i got b, but the answer is c.
can someone help please

The entry in the elementary matrix e, corresponding to the row operation -6R2+R4 -> R4, is located in row number 4 and column number 2, and its value is -6.

To construct the elementary matrix e, we start with the 4 by 4 identity matrix I4 and perform the row operation -6R2+R4 -> R4. The row operation is equivalent to multiplying the second row of I4 by -6 and adding the result to the fourth row. This can be represented by the following matrix:

[1 0 0 0]

[0 1 0 0]

[0 -6 1 0]

[0 0 0 1]

Thus, the entry in row 4 and column 2 is -6, and all other entries in e are identical to those in I4.

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Complete Question:

let e be the 4 by 4 elementary matrix corresponding to the row operation  -6R2+R4  -> R4  then e is identical to I4 at every entry except at the entry on row number_______ and column number_______ where the entry in e is________.

Answer:

infinite solutions

Step-by-step explanation:

10 + 4x = 2(2x + 5)

10 + 4x = 4x + 10

The process by which some drugs have the effect that, every time you take the drug, you increase slightly the probability that you will take it again is called the reinforcing effect.

The reinforcing effect can be described as the tendency of an individual to repeat a behavior that produces a positive outcome.Reinforcement is an essential concept in the field of drug addiction. In this sense, reinforcement occurs when a drug produces a positive effect on the brain's reward center. Consequently, the individual will want to continue taking the drug to experience the positive outcome, leading to addiction.The reinforcing effect is the reason why people tend to continue taking drugs that lead to addiction, even if they are aware of the negative effects. However, this effect does not apply to all drugs, as not all drugs produce a positive outcome. In addition, the intensity of the reinforcing effect varies from one individual to another and can depend on different factors such as genetics, the dose taken, or the route of administration.In conclusion, the reinforcing effect is a critical concept in drug addiction, which explains why people tend to continue taking drugs that lead to addiction.

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Answer:

1,1 3,3 6,6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Of the four variables, employee number, pay rate, hire date, and sex, the "Sex" variable is the best fit to use as a dummy variable.

The variable "Sex" is the best fit to use as a dummy variable. A dummy variable is used to represent a categorical variable with a numerical value, such as 0 or 1. In this case, "Sex" is a categorical variable with two categories (male and female) and can be transformed into a dummy variable with values 0 or 1 to represent the categories. The other variables, Employee Number, Pay Rate, and Hire Date, are not categorical variables and would not be appropriate to use as dummy variables.

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Answer:

Step-by-step explanation:

8

The three asymptotes are the Vertical asymptote, Horizontal asymptote, and oblique asymptote.

Asymptotes represent the range of values that a function approaches as x approaches a certain value. These asymptotes are graphed as a dashed vertical, horizontal, or slanted line as shown in the graph.

Vertical asymptote

The first asymptote you undoubtedly met was a vertical one. That’s because they represent the function’s restricted values for x throughout the function.

Horizontal asymptote

Horizontal asymptotes are shown by horizontal dashed lines, as implied by their name. These represent the values that the function approaches as  is significantly large or small.

Oblique asymptote

The linear equation y=mx+b is used to express the oblique asymptote, which is a slanted asymptote. This happens when the denominator and numerator of the rational function are of different degrees (numerator>denominator).

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Answer:  1. Mary Ann has saved $2 more than Carlos

Step-by-step explanation: At 3 hours...

Carlos has $26 according to chart

Mary Ann has...

y=6(3)+10

y=18+10

y=28

so

28-26=2

she has 2 more dollars than him

The difference in their savings after 3 hours of working is option 1. Mary Ann has saved $2 more than Carlos.

A linear function can be defined as the function whose graph is a straight line. It can also be defined as the function with one or more variables and the exponent of the variable is 1.

Given are two linear functions.

Let x represent the number of hours each person works y represent the total earnings in dollars.

Savings of Mary Ann is represented as,

y = 6x + 10

Savings of Carlos is represented in the graph shown.

After working 3 hours,

Savings of Mary Ann = (6 × 3) + 10 = $28

From the graph,

Savings of Carlos = $26

Difference in the savings = $28 - $26 = $2

Hence Mary Ann has saved $2 more than Carlos.

