ZA and B are m/A= (2x - 20)° m/B= (3x + 5)° supplementary. Find mA and m/ B.​

The equivalent expression could be 4×3·4×4−s

Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same value for the variable, two algebraic expressions that are equivalent have the same value.

Think about the numbers 3²+1 and 5×2. They both add up to 10. These two expressions are equivalent, so to speak.

Let's now have a look at some expressions with variables, such 5x+2.

It is possible to rewrite the expression as 5x+2=x+x+x+x+x+1+1.

The right side of the equation can be regrouped to 2x+3x+1+1, x+4x+2, or another combination. When the same value is used as x, all of these equations have the same result. These two expressions are equivalent, so to speak.

When two expressions have the same value regardless of the value of the variable(s) they contain, they are said to be equivalent.

Here, 4×3=12 and 4×4=16

therefore, 4×3·4×4−s is equal to the expression 12⋅16−s

4×3·4×4−s and 12⋅16−s  are equivalent expressions.

Hence, The equivalent expression could be 4×3·4×4−s

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The equivalent expression could be 4×3·4×4−s.

Here, 4×3=12 and 4×4=16

therefore, 4×3·4×4−s is equal to the expression 12⋅16−s

4×3·4×4−s and 12⋅16−s  are equivalent expressions.

Hence, The equivalent expression could be 4×3·4×4−s

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The proportions for this problem are given as follows:

a) Took echinacea: 0.27.

b) Having a cold in the last 30 days, of those who took Vitamin C: 0.2679.

c) Took zinc, of those having a cold: 0.1923.

The proportions are calculated as the division of the number of desired outcomes by the number of total outcomes.

The survey is composed by 100 adults, and of those, 27 took echinacea, hence the proportion is of:

27/100 = 0.27.

56 adults took vitamin C, and of those, 15 reported a cold in the last 30 days, hence the proportion is of:

15/56 = 0.2679.

26 students had a cold in the last 30 days, and of those, 5 took zinc, hence the proportion is calculated as follows:

5/26 = 0.1923.

The table is given by the image shown at the end of the answer.

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The value of x and z are x° = 6.71°, z° = 75.26° simulataneously,

What is the linear pair angles?

Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°.

We have,

Angles:

6x° + 35°

z°

8x° + 51°

To find the values of x and z

from the given figure

Linear pair angles:

6x° + 35° + 8x° + 51° = 180

14x° + 86° = 180

14x° = 180° - 86°

14x° = 94°

x° = 94°/14°

x° = 6.71°

Vertically opposites angles are equal

6x° + 35° = z°

z° =  6( 6.71°)° + 35

z° = 40.26 + 35

z° = 75.26°

Hence, the value of x and z are x° = 6.71°, z° = 75.26° simulataneously.

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To find the mean weight of the 19 apples in the bag, we can set up the following equation:

(mean weight of apples in bag) * (number of apples in bag) + (mean weight of apples in box) * (number of apples in box) = (combined mean weight) * (total number of apples)

Substituting in the given values, we get:

(mean weight of apples in bag) * 19 + 108 * 16 = 102 * 35

Solving for the mean weight of apples in the bag, we get:

(mean weight of apples in bag) = (102 * 35 - 108 * 16) / 19

= (3570 - 1728) / 19

= 1842 / 19

= 96.84 grams

Therefore, the mean weight of the 19 apples in the bag is approximately 96.84 grams.

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The true option is D

The intersection of angle bisectors are equidistant from the sides of the triangle

The intersection of all three of the triangle's interior angle bisectors is where a triangle's incenter is located. It can be thought of as the intersection of the triangle's internal angle bisectors.

According to the angle bisector theorem, a point is equally distant from both sides of an angle if it is on the angle's bisector.

According to the converse of the angle bisector theorem, a point is on the angle's bisector if it is both in the interior of the angle and equally distant from its sides.

According to the given information

Angle bisector intersection points are evenly spaced from the triangle's sides.

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The correct five-number summary for the given data set is:
Minimum: 90
Q1: 128
Median: 153.5
Q3: 173
Maximum: 190

The five-number summary is a descriptive statistical tool that provides a summary of the central tendency, variability, and distribution of a data set. It consists of five key values that are calculated from a given set of data.

Here,

To calculate the five-number summary, you need to order the data set from smallest to largest, and then find the minimum, maximum, median, and quartiles (Q1 and Q3).

