Identify the quadrant or axis that the following points lie on, if the point lies on an axis, specify which part (positive or negative) of which axis (X or Y)

Answer:

x-intercept: (-7,0)

y-intercept: (0,2)

Step-by-step explanation:

The x-intercept is (-7,0) because on the graph we can see that the line lies on the x-axis on the point (-7,0).

The y-intercept is (0,2) because we can see that the line pass through the y-axis on the (0,2) point.

Hope this helps you :)

Answer:

4 miles

Step-by-step explanation:

Given that:

Charges for the first \(\frac{1}2\) mile = $3.50

Tip given to driver = $4

Charges for additional 0.1 mile = $0.50

Total money available = $25

To find:

Total number of miles that a person can ride?

Solution:

Let us have a look at the money left after charges for the first \(\frac{1}{2}\) mile and tip.

\(\Rightarrow \$3.50 + \$4 = \$7.50\)

Money left = $25 - $7.50 = $17.50

$0.50 is required for the distance = 0.1 mile

$1 is required for the distance = 0.2 miles

$17.50 is required for the distance = 0.2 \(\times\) $17.50 = 3.5 miles

Total distance traveled = First half mile + Distance traveled with the amount of money remaining as calculated above. = 0.5 + 3.5 = 4 miles

Taner will only need to run 3 km this week to complete his 6 km running goal.

If we require a definition, we may start by saying that fractional numbers are numbers that symbolize one or possibly more portions of a unit that has been subdivided into equal parts.

Given that, Taner's overall running goal is 6 km (including last week and this week)

So,

Taner's 2-week goal is 6 kilometres.

Now,

Taner's goal for the week is 3 kilometres = (6/2).

As the Taner completed 3 km of running last week. Taner can achieve his objective this week by running just 3 miles.

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FalseExplanation:No, data privacy is an important issue that marketers need to take into account when gathering consumer information.

Although social media platforms and surveys can provide a vast amount of secondary data created by people who are active online, marketers must ensure that they are following ethical practices and protecting the privacy of individuals. This includes obtaining proper consent, protecting personal information, and ensuring that data is not misused or mishandled.

data privacy is a crucial aspect that marketers need to consider when collecting consumer information. Although social media and surveys can be useful sources of secondary data, ethical practices and privacy protection should always be a priority.

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Answer:

Decrement

Step-by-step explanation:

    Lines that are parallel to one another on a plane do not intersect or meet at any point. They are always equidistant from one another and parallel. Non-intersecting lines are parallel lines. Parallel lines can also be said to meet at infinity.

The slope of parallel lines is the same. By converting the line 2x -4y = 8 to slope intercept form, first determine its slope.

4y = 8-2x y = 1/2x - 4 2x + 4y = 8

Here, the slope is 1/4

Fill in the point slope form with (-2, -4) and m = 1/4 After that, simplify to obtain the standard form and slope intercept form.

The slope intercept form is y = 1/4x + 6, while the point slope form is y - (-4) = 1/4(x+4).

Now, by rearranging the terms into the formula Ax + By = C, the standard form may be discovered.

6 becomes -1/4x + y = 6 when y= 1/4x + 6. Since fractions for A or B cannot be expressed in standard form, the equation is multiplied by 4 to get x + 4 y = 24.

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(a) The function sin⁻¹ has a domain of [-1, 1] and a range of [-π/2, π/2].

(b) The function cos⁻¹ has a domain of [-1, 1] and a range of [0, π].

(c) The function tan⁻¹ has a domain of (-∞, ∞) and a range of (-π/2, π/2).

In mathematics, the domain and range are concepts used to describe the inputs and outputs of a function.

The domain of a function is the set of all possible inputs or values of the independent variable for which the function is defined or meaningful.

The range of a function, on the other hand, is the set of all possible outputs or values of the dependent variable that the function can produce for all the inputs in the domain.

The inverse sine function, denoted sin⁻¹, takes as input a value between -1 and 1, and returns the angle whose sine is equal to that value. Therefore, its domain is [-1, 1], since the sine of an angle cannot exceed these limits. The range of sin⁻¹ is the set of all angles whose sine lies between -1 and 1. The smallest such angle is -π/2, which corresponds to a sine of -1, and the largest such angle is π/2, which corresponds to a sine of 1. Hence, the range of sin⁻¹ is [-π/2, π/2].

