What is the equation of the line in slope intercept form?

Answer:

Step-by-step explanation:

-6x+5=1

-5  -5

_____

-6x=-4

÷-6  ÷-6

_________-

x=4/6

Hope this helps :3

Answer:

i.) 2/3

Step-by-step explanation:

-6x+5=1

move constant to the right and change its sign.

= -6x = 1-5

calculate

= -6x = -4

divide both sides of the equation by -6

= -6x/6 = -4/-6

=2/3.

I was able to do only the first one.

But still reward me by giving me the brainliest please.

You can use scatter plots to present bivariate data. The data can be used to create coordinate pairs.

The relationship between the two variables in a bivariate data set is graphically represented by a scatter plot. Consider them to be the graphic depiction of two data sets that have been combined by allocating each axis in the plot to a distinct variable.

Due to the presence of two variables, this type of data is known as bivariate data. Only 1 variable may be displayed on a line plot. You can use scatter plots to present bivariate data. The data can be used to create coordinate pairs.

The standard deviation of each variable and the covariance between them must first be determined in order to calculate the Pearson correlation. Covariance is subtracted from the product of the standard deviations of the two variables to get the correlation coefficient.

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The classifications are done as follows

6. < 2 : acute angle

7. < ABC : angle on a straight line

8. < 2 = 41 degrees

9. x = 45

In the figure, BE bisects < DBC hence < 2 = < 3 = y

98 + < 2 + < 3 = 180

y + y = 180 - 98

2y = 82

y = 41

In the figure, < WXY = 88 where the adjacent angles are

< WXZ = 4x - 3 and < ZXY = 2x + 1

4x - 3 + 2x + 1 = 88

4x + 2x = 88 + 3 - 1

2x = 90

x = 45

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Answer:

the second

Step-by-step explanation:

refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice

Answer:

----------------------

Find the amount of work in man*days and then divide the result by 20:

Hence the same work will be completed by 225 men.

Answer:

where is the figure? upload the fig too

Answer:

15

Step-by-step explanation:

9*9+12*12=225

12*12=144

15*15=225

108*108=11664

144*144=20736

You know that it's a bot when it says "explanation in file".

They forgot to put a question, there's nothing to answer...

Answer:

Step-by-step explanation:

A graphing calculator can be helpful for questions of this nature. The attached shows the center is (-9, -7) and the radius is 5.

_____

You can separate the x- and y- terms and complete the square for each.

  (x^2 +18x) +(y^2 +14y) = -105

Do that by adding the square of half the linear term.

  (x^2 +18x +9^2) +(y^2 +14x +7^2) = -105 +81 +49

  (x +9)^2 +(y +7)^2 = 25

Compared to the standard form equation ...

  (x -h)^2 +(y -k)^2 = r^2 . . . . . . . center (h, k), radius r

We see that the given circle has a center of (-9, -7) and a radius of 5.

Answer:

1/2 x 1/10^-9

Step-by-step explanation:

(1.5x10^-5)/(3.0x10^4)

=> 1.5/3 x 10^-5/10^4

=> 1/2 x 10^-9

Answer:

= 5

Step-by-step explanation:

(1.5*10⁵) / (3.0*10⁴)

1.5*10⁵ = 15*10⁴

Then:

(1.5*10⁵) / (3.0*10⁴) = (15*10⁴) / (3*10⁴) = 15/3

= 5

Answer:

Roll a six-sided die five times. The  numbers 1 to 4 represent a make,

and numbers 5 and 6 represent a  miss. (Correct)

Spin a spinner with three equal  sections five times. On the spinner,

one section represents a miss and  two sections represent a make. (Incorrect)

Generate a set of five numbers using  a number generator with the numbers

0 to 9.The numbers 0 to 7 represent a  make, and 8 and 9 represent a miss. (Correct)

Generate a set of five numbers using  a number generator with the numbers

0 to 5.The numbers 0 to 3 represent a  make, and 4 and 5 represent a miss. (Incorrect)

Spin a spinner with five equal sections  five times. On the spinner, four sections  represent a make and one section  represents a miss. (Correct)

Step-by-step explanation:

Answer:

D- 5hrs

Step-by-step explanation:

If the family can hike 3 miles per hour,
for 15 miles: 15/3 = 5 hours.

Every hour they cover 3 miles per hour, so to cover 15 miles, they will take 5 hours

Answer:

D. 5 hours

Step-by-step explanation:

3 miles per 1 hour so 3/1

15 miles per x hours so 15/x

3/1 = 15/x or 3 = 15/x

get x by itself so

3 divided by 3 and 15 divided by 3

x = 5 hours

All of the methods mentioned, i.e., bar chart, pie chart, and relative frequency table are valid ways to summarize or visualize categorical variables. Option D.

