if the planes intersect, we can solve the system of equations using any suitable method, such as Gaussian elimination or matrix operations. Here, we'll use Gaussian elimination:

Write the augmented matrix for the system of equations:

\(\[ \begin{bmatrix} 3 & 2 & -1 & -5 \\ 4 & -3 & 1 & 9 \\ 1 & -5 & -2 & 7 \\ \end{bmatrix} \]\)

Apply row operations to obtain row-echelon form:

\(\[ \begin{bmatrix} 1 & -5 & -2 & 7 \\ 0 & 17 & -7 & -26 \\ 0 & 0 & -5 & -5 \\ \end{bmatrix} \]\)

From the row-echelon form, we can see that the third row is of the form 0=-5.

This implies an inconsistent system, indicating that the planes do not intersect.

Therefore, the planes defined by the equations do not intersect.

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Answer:

Step-by-step explanation:

5

15

45

Answer:

C.) $1,625

Step-by-step explanation:

Going by the numbers on the graph, you can immediately tell $1,350 and $1,475 are way too low, so cancel those out and you get $1,625 and $1,800

From here, you can see that in 5 years it hasn't gone up by far, so it won't be 1,800$ by 10 years end, making the answer clear

You can just double 280 and get 560, which the closest answer is 1,625

It's really just a high-low estimate question, 2 answers are too high or low, one is close but not really, and one is just right- or inbetween

$1,625

The amount $1625 is closest to the value of the investment 10 years after the initial investment option third is correct.

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent \(\rm y = a^x\)

where a is a constant and a>1

Let's suppose the exponential function that model the problem is:

 \(\rm y = ae^k^x\)

Plug x = 1 and y = 1050

\(\rm 1050 = ae^k\) ...(1)

Plug x = 2 and y = 1103

\(\rm 1103 = ae^2^k\)  ...(2)

Divide equation (2) with (1)

\(\rm e^k = 1.0504\)

Taking ln to get the value of k

k = 0.0491

a = 999.69

The exponential function:

\(\rm y = (999.6902)e^{0.0491}^x\)

Plug x = 10 years in the above function:

y = $1633.44

Which is close to $1625

Thus, the amount $1625 is closest to the value of the investment 10 years after the initial investment option third is correct.

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The missing coordinate of point P on the unit circle in the given quadrant is (5, -12). Point P has a positive x-coordinate and lies below the x-axis.

To find the missing coordinate of point P on the unit circle, we need to consider the given information. In the first case, the x-coordinate of P is positive, and the y-coordinate of P is -5. Since the point lies on the unit circle, we can use the Pythagorean theorem to find the missing coordinate. The Pythagorean theorem states that for any point (x, y) on the unit circle, x^2 + y^2 = 1. Plugging in the given values, we have x^2 + (-5)^2 = 1. Solving this equation, we get x^2 + 25 = 1, which leads to x^2 = -24. Since the x-coordinate must be positive, we discard the negative solution, giving us x = sqrt(24) = 2√6. Therefore, the missing coordinate of P is (2√6, -5).

In the second case, the x-coordinate of P is missing, but we know that P lies above the x-axis. Since the point lies on the unit circle, the y-coordinate can be found using the Pythagorean theorem. Since the x-coordinate is missing, we can represent it as x = sqrt(1 - y^2). Plugging in the given y-coordinate of -12, we have x = sqrt(1 - (-12)^2) = sqrt(1 - 144) = sqrt(-143). However, since the x-coordinate cannot be imaginary, we conclude that there is no point P with a positive x-coordinate lying above the x-axis for this case.

Therefore, based on the given information, the missing coordinate of point P on the unit circle is (5, -12), satisfying the conditions of a positive x-coordinate and lying below the x-axis.

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The component form of a vector refers to breaking the vector into components with unit vectors denoting the direction of each component. The general component form angled vectors in a two-dimensional space is given by:

\(\vec v=|v|cos\theta\hat{x}+|v|sin\theta\hat{y}\)

where |v| is the magnitude of the vector component and theta is the angle of the vector.

Using the magnitude and angle given for vector u we can write its component form :

\(\vec u=|u|cos\theta_u \hat{x}+|u|sin\theta_u \hat{y}\\\vec u=|5|cos(9)\hat{x}+|5|sin\(9) \hat{y}\\\vec v=5cos9_u\hat{x}+5sin9_u\hat{y}\)

Doing the same for v

\(\vec v=|v|cos\theta_u \hat{x}+|v|sin\theta_u \hat{y}\\\vec v=|1|cos5_u \hat{x}+|1|sin5_u \hat{y}\\\vec v=1cos5_u\hat{x}+sin5_u\hat{y}\)

Now adding both vector together

\(\vec u+\vec v=(5cos9_u\hat{x}+5sin9_u\hat{y})+(cos5_u\hat{x}+sin5_u\hat{x})\\\vec u+\vec v=(5cos9_u\hat{x}+cos5_u\hat{x})+(5sin9_u\hat{y}+sin5_u\hat{y})\)

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The multiplicity of a root r of the characteristic equation of A is called the algebraic multiplicity of r as an eigenvalue of A.

