Solve the system by elimination.
2x-5y=8
x-3y=-1

Answer:

i need points sorry ;(

Step-by-step explanation:

EXPLANATION :

The cost of a 12 nights camp accommodation is 6720.

We need to divide the cost by 12 to get the cost per day.

Now, we are asked to find the cost of 7 nights and 4 nights.

We just need to multiply the daily rate by the number of nights.

a. 7 nights :

7 x 560 = 3920

b. 4 nights :

4 x 560 = 2240

ANSWER :

a. 3920

b. 2240

On 5th of April he received his raise.

If Steve started his new job on March 1st, then five weeks later would be April 5th. To find the exact day on which he received his raise, we need to know the specific day of the week on which he started his job.

If March 1st was a Monday, for example, then April 5th would also be a Monday, since there are seven days in a week and 35 days (5 weeks) divided by 7 is 5 with no remainder. If he started his job on a different day of the week, then the day on which he received his raise would be different.

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The nurse researcher will be able to determine if there are significant differences in the mean amount of daily exercise between the groups and whether the intervention has had an impact on increasing exercise levels.

The statistical test that the nurse researcher should use in this scenario is Analysis of Variance (ANOVA). ANOVA is specifically designed to compare means and variances between multiple groups. It allows researchers to determine whether there are significant differences in the means of three or more groups based on the variability within and between the groups.

In this case, the nurse researcher wants to compare the mean group differences by examining the variability between groups and within groups. ANOVA assesses the between-group variability by comparing it to the within-group variability, providing insights into whether the intervention has a significant effect on increasing daily exercise in the three groups of adolescents.

By conducting ANOVA, the nurse researcher will be able to determine if there are significant differences in the mean amount of daily exercise between the groups and whether the intervention has had an impact on increasing exercise levels.

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Let's denote the amount invested at 8% as x and the amount invested at 10% as y.

According to the given information, Karim wants to invest a total of $100,000, and the combined annual income from both investments should be $9,000.

Set up the equations based on the information:

The first equation represents the total amount invested:

x + y = 100,000

The second equation represents the total annual income from the investments:

0.08x + 0.1y = 9,000

Solve the equations:

We can use the substitution or elimination method to solve the system of equations. Let's use the elimination method:

Multiply the first equation by 0.08 to match the coefficients of x:

0.08x + 0.08y = 8,000

Now subtract this equation from the second equation to eliminate x:

(0.08x + 0.1y) - (0.08x + 0.08y) = 9,000 - 8,000

0.02y = 1,000

Divide both sides of the equation by 0.02:

y = 1,000 / 0.02

y = 50,000

Substitute the value of y back into the first equation to solve for x:

x + 50,000 = 100,000

x = 100,000 - 50,000

x = 50,000

Calculate the amounts to invest:

Karim should invest $50,000 at 8% and $50,000 at 10% in order to obtain an annual income of $9,000 from both investments.

Karim should invest $50,000 at 8% and $50,000 at 10% in order to obtain an annual income of $9,000 from his investments.

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Answer:

figure it out urself until I get my answer to my question

Answer:

24 feet

Step-by-step explanation:

its just an educated guess but if you think about it 14 iches is more than 1 foot so the map would be pretty big

Dots in scatterplots that deviate conspicuously from the main dot cluster are viewed as potential outliers.

Outliers are observations that are significantly different from other observations in the dataset. They can occur due to measurement error, data entry errors, or simply due to the natural variability of the data. Outliers can have a significant impact on the results of statistical analyses, so it is important to identify and investigate them. In a scatterplot, outliers are often seen as individual data points that are located far away from the main cluster of data points. They may indicate a data point that is unusual or unexpected, or they may be the result of a data entry error. In any case, outliers should be examined closely to determine their cause and whether they should be included in the analysis or removed from the dataset.

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Answer:

see below

Step-by-step explanation:

See attachment for the graph.

We have the equation:

c(x)=10x+20

The slope is 10

The y-intercept is 20

Hope this helps! :)

The language paradigm that is based on the mathematical concept of a function is the functional programming paradigm.

In functional programming functions are treated as first-class citizens means that they can be passed as arguments to other functions returned as values from functions and assigned to variables.

This is similar to mathematical functions are used in algebra and calculus.

Functional programming emphasizes on the use of pure functions are functions that produce output only based on their input and do not have any side effects.

This helps in writing code that is easier to reason about and test.

Functional programming languages such as Haskell Lisp and OCaml are based on this paradigm and provide built-in support for functions as first-class citizens.

Object-oriented programming (OOP) is based on the concept of objects encapsulate data and behavior.

Imperative programming is based on a sequence of statements that change the state of the program declarative programming focuses on what the program should achieve rather than how to achieve it.

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a. Applications of elementary row operations: The elementary row operations can be applied to matrix operations such as solving systems of linear equations, finding inverses of matrices, and finding the determinant of a matrix.

The main answer is that elementary row operations are used to find the solutions of the system of linear equations, finding the inverse of a matrix, and finding the determinant of a matrix.

