reflect across the line x=-3​

Answer:

(0,3)

Step-by-step explanation:

on the y-axis, the point is 3 points above 0 so its (0,3)

Answer:

(0,3)

Step-by-step explanation:

y - intercept is where the line intersects the y-axis and that is at the point (0,3)

Answer:510

Step-by-step explanation:Can double check internet

In multiple regression analysis, the correlation among the independent variables is termed as d. multicollinearity.

Basically, multiple regression analysis means a statistical technique that can be used to analyze the relationship between a single dependent variable and several independent variables.

If the independent variables of the regression analysis is correlated, the it is called as multicollinearity.

Therefore, the option (d). multicollinearity is the answer

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The number of more workers required that the work will finish in 24 days will be equal to 3 workers.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

12 workers can finish the work in 30 days.

Let the number of more men be x that the work will be finished in 24 days.

Use the man-days concept.

M₁ D₁ = M₂D₂

Here, M₁ and M₂ are the numbers of men, and D₁ and D₂ are the numbers of days.

12 × 30 = x × 24

x = (12 × 30)/24

x = 15

So, the number of extra men is,

15 - 12 = 3 workers.

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Answer: B. 128a⁶b¹³

Step-by-step explanation:

The area of the rectangle with the dimensions shown below represents :

\((2a^2b)^3*(4b^5)^2=\\\\2^3a^{2*3}b^3*4^2b^{5*2}=\\\\8a^6b^3*16b^{10}=\\\\(8*16)a^6b^{3+10}=\\\\128a^6b^{13}\)

The equation of the plane orthogonal to line l(t)=(2t+1,−3t+2,4t) and containing the point P=(3,1,1) is given by 2(x−3)−3(y−1)+4(z−1)=0.

Equation of the plane passing through points P=(2,1,0),Q=(-1,1,1) and R=(0,3,5)

A plane can be uniquely defined by either three points or one point and a normal vector. To find the equation of a plane, we need to use the cross-product of two vectors that are parallel to the plane. We can find two vectors using any two points on the plane.

Now, we have a normal vector and a point, P=(2,1,0), on the plane. The equation of the plane can be written using the point-normal form as:

→→n⋅(→→r−P)=0where

→→r=(x,y,z) is any point on the plane.

Substituting the values of →→n, P, and simplifying,

we get the equation of the plane as:

−10(x−2)+13(y−1)+6z=0

The equation of the plane passing through points P=(2,1,0),Q=(-1,1,1) and R=(0,3,5) is given by -10(x−2)+13(y−1)+6z=0

The equation of the plane orthogonal to line l(t)=(2t+1,−3t+2,4t) and containing the point P=(3,1,1) is given by 2(x−3)−3(y−1)+4(z−1)=0.

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Answer:

it is y=x +1

as i think

good luck

The break-even point for the given equation c = 15n + 269,000  , r = 95n  representing cost and revenue is equal to Option c. 3363units ( round up to nearest whole unit ).

As given in the question,

Cost equation is represented by :

c = 15n + 269,000

Revenue equation is given by ;

r = 95n

For the break-even point the cost is always equal to the revenue as there is no profit no loss.

c = r

15n + 269,000 = 95n

⇒ 95n - 15n = 269,000

⇒ 80n = 269,000

⇒ n = 269,000 / 80

⇒ n = 3362.5

⇒ n = 3363 units ( round up to nearest whole unit )

Therefore, the break-even point for the given cost and revenue is equal to Option c.  3363units ( round up to nearest whole unit ).

The above question is incomplete , the complete question is:

Find the break-even point for the given cost and revenue equations. round to the nearest whole unit. c = 15n + 269,000  , r = 95n

a. 80                          c. 3363        

b. 2445                      d. 110

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Answer:

(3,4)

Step-by-step explanation:

Answer:

the answer is 50

Step-by-step explanation:

each day it is adding 4 so by the 7th day it will be 50

A 95% confidence interval for percent of american adults who believe in aliens:  (0.6578, 0.7822)

In this question we have been given that in a survey conducted on an srs of 200 american adults, 72% of them said they believed in aliens

We need to find the 95% confidence interval for percent of american adults who believe in aliens.

95% confidence interval = (p ± z√[p(1 - p)/n])

Here, n = 200

p = 72%

p = 0.72

And the z-score for 95% confidence interval is 1.960

The upper limit of interval would be,

(p + z√[p(1 - p)/n])

= 0.72 + 1.960 √[0.72(1 - 0.72)/200]

= 0.72 + 1.960 √[(0.72 * 0.28)/200]

= 0.72 + 1.960 √0.001008

= 0.72 + 0.0622

= 0.7822

The lower limit of interval would be,

(p - z√[p(1 - p)/n])

= 0.72 - 1.960 √[0.72(1 - 0.72)/200]

= 0.72 - 1.960 √[(0.72 * 0.28)/200]

= 0.72 - 1.960 √0.001008

= 0.72 - 0.0622

= 0.6578

Therefore, a 95% confidence interval = (0.6578, 0.7822)

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Answer:

1:  12x + 8                  

2:  21y  - 3

3:  15p + 20r

Step-by-step explanation:

Answer:

A ratio of 3:1 means that there are 4 parts altogether. The fractions from the ratio can therefore be deduced as. 43 and 41. These represent the percentages: 75%:25%

Answer:

Step-by-step explanation:

The ratio can be converted into a fraction

therefore we can divide by the denominator in order to convert 30 Euros to a 3:1 ratio.