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Answer:

x = 5

Step-by-step explanation:

See attachment.  Use substitution to eliminate the y variable, as shown.

We will see that the given equation is false for all values of z, thus, the equation has no solutions.

Here we have the absolute value equation:

3*|2z + 9| + 12 = 10

To solve this we first need to isolate the absolute value part, so let's do that:

3*|2z + 9| + 12 = 10

3*|2z + 9| = 10 - 12 = -2

|2z + 9| = -2/3

Now, remember that the absolute value is always a positive quantity, then the above equation is false, an absolute value never can be equal to a negative number.

Then our equation has no solutions.

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Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. The value of the account on January 1, 2021, would be $2,331.57.

To calculate the value of the account on January 1, 2021, we need to consider the compounding interest for each year.

First, we calculate the value of the initial deposit after three years (12 quarters) using the formula for compound interest:

Principal = $1,000

Rate of interest per period = 8% / 4 = 2% per quarter

Number of periods = 12 quarters

Value after three years = Principal * (1 + Rate of interest per period)^(Number of periods)

                           = $1,000 * (1 + 0.02)^12

                           ≈ $1,166.41

Next, we calculate the value of the additional $1,000 deposit made on January 1, 2019, after two years (8 quarters):

Principal = $1,000

Rate of interest per period = 2% per quarter

Number of periods = 8 quarters

Value after two years = Principal * (1 + Rate of interest per period)^(Number of periods)

                         = $1,000 * (1 + 0.02)^8

                         ≈ $1,165.16

Finally, we add the two values to find the total value of the account on January 1, 2021:

Total value = Value after three years + Value after two years

                ≈ $1,166.41 + $1,165.16

                ≈ $2,331.57

Therefore, the value of the account on January 1, 2021, is approximately $2,331.57.

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Answer:

62

Step-by-step explanation:

93÷150=0.62

×100 = 62

Hope this helps!!!!

Answer:

62

Step-by-step explanation:

Divide

93/150% = 62

(100*93) / 150

9,300/150 = 62

Melanie does not have enough grass seed to make a lawn.

To find out if Melanie has enough grass seed to make a lawn by 12m by 14m, we need to calculate the area of the lawn and compare it to the amount of grass seed she has.

The area of the square lawn is 8m x 8m = 64 square meters. To cover this area with 5kg of grass seed, we can calculate the amount of grass seed needed per square meter: 5kg / 64 square meters = 0.078125 kg/square meter.

The area of the rectangular lawn is 12m x 14m = 168 square meters. To cover this area with the same amount of grass seed per square meter, we can calculate the total amount of grass seed needed: 168 square meters x 0.078125 kg/square meter = 13.125 kg.

Since Melanie only has 4 boxes of grass seed, which is a total of 12kg, she does not have enough to cover the rectangular lawn. She would need at least 1.125 kg more grass seed to cover the area.

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Option C is the next step to construct a congruent angle.

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

Given Data

R makes the same angle with PQ and QR.

Option C is the next step to construct a congruent angle.

Steps to construct congruent triangle:

1) Each of the three sides is equal (SSS: side, side, side)

2) A comparable side and two angles are the same (ASA: angle, side, angle)

3) Both the angle between the two sides and the two sides' dimensions are equal (SAS: side, angle, side)

4) The hypotenuse, the corresponding side, and a right angle are all equal (RHS, right angle, hypotenuse, side).

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Answer:

\(\begin{array}{|l|c|c|c|}\cline{1-4} \vphantom{\dfrac12}& \sf Male & \sf Female & \sf Total\\\cline{1-4} \vphantom{\dfrac12}\sf Plays \; pickleball & 74\%& 5\% & 79\%\\\cline{1-4} \vphantom{\dfrac12}\sf Does\;not\;play\; pickleball &4\% & 17\%& 21\%\\\cline{1-4} \vphantom{\dfrac12}\sf Column\;Totals&78\%&22\%& 100\%\\\cline{1-4}\end{array}\)

Step-by-step explanation:

Create a blank frequency table:

\(\begin{array}{|l|c|c|c|}\cline{1-4} \vphantom{\dfrac12}& \sf Male & \sf Female & \sf Total\\\cline{1-4} \vphantom{\dfrac12}\sf Plays \; pickleball & & &\\\cline{1-4} \vphantom{\dfrac12}\sf Does\;not\;play\; pickleball & & &\\\cline{1-4} \vphantom{\dfrac12}\sf Column\;Totals&&& 100\%\\\cline{1-4}\end{array}\)

If 79% of the participants played pickleball, then 21% of the participants do not play pickleball.

