find the equation of the line that passes through the point (1,8) and is parallel to the line y=3x+6. write the equation using the​ slope-intercept form.

There are 35 students that have only dogs

What is subset?

If every element of set A is also an element of set B, then set B is a superset of set A and set A is a subset of set B. A and B could be equal; if they are not, then A is a legitimate subset of B. Include refers to the property that one set is a subset of another.

Total students =350

Cats only student = 175

Having both pets student= 140

Students having dog= 350- 175 = 175

Dogs only student = 175 - 140 = 35

So, There are 35 students which have dog only.

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Answer:

  yes

Step-by-step explanation:

You want a graph of P = 125 +50W.

The given equation is in slope-intercept form. The independent variable is W, and the dependent variable is P.

Usually, the independent variable is graphed on the horizontal axis, which you have done.

The dependent variable is graphed on the vertical axis, which you have done.

The axes are correctly labeled and graduated.

The "y-intercept" (P value) when the independent variable is zero is the constant in the equation, 125. You have correctly shown that on the graph.

The slope of the line is the coefficient of the independent variable (W) in the equation. You have correctly shown that P increases by 50 when W increases by 1.

Yes, you properly graphed the equation.

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The proportion of those surveyed who chose basketball as their favorite sport is 34.149 (option a)

Let's denote the proportion of adults who chose basketball as their favorite sport as P(Basketball). To calculate P(Basketball), we need to divide the total number of adults who chose basketball by the total number of surveyed adults. Mathematically, it can be represented as:

P(Basketball) = (Number of adults who chose basketball) / (Total number of surveyed adults)

To calculate the number of adults who chose basketball, we sum up the values from the age range categories:

Number of adults who chose basketball = Number of adults (18-30) who chose basketball + Number of adults (31-50) who chose basketball + Number of adults (51 and above) who chose basketball

Looking at the table, we find that the number of adults (18-30) who chose basketball is 15, the number of adults (31-50) who chose basketball is 8, and the number of adults (51 and above) who chose basketball is 11. Adding these values together, we get:

Number of adults who chose basketball = 15 + 8 + 11 = 34

Now, let's calculate the total number of surveyed adults. We can sum up the values from the age range categories:

Total number of surveyed adults = Total number of adults (18-30) + Total number of adults (31-50) + Total number of adults (51 and above)

From the table, we find that the total number of adults (18-30) is 49, the total number of adults (31-50) is 48, and the total number of adults (51 and above) is 52. Adding these values together, we get:

Total number of surveyed adults = 49 + 48 + 52 = 149

Now, we have the values we need to calculate the proportion:

P(Basketball) = (Number of adults who chose basketball) / (Total number of surveyed adults)

= 34 / 149

Hence the correct option is (a).

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Let's call x the cost of the desktop. So, the cost of the laptop would be x-400 because it costs $400 less than the desktop.

Then, we express the following based on the given information.

Note that we use the percentages as their decimal expression. Let's solve for x.

The cost of the desktop is $3,200.

The cost of the laptop is $2,800.

Biases can reduce the generalizability of the survey results, and the findings cannot be used to draw reliable conclusions about the perceptions of French people's friendliness by visitors from other countries.

The survey conducted by American Express and the French tourist office on the visitors' perception of French people's friendliness has a bias of self-selection or volunteer bias since it only considers visitors who have visited France more than once for pleasure over the past two years. This bias of self-selection means that people who chose to participate in the survey tend to have pre-existing beliefs or perceptions that may be significantly different from the general population, which makes the survey not representative of the entire population. Moreover, the sample size of 1,000 is very small for the French population, and the survey respondents are entirely American, which introduces another bias: cultural bias. These biases can reduce the generalizability of the survey results, and the findings cannot be used to draw reliable conclusions about the perceptions of French people's friendliness by visitors from other countries.

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tried my best to show the steps!! all i did was isolate to find the missing widths attached to the respective lengths (divided surface area by width) and then multiply both sides by two and add them together to find the perimeter.