The inverse cosine function, denoted cos⁻¹, is similar to sin⁻¹, but takes as input a value between -1 and 1 and returns the angle whose cosine is equal to that value. Its domain is also [-1, 1], since the cosine of an angle cannot exceed these limits. However, the range of cos⁻¹ is different from that of sin⁻¹. It starts at 0, which corresponds to a cosine of 1, and ends at π, which corresponds to a cosine of -1. The reason for this difference is that the cosine of an angle is always positive or zero when the angle lies between 0 and π radians.

The inverse tangent function, denoted tan⁻¹, takes as input any real number and returns the angle whose tangent is equal to that number. Its domain is (-∞, ∞), since the tangent of an angle can take on any real value. The range of tan⁻¹ is between -π/2 and π/2, since the tangent of an angle becomes infinite at these values.

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The p value is 0.78. So the result is not statistically significant: there is not enough evidence to reject the null hypothesis.

In the give question, suppose in order for a bill to pass in congress, 50% of voters must be in favor of it.

In a random sample of 200 voters, 98 said that they were in favor of a new bill.

We have to state the p-value assuming the alternative hypothesis is H(a) ≠ 0.50.

Random sample of 200 voters, 98 were in favor

Sample size, n = 200

Number of favorable outcomes, X = 98

Hence,

p = X/n

p = 98/200

p = 0.49

50% of voter must be in favor and alternative hypothesis is Ha ≠ 0.50

H(0) : p = 0.50

H(a) : p ≠ 0.50

This represents two tailed test.

We have, test statistic

z = (p - po)/√(po(1-po)/n)

where,

p = sample proportion

p0 = population proportion

z = 0.49 - 0.50/√(0.50(1-0.50)/200)

z = -0.10/√0.50*0.50/200

z = -0.10/√0.25/200

z = -0.10/√0.001250

z = -0.10/0.354

z = -0.2825

From Z table,

P value = 0.78

The result is not statistically significant: there is not enough evidence to reject the null hypothesis.

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The right question is  given below:

Answer:

5+8x

Step-by-step explanation:

I did the math.

Sun's money = x

Brittney's money = 2x

x + 2x = $60

3x = $60

3x/3 = 60/3

x = 20

So amount that Brittney has is 2x.

The amount they have together is 3x

The equation that describes the problem is 3x = $60

Answer:

Brittney has twice as much money as Sun. Together, they have $60. Let x represent the amount of money Sun has.

What expression represents the amount of money Brittney has?

✔ 2x

What expression represents the amount of money that Brittney and Sun have together?

✔ 2x + x

What is the equation described in this problem?

✔ 2x + x = 60

Step-by-step explanation:

A Pearson's product-moment correlation can result in a coefficient ranging from -1 to 1, with 0 indicating no correlation and positive or negative values indicating the direction and strength of the correlation.

A coefficient close to 1 or -1 indicates a strong correlation, while a coefficient close to 0 indicates a weak correlation. It is important to note that correlation does not imply causation and that the results should be interpreted with caution. Additionally, the validity of the results depends on the quality of the data and the content loaded into the analysis.

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Answer:

when two things are said to be in inverse proportion , the two things are connected to each other in a particular way that if one thing increases its quantity the other will decrease .

For example : More the number of workers the less time needed to finish the work.

hope this helps you .

Answer:

A direct and inverse proportion is used to show how the quantities and amount are related to each other. For example, if we say, a is proportional to b, then it is represented as 'a∝b' and if we say, a is inversely proportional to b, then it is denoted as 'a∝1/b'.

What is the direct proportion?

Direct proportion is the relationship between two variables whose ratio is equal to a constant value.

Example

The term direct proportion means that two (or more) quantities increase or decrease in the same ratio. For example, in the purple paint mixture, the ratio of blue to red of 4:3. This does not necessarily mean we every mixture would have 4 red and 3 blue cans.

Formula

In mathematical statements, it can be expressed as y = kx. This reads as “y varies directly as x” or “y is directly proportional as x” where k is constant in the equation.

What is the indirect proportion?

Inverse proportion occurs when one value increases and the other decreases.

Example

More workers on a job would reduce the time to complete the task. They are inversely proportional.