The fraction =3/4 and 1/4

so we have to divide 30 by 4

= 7.5 Euros

so;

3:1

(22.5):(7.5)

(45/2):(15/2)

45:15

divide by 15

3:1

The present ages of the father and son are 36 and 9, respectively.

The sum of the ages of a father and son is 45 years. Five years ago, the product of their ages was four times the father's age at that time. To find the present ages of the father and son, we can set up a system of equations.

Let's denote the present ages of the father as "F" and the present age of the son as "S".

From the information given, we have two equations:

Equation 1: F + S = 45 (The sum of their ages is 45)
Equation 2: (F - 5)(S - 5) = 4(F - 5) (Five years ago, the product of their ages was four times the father's age at that time)

To solve this system of equations, we can use substitution or elimination method.

Let's solve it using the substitution method:

From Equation 1, we can express F in terms of S: F = 45 - S

Now, substitute F in Equation 2 with 45 - S:

(45 - S - 5)(S - 5) = 4(45 - S - 5)

Simplify the equation:

(40 - S)(S - 5) = 4(40 - S)

Expand and simplify:

40S - 5S - 200 + 25 = 160 - 4S

Combine like terms:

35S - 175 = 160 - 4S

Add 4S to both sides:

35S + 4S - 175 = 160

Combine like terms:

39S - 175 = 160

Add 175 to both sides:

39S = 335

Divide both sides by 39:

S = 335/39

Simplify:

S ≈ 8.59

Since age cannot be in decimal places, we can approximate the son's age to the nearest whole number:

S ≈ 9

Now, substitute S = 9 into Equation 1 to find the father's age:

F + 9 = 45

Subtract 9 from both sides:

F = 45 - 9

F = 36

Therefore, the present ages of the father and son are 36 and 9, respectively.

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Answer:

3(3 - 4x + 2y).

Step-by-step explanation:

Notice that 3 is a factor of 9, -12 and 6.  

There's no other "common factor."

Therefore, the GCF is 3 and in factored form the given polynomial is

3(3 - 4x + 2y).

Answer: \(3\left(3-4x+2y\right)\)

Step-by-step explanation:

\(3\cdot \:3+4\cdot \:3x+2\cdot \:3y\)

\(3\left(3-4x+2y\right)\)

Answer:

  4,834

Step-by-step explanation:

  $14,500/($3 / pizza) = 4833.3 pizzas

MOD Pizza must sell 4,834 pizzas to cover the cost of the oven.

Answer:

504 km

Step-by-step explanation:

The power to which a number or expression is raised is called the exponent.

1. An exponent is a mathematical notation that represents the power to which a number or expression is raised. It is written as a superscript number or variable placed above and to the right of the base number or expression.

2. The base number or expression is the number or expression that is being multiplied repeatedly by itself, raised to the power of the exponent.

3. The exponent tells us how many times the base number or expression should be multiplied by itself. For example, in the expression \(2^3\), the base is 2 and the exponent is 3. This means that 2 should be multiplied by itself three times: 2 * 2 * 2 = 8.

4. The exponent can be a positive whole number, a negative number, zero, or a fraction. Each of these cases has different interpretations:

  - Positive exponent: Indicates repeated multiplication. For example, \(2^4\)means 2 multiplied by itself four times.

  - Negative exponent: Indicates the reciprocal of the base raised to the positive exponent. For example, \(2^{-3\) means 1 divided by \(2^3\).

  - Zero exponent: Always equals 1. For example, \(2^0\) = 1.

  - Fractional exponent: Represents a root. For example, \(4^{(1/2)\)represents the square root of 4.

5. Exponents follow certain mathematical properties, such as the product rule \((a^m * a^n = a^{(m+n)})\), the quotient rule \((a^m / a^n = a^{(m-n)})\), and the power rule \(((a^m)^n = a^{(m*n)})\).

Remember to use these rules and definitions to correctly interpret and evaluate expressions involving exponents.

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Given:

Total student = 50

each row has 6 students.

Find-:

Solve the question using the divisibility test.

Sol:

In row six student

then:

So a total of 8.33 rows in a class.

The statement given "regression equations are usually used to predict values of unavailable data. if the data do not closely model a particular type of function, then that type of function is not appropriate to use in statistical regression. the more closely data fit a model, the more predicted values will be." is true because regression equations are indeed employed for predicting values of unavailable data.