They are commonly used in data analysis to gain insights into the distribution and proportion of different categories within a dataset.

A bar chart is a graphical representation of data that uses rectangular bars to display the frequency or proportion of different categories. It is useful in comparing the frequencies of different categories and identifying the most common or rare categories.

A pie chart is another graphical representation of data that uses slices of a circle to display the relative frequency or proportion of different categories. It is useful in showing the proportion of each category in relation to the whole.

A relative frequency table is a tabular representation of data that displays the frequency and proportion of each category. It is useful in comparing the frequencies and proportions of different categories and identifying the most common or rare categories.

Therefore, none of the options given would be an invalid way to summarize or visualize categorical variables. The choice of which method to use depends on the nature of the data and the purpose of the analysis.

It is important to choose a method that effectively communicates the information being presented and is appropriate for the audience. So Option D is correct.

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Note the correct question is

Which of the following would NOT be a valid way to summarize or visualize a categorical variable? Choose the correct answer below

A.)Bar chart

B.)Pie chart

C.)Relative frequency table

D.)None of the above

Answer:

x=5

Step-by-step explanation:

In this equation, we need to find x. According to the Vertical Angles Congruence Theorem, all vertical angles are congruent. Therefore, because angles (2x+12) and (8x-18) are vertical angles, they are congruent. We can set this up as an equation and simply solve for x:

2x+12=8x-18   Subtract 2x from both sides.

-2x      -2x

12=6x-18         Add 18 to both sides.

+18    +18

30=6x             Divide both sides by 6.

/6   /6

5=x

I hope this helps!! Have an amazing day :)

Answer:

x = 5

Step-by-step explanation:

The two angles have the same degree because of the Vertical Angles rule. This means that if angles are vertical, then they are congruent. Therefore, we can solve for x by setting the two angles equal to each other.

2x + 12 = 8x - 18

    + 18         + 18

2x + 30 = 8x

-2x          -2x

30 = 6x

÷6    ÷6

5 = x

We can then double check this by inputing x back into the equations

2x + 12 = 2(5) + 12 = 10 + 12= 22

8x - 18 = 8(5) - 18 = 40 - 18 = 22

These check out so x = 5

I hope this helped :)

Answer:

I hope I got it correct

Step-by-step explanation:

The augmented matrix [a b] is constructed in MATLAB, and row reduction is performed using the rref() function. The reduced matrix is obtained, and the free and basic variables of the system are identified.

To construct the augmented matrix [a b] in MATLAB, we can define a matrix with two columns containing the values of variables a and b. For example, if we have a = 2 and b = 3, the augmented matrix can be constructed as follows:

```

A = [2 3];

```

Next, we can use the rref() function in MATLAB to perform row reduction on the augmented matrix. The rref() function returns the reduced row echelon form of the matrix. We can store the result in a new matrix, let's say R:

```

R = rref(A);

```

The reduced matrix R will contain the coefficients of the variables and the constants of the system. By analyzing the reduced matrix, we can determine the basic and free variables. Basic variables are those corresponding to the leading entries (pivots) in each row of the reduced matrix. Free variables, on the other hand, are associated with the columns that do not contain a pivot.

The reduced matrix R will have a row of zeros for any free variables. By observing which columns have pivots and which do not, we can identify the basic and free variables. The basic variables correspond to the columns with pivots, while the free variables are associated with the columns without pivots.

In summary, by constructing the augmented matrix [a b] and performing row reduction using the rref() function in MATLAB, we obtain a reduced matrix R. By analyzing the structure of R, we can identify the basic and free variables of the system.

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The smallest positive angle between vectors a and b is approximately 26.6°.The smallest positive angle between the given vectors to the nearest tenth of a degree is approximately 26.6°.

To find the smallest positive angle between the given vectors, we can use the dot product formula. Let's denote the given vectors by a and b respectively. a = <-2, -8> and b = <-1, 1>

Step 1: Calculate the magnitude of vector a and b. |a| = sqrt((-2)^2 + (-8)^2) = 2sqrt(5) and |b| = sqrt((-1)^2 + 1^2) = sqrt(2)

Step 2: Calculate the dot product of vectors a and b. a · b = (-2)(-1) + (-8)(1) = 10

Step 3: Calculate the angle between vectors a and b using the dot product formula. cos θ = (a · b)/(|a||b|) = 10/[2sqrt(5)· sqrt(2)] = sqrt(5)/2θ = cos^(-1) (sqrt(5)/2) ≈ 26.6° .