In this case, the data set ordered from smallest to largest is:

90, 128, 145, 162, 173, 190

The minimum is 90, the maximum is 190, the median is the average of the middle two values (which is (145 + 162) / 2 = 153.5), and the first quartile (Q1) is the median of the lower half of the data (which is 128), and the third quartile (Q3) is the median of the upper half of the data (which is (173).

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Answer:

x = -1

Step-by-step explanation:

To solve this equation, you can use the process of polynomial algebra.

First, you can rearrange the terms on the left side of the equation so that all the terms with an x^2 coefficient are on one side and all the other terms are on the other side. You can do this by adding x^2 to both sides of the equation:

5x^2 - 2x - 6 + x^2 = -x^2 + 6x + x^2

This gives you:

6x^2 - 2x - 6 = 6x

Now, you can rearrange the terms on the right side of the equation in the same way:

6x^2 - 2x - 6 = 6x^2 - 6x

To solve for x, you can now use the process of polynomial algebra to combine like terms on each side of the equation. This gives you:

6x^2 - 2x - 6 = 6x^2 - 6x

Combining like terms on the left side of the equation gives you:

6x^2 - 6x - 6 = 6x^2 - 6x

Combining like terms on the right side of the equation gives you:

6x^2 - 6x - 6 = 6x^2 - 6x

Now, you can subtract 6x^2 - 6x from both sides of the equation to obtain:

-6x - 6 = 0

Dividing both sides of the equation by -6 gives you:

x + 1 = 0

Finally, you can solve for x by subtracting 1 from both sides of the equation, which gives you:

x = -1

Therefore, the solution to the original equation is x = -1.

The remainder of polynomial g(x) divides (x - 3) that is  g(x) / (x - 3) is 0.

What is polynomial?

A polynomial is a mathematical expression made up of variables, constants, and exponents that are combined using addition, subtraction, multiplication, and division operations.

Given: g(x) = 2x^3 + 5x^2 - 28x - 15

(x - 3) is a factor of g(x).

We have to find the remainder of g(x) / (x - 3).

Consider,

                 2x^2 + 11x + 5

         [tex]\sqrt[(x-3)]{2x^3+5x^2 -28x -15}[/tex]

          -    2x^3 -6x^2

____________________________

                      11x^2 - 28x

               -      11x^2 - 33x

____________________________

                               5x - 15

                          -    5x - 15

_______________________________

                                      0

Hence, the remainder of polynomial g(x) divides (x - 3) that is

g(x) / (x - 3) is 0.

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Answer: i think its A

Step-by-step explanation: hope this helped

Answer: (6, -1)

Step-by-step explanation:

<3

The value of baseball card has increased by 160(%) percentage.

What is the percentage?

A number or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word per cent means. The letter "%" stands for it.

Increase = New Number - Original Number

Then: we divide the increased number by the original number and multiply by 100.

Therefore, % increase = (Increase ÷ Original Number)× 100.

Given, the new price of a baseball card = $13

The original price of a baseball card = $5

Then from the above definition,

Increase = 13-5 = 8

% increase = (8/5)*100 = 160%

Hence, its value has increased by 160 percentage.

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The domain of the function is { (x, y) ∈ R² | x² + y² ≥ 1 }

What is Domain of function?

A function's domain is the collection of all potential inputs. For instance, all real numbers are in the domain of f(x)=x², and all real numbers are in the domain of g(x)=1/x, with the exception of x=0. Special functions with more constrained domains can also be defined.

According to question

⇒ [tex]z = e^{\sqrt{x^{2}+ y^{2} -1 } }[/tex]

⇒ x² + y² - 1 ≥ 0

 ⇒ x² + y² ≥ 1

Hence, the Domain of f(x, y) is  { (x, y) ∈ R² | x² + y² ≥ 1 }

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Using the z-distribution, the 99% confidence interval for the true population mean textbook weight is ( 89.772 , 64.228 )

The confidence interval is:

= μ ± z ( σ / [tex]\sqrt{n}[/tex] )

Where,

μ X is the sample mean.

z is the critical value.

n is the sample size.

σ is the standard deviation for the population.

In this problem, we have a 99% confidence level, hence [tex]\alpha =0.99[/tex] , z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2}[/tex] = 0.995,

So the critical value z- distribution is z = 2.575.