The above statement is True.

Eigenvalue:

An eigenvalue is a special set of scalar values ​​associated with the most probable system of linear equations in a matrix equation. Eigenvectors are also called eigenvalues. It is a non-zero vector which can be modified by at most its scalar factor after applying a linear transformation.

According to the Question:

If the geometric multiple of the eigenvalues ​​is greater than or equal to 2, the linearly independent set of eigenvectors is no longer unique to the multiple as before. For example, for the diagonal matrix A=[3003], one could also choose the eigenvectors [11] and [1−1], or any pair of two linearly independent vectors.

Sometimes vectors are simply expanded to vector times matrix. If this happens, this vector is called the eigenvector of the matrix and the "stretch factor" is called the eigenvalue. Example: Given a square matrix A, λ is the eigenvalue of A, and the corresponding eigenvector x is

Ax = λx.

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The population scenario of Dhaka City is characterized by rapid urbanization, high population density, and significant population growth.

1. The population scenario of Dhaka City is characterized by rapid urbanization, high population density, and significant population growth. These factors have led to numerous challenges, including increased traffic congestion, inadequate infrastructure, and strain on public services. The city's population is growing at a rapid pace, resulting in overcrowding, housing shortages, and environmental concerns.

2. To mitigate the present traffic jam situation in Dhaka City, a restructuring of the population can be pursued through various strategies. One approach is to promote decentralization by developing satellite towns or encouraging businesses and industries to establish themselves in other regions. This would help reduce the concentration of population and economic activities in the city center. Additionally, improving public transportation systems, including expanding the metro rail network, introducing dedicated bus lanes, and enhancing cycling and pedestrian infrastructure, can provide viable alternatives to private vehicles. Encouraging telecommuting and flexible work arrangements can also help reduce the number of daily commuters. Moreover, urban planning should focus on creating mixed-use neighborhoods with residential, commercial, and recreational spaces to minimize the need for long-distance travel.

By implementing these measures, the population of Dhaka City can be restructured in a way that reduces the strain on transportation systems, alleviates traffic congestion, and creates a more sustainable and livable urban environment.

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Complete Question:

Henry places x marbles into an empty bucket.  Each marble has the same weight. The weight, in ounces, of the bucket and marbles can be calculated using the expression shown: ​3x + 8

What does the term 8 represent in this expression?

Answer:

The weight of the bucket

Step-by-step explanation:

Given

\(Weight = 3x + 8\)

Required

What does 8 represent?

The given expression illustrates the weight of the whole system i.e. bucket and marbles

i.e.

\(Weight = Weight\ of\ x\ marble + Weight\ of\ Bucket\)

Since there are x marbles, by comparison:

\(Weight\ of\ x\ marble = 3x\)

\(Weight\ of\ bucket = 8\)

Hence, 8 represents the weight of the bucket

Answer:

undefined

Step-by-step explanation:

I don't know if it's correct or not. But hope it is

Answer:

-7

Step-by-step explanation:

The slope is y/x and y in this case equals -7 while x is +1 so it's -7/1 or just -7

Answer:

-4ctv² + 10xyz - 9

Step-by-step explanation:

(2 + 5xyz - 6tv²c) - (11 - 5yxz - 2ctv²)

2 + 5xyz - 6tv²c - 11 + 5yxz + 2ctv²

-4ctv² + 10xyz - 9

I hope this helps!

The result of the each of the following set is

A ∪ B = {1, 3, 5, 6, 7, 9}

A ∩ B = {3, 9}

A ∪ C = {1, 2, 3, 4, 5, 6, 7, 8, 9}

A ∩ C = {∅}

A - B = {1, 5, 7}

B - A = {6}

B U C = {2, 3, 5, 6, 8, 9 }

B ∩ C = {6}

The given values are

A = {1, 3, 5, 7, 9}

B = {3, 6, 9}

C = {2, 4, 6, 8}

Then find the each given terms in set roaster notation

Union of the set, intersection of the set  and the difference of the set are the basic operations of set

A ∪ B = {1, 3, 5, 6, 7, 9}

A ∩ B = {3, 9}

A ∪ C = {1, 2, 3, 4, 5, 6, 7, 8, 9}

A ∩ C = {∅}

A - B = {1, 5, 7}

B - A = {6}

B U C = {2, 3, 5, 6, 8, 9 }

B ∩ C = {6}

Therefore, all the given terms has been found

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In 2012, 8 percentage of high school seniors sampled had used lad sometime during their life.

LSD use among secondary school understudies is a specific concern. In excess of 8% of secondary school seniors in the United States utilized the medication something like once in the course of their life, and almost 4% involved the medication in the previous year, as per the University of Michigan's Monitoring the Future Survey. In spite of the fact that by the 1980s LSD use had extraordinarily declined, it made a resurgence during the 1990s, basically among teens. An overview led by Monitoring the Future Study discovered that 13.6 percent of 1997's secondary school seniors had tried different things with LSD no less than once contrasted with just 7.2 percent in 1986.