Elementary row operations are used in matrix algebra to transform a matrix to its reduced row echelon form, which is a form of matrix that is easier to work with. The row echelon form has a series of properties that make it useful for solving systems of linear equations, finding the inverse of a matrix, and finding the determinant of a matrix. Elementary row operations include swapping rows, multiplying a row by a scalar, and adding a multiple of one row to another. b. Definition of linear combination: A linear combination is a sum of scalar multiples of a set of vectors. The main answer is that a linear combination is a sum of scalar multiples of a set of vectors.

The linear combination is the combination of scalar multiples of a set of vectors. a. Difference between the rank of a matrix and the rank of a set of vectors: The rank of a matrix is the number of linearly independent rows in a matrix. The rank of a set of vectors is the maximum number of linearly independent vectors in the set. b. In order to use row reduction to find the inverse of a matrix, you first need to find the augmented matrix of the system of linear equations.

2x - 2y = 11 -3x + y + 2z = 2 x - 3y - z = -14 A = [2 -2 0 | 11; -3 1 2 | 2; 1 -3 -1 | -14] Next, use row reduction to transform the matrix into its reduced row echelon form. [1 0 0 | -5/4] [0 1 0 | -3/4] [0 0 1 | -3/4] The inverses of the minors are -5/4, -3/4, -3/4. Therefore, the main answer is: a) The main applications of elementary row operations are: (i) to solve systems of linear equations; (ii) to find the inverse of a matrix, and (iii) to find the determinant of a matrix

.b) A linear combination is the sum of scalar multiples of a set of vectors.a) The rank of a matrix is the number of linearly independent rows in a matrix, while the rank of a set of vectors is the maximum number of linearly independent vectors in the set.b) The inverses of the minors of the given system of linear equations by row reduction are -5/4, -3/4, -3/4.

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The correlation in error terms that arises when the error terms at successive points in time are related is termed autocorrelation

The correct answer is an option (a).

Correlation is the mutual connection between two or more variables. These variables can be dependent or independent but there should be random variables.

Autocorrelation is the degree of correlation between the values of the same variables across different data.

Instead of correlation between two different variables, the correlation is between two values of the same variable at times i and i + k.

It is used for the following two purposes:

- To detect non-randomness in data.

- To identify an appropriate time series model if the data are not random.

Therefore, The correlation in error terms that arises when the error terms at successive points in time are related is termed autocorrelation

The correct answer is an option (a).

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The area of the circular object mentioned in the question with a diameter of 7 cm is calculated to be approximately \(38.465\) square centimeters.

To find the exact area of a circular object, we can use the formula mentioned below:

\(\[ \text{{Area}} = \pi r^2 \]\)

It has been given that the diameter of the circular object is 7 cm. Using this information, we can calculate the radius as half of the diameter as follows:

\(\[ \text{{Radius}} = \frac{{\text{{Diameter}}}}{2} = \frac{7}{2} \text{{ cm}} = 3.5 \text{{ cm}} \]\)

As for the next step, substituting this value into the formula, we will get the following result:

\(\[ \text{{Area}} = 3.14 \times (3.5)^2 \]\)

Now we will simplify the expression as follows:

\(\[ \text{{Area}} = 3.14 \times 12.25 \]\)

Calculating the value, we find that the area comes out to be:

\(\[ \text{{Area}} \approx 38.465 \]\)

Therefore, it can be concluded that the area of the circular object is approximately 38.465 square centimeters.

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Answer:

(b) and (c)

Step-by-step explanation:

When the equation of a line is given in slope-intercept form (\(y=mx+b\)), m represents the slope of the line and b represents the y-intercept. As we can see, the two lines given have the same slope (-3), but different y-intercepts (the first line has a y-intercept of 4 and the second line has a y-intercept of -11).

Since the slopes of the two lines are the same, they will be parallel, and since their y-intercepts are different, they will not be the same line. Therefore, the two lines will not intersect (a solution to the system is any point where the two lines do intersect), and there is no solution to the system.

As a general rule:

Answer:

Step-by-step explanation:

7x - 21 + 12 - 3x = -8

4x - 9 = -8

4x = 1

x = 1/4

Answer:

x= 0.25, or x=1/4

Step-by-step explanation:

First, use the distributive property and multiply 7 within the parenthesis:

7x -21

Next, use the distributive property again, and multiply 3 within the parenthesis:

12 -3x

Combine Like terms: 7x - 21 + 12 - 3x

4x - 9

Add 9 to both sides: 4x - 9 = -8

-8 + 9 = 1

Divide 4 by both sides: 4x = 1

1 / 4 = .25 or 1/4

Answer:

25, 34, 43

Step-by-step explanation:

-11 + x = -2, -11 + 9 = -2                -2 + x = 7, -2 + 9 = 7,  7 + 9 = 16                             -2 - x = -11, -2 - 9 = -11                   7 - x = - 2,                                                               2 + x = 11,  11 - 2 = 9, 9 = x            7 - 7 = 0 - 2 = -2,   7 + 2 = 9,    7 - 9 = -2    

16 + 9 = 25,   25 + 9 = 34,   34 + 9 = 43              

J'espère que cela pourra aider : )                                                    