The other parameters are given as follows:

Mean μ = 77

Standard deviationσ = 7

Sample size two side n = 2

Hence the lower and upper bound of the interval are given, respectively, by:

= μ ± z ( σ / [tex]\sqrt{n}[/tex] )

= μ + z ( σ / [tex]\sqrt{n}[/tex] )   ,     μ - z ( σ / [tex]\sqrt{n}[/tex] )

= 77 + 2.575 ( [tex]\frac{7}{\sqrt{2} }[/tex] ) ,    77 - 2.575 ( [tex]\frac{7}{\sqrt{2} }[/tex] )

= 77 + 2.575 ( [tex]\frac{7}{1.41}[/tex] ) ,   77 - 2.575 ( [tex]\frac{7}{1.41}[/tex] )

= 77 + 2.575 ( 4.96 ) , 77 - 2.575 ( 4.96 )

= 77 + 12.772 ,             77 - 12.772

= ( 89.772 , 64.228 )

Therefore,

Using the z-distribution, the 99% confidence interval for the true population mean textbook weight is ( 89.772 , 64.228 )

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Answer:

A,D,E

Step-by-step explanation:

A:

14/4 = 3.5

D:

7/2 = 3.5

E: 14/4 = 3.5

The constant of proportionality for the table is 3.5. Any other table that satisfies the equations x/y = 3.5 will have the same constant of proportionality.

To find the constant of proportionality, we can divide the y-values by the corresponding x-values and see if they are the same for all given points. In this case, if we divide 24.5 by 7, we get approximately 3.5. If we divide 31.5 by 9, we also get approximately 3.5. Therefore, the constant of proportionality is 3.5 for this table.

Now, we need to find the relationships that have the same constant of proportionality.

For example, if we have a table with the following values:

x1 y1

x2 y2

x3 y3

and the constant of proportionality is k, then we have the following equations:

x1/ y1 = k

x2/ y2 = k

x3/ y3 = k

So, any other table that satisfies these equations will have the same constant of proportionality as the given table.

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Answer:

81

Step-by-step explanation:

y = -9

y² = (-9)² = 81

C (5,24) ordered pair represents the ratio that is not equivalent to the others.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Consider first pair A, the ratio is given  by

2/12 = 1/6

Consider next pair B, the ratio is given  by

3/18 = 1/6

Consider next pair C, the ratio is given  by

5/24 is not equat to 1/6

Consider next pair D, the ratio is given  by

6/36 = 1/6

Hence, the ordered pair represents a ratio that is not equivalent to the others is C (5,24).

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Since, We catch the other car if our speed of our car is 60mph.

When you catch up, the distance traveled is the same

Let us consider x as the velocity.

Therefore, our velocity is x + 10

We know that:

Distance = rate x time

According to the question:

r = uncle's rate

30 min = 30/60 hr = uncle's time

25 min = 25/60 hr =  your time

and

Uncle's distance = Your distance

Now,

(r)(30/60) = (r + 10)(25/60)

⇒ (r)(1/2) = (r + 10)(5/12)

⇒ r/2 = 5r/12 + 50/12  

⇒ 6r = 5r + 50

⇒ r = 50  

Now,

Uncle's rate = 50 mph

and, putting the values:

Your rate = 50 + 10 = 60 mph

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The matrix that can be multiplied to the left of a vector matrix to produce another vector matrix given as follows:

A. [2;5].

A matrix is also called a vector matrix when it has either only one row or only one column.

In multiplication of matrices, the rows of the left matrix are multiplied by the columns of the right matrix, and the dimensions are given as follows:

The matrix in this problem that we are going to multiply is the right matrix, meaning that we want a matrix with one column, and more than one row, which is given by option A.

(a matrix with only one element, as is the case for option D, is not considered a vector matrix).

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The sales that Doug makes in the week is $3200.

From the information illustrated, Doug is a salesperson in a retail store and earns $75 per week plus 15% of his weekly sales and Doug makes $555 one week.

Let the sales be represented by x.

Based on the information, this will be:.

75 + (15% × x) = 555

75 + 0.15x = 555

Collect like terms

0.15x = 555 - 75

0.15x = 480

Divide

x = 480 / 0.15

x = 3200

The sales is $3200.

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The graph of the equation, y = -19x + 10 is shown below.

If the equation of a line is expressed in slope-intercept form as y = mx + b, it means that:

Given a line has the equation, y = -19x + 10, therefore;

the slope (m) = -19.

the y-intercept (b) = 10.