Input these percentages into the table:

\(\begin{array}{|l|c|c|c|}\cline{1-4} \vphantom{\dfrac12}& \sf Male & \sf Female & \sf Total\\\cline{1-4} \vphantom{\dfrac12}\sf Plays \; pickleball & & & 79\%\\\cline{1-4} \vphantom{\dfrac12}\sf Does\;not\;play\; pickleball & & & 21\%\\\cline{1-4} \vphantom{\dfrac12}\sf Column\;Totals&&& 100\%\\\cline{1-4}\end{array}\)

Of those who play pickleball, 6% are female.

Therefore, of those who play pickleball, 94% must be male.

The total percentage of those who play pickleball is 79%, so find 6% and 94% of 79%:

\(\begin{aligned}\textsf{Plays pickleball (female)}&=6\% \; \sf of \; 79\%\\&=0.06 \times 0.79\\&=0.0474\\&=5\%\; \sf (nearest\;percent)\end{aligned}\)

\(\begin{aligned}\textsf{Plays pickleball (male)}&=94\% \; \sf of \; 79\%\\&=0.94 \times 0.79\\&=0.7426\\&=74\%\; \sf (nearest\;percent)\end{aligned}\)

Input the found percentages into the table:

\(\begin{array}{|l|c|c|c|}\cline{1-4} \vphantom{\dfrac12}& \sf Male & \sf Female & \sf Total\\\cline{1-4} \vphantom{\dfrac12}\sf Plays \; pickleball & 74\%& 5\% & 79\%\\\cline{1-4} \vphantom{\dfrac12}\sf Does\;not\;play\; pickleball & & & 21\%\\\cline{1-4} \vphantom{\dfrac12}\sf Column\;Totals&&& 100\%\\\cline{1-4}\end{array}\)

Of those who do not play pickleball, 21% are male.

Therefore, of those who do not play pickleball, 79% must be female.

The total percentage of those who do not play pickleball is 21%, so find 21% and 79% of 21%:

\(\begin{aligned}\textsf{Does not play pickleball (male)}&=21\% \; \sf of \; 21\%\\&=0.21 \times 0.21 \\&=0.0441\\&=4\%\; \sf (nearest\;percent)\end{aligned}\)

\(\begin{aligned}\textsf{Does not play pickleball (female)}&=79\% \; \sf of \; 21\%\\&=0.79 \times 0.21\\&=0.1659\\&=17\%\; \sf (nearest\;percent)\end{aligned}\)

Input the found percentages into the table and calculate the column totals:

\(\begin{array}{|l|c|c|c|}\cline{1-4} \vphantom{\dfrac12}& \sf Male & \sf Female & \sf Total\\\cline{1-4} \vphantom{\dfrac12}\sf Plays \; pickleball & 74\%& 5\% & 79\%\\\cline{1-4} \vphantom{\dfrac12}\sf Does\;not\;play\; pickleball &4\% & 17\%& 21\%\\\cline{1-4} \vphantom{\dfrac12}\sf Column\;Totals&78\%&22\%& 100\%\\\cline{1-4}\end{array}\)

Answer:

c

Step-by-step explanation:

i took the test :)

The area surface generated by revolving the curves about the x-axis is 9.87 square units

To find the surface area generated by revolving the curve y=sin(x) about the x-axis, we use the formula:

S = 2π∫aᵇ y ds

where a and b are the limits of integration, y is the function being revolved, and ds is the differential element of arc length.

To find ds, we use the formula:

ds = √(1 + (dy/dx)²) dx

where dy/dx is the derivative of y with respect to x.

Taking the derivative of y=sin(x), we get:

dy/dx = cos(x)

Substituting into the formula for ds, we get:

ds =√(1 + cos²(x)) dx

Now we can substitute y=sin(x) and ds into the formula for surface area and integrate from x=0 to x=π:

S = 2π \(\int\limits^\pi_0\) sin(x) √t(1 + cos²(x)) dx

This integral cannot be evaluated in terms of elementary functions, so we must use numerical methods to approximate the value. Using a numerical integration tool, we get:

S ≈ 9.87

Therefore, the surface area generated by revolving the curve y=sin(x) about the x-axis is approximately 9.87 square units.