Formula

The equation for inverse proportion is x y = k or x = k/ y. Therefore, for finding the value of the constant k, you can use the known values and then use this formula to calculate all the unknown values.

a. Correlation: This method measures the strength and direction of the relationship between two continuous variables.
b. Linear Regression: This method predicts the value of one continuous variable based on the value of another continuous variable.
c. Independent t-test: This method compares the means of two independent groups to determine if there is a significant difference between them.
d. Dependent t-test: This method compares the means of two related groups (e.g., pre-test and post-test) to determine if there is a significant difference between them.

a. Correlation - This statistical method is used when the research question involves examining the relationship between two continuous variables. For example, "Is there a correlation between hours spent studying and GPA?"

Research question type: "Is there a relationship between variable A and variable B?"
b. Linear Regression - This statistical method is used when the research question involves predicting a continuous dependent variable based on one or more continuous independent variables. For example, "Can we predict income based on years of education and work experience?"

Research question type: "Can we predict variable A based on variable B?"
c. Independent t-test - This statistical method is used when the research question involves comparing the means of two independent groups on a continuous variable. For example, "Is there a difference in salaries between male and female employees?"

Research question type: "Is there a significant difference in variable A between Group 1 and Group 2?"
d. Dependent t-test - This statistical method is used when the research question involves comparing the means of two related groups on a continuous variable. For example, "Is there a significant difference in test scores before and after a study intervention?"

Research question type: "Is there a significant difference in variable A between the pre-test and post-test results?"

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Anna should use the following equation,

\(a_{15} = 4(3)^{15}\)

Equation for Determining the Number of Bacterial Cells

Initially, the count of bacterial cells = 4

It is given that the bacterial cell triples every month.

Hence, the equation for the count of bacterial cells after first month is,

a₁ = 4(3)

This count of 4(3) triples again in the second month.

So, after the second month, the equation for the count of bacterial cells is given by,

a₂ = 4(3)(3) = 4(3)²

Calculating the Count of Bacterial Cells For Each Month

Again, this count triples in the third month.

Therefore, the  equation for the count of bacterial cells after the third month becomes,

a₃ = 4(3)(3)(3) = 4(3)³

This count triples again in the fourth month and this process continues till 15 months.

Hence, the equation for determining the number of bacterial cells comes out to be as follows,

a₁₅ = 4(3)¹⁵

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The standard form is y= 3x² - 16x + 132.

We have Equation,

f(x) = 3(x-8)² - 160

We know the standard form is

y= ax² + bx + c

Now, converting vertex form to standard form

y = 3(x-8)² - 160

y = 3 (x² + 64 - 16x )-60

y= 3x² + 192 - 16x -60

y= 3x² - 16x + 132

Thus, the standard form is y= 3x² - 16x + 132.

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Answer:

2.5 minutes

Step-by-step explanation:

I'm not really sure how to use the equation but this is how you do it:

There are 12 gallons already there and they want to get to 27 so he needs 15 more gallons. We know that it fills up 6 gallons a minute so to fill the 60 gallon pool it will take 10 minutes. 15 is a quarter of 60 so you divide 10 by 4. This gets you 2.5.

The number line which represents all of the solutions for the problem situation is Number line A.

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

to solve an inequality:

Volume of the pool = 60-gallons

Water in the pool already = 12 gallons

Water left to fill the pool = 27 gallons

Water flow per minute = 6 gallons

Number of minutes it takes to fill the pool = x

The inequality:

27 ≤ 12 + 6x

subtract 12 from both sides

27 - 12 ≤ 6x

15 ≤ 6x

divide both sides by 6

x ≤ 15/6

x ≤ 2.5 minutes

Therefore, the given inequality has the solution x ≤ 2.5 minutes.

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Answer: 0

Step-by-step explanation:

The slope of a line that contains the points (13, -2) and (3, -2) would be 0, since the y-coordinate of both points is the same. The slope of a line is determined by the difference in the y-coordinates of the two points, divided by the difference in their x-coordinates. In this case, the difference in the y-coordinates is 0, so the slope is 0.

Without using a calculator, the trigonometric expressions simplify to:

1. sin^(-1)(sin(θ/6)) = θ/6

2. cos^(-1)(cos(5/4)) = 5/4

3. tan^(-1)(tan(5/6)) = 5/6.

To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.

1. sin^(-1)(sin(θ/6)):

Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.

2. cos^(-1)(cos(5/4)):

Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.

3. tan^(-1)(tan(5/6)):

tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.

Hence, without using a calculator, we find that:

sin^(-1)(sin(θ/6)) = θ/6,

cos^(-1)(cos(5/4)) = 5/4,

tan^(-1)(tan(5/6)) = 5/6.