Therefore, the smallest positive angle between vectors a and b is approximately 26.6°. The smallest positive angle between the given vectors to the nearest tenth of a degree is approximately 26.6°.

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Answer:

Step-by-step explanation:

shop a=115p

shop b=106p

shop b better value as its cheaper

The given reaction is CH₄(g) + H₂O(g) → CO(g) + 3H₂(g) . The heat requirement for the reactor is 3719.37 kJ.

In this problem, we have to calculate the heat requirement for the reactor. The given reaction is CH₄(g) + H₂O(g) → CO(g) + 3H₂(g)  and the water-gas-shift reaction is CO(g) + H₂O(g) → CO₂(g) + H₂(g).

The ratio of reactants is 2:1 (2 mol steam to 1 mol CH₄) and heat is added to the reactor to bring the products to a temperature of 1300 K.

The CH₄ is completely converted, and the product stream contains 17.4 mol-% CO.

First, we need to calculate the number of moles of steam and CH₄ in the reactants. Let's consider 1 mol of CH₄, then 2 mol of steam will be supplied.
The number of moles of reactants = 1 + 2 = 3 mol

As per the chemical equation, 1 mol of CH₄ gives 1 mol of CO. So, 1 mol of CH₄ gives 17.4/100 mol of CO in the product stream.

The number of moles of CO = 17.4/100 × 1 = 0.174 mol
Now, consider the water-gas-shift reaction.

As per the equation, 1 mol of CO reacts with 1 mol of H₂O to give 1 mol of H₂ and 1 mol of CO₂. So, 0.174 mol of CO reacts with 0.174 mol of H₂O.

The number of moles of H₂O = 0.174 mol

The heat requirement can be calculated using the formula:
q = ΔHrxn - ΔHvap + Cp(T2 - T1)
Here, ΔHrxn is the enthalpy of reaction, ΔHvap is the enthalpy of vaporization, Cp is the specific heat capacity, T1 is the initial temperature, and T2 is the final temperature.
The enthalpy of reaction can be calculated as:
ΔHrxn = ΣnΔHf(products) - ΣnΔHf(reactants)
Here, n is the stoichiometric coefficient of the reactant or product in the balanced chemical equation.

ΔHf of CO = -110.53 kJ/mol (from tables)

ΔHf of H₂ = 0 kJ/mol (by definition)

ΔHf of CO₂ = -393.51 kJ/mol (from tables)

ΔHf of CH₄ = -74.87 kJ/mol (from tables)
So, ΔHrxn = (1 × (-110.53) + 1 × 0) - (1 × (-74.87) + 1 × (-241.83))

= -110.53 + 74.87 + 241.83

= 206.17 kJ/mol

The enthalpy of vaporization of water is 40.7 kJ/mol.

The specific heat capacity of the product stream can be assumed to be 6.5 kJ/(mol.K).

So, q = 206.17 - 40.7 + 6.5 × (1300 - 600)

= 3719.37 kJ
Therefore, the heat requirement for the reactor is 3719.37 kJ.

The heat requirement for the reactor is 3719.37 kJ.

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Answer: P = 4/52 = 0.077 or 7.7%

Step-by-step explanation:

I will answer in English.

We have a deck of 52 cards, and we want to find the probability of drawing, at random, a 1.

We have 4 1's in the deck, one for spades, one for hearts, one for diamonds and one for clovers.

So the probability can be calculated as the quotient between the total number of 1's in the deck and the total number of cards in the deck, this is:

P = 4/52 = 0.077

Answer:

2.5 pages an hour

Hope this helps! Sorry if I'm wrong!

Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:

P2(x) = 16x + 8x^2

P3(x) = 16x + 8x^2

To find the Taylor polynomials centered at x = 0 for the function f(x) = 16tan(x), we can use the Taylor series expansion for the tangent function and truncate it to the desired degree.

The Taylor series expansion for tangent function is:

tan(x) = x + (1/3)x^3 + (2/15)x^5 + (17/315)x^7 + ...

Using this expansion, we can find the Taylor polynomials of degree 2 and 3 centered at x = 0:

Degree 2 Taylor polynomial:

P2(x) = f(0) + f'(0)(x - 0) + (1/2!)f''(0)(x - 0)^2

= 16tan(0) + 16sec^2(0)(x - 0) + (1/2!)16sec^2(0)(x - 0)^2

= 0 + 16x + 8x^2

Degree 3 Taylor polynomial:

P3(x) = P2(x) + (1/3!)f'''(0)(x - 0)^3

= 0 + 16x + 8x^2 + (1/3!)(48sec^2(0)tan(0))(x - 0)^3

= 16x + 8x^2

Therefore, the Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:

P2(x) = 16x + 8x^2

P3(x) = 16x + 8x^2

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The value of the contour surface passing through the point (1, 0, 2) is ψ(1, 0, 2) = 1^2 + 2e^0 = 1 + 2 = 3.

