Which line has a negative slope?

Answer:

x=3

Step-by-step explanation:

The Absolute Value term is 2|3x-2|

For the Negative case we'll use -2(3x-2)

For the Positive case we'll use 2(3x-2)

2(3x-2) = 14

    Multiply

     -6x+4 = 14

    Rearrange and Add up

     -6x = 10

    Divide both sides by 6

     -x = (5/3)

    Multiply both sides by (-1)

     x = -(5/3)

    Which is the solution for the Negative Case

2(3x-2) = 14

    Multiply

     6x-4 = 14

    Rearrange and Add up

     6x = 18

    Divide both sides by 6

     x = 3

    Which is the solution for the Positive Case

x=-5/3

x=3

Answer:

C is correct

Step-by-step explanation:

3 groups of -2

Answer:

wdym? like the app remind?

Answer:

you have to download the remind app

We are given the following information

Line AC and EG are perpendicular.

Angle FBC is the complement of the angle ABD.

Angle FBC = (x + 4)°

Angle ABD = (5x - 10)°

We are asked to find the angle EBF.

Recall that when two angles are complementary then they add up to 90°

So we can write

Let us substitute the given values and solve for x.

So the angle FBC is

Since we know that lines AC and EG are perpendicular so the angle FBC and angle EBF must add up to 90°

Therefore, the angle EBF is 70°.

The solution to the equation -1/2w - 3/5 = 1/5w is w = -6/7, meaning that w equals negative six-sevenths when the equation is true.

To solve the equation -1/2w - 3/5 = 1/5w, we'll start by simplifying and rearranging the terms to isolate the variable w.

First, we'll combine like terms on the left side of the equation:

-1/2w - 3/5 = 1/5w

To make the equation easier to work with, let's get rid of the fractions by multiplying every term in the equation by the common denominator, which is 10:

10 * (-1/2w) - 10 * (3/5) = 10 * (1/5w)

This simplifies to:

-5w - 6 = 2w

Next, we'll group the w terms on one side of the equation and the constant terms on the other side:

-5w - 2w = 6

Combining like terms, we have:

-7w = 6

Now, we'll isolate the variable w by dividing both sides of the equation by -7:

(-7w)/(-7) = 6/(-7)

This simplifies to:

w = -6/7

Therefore, the solution to the equation -1/2w - 3/5 = 1/5w is w = -6/7.

In conclusion, w is equal to -6/7 when the equation -1/2w - 3/5 = 1/5w is satisfied.

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Answer:

Triangle QNR is congruent to Triangle RMQ by ASA congruence

Step-by-step explanation:

In Triangle QNR and Triangle RMQ,

QR = QR  ( Common )

Angle MRQ = Angle NQR ( given )

Angle MQR = Angle NRQ ( Isoceles Triangle Property )

Therefore, Triangle QNR is congruent to Triangle RMQ by ASA congruence.

Answer: She payed $108

Step-by-step explanation:

The area of the balcony is 27 square feet so 27 x 4 = 108.

x=2/3

6(2/3) + 4 9/10 =4 + 4 9/10 = 8 9/10

Answer:

2x-1=y,2y+3=x

Step-by-step explanation:

no explanation

Answer:The length of the other diagonal is: C. 15 feet.

Step-by-step explanation:

Answer:

Its 1,600

Step-by-step explanation:

You just move the decimal the number the exponent is, in your case its positive 3 so you move it 3 to the right.

Hope this helps!

1.6 X 10³ written  in standard form is 1600.

Scientific form of numbers are written in base multiplied by powers of 10.Where base is greater than or equal to 1 and less than 10.Can be expressed numerically as 1≤base<10.

Scientific form of number are compact and takes less space and they are raise to exponents.

According to the given question a number 1.6×10³ is written in scientific form we have to convert this number into standard form.

We know 10³ = 1000.

∴ 1.6×10³ = 1.6 × 1000.

= 1600.

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Answer: It should be 470 cm^2

Step-by-step explanation:

Answer:

m= rise/ run

Step-by-step explanation:

We can find the slope by

m= rise/ run

 = change in y/ change in x

 = ( y2-y1)/(x2-x1)

  = vertical change/ horizontal change

Answer:

C: m= rise/run

mark my answer!

The radius of curvature (r) is -100 cm and Magnification (m) is 11.26. The mirror is a concave mirror.

Given Data: Object distance, u = -1.03 cm; Image distance, v = 11.6 cm

To find: The radius of curvature (r) and Magnification (m).

Formula used:

1/f = 1/v - 1/u;

Magnification, m = -v/u

Calculation:

Using the formula,

1/f = 1/v - 1/u

1/f = 1/11.6 - 1/-1.03 = -0.02

f = -50 cm

The radius of curvature,

r = 2f

r = 2 × (-50) = -100 cm

Since the radius of curvature is negative, the mirror is a concave mirror.

Magnification, m = -v/u= -11.6/-1.03= 11.26

Hence, the radius of curvature (r) is -100 cm and Magnification (m) is 11.26.

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Answer:

There are 15 different combinations of shows can gabe choose to watch.