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Answer:

104

Step-by-step explanation:

8x = 7x + 13

x = 13

m<U = 7(13) + 13 = 91 + 13 = 104 degrees

The number selected is the square of a natural number is 1/5.

What is probability and example?

The square number between 1 and 20 = 1,4,9,16

The number of squares between 1 and 20 = 4

The total numbers between 1 and 20= 20

The probability that the number selected is the square of a natural number is given by -

P = Square number /total numbers

P = 4/20 = 1/5

Therefore,  the number selected is the square of a natural number is 1/5.

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The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed

The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.

To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.

On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.

So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.

Therefore, the correct answer is: The total number of tasks Terrence completed.

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The 95% confidence interval for the slope will be B. (-0.308,-0.019).

The confidence interval based on the information and diagram will be:

= -0.1636 + 2.228 × 0.06488

= 0.019

Also, -0.1636 - 2.228 × 0.06488

= -0.308

In conclusion, the correct option is (-0.308,-0.019).

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the relationship between the diameter of the pizza and its cost per square inch is non-proportional.

The relationship between the diameter of the pizza and its cost per square inch is non-proportional.

If the relationship were proportional, then the cost per square inch of the pizza would remain constant as the diameter changes. However, in this case, we see that as the diameter of the pizza increases, the cost per square inch decreases. This is because the area of a circle increases more rapidly than its diameter, so the cost must be spread out over a larger area, resulting in a lower cost per square inch.

Therefore, the relationship between the diameter of the pizza and its cost per square inch is non-proportional.

the complete question is :

would relationship between the dilation factor k and the resulting volume of a solid best be described as proportional or non proportional? justify your answer

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The letter used to represent Pearson's product-moment correlation coefficient is "r".

This coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no linear correlation.

To calculate Pearson's correlation coefficient, we first standardize the variables by subtracting their means and dividing by their standard deviations. Then, we calculate the product of the standardized values for each pair of corresponding data points. The sum of these products is divided by the product of the standard deviations of the two variables. The resulting value is the correlation coefficient "r".

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The fraction as a product of a whole number and a unit fraction 3/4can be expressed as the product of 0 and 1/4, which is 0 × 1/4.

To express the fraction 3/4 as a product of a whole number and a unit fraction, we can follow these steps:

Step 1: Determine the whole number part.

The whole number part represents the number of times the unit fraction is repeated. To find it, we divide the numerator (3) by the denominator (4) of the fraction: 3 ÷ 4 = 0.75. Since the quotient is less than 1, the whole number part is 0.

Step 2: Determine the unit fraction.

The unit fraction has a numerator of 1 and the same denominator as the original fraction. Therefore, the unit fraction is 1/4.

Step 3: Combine the whole number and the unit fraction.

In this case, the whole number part is 0, and the unit fraction is 1/4. We can combine them using multiplication: 0 × 1/4 = 0.

Therefore, 3/4 can be expressed as the product of 0 and 1/4, which is 0 × 1/4.

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Answer:

x = 4

Step-by-step explanation:

You may want to make everything into the same fraction to make the math easier. Because x/4 is the smallest fraction, make all of the other numbers with x match it.

3x = 12x/4, x/2 = 2x/4.

Now, 12x/4 - x/4 = 11x/4.

11x/4 + 9 = 1 - 2x/4 - 5. Now add x to one side to solve x.

13x/4 +9 = 1 - 5

13x/4 + 9 = -4

13x/4 = -13 (multiply by four on each side)

13x = -52

x = 4

Answer: x=-4

Step-by-step explanation:

The set of numbers that satisfy the condition "x | x is a whole number between -7 & 5" is {-7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5}.

We need to find the whole numbers between -7 and 5. Here's the step-by-step explanation:

1. Identify the given range: -7 to 5
2. Determine the whole numbers between these two values, not including -7 and 5 themselves
3. List the whole numbers in order

whole numbers are a set of numbers without fractions, decimals, or negative integers. They are a collection of positive integers and zero.

So,The set of numbers that satisfy the condition "x | x is a whole number between -7 & 5" is {-7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5}.

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Answer:

Step-by-step explanation:

In ΔFYG & ΔBUH

∠F = ∠B

FY = BU

YG = UH

ΔFYG ≅ ΔBUH   { Angle Side Side congruent}