To find the points on the curve where the tangent is horizontal, we need to determine the values of t that satisfy the condition for a horizontal tangent, which is when the derivative of y with respect to t is equal to 0.

Given the parametric equations:

x = 2t^3 + 3t^2 - 12t

y = 2t^3 + 3t^2 + 1

Taking the derivative of y with respect to t:

dy/dt = 6t^2 + 6t

Setting dy/dt equal to 0 and solving for t:

6t^2 + 6t = 0

t(6t + 6) = 0

From this equation, we have two possible solutions:

t = 0

6t + 6 = 0, which gives t = -1.

Therefore, the points on the curve where the tangent is horizontal are (0, y(0)) and (-1, y(-1)). To find the corresponding y-values, substitute the values of t into the equation for y:

For t = 0:

y(0) = 2(0)^3 + 3(0)^2 + 1 = 1

For t = -1:

y(-1) = 2(-1)^3 + 3(-1)^2 + 1 = -2 + 3 + 1 = 2

Hence, the points on the curve where the tangent is horizontal are (0, 1) and (-1, 2).

To find the points on the curve where the tangent is vertical, we need to determine the values of t that satisfy the condition for a vertical tangent, which is when the derivative of x with respect to t is equal to 0.

Taking the derivative of x with respect to t:

dx/dt = 6t^2 + 6t - 12

Setting dx/dt equal to 0 and solving for t:

6t^2 + 6t - 12 = 0

t^2 + t - 2 = 0

(t + 2)(t - 1) = 0

From this equation, we have two possible solutions:

t + 2 = 0, which gives t = -2

t - 1 = 0, which gives t = 1.

Therefore, the points on the curve where the tangent is vertical are (x(-2), y(-2)) and (x(1), y(1)). To find the corresponding x-values and y-values, substitute the values of t into the equations for x and y:

For t = -2:

x(-2) = 2(-2)^3 + 3(-2)^2 - 12(-2) = -16 + 12 + 24 = 20

y(-2) = 2(-2)^3 + 3(-2)^2 + 1 = -16 + 12 + 1 = -3

For t = 1:

x(1) = 2(1)^3 + 3(1)^2 - 12(1) = 2 + 3 - 12 = -7

y(1) = 2(1)^3 + 3(1)^2 + 1 = 2 + 3 + 1 = 6

Hence, the points on the curve where the tangent is vertical are (20, -3) and (-7, 6).

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C) the regression sum of squares.

The variation in the dependent variable explained by the independent variable is measured by the regression sum of squares (RSS). The RSS quantifies the amount of variation in the dependent variable (y) that is accounted for by the regression model, which includes the independent variable(s) (x) and their estimated coefficients.

The regression sum of squares is calculated by summing the squared differences between the predicted values (based on the regression model) and the mean of the dependent variable. It represents the variation in the dependent variable that is "explained" or "captured" by the regression model.

The mean squared error (A) and the sum of squared errors (B) are other measures related to regression analysis, but they do not specifically quantify the variation explained by the independent variable.

The mean squared error represents the average of the squared differences between the observed and predicted values, while the sum of squared errors represents the total sum of squared differences between the observed and predicted values.

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The system of linear equations represents the situation is;

x + y = 125

x + y = 1255x + 8y = 775

Simultaneous equation is an equation in two unknown values are being solved for at the same time.

let

x + y = 125

5x + 8y = 775

From equation (1)

x = 125 - y

5x + 8y = 775

5(125 - y) + 8y = 775

625 - 5y + 8y = 775

- 5y + 8y = 775 - 625

3y = 150

y = 150/3

y = 50

x + y = 125

x + 50 = 125

x = 125 - 50

x = 75

Therefore, the number of quick washes and premium washes Monica’s school band had is 75 and 50 respectively.

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Answer:

A. 5x + 8y = 775 and x + y =125

Step-by-step explanation:

A nonlinear regression model is represented by the equation y = 1/(a0 + B1x) + u, thus option C is the correct answer.