Given,

Number of shows to be telecasted = 6

Number of allowed shows to watch =4

Gabe is allowed to watch 4 shows from total 6 shows.

To calculate combinations of shows that can gabe choose to watch, use formula

\(nCr=\frac{n!}{r!(n-r)!}\)

Where, n=Total number of shows i.e. 6

r= Number of choosing shows i.e.

\(nCr=\frac{6!}{4!(6-2)!}\\\\nCr=\frac{6*5*4*3*2*1}{4*3*2*1(2)!}\\\\nCr=\frac{6*5*4*3*2*1}{4*3*2*1*2}\\\\nCr=15\)

Thus, there are 15 different combinations of shows can gabe choose to watch.

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As I became more experienced playing the game, I began to adjust my budgeting process to account for my changing needs.

Budgeting is a financial planning process that involves creating a plan to manage your income and expenses over a specific period of time.

My budgeting process involved taking the total amount of money I had to spend and splitting it up into different categories based on my needs.

I allocated a portion of the money for food, transportation, entertainment, and other expenses.

As I became more experienced playing the game, I began to adjust my budgeting process to account for my changing needs.

For example, I started to prioritize saving for a larger expense, such as a trip, over smaller items like eating out or entertainment.

I also re-evaluated my spending habits regularly to see if I could be saving money in any area or if I could be spending it more efficiently.

This process helped me to become more mindful and intentional with my spending and allowed me to make smart decisions with my money.

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In conclusion, to compute the chi-square value, we need to know the number of categories and use the appropriate formula or table to find the critical value. The degrees of freedom (df) will be equal to the number of categories minus one (df = k-1).

In the given question, we need to compute the chi-square value to determine the upper bound of the interval. The chi-square value depends on the degrees of freedom (df). To calculate it, we need to know the significance level (α) and the number of categories (k).

Since the question does not provide information about the number of categories, we cannot determine the exact degrees of freedom. However, we can assume that the number of categories is given, and proceed accordingly.

Assuming k is the number of categories, the degrees of freedom (df) will be (k-1).

For example, if there are 5 categories, the degrees of freedom will be (5-1) = 4.

The chi-square value is computed using a chi-square distribution table or a calculator. By using the significance level (α) and the degrees of freedom (df), we can determine the critical value.

In conclusion, to compute the chi-square value, we need to know the number of categories and use the appropriate formula or table to find the critical value. The degrees of freedom (df) will be equal to the number of categories minus one (df = k-1).

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Based on the given survey, approximately 422 respondents reported that they consume five or more servings of soft drinks per week.

To determine the number of survey respondents who reported consuming five or more servings of soft drinks per week, we need to calculate 21% of the total number of survey respondents.

The survey stated that 21% of New Zealanders consume five or more servings of soft drinks per week. We are given that the survey was conducted on 2,009 randomly selected New Zealanders over 15 years of age.

To calculate the number of respondents who consume five or more servings of soft drinks per week, we multiply the percentage by the total number of survey respondents:

Number of survey respondents = Percentage of respondents * Total number of respondents

= 0.21 * 2,009

= 422.289

Rounding to the nearest whole number, we find that approximately 422 survey respondents reported consuming five or more servings of soft drinks per week.

Therefore, based on the given survey, approximately 422 respondents reported that they consume five or more servings of soft drinks per week.

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Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.

If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.

The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.

In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.

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Answer: a= 1 b=-8 c=15

Step-by-step explanation:

A is the number before \(x^{2}\)

B is the number (including the sign) before X

c is the number without a variable

Those activities that enable a person to describe in the detail the system that solves the need is called "System design".

The method of defining the components of a system consists, modules, and components, the various interfaces of those components, and the data that flows through that system is known as system design.

Some key features regarding the system design are-

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The minimized SOP expression for F(A,B,C,D,E) using a five-variable Karnaugh map is D'E' + BCE'. A five-variable Karnaugh map is a graphical tool used to simplify Boolean expressions.

The map consists of a grid with input variables A, B, C, D, and E as the column and row headings. The cell entries in the map correspond to the output values of the logic function for the respective input combinations.

To find the minimized SOP expression, we start by marking the cells in the Karnaugh map corresponding to the minterms given in the function: 2m(4,5,6,7,9,11,13,15,16,18,27,28,31). These cells are identified by their binary representations.

Next, we look for adjacent marked cells in groups of 1s, 2s, 4s, and 8s. These groups represent terms that can be combined to form a simplified expression. In this case, we find a group of 1s in the map that corresponds to the term D'E' and a group of 2s that corresponds to the term BCE'. Combining these groups, we obtain the expression D'E' + BCE'.

The final step is to check for any remaining cells that are not covered by the combined terms. In this case, there are no remaining cells. Therefore, the minimized SOP expression for the given logic function F(A,B,C,D,E) is D'E' + BCE'.

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The measure of angle 1 from the given circle is 27 degree.