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Answer:

4:7

Step-by-step explanation:

Step-by-step explanation:

31/2×5/23 (use reciprocal)

31×5=155

155÷46=3.369565217

155/46

3 and 17/46

The probability that the sample mean age is between 19 and 22 years is approximately 0.8186 or 81.86% (rounded to four decimal places).

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

We know that the sample mean age of 9 students follows a normal distribution with a mean of 21 years and a standard deviation of 3/sqrt(9) = 1 year (since the standard error of the mean is the standard deviation divided by the square root of the sample size).

To find the probability that the sample mean age is between 19 and 22 years, we first need to standardize the values using the standard normal distribution. We can do this by subtracting the mean and dividing by the standard error:

z1 = (19 - 21) / 1 = -2

z2 = (22 - 21) / 1 = 1

Now we need to find the probability that the sample mean falls between -2 and 1 standard deviations from the mean of the standard normal distribution. We can look this up in a standard normal distribution table or use a calculator:

P(-2 < Z < 1) = 0.8186

Therefore, the probability that the sample mean age is between 19 and 22 years is approximately 0.8186 or 81.86% (rounded to four decimal places).

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Answer:

2

Step-by-step explanation:

Answer:

C.) 2.7 with the line over the 7

Answer:

840

Step-by-step explanation:

because he can drive 14 with one gallon of gas so 14x 60

i. Range (A): The space spanned by the columns of matrix A. It represents all possible linear combinations of the columns of A.

ii. Null (A): The set of all vectors x such that Ax = 0. It represents the solutions to the homogeneous equation Ax = 0.

iii. Row (A): The space spanned by the rows of matrix A. It represents all possible linear combinations of the rows of A.

iv. Null (A): The set of all vectors y such that ATy = 0. It represents the solutions to the homogeneous equation ATy = 0.

The equation Ax = b has a solution only when b is in the Range (A). It has a unique solution only when the Null (A) contains only the zero vector.

The equation ATy = d has a solution only when d is in the Row (A). It has a unique solution only when the Null (A) contains only the zero vector.

Assuming the size of A is m × n:

When Ax = b has a unique solution, the space Null (A) must be equal to Rn. This means there are no non-zero vectors that satisfy Ax = 0, ensuring a unique solution.

When ATy = d has a unique solution, the space Null (AT) must be equal to Rm. This means there are no non-zero vectors that satisfy ATy = 0, ensuring a unique solution.

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Answer:

if im positive its c im not to sure but I think its c  

Step-by-step explanation:

Answer:

(3x + 20)° + 70° = 180°

Step-by-step explanation:

Answer:

Torrance must purchase 5 packages of snack bags and 6 packages of juice boxes.

Step-by-step explanation:

Given that:

Snack bags come in packages of 12.

Juice bags come in packages of 10.

To find:

Fewest number of packages of each product so that there are same number of snack bags and juice boxes.

Solution:

Number of snack bags when 1 package is bought = 12

Number of snack bags when 2 package is bought = 24

Number of snack bags when 3 package is bought = 36

Number of snack bags when 4 package is bought = 48

Number of snack bags when 5 package is bought = 60

Number of snack bags when 6 package is bought = 72

Number of juice bags when 1 package is bought = 10

Number of juice bags when 2 package is bought = 20

Number of juice bags when 3 package is bought = 30

Number of juice bags when 4 package is bought = 40

Number of juice bags when 5 package is bought = 50

Number of juice bags when 6 package is bought = 60

Number of juice bags when 7 package is bought = 70

We can see that when 5 packages of snack bags are bought and 6 packages of juice bags are bought, 60 bags of each are bought.

This can be found by finding the LCM as well.

LCM of 10 and 12 is 60.

It means we need to buy 60 bags of each item.

And we can easily find the number of packages for each.

Number of packages of snack bags to be bought = \(\frac{60}{12} =5\)

Number of packages of juice bags to be bought = \(\frac{60}{10} = 6\)

Torrance must purchase 5 packages of snack bags and 6 packages of juice boxes.

Answer:

y=-1

Step-by-step explanation:

The expression represents the total number of points the player scored in the game:  2x+ 3x + 9

The correct option is A.

A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-dependent principles.

When something is expressed, the methods of expression change it in the process of communication. extracted from the Cambridge English Corpus. There were two conceivable orthographic expressions for this awareness.

Let x=number of 2-point attempts.

Free throws made equal 9 points.

A point is scored when x 2-point attempts are made.

After the break,

Number of 3-pointers divided by first-half 2-point attempts equals x

Point scored in x 3-point attempts equals 3 times.

Consequently, the player's overall point total during the contest is provided by : 2x+ 3x + 9

Consequently, the formula that denotes the total amount of points each player scored during the game is as follows: 2x+ 3x + 9

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I understand that the question you are looking for is:

In the first half of a basketball game, a player scored 9 points on free throws and then scored a number of 2-point shots. In the second half, the player scored the same number of 3-point shots as the number of 2-point shots scored in the first half. Which expression represents the total number of points the player scored in the game?

A. 2x + 3x + 9

B. 2x + 3 + 9

C. 2x + 3x + 9x

D. 2 + 3x + 9