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points of intersection with xy-plane (-1, -6, 0)

points of intersection with yz-plane (0, 3, 0)

points of intersection with xz-plane (1, 0, 2)

(a) The symmetric equations for the line that passes through the point (1, -4, 6) and is parallel to the vector (-1, 3, -3), we can use the point-normal form of the equation of a line.

The point-normal form is given by:

(x - x0) / a = (y - y0) / b = (z - z0) / c,

where (x0, y0, z0) is a point on the line, and (a, b, c) is the direction vector of the line.

In this case, the point (1, -4, 6) lies on the line, and the direction vector is (-1, 3, -3).

Substituting these values into the point-normal form, we have:

(x - 1) / -1 = (y + 4) / 3 = (z - 6) / -3.

Therefore, the symmetric equations for the line are:

x - 1 = -y / 3 = z - 6 / -3.

(b) To find the points of intersection with the coordinate planes, we set the appropriate variables to zero in the symmetric equations obtained in part (a).

Intersecting with the xy-plane (z = 0):

Substituting z = 0 into the symmetric equations, we have:

x - 1 = -y / 3 = -2.

Solving for x and y, we find:

x = -1, y = -6.

Therefore, the point of intersection with the xy-plane is (-1, -6, 0).

Intersecting with the yz-plane (x = 0):

Substituting x = 0 into the symmetric equations, we have:

-1 / -1 = y + 4 / 3 = z - 6 / -3.

Simplifying, we find:

y = 3, z = 0.

Therefore, the point of intersection with the yz-plane is (0, 3, 0).

Intersecting with the xz-plane (y = 0):

Substituting y = 0 into the symmetric equations, we have:

x - 1 = 0 = z - 6 / -3.

Simplifying, we find:

x = 1, z = 2.

Therefore, the point of intersection with the xz-plane is (1, 0, 2).

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Answer:

f(3) = g(3)

Step-by-step explanation:

when x = 3, f(3) intersects g(3) so g(3) = f(3) = 6

The general vertex form of a quadratic equation is:

where the point (h,k) is the vertex

In the case of

the vertex is located at (3,-2). Also, we can see that a = 2, which is greater than 0, this means that the curve opens up

Answer:

y = 1

x = 4

Step-by-step explanation:

x + 3y = 7 → ( 1 )

2x - y = 7 → ( 2 )

First, let us make x the subject in equation ( 1 ).

x = 7 - 3y  → ( 3 )

Let us find the value of y.

For that let us take equation (1) & replace x with ( 7 - 3y ).

2x - y = 7

2 ( 7 - 3y ) - y = 7

Solve the brackets.

14 - 6y - y = 7

Combine like terms.

14 - 7y = 7

Subtract 14 from both sides.

-7y = 7 - 14

-7y = -7

Divide both sides by -7.

y = 1

Let us find value of x

For that let us take equation (3) & replace y with 1.

x = 7 - 3y

x = 7 - 3 × 1

x = 7 - 3

x = 4

On the factors variable, information was gathered when the age distribution of all the data, expressed in years, with the right tail being longer than the left.

Given that,
On the factors variable, information was gathered.

We have to find which variable is least likely to be modeled by a normal distribution.

We know that,

The normal distribution has the following properties:

i) Symmetric

ii) unimodal

iii)asymptotic

The distribution of ages, in years, of all the residents of a town, where the right tail of the distribution is longer than the left.

This distribution is not symmetric.

It is not a normal distribution.

Therefore, On the factors variable, information was gathered when the age distribution of all the data, expressed in years, with the right tail being longer than the left.

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Answer:

The image point of (4,0) after the rotation of 90° counterclockwise about the origin is (-4,0)

The rate of change of the function that has a graph that passes

through the points (-1, 3) and (-2,-4) is slope and is equal to 7.

We have given two points  (-1, 3) and (-2,-4) .