The dimensions of the garden that would require the least amount of fencing are 6 ft in length and 6 ft in width.

The dimensions are the sides of a geometric shape.

The lengths of the three gardens are given as 6 ft, 9 ft, and 12 ft respectively.

If the area of the garden is 36 feet squared, then the widths for the three lengths will be as follows:

The width of the garden with a length of 6 ft \(= \dfrac{36}{6} = 6\ ft\)

The width of the garden with a length of 9 ft \(= \dfrac{36}{9} = 4\ ft\)

The width of the garden with a length of 6 ft \(= \dfrac{36}{12} = 3\ ft\)

The parameters are calculated as:

The parameter of the garden with dimensions (6 ft, 6 ft) = 2(6 + 6) = 24 ft

The parameter of the garden with dimensions (9 ft, 4 ft) = 2(9 + 4) = 26 ft

The parameter of the garden with dimensions (12 ft, 3 ft) = 2(12 + 3) = 30 ft

The least of the parameter is of the garden with dimensions (6 ft, 6 ft).

Thus, the garden with dimensions (6 ft, 6 ft) would require the least amount of fencing.

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Julie has only 23.79 seconds left to match the record.

We know that times deals with a continued sequence of existence and events that occurs in an apparently irreversible succession from the past

From the question, the given times are:

Time to match Lisa's record = 74.6 seconds

Time to clin the wall = 10.56 seconds

Time already spent on climbing wall = 4.025 seconds

Time left is calculated thus

74.600 seconds =(40.025+10.56) seconds

=74.600-50.585

=23.79 seconds

Therefore time left is 23.79 seconds

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The equations have a solution of x = 6 and y = 8.

We will initially tackle one condition for one factor and afterward substitute that articulation into the other condition to utilize the replacement technique to settle the arrangement of conditions.

Let's begin with the fundamental condition: Y = (1/2)x + 5. By isolating it on one side, we can solve this equation for Y:

We will currently substitute method this articulation for Y in the subsequent condition: Y = (1/2)x + 5 2y = 2x + 4.

2(1/2)x + 5 = 2x + 4, which makes the equation easier to understand:

Isolating x from one side of the equation is the next step: x + 10 = 2x + 4. We acquire: by removing x from each side.

Since we have 10 = x + 4, we can take away 4 from the two sides to get:

6 = x We have discovered that the value of x is 6. To determine the value of y, we return this value to the initial equation:

Because Y = (1/2)(6) + 5 Y = 3 + 5 Y = 8, the equations have a solution of x = 6 and y = 8.

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Answer:

A.

Step-by-step explanation:

process of elimination. They sold half as many strawberries as peaches.

Answer: 60 %

Step-by-step explanation:

Percentage of students passed the test = (number of students who passed the test / total number of students) x 100

                                                                     = 30 / 50 x 100 % = 60 %

Answer:

The first one is already giving to us YYY so

the answer is GGG,YGY,GYG,YYG,GGY,YGG,GYY

Step-by-step explanation:

If the right hand side of the equation is non-negative real number, the equation will have two solution that include all real numbers.

An absolute value equation of the form |x| = k (where k is a constant) will have two solutions, one positive and one negative, that are the same distance from 0 on the number line.

To determine if the solutions of the equation include all real numbers, you can examine the value of k. If k is a non-negative real number, then the two solutions of the equation will include all real numbers, because any real number is either positive or negative and the same distance from 0 as k.

For example, if the equation is |x| = 5, the two solutions of the equation are x = 5 and x = -5, which include all real numbers.

On the other hand, if k is a negative real number or a complex number, the equation is not valid and there are no solutions.