Regression equations are commonly utilized to make predictions for unavailable data. When the data does not closely conform to a specific type of function, that function is deemed inappropriate for statistical regression. The accuracy of predicted values is contingent on the degree of resemblance between the data and the chosen model. Hence, a strong fit between the data and the model enhances the reliability of predicted values, ensuring that regression analysis is effectively applied for making accurate predictions.

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To determine the number of rows tall the bar for the number of people who take the bus should be on the bar chart, we need to consider the frequency of people who take the bus.

According to the given data:

Method of Travel: Car, Bike, Walk, Bus, Train

Frequency: 13, 16, 4, 10, 8

The bar chart will have the frequency values on the vertical axis. We need to find the frequency value for the "Bus" category.

From the given data, the frequency for the bus is 10.

Therefore, the bar for the number of people who take the bus should be 10 rows tall on the bar chart.

\(\displaystyle\ 2x^2+7x+5\sqrt{2} =0 \\\\\boxed{D=7^2-4\cdot2\cdot 5\sqrt{2} =49-40\sqrt{2} }\)

The transformation can be categorized by the dimensions of the operand sets, distinguishing between planar transformations and spaces. They can also be classified on their properties.

The  types of transformations are:

Dilation The image is a larger or smaller version of the preimage; "shrinking" or "enlarging."

Reflection The image is a mirrored preimage; "a flip."

Rotation The image is the preimage rotated around a fixed point; "a turn."

Shear All the points along one side of a preimage remain fixed while all other points of the preimage move parallel to that side in proportion to the distance from the given side; "a skew.,"

Translation The image is offset by a constant value from the preimage; "a slide."

Rigid transformation

When creating the image, a rigid transformation does not alter the preimage's size or shape. There are three stiff transformations.

Reflection, rotation, and translation are examples of stiff transformations. These changes have no effect on the size or shape of the resulting image.

Non rigid transformations

The preimage's size, shape, or both can be altered using a non-rigid transformation.

Shear and dilation are two non-rigid transformations. The transformation will alter either the size, the shape, or both of the original images.

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Answer:

$467.5

Step-by-step explanation:

15%=15/100=0.15

0.15*the original price=82.5

john will pay $550-$82.5=$467.5

Answer:

\(\frac{29}{3}\)

Step-by-step explanation:

9*3+2

The equation to predict how many hours, x, the second part of the trip will take is :x = (total distance - distance traveled in the first part) / average speed x = (125 - 75) / 50  x = 1

To predict how many hours, x, the second part of the trip will take, we can use the equation:

x = (total distance - distance traveled in the first part) / average speed

In this case, the total distance of the trip is 125 miles, and the distance traveled in the first part is the product of the average speed and the time taken for the first part, which is 50 miles/hour * 1.5 hours = 75 miles.

Substituting these values into the equation, we have:

x = (125 - 75) / 50

Simplifying the equation, we get:

x = 50 / 50

x = 1

Therefore, the equation to predict how many hours, x, the second part of the trip will take is:

x = (total distance - distance traveled in the first part) / average speed

x = (125 - 75) / 50

x = 1

This means that the second part of the trip will take 1 hour to complete after the bus stops to refuel.

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The predicted population of Mexico in 2020 using continuous compounding is approximately 141,677,273.

To predict the population of Mexico in 2020 using continuous compounding, we need to use the continuous growth formula:

A = Pe^(rt)

Where A is the population at time t, P is the initial population, e is Euler's number (approximately equal to 2.71828), r is the annual growth rate (in decimal form), and t is the time in years.

We can calculate the annual growth rate as follows:

r = ln(P2/P1)/(t2 - t1)

r = ln(109955400/100349766)/(8-0)

r = 0.0121

Where P1 and t1 represent the population and time in 2000, P2 and t2 represent the population and time in 2008.

Now we can use this growth rate to predict the population in 2020:

A = 100349766 * e^(0.0121*20)

A ≈ 141,677,273

Therefore, the predicted population of Mexico in 2020 using continuous compounding is approximately 141,677,273.

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Answer:

M<C = 20°

Step-by-step explanation:

Because they’re vertical angles, that means they’re equal to each other so:

m<C = m<D

x = -3x + 80

x + 3x = 80

4x = 80

x = 20

Since m<C equals x, that means m<C is 20°

The set of real numbers includes both rational and irrational numbers.


1. Real numbers: Real numbers include all rational and irrational numbers. They can be represented on a number line and are not limited to whole numbers or integers.

2. Rational numbers: Rational numbers are numbers that can be expressed as a fraction or a ratio of two integers. They can be written in the form a/b, where a and b are integers and b is not equal to 0. For example, 3/4, -2/5, and 0.6 are all rational numbers.

3. Irrational numbers: Irrational numbers are numbers that cannot be expressed as a fraction or a ratio of two integers. They cannot be written in the form a/b. Examples of irrational numbers include √2, π (pi), and e.

Therefore, the set of real numbers includes both rational and irrational numbers.

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