Answer:

7.5

Step-by-step explanation:

35+39/2

74/2

37

Q1=34+35/2

Q1=69/2

Q1=34.5

Q3=40+44/2

Q3=84/2

Q3=42

42-34.5

7.5

Answer:

joy

Step-by-step explanation:

Answer:

Irene

Wendy

Seulgi

Joy

Yeri

Step-by-step explanation:

Answer:

n = 24

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are in proportion, that is

\(\frac{VW}{ST}\) = \(\frac{UV}{RS}\) ( substitute values )

\(\frac{n}{18}\) = \(\frac{16}{12}\) ( cross- multiply )

12n = 288 ( divide both sides by 12 )

n = 24

Therefore, we can predict that the population of the town will be approximately 19,947 after 7 years, assuming a growth rate of 1% per year.

A population sample is a smaller selection of people or things chosen from the population as a whole. Sampling is frequently used in surveys and research to learn more about a group without studying every single person of it. To get accurate results, the sample should ideally be representative of the population. To reduce bias and get accurate data, it's essential to utilise the right sampling strategies. Some frequently used techniques are random sampling, stratified sampling, and cluster sampling.

To predict the population of the town after 7 years, we need to use the formula:

\(P = P₀(1 + r)ⁿ\)

Where:

P = population after 7 years

P₀ = initial population (17,700)

r = growth rate (1% or 0.01)

n = number of years (7)

Plugging in the values, we get:

\(P = 17,700(1 + 0.01)^7\)

P ≈ 19,947

Therefore, we can predict that the population of the town will be approximately 19,947 after 7 years, assuming a growth rate of 1% per year.

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Answer:

200 gallongs

Step-by-step explanation:

The y intercept of line A is -2 times the y intercept of line B.

The line's intersection with the y-axis on a graph is known as the y-intercept. In every case, the associated x-coordinate is 0. This is accomplished by calculating the difference between the y- and x-coordinates and then dividing this difference.

standard form of equation of line:

y = mx + c

m is the slope and c is the y intercept.

Equation of line A:

3x + 2y = -6

Convert equation in standard form

2y = -3x -6

y = -3/2 x - 3

On comparing; y intercept = -3

Equation of line B. point taken (-3, 0) and (0,6)

y - y1 = m(x - x1)

slope m = (6 - 0)/(0 + 3) = 2

y - 0 = 2(x +3)

y = 2x  + 6

y intercept of line B is 6.

Thus,  y intercept  of line A is -2 times the y intercept of line B.

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All of the criteria's are fulfilled the survey is valid.

We have the information from the question:

The proportion of college football players who have had at least one concussion is estimated to be 34% in the united states.

Then, 34% = 0.34

The sample size of the data is = 100

p: the ‘proportion’ of ‘college’

The required conditions for testing the hypothesis of population proportion are,

(i) The population is larger than the sample

(ii) np > 10

=> 100 × 0.34

      =34

(iii) n(1-p) > 10

100 × (1 - 0.34)

=> 100 × 0.66

      =66

iv)The ‘sample’ is drawn randomly from the population.

Since all of the above criteria's are fulfilled the survey is valid.

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For the range 0≤x≤1/2 and 1/2≤x≤1, we can apply these methods to find the solutions within the given precision of 10^-7.

To find solutions within 10^-7 for the given problems, we can use the three methods outlined in the section. Let's start with problem a.
For the equation x^2 - 4x + 4 - ln(x) = 0, we can use the bisection method, Newton's method, and the secant method.
For the range 1≤x≤2, we can apply these methods to find the solutions within the desired precision.
Similarly, for problem b, the equation x + 1 - 2sin(πx) = 0 can be solved using the bisection method, Newton's method, and the secant method.
For the range 0≤x≤1/2 and 1/2≤x≤1, we can apply these methods to find the solutions within the given precision of 10^-7.

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Step-by-step explanation:

A + 2 ÷ (-24) = -4

A - 1/12 = -4

A = -4 + 1/12

A = -48/12 + 1/12

A = -47/12

A ≈ -3,91

Therefore, the diameter of the sphere is approximately 20.2 feet when the volume is 6329 cubic feet.

The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere. To find the diameter, we need to find the radius first.

(4/3)πr³ = 632

r³ = (3/4)(6329/π)

r = ∛(3(6329/4π))

r ≈ 10.1 feet (rounded to one decimal place)

The diameter of the sphere is twice the radius, so:

d = 2r

≈ 20.2 feet (rounded to one decimal place)

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In order to determine the farthest integer related to the origin ona a number line, apply the absolute value of the given numbers, this gives you the distance of the specific number to the origin.

The absolute value of a number, negative or positive, is always equal to the same positive number.

Then,for the given asnwer choices you have:

|-11| = 11 where the bars |-11| expresses absolute

Answer:

x = 3

Step-by-step explanation:

7- 3x = 2x - 8

7 = 5x - 8                   Add 3x on both sides

15 = 5x                       Add 8 on both sides

3 = x                            Divide both sides by 5