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Answer:

12 cups of salad

Step-by-step explanation:

Let the unknown cups of salad in the mixture be x( unknown cup in 55% mixture)

Thus, we have the following expression that shows the number of salad in the resulting mixture;

4(40%) + x(55%) = (4+x)(50%)

= 0.4(4) + x(0.55) = 0.5(4 + x)

= 1.6 + 0.55x = 0.2 + 0.5x

0.2 -1.6 = 0.55x-0.5x

0.4 = 0.05x

x = 0.4/0.05

x = 8 cups of salad

So the number of salad cups in the resulting mixture = x + 4 = 8 + 4 = 12 cups of salad

Answer:

12

Step-by-step explanation:

yes

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Cost per bracelet = 1.50

Cost per necklace = 2.25

Let :

number of necklace = n

Number of bracelet = b

Cost equation C ;

C = 1.5b + 2.25n

Number of necklace that could be sold for exactly $12

5 necklaces and 1 bracelet :

1.5 + 2.25(5) = 12.75

•2 necklaces and 5 bracelets:

1.5(5) + 2.25(2) = 12

• 3 necklaces and 3 bracelets

1.5(3) + 2.25(3) = 11.25

• 4 necklaces and 2 bracelets

1.5(2) + 2.25(4) = 12

• 3 necklaces and 5 bracelets

1.5(5) + 2.25(3) = 14.25

• 6 necklaces and no bracelets •

1.5(0) + 2.25(6) = 13.5

No necklaces and 8 bracelets

1.5(8) + 2.25(0) = 12

Amount charged per Tshirt = c

Setup fee = $40

Number of students in drama club = 21

Total cost of order = $187

Calculate C ;

Total order cost = set up fee + (cost per shirt * number of shirts)

Total order cost = 40 + 21c

187 = 40 + 21c

187 - 40 = 21c

147 = 21c

c = 147 / 21

C = 7

Hence cost per shirt = $7

the answer is 3x²

Step-by-step explanation:

we know that k = 3x

when we look at the actual equasion we can se that y = kx, meaning we have to multiply x by 3x which would give us 3x²

Answer:  the answer is 3x^2 three x to the power of 2

Answer:

20, 250

Step-by-step explanation:

3:3:2

u will first need to find the addition of all the ratio and divide each ratio by the sum

3+3+2=8

the u will; 3/8×54000=20,250

3/8×54000=20,250

2/8×54000=13500

Answer:

Step-by-step explanation:

1e-9 meters= 1  nanometer =)

The unknown number will be 4 for the given expression.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that there is a number such that four times the number plus 3 is equal to 19.

The number will be calculated by writing the mathematical expression below assuming the unknown number is x.

4x + 3 = 19

4x  = 19 - 3

4x  = 16

x = 16 / 4

x = 4

Therefore, the unknown number will be 4 for the given expression.

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Answer:

See pictures:

Answer:

C

Step-by-step explanation:

The lines that are parallel in the image given are: Lines e and f are parallel because their alternate exterior angles are congruent.

When a transversal intersects two parallel lines, the alternate exterior angles that are formed are congruent to each other.

Conversely, if the alternate exterior angles formed are congruent, then both lines that are cut by a transversal are parallel.

Therefore, the lines that are parallel in the image given are: Lines e and f are parallel because their alternate exterior angles are congruent.

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Answer:

We can rewrite the given expressions as:

(3x² - y² - 2yz - z²) and (y² - z² - 2zx - x²)

To find the H.C.F., we can use the Euclidean algorithm. We start by dividing the first expression by the second expression:

(3x² - y² - 2yz - z²) ÷ (y² - z² - 2zx - x²)

Using long division or synthetic division, we get:

(3x² - y² - 2yz - z²) = (3x + y + z)(x - y + z) + 2y(x - z)

Therefore, the remainder is 2y(x - z). We can now divide the second expression by this remainder:

(y² - z² - 2zx - x²) ÷ 2y(x - z)

Using long division or synthetic division, we get:

(y² - z² - 2zx - x²) = -x(x - y + z) + z(x - y + z)

Therefore, the remainder is z(x - y + z).