The nonlinear regression model is an extension of the linear regression model. It's used to fit more complex models to data and determine the relationship between variables that cannot be explained by a straight line. A nonlinear regression model is a statistical method that analyzes data that is not linear. There are many forms of nonlinear regression models, each with its assumptions and properties. These models are frequently used in finance, economics, biology, engineering, and other fields to predict outcomes that can not be predicted using linear regression models. Nonlinear regression models are advantageous over linear models because they are more accurate, as they can model data that does not conform to a straight line.

A nonlinear regression model can be expressed in a general way as y = f (x, β) + ε, where y is the dependent variable, x is the independent variable, β is the set of unknown parameters, f( ) is the nonlinear function, and ε is the error term. The model requires the estimation of the unknown parameters in β. This type of model can be used to model several types of non-linear phenomena such as exponential growth and decay, power laws, and asymptotic trends.

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The normal gates by Canonical Sum of Products is:A’B’CD + AB’CD + ABD’ + A’BC’D’ + ABC’D’ + AB’C’D’ + A’B’C’D’ + A’BCD’ + AB’C’D’ + ABCD’And the normal gates by Canonical Product of Sums is:(A+B+C+D’).(A+B+C’+D).(A+B’+C+D).(A’+B+C+D).(A’+B+C’+D’)

Here's how to implement the truth table using normal gates by Canonical Sum of Products and Canonical Product of Sums:Canonical Sum of Products:Step 1: Write the sum of products of the truth table that equal 1f = Σm(4,5,6,7,8,9,10,12,13,14,15) = A’B’CD + AB’CD + ABD’ + A’BC’D’ + ABC’D’ + AB’C’D’ + A’B’C’D’ + A’BCD’ + AB’C’D’ + ABCD’Canonical Product of Sums:Step 1: Write the product of sums of the truth table that equal 0f = ΠM(0,1,2,3,11) = (A+B+C+D’).(A+B+C’+D).(A+B’+C+D).(A’+B+C+D).(A’+B+C’+D’)Hence, the normal gates by Canonical Sum of Products is:A’B’CD + AB’CD + ABD’ + A’BC’D’ + ABC’D’ + AB’C’D’ + A’B’C’D’ + A’BCD’ + AB’C’D’ + ABCD’And the normal gates by Canonical Product of Sums is:(A+B+C+D’).(A+B+C’+D).(A+B’+C+D).(A’+B+C+D).(A’+B+C’+D’)

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Answer:

2.50*10  350+d

Step-by-step explanation:

Given the topological spaces X = {D, O, R, K} with the topology Tx and Y = {M, A, T, H} with the topology Jy, we are asked to determine whether the set E = {0, K} is open in X and open in Y.

To determine whether the set E = {0, K} is open in the topological spaces X and Y, we need to check if E belongs to the respective topologies, Tx and Ty.

In X, the topology Tx is given by: Tx = {Ø, {0}, {D, O}, {O, R}, {D, O, R}, X}. We can see that E = {0, K} is not explicitly listed in Tx. Therefore, E is not open in X since it does not belong to the topology.

In Y, the topology Ty is given by: Jy = {0, {M}, {M, A}, {M, A, T}, Y}. Again, E = {0, K} is not explicitly listed in Ty. Hence, E is not open in Y as it does not belong to the topology.

In both cases, the set E = {0, K} is not open in the respective topological spaces X and Y because it is not a member of the defined topologies.

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Answer:

(2, –3) is a solution to the system of linear equations.

Step-by-step explanation:

Given: Equations:

3x - y = 9 --------(1),

4x + y = 5 --------(2),

Add Equation (1) + Equation (2),

3x + 4x = 9 + 5

7x = 14  ( Combine like terms )

x = 2   ( Divide both sides by 7 ),

From equation 1:

3(2) - y = 9

6 - y = 9

-y = 9 - 6    ( Subtraction 6 on both sides )

-y = 3

y = - 3     ( Multiplying -1 on both sides )

Answer:

The perimeter of square will be 18 units

Step-by-step explanation:

We are given that the coordinates of three vertices of a square A (-2 1/2 , 1 1/2), B (-2 1/2 -3), and C (2,1 1/2 )

When point D is placed on this perimeter.

We have to find the perimeter of the square.

First we have to find the side of square by using the distance formula

Distance formula

\(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Coordinates of A=(-5/2,3/2)

Coordinates of B=(-5/2,-3)

Length of side AB=\(\sqrt{(-5/2+5/2)^2+(-3-3/2)^2}\)

Length of side AB=\(\sqrt{0+(-9/2)^2}\)

Length of side AB=9/2 units

Now, the perimeter of square=4 (side)

Using the formula

Perimeter of square=4(9/2)=18 units