Angle 6 =90 degree

Angle 2=90 degree

Angle 17=Measure of arc FA = 100 degree

Angle 16 = Measure of EF = 26 degree

Angle 4 = measure of DE = 44 degree

2× angle 1= 180-100-26

2×angle 1= 54

angle 1=angle 14=27 degree

angle 14+angle 15+angle 16=180

27+angle 15+26=180

angle 15=127

angle 15=angle 20=127

angle 15+angle 21=180

angle 21=53

angle 21=angle 19=53

Angle 13 = measure BC = 82

angle B+angle E+angle ECB =180

angle 1+angle 19+angle 17=180

angle 1+53+100=180

angle 1+153=180

angle 1 =180-153

angle 1=27

Therefore, the measure of angle 1 from the given circle is 27 degree.

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To find the equation of the tangent line to the curve y = tan²(2x) at x = π/4, we need to determine the slope of the tangent line at that point and then use the point-slope form of a line to write the equation.

First, let's find the derivative of y with respect to x. Using the chain rule, we have:

dy/dx = 2tan(2x) sec²(2x).

Now, let's substitute x = π/4 into the derivative:

dy/dx = 2tan(2(π/4)) * sec²(2(π/4))

      = 2tan(π/2) * sec²(π/2)

      = 2(∞) * 1

      = ∞.

The derivative at x = π/4 is undefined, indicating that the tangent line at that point is vertical. Therefore, the equation of the tangent line is x = π/4. Note that the equation y = 2/tan(2x) (sec²(2x) + 1/2) is not the equation of the tangent line, but rather the equation of the curve itself. The tangent line, in this case, is vertical.

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The height of the hill for the given angle of elevation through which the given condition is satisfied is 460.1 ft

What about angle of elevation?

The angle of elevation is the angle between the horizontal plane and the line of sight or the direction of the observer's line of sight above the horizontal plane. It is measured upwards from the horizontal plane to the object being viewed. The angle of elevation is typically used in trigonometry and geometry to calculate the height, distance, or length of an object or location.

According to the given information:

Given, The given angle of elevation from point A to the top of a hill is \(49^{0}\).

As, we know tan (x) = \(\frac{perpendicular}{base}\)

tan \(49^{0}\) = \(\frac{unknown}{400}\)

1.15 x 400 = unknown

So, the unknown = 460.1 ft

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let's first off, convert the mixed fractions to improper fractions.

\(\stackrel{mixed}{8\frac{2}{5}}\implies \cfrac{8\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{42}{5}}~\hfill \stackrel{mixed}{6\frac{7}{10}} \implies \cfrac{6\cdot 10+7}{10} \implies \stackrel{improper}{\cfrac{67}{10}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{42}{5}-\cfrac{67}{10}\implies \cfrac{(2)42~~ - ~~(1)67}{\underset{\textit{using this LCD}}{10}}\implies \cfrac{84-67}{10}\implies \cfrac{17}{10}\implies 1\frac{7}{10}\)

Answer:

AZ and XZ ok I got you u kinda smart

Step-by-step explanation:

So it is so ez

To find a formula for the general term of a sequence, we need to identify the pattern in the given sequence and then express it algebraically. In the provided sequences, the first few terms are given, and we need to find a formula that extends the pattern to generate the rest of the terms.

6. The sequence {-3, 2, -3, §, -29, 16, ...} does not have a clear pattern based on the given terms, so it is difficult to determine a formula for the general term without more information.

8. The sequence {5, 1, 5, 1, 5, 1, ...} follows a repetitive pattern where the terms alternate between 5 and 1. We can express this pattern algebraically as a formula: a_n = 5 if n is odd, and a_n = 1 if n is even.

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The probability that Joe and Mathew would have to purchase no books on this visit to the bookstore is given as 0.125.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

We are to find the probability where p(x) = 0 and p(y) = 0

This is where we would have

from the table,  p(x) = 0 is 0.5

p(y) = 0 is 0.25

0.25 x 0.5 = 0.125

Hence the probability that no books would be bought is 0.125.

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To construct the augmented matrix for the given system of equations, we need to arrange the coefficients of the variables and the constants in a matrix form. The augmented matrix is obtained by combining the coefficient matrix and the constant matrix.

Let's denote the variables as x, y, and z. The system of equations can be written as follows:

Equation 1: 4x + 4y - z^3 = 22

Equation 2: 2(3z - 7x) = y - 3

Equation 3: x - 7z = 6y

Now, let's arrange the coefficients and constants in matrix form. The augmented matrix is a matrix that combines the coefficient matrix and the constant matrix by appending them together.

The coefficient matrix consists of the coefficients of the variables:

```

[4   4   -1^3]

[-14   0   6]

[1   0   -7]

```

The constant matrix consists of the constants on the right-hand side of each equation:

```

[22]

[-3]

[0]

```

To construct the augmented matrix, we append the constant matrix to the right of the coefficient matrix, using a vertical line to separate them:

```

[4   4   -1^3 | 22]

[-14   0   6 | -3]

[1   0   -7 | 0]

```

This augmented matrix represents the given system of equations. Each row corresponds to an equation, and the columns represent the coefficients and constants associated with each variable. The augmented matrix allows us to perform row operations and apply matrix methods to solve the system of equations, such as Gaussian elimination or matrix inverses.

By manipulating and reducing the augmented matrix using row operations, we can find the solution to the system of equations, if one exists.

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