Since the second remainder is not zero, we need to continue with the algorithm. Now we divide the remainder 2y(x - z) by the remainder z(x - y + z):

2y(x - z) ÷ z(x - y + z)

Using long division or synthetic division, we get:

2y(x - z) = 2y(x - y + z) - 2y²

Therefore, the remainder is -2y². Now we divide the previous remainder z(x - y + z) by this new remainder:

z(x - y + z) ÷ (-2y²)

Using long division or synthetic division, we get:

z(x - y + z) = -1(-2y²) + z²

Therefore, the H.C.F. of the original expressions is the absolute value of the last remainder, which is |-2y²| = 2y².

Therefore, the H.C.F. of (3x² - y² - 2yz - z²) and (y² - z² - 2zx - x²) is 2y².

Answer

Option C is correct.

Sandra will be paid 72.30 dollars for babysitting for 12 hours.

Explanation

We are told that Sandra earned 60.25 dollars babysitting 10 hours.

If she babysits at the same rate, we are asked to calculate the amount she would earn if she babysits for 12 hours.

Let the amount Sandra is paid for babysitting for 12 hours be x dollars

10 hours = 60.25 dollars

12 hours = x dollars

We can write a mathematical relationship by cross multiplying

10 × x = 12 × 60.25

10x = 723

Divide both sides by 10

(10x/10) = (723/10)

x = 72.3 dollars

Hope this Helps!!!

Simply subtract the lowest value from the highest value in the data set to determine the range.

Find the biggest observed value of a variable (the maximum) and subtract the smallest observed value to determine the range (the minimum). The data points between the distribution's two extremes are not taken into account by the range; just these two values are.

Because of its sensitivity to extreme values, it is frequently employed as a supplement to other measures of dispersion rather than as the single measure.

To help find the quartiles for bigger data sets, you can utilise the cumulative relative frequency distribution or, even better, the fundamental statistics algorithms found in spreadsheets or statistical applications that provide results more quickly.

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Isoquants for f(K, L) = 1/2 min{K, L} that produce exactly 10 goods and 25 goods can be graphed, with labeled points.

For function f(K, L) = 1/2 min{K, L}, we can graph the isoquants that represent the combinations of capital (K) and labor (L) that produce exactly 10 goods and 25 goods.

An isoquant represents all the combinations of inputs (K and L) that yield the same level of output. In this case, the isoquants will be curves that connect different combinations of K and L, where the output is constant at either 10 goods or 25 goods.

To graph the isoquant for 10 goods, we plot points where f(K, L) = 10. For example, if we let K = 4 and L = 4, the minimum of K and L is 4, so f(K, L) = 1/2 * 4 = 2 goods.

Since this is less than 10, we need to increase either K or L. We can try K = 8 and L = 4, where the minimum of K and L is still 4, and f(K, L) = 1/2 * 4 = 2 goods. Again, this is less than 10, so we increase K or L further.

Continuing this process, we can plot a few more points and connect them to obtain the isoquant for 10 goods.

Similarly, we can graph the isoquant for 25 goods by plotting points where f(K, L) = 25. For each point, we determine the minimum of K and L, multiply it by 1/2, and check if the result is equal to 25. By plotting and connecting several such points, we obtain the isoquant for 25 goods.

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Answer:

a: 00:45

b: 7:30 PM

Step-by-step explanation:

Hope this is right

Answer:

6n + 12 = -60 - 35

-12              -12

6n = -107

Divide by 6 on both sides:

N = -17.8333333333  around -17

Step-by-step explanation:

We need to isolate the variable meaning keeping the variable by itself on the left side. In order to do that we must get rid of any constants or co-efficients.

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer.....

= 6n + 12 = -95

= 6n = -95 - 12

= 6n = -107

= n = -107 / 6

= n = 17.83

Hope it helps!

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The complex nature of bureaucracies, combined with factors

such as autonomy, information asymmetry, and institutional resistance, makes it challenging to control them fully.

Combination of legislative oversight, executive control, judicial review, administrative procedures, and public participation

The bureaucracy can be controlled through various means, including,

Legislative Oversight,

The legislature, such as a parliament or congress, can exercise control over the bureaucracy through oversight mechanisms.

This includes holding hearings, conducting investigations, and reviewing agency budgets.