Rate of change of graph is given by slope

Using slope formula , we get

      m = -4 - 3 / -2 - (-1)

      m = -7 / -2 + 1

      m = -7 / -1

       m = 7

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Answer:75

Step-by-step explanation:

since there are 15 students and they each need 5 plates you just do 15x5 and get 75

The statements that accurately compare the domain and range of the functions are: The domain of all three functions is all real numbers, The range of f(x) and h(x) is all real numbers, but the range of g(x) is all real numbers except 0.

The domain of a function refers to all the possible input values that make the function defined. For the quadratic function f(x) = 3x², there are no values of x that make the function undefined, so the domain of f(x) is all real numbers. To find the range of f(x), we can calculate the vertex of the parabola, which is (0,0). The range of f(x) is all real numbers greater than or equal to zero.

For the quadratic function f(x) = 3x², we can determine the vertex using the formula:

h = -b/2a

In this case, a = 3 and b = 0, so:

h = -0/2(3) = 0/6 = 0

The x-coordinate of the vertex is 0.

To find the y-coordinate, we evaluate the function at the vertex:

f(0) = 3(0)² = 0

So the vertex of the parabola is (0,0).

Since the coefficient of x² is positive, the parabola opens upwards, and the minimum value of the function occurs at the vertex. Therefore, the range of f(x) is all real numbers greater than or equal to zero.

For the rational function g(x) = 1/3x, the function is undefined when the denominator is equal to zero. Thus, we solve for the value(s) of x that make the denominator zero:

3x = 0

Dividing both sides by 3, we get:

x = 0

Therefore, the domain of g(x) is all real numbers except zero. The range of g(x) is all real numbers except zero, since the function cannot equal zero.

For the linear function h(x) = 3x, there are no values of x that make the function undefined. Thus, the domain of h(x) is all real numbers. The range of h(x) is also all real numbers, since the function is a straight line that passes through the origin and extend infinitely in both directions.

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Answer:

(7,8)

Step-by-step explanation:

The point D is (7, 8) for which the given coordinates of A(3, 6), B(5, 2), and C(9, 4), make a square.

It is defined as a two-dimensional geometry that has four sides and four vertices. The sides of the square are equal in length. It is a regular quadrilateral.

Line AB and CD are parallel to each other.

Line AB:

(y- 6) = -2(x-3)

y - 6 = -2x+6

2x+y = 12

Line CD:

2x + y = d

Plug (9,4)

18+4 = d

d = 22

2x + y = 22 ...(1)

Line BC:

(y - 2) = 1/2(x-5)

2y -4 = x-5

-x + 2y = -1

x - 2y = 1

Line AD:

x - 2y = e

3 - 12 = e

e = -9

x-2y = -9 ...(2)

The intersection point of (1) and (2)

x = 7 and y = 8

Thus, the point D is (7, 8) for which the given coordinates of A(3, 6), B(5, 2), and C(9, 4), make a square.

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When dividing numbers, the result should be rounded to the same number of significant figures as the least precise number being divided. In this case, we have two numbers, 6.16781 and 5.10. To calculate the division while considering significant figures, we will divide these numbers and round the result accordingly.

1. Perform the division: Divide 6.16781 by 5.10.

2. Count the significant figures in each number: The number 6.16781 has six significant figures, and the number 5.10 has three significant figures.

3. Determine the number with the fewest significant figures: In this case, 5.10 has the fewest significant figures, which is three.

4. Round the division result to the same number of significant figures as the least precise number: Since 5.10 has three significant figures, round the division result to three significant figures.

5. Perform the division: 6.16781 divided by 5.10 equals 1.20780392157.

6. Round the result to three significant figures: The result, rounded to three significant figures, is 1.21.

By considering the rules of significant figures and rounding the division result to the same number of significant figures as the least precise number, we find that the division of 6.16781 by 5.10 is approximately 1.21.

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Answer:

Step-by-step explanation:

To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:

a) To find the value of \(\sf 3(x - y) \\\):

\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)

b) To find the value of \(\sf 6x - 6y \\\):

\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)

c) To find the value of \(\sf y - x \\\):

\(\sf y - x = - (x - y) = -4 \\\)

Therefore:

a) The value of \(\sf 3(x - y) \\\) is 12.

b) The value of \(\sf 6x - 6y \\\) is 24.

c) The value of \(\sf y - x \\\) is -4.

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