Therefore, the graph of the line is shown in the attachment below and it cuts the y-axis at 10.

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Answer:

80 kg

Step-by-step explanation:

To find the mass of the skater, you can use the formula for centripetal force:

F_centripetal = m * v^2 / r

Where F is the centripetal force, m is the mass of the object, v is the velocity of the object, and r is the radius of the circular path.

Plugging in the values you know, you get:

720 N = m * (15 m/s)^2 / 25 m

Solving for m, you find that the mass of the skater is:

m = 720 N * 25 m / (15 m/s)^2

= 720 N * 25 m / 225 m^2/s^2

= 80 kg

So the mass of the skater is approximately 80 kilograms.

Answer:

0.043

Step-by-step explanation:

I hope this helps you! Let me know if you have any questions! :)

Sample is biased. Based on her findings, Arianna revealed the percentage in her state after polling 600 residents of her city. Thus, the sample fails to accurately reflect the population. Option (4) is correct.

When some members of a population are systematically more likely to be chosen in a sample than others, this is known as sampling bias. What makes sampling bias significant? Sampling bias poses a risk to external validity since it restricts the applicability of your findings to a larger population. When some population members have a higher or lower sampling probability than others, the sample is biased.

This includes choosing or sampling people according to their hobbies, gender, or age. Therefore, a fair or impartial sample must be representative of the entire population under investigation. When a research study design fails to gather a representative sample of a target population, the phenomenon known as sampling bias takes place. This usually happens as a result of the respondents' selection criteria not capturing a broad enough sampling frame to include all points of view.

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Correct Question:

Arianna collected data from a random sample of 600 people in her city asking whether or not they bike to work. Based on the results, she reports that 44% of the people in her state bike to work. Why is this statistic misleading?

Select the correct answer below:

1. The statistic contains a calculation error.

2. The sample is self-selected.

3. The data contains an outlier.

4. The sample is biased.

Answer:

3. 32, 28, 30

4. 38, 142

Step-by-step explanation:

3. (x + 3) + (x - 1) + (x + 1) = 90

3x + 3 = 90

3x = 87

x = 29

angle 1: x + 3 = 29 + 3 = 32

angle 2: x - 1 = 29 - 1 = 28

angle 3: x + 1 = 29 + 1 = 30

4. x + (x + 104) = 180

2x + 104 = 180

2x = 76

x = 38

angle 1: x = 38

angle 2: x + 104 = 38 + 104 = 142

Answer: 1

Yessssssssssssssss

The equation of the line that passes through point (8, -7) and parallel to the line x + 2y = 18 is

A linear function consists of functions where the variables has exponents of 1.

The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

definition of variable

y = output variable

m = slope

x = input variable

c = y intercept

x + 2y = 18

rewriting gives : y = -x/2 + 9

when the line is parallel the slope is equal hence the slope of the line is -1/2.

using the point slope formula for point (8, -7) which is

(y - y') = m(x - x')

(y + 7) = -1/2(x - 8)

y + 7 = -x/2 + 4

y = -x/2 - 3

the equation of the line is y = -x/2 - 3

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Explanation:

x = amount she travels on each of those three remaining days

3x = total amount traveled over those three remaining days

3x+24 = total amount traveled over the four days

3x+24 = 120 miles total

This equation is in the form px+q = r where:

Let's solve for x. We follow PEMDAS in reverse to undo what's happening to x, so we can isolate it.

3x+24 = 120

3x+24-24 = 120-24 .... subtract 24 from both sides

3x = 96

3x/3 = 96/3 .... divide both sides by 3

x = 32

Triana must travel 32 miles per day for those remaining three days.

Doing so means she travels 3x = 3*32 = 96 miles over those three remaining days. Then add on those 24 miles traveled on the first day to get 96+24 = 120 miles total. This helps confirm the answer.

Another way to confirm the answer is to plug x = 32 into 3x+24 = 120. After simplifying both sides, you should get 120 = 120 which is a true statement.

Answer:

Below

Step-by-step explanation:

A line with slope = 0 is a horizontal line

 for y = mx + b form this would be

   y = (0)* x  + 10

   y = 10

Answer:

Step-by-step explanation:

Dallas = 1 x 10^6

Los Angeles = 3 times Dallas = 3 [ 1 x 10^6] = 3 x 10^6

Pittsburgh / Dallas = [ 3 x 10^5 ] / [ 1 x 10^6] = 3 / 10 that of Dallas