By closely monitoring bureaucratic actions and decision-making processes, the legislature can ensure accountability and transparency.

Executive Control,

The executive branch, which includes the president or prime minister.

Has the power to control the bureaucracy through appointments, policy directives, and administrative orders.

The executive sets the agenda and priorities for the bureaucracy, establishes goals, and monitors performance.

Judicial Review,

The judiciary plays a crucial role in controlling the bureaucracy through the power of judicial review.

Courts can examine bureaucratic actions and determine whether they comply with the law and constitution.

Judicial review acts as a check on excessive bureaucratic power and ensures adherence to legal principles.

Administrative Procedures:,

Implementing standardized administrative procedures and regulations can help control the bureaucracy.

These procedures define the decision-making processes, establish checks and balances, and provide guidelines for accountability.

Rules and regulations can prevent bureaucratic abuse and ensure consistency.

Public Participation and Feedback,

Engaging the public in the decision-making process and seeking their feedback can be an effective way to control the bureaucracy.

By involving citizens, civil society organizations, and interest groups, the bureaucracy can be held accountable to the people it serves.

Despite these control mechanisms, controlling the bureaucracy can be challenging due to several reasons,

Bureaucratic Autonomy,

Bureaucracies often have a degree of independence and discretion in implementing policies and carrying out their functions.

This autonomy can make it difficult for external actors to influence or control their actions.

Complexity and Size,

Bureaucracies are often complex and large organizations with multiple layers and departments.

Managing and controlling such complex systems can be a daunting task.

And it becomes challenging to ensure consistent control throughout the organization.

Information Asymmetry,

Bureaucracies possess specialized knowledge and expertise in their respective domains.

Which can create information imbalances between bureaucrats and external actors.

This information asymmetry can limit effective control and oversight by external actors who may lack the necessary expertise or information.

Institutional Resistance,

Bureaucracies develop their own organizational cultures, norms, and interests over time.

These institutional factors can lead to resistance to external control and influence.

Bureaucrats may seek to protect their autonomy, power, or resources, making it difficult to implement changes or reforms.

Political Interests and Influence,

Bureaucracies can be subject to political pressure and influence, both from within the government and external actors.

Political considerations and interests may sometimes override effective control mechanisms.

Leading to the manipulation of bureaucracy for partisan or personal gains.

Lack of Resources and Expertise,

Controlling the bureaucracy requires adequate resources, technical expertise, and capacity-building efforts.

Insufficient resources or a lack of expertise among external control mechanisms can hinder effective control over the bureaucracy.

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A confidence interval is a range of plausible values for the population parameter with a level of confidence attached.

In frequency statistics, a confidence interval is the range of estimated values ​​for an unknown parameter. Confidence intervals are computed at the specified confidence level. A 95% confidence level is the most common, but other levels such as 90% and 99% are sometimes used.

Confidence intervals are defined as the range of values ​​that you would expect to observe in a sample and find a value that accurately reflects the population.

Confidence intervals are a way of expressing how "good" an estimate is. The larger the 90% confidence interval for a particular estimate, the more cautious it should be used. Confidence intervals are an important reminder of the limits of an estimate.

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The study is investigating the relationship between the exposure to the suspected drug during pregnancy and the risk

of delivering a malformed infant. This study design is a case-control study design.

The resultant data are: forty mothers have taken the suspected drug during their pregnancies. Of these mothers, 35

have delivered malformed infants. In addition, 10 other infants are born with malfunctions," then the answer would be

as follows:

The type of study design that is described in this scenario is a case-control study design.

A case-control study design is a type of observational study design that compares people with a particular condition

(cases) to people without that condition (controls) to determine whether there is a relationship between the exposure

to a suspected risk factor and the development of the condition.

In this scenario, the cases are the 35 mothers who delivered malformed infants, and the controls are the 5 mothers

who did not deliver malformed infants. The study is investigating the relationship between the exposure to the

suspected drug during pregnancy and the risk of delivering a malformed infant. Therefore, this study design is a case

control study design.

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