Find the slope and the y-intercept of the line.
y = 8x-1

Answer:

1. The domain is (-2, -1, 0, 1) the rage is (4,2,0,2) 2. It is a function

Step-by-step explanation:

The domain in a pair is always the first number. The range is always the second number in the ordered pair.

Answer:

Domain: {−2,−1,0,1}

Range: {0,2,4}

Step-by-step explanation:

The domain is all the x-coordinates, but NEEDS TO BE ORDERED, which are {−2,−1,0,1} and you also need to include the curly brackets { }.

The range is all the y-coordinates and also NEEDS TO BE ORDERED, which are {0,2,4} and you also still need to include those curly brackets { }.

Hope this helps and answers your question! :)

Answer:

E. 14

Step-by-step explanation:

The shape is clearly a rectangle, from the units given

Perimeter= distance round a shape

Perimeter= 5+5+2+2=14

Answer:

$7.54

Step-by-step explanation:

Answer:

$7.54

Step-by-step explanation:

you solve by adding all the money together

Solve for dy/dx:   dy/dx = (-2x) / (2y) = -x / y which gives the slope of tangent line using implicit differentiation

To find the slope of a tangent line using implicit differentiation, follow these steps:

1. Start with the given equation that represents the relationship between x and y in the form of an equation involving both variables, for example: F(x, y) = 0.

2. Differentiate both sides of the equation with respect to x using the chain rule whenever necessary. Treat y as a function of x and apply the derivative rules accordingly.

3. After differentiating, have a resulting equation involving both x, y, and their derivatives (dy/dx). Rearrange the equation if necessary to isolate dy/dx on one side.

4. Solve for dy/dx to find the derivative of y with respect to x. This will give the slope of the tangent line at any given point on the curve defined by the implicit equation.

Note: The resulting expression for dy/dx may involve both x and y variables. To find the slope of the tangent line at a specific point, substitute the coordinates of that point into the expression for dy/dx.

Here's an example to illustrate the process:

Given the implicit equation: \(x^2 + y^2 = 25\)

1. Start with the equation: \(x^2 + y^2 = 25.\)

2. Differentiate both sides with respect to x:

  2x + 2y * (dy/dx) = 0

3. Rearrange the equation to isolate dy/dx:

  2y * (dy/dx) = -2x

4. Solve for dy/dx:

  dy/dx = (-2x) / (2y)

         = -x / y

Now, have the expression for the slope of the tangent line in terms of x and y. To find the slope at a specific point, substitute the coordinates of that point into the expression.

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Answer:

115

Step-by-step explanation:

5\color{red}{x}+\color{blue}{168}=

5x+168=

\,\,\color{purple}{743}

743

-\color{blue}{168}\phantom{=}

−168=

\,\,-\color{blue}{168}

−168

Subtract 168 from both sides

5\color{red}{x}=

5x=

\,\,575

575

\frac{5\color{red}{x}}{5}=

5

5x

​

=

\,\,\frac{575}{5}

5

575

​

Divide both sides by 5

\color{red}{x}=

x=

\,\,\boxed{\color{red}{115}}

115

​

Two integer variables x and y, prompts the user to enter values for them using the Scanner class, and performs addition, subtraction, multiplication, and division operations on those variables:

import java.util.Scanner;

public class VariableOperations {

   public static void main(String[] args) {

       Scanner scanner = new Scanner(System.in);

       System.out.print("Enter the value for x: ");

       int x = scanner.nextInt();

      System.out.print("Enter the value for y: ");

       int y = scanner.nextInt();

       // Addition

       int addition = x + y;

       System.out.println("Addition: " + addition);

       // Subtraction

       int subtraction = x - y;

       System.out.println("Subtraction: " + subtraction);

       // Multiplication

       int multiplication = x * y;

       System.out.println("Multiplication: " + multiplication);

       // Division

       if (y != 0) {

           double division = (double) x / y;

           System.out.println("Division: " + division);

       } else {

           System.out.println("Cannot divide by zero.");

       }

   }

}

This code prompts the user to enter values for x and y, performs the four basic arithmetic operations, and displays the results on the screen.

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SOLUTION

Recall that the equation of circle is given as;

Considering our question;

The radius of the circle is 3 units

The independent variable in this study is the temperature of the water in each tank. The independent variable is the factor that is intentionally manipulated or changed by the researcher in order to observe its effect on the dependent variable. In this case, the researcher is testing the effects of habitat space on the size of fish populations, and they are manipulating the temperature of the water to see how it impacts the survival of the goldfish.

The researcher sets up four aquariums of the same size with six goldfish in each one. The independent variable, temperature, is kept different in each tank. This means that each tank is maintained at a different temperature throughout the experiment.

By manipulating the temperature in each tank, the researcher can observe how the different temperature conditions affect the survival of the goldfish. This allows them to determine whether the size of the fish populations is influenced by habitat space, as measured by the temperature of the water.

To summarize, in this study, the independent variable is the temperature of the water in each tank. The researcher is manipulating the temperature to observe its effect on the survival of the goldfish and determine the impact of habitat space on fish populations.

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Answer:

(-9, 5)

Step-by-step explanation:

there are 2 variable: x and y

eliminate one of the variables for example y

 -x - y = 4

-2x - y = 13  multiply  this equation by (-1)

-x - y = 4

2x + y = -13

add both equations

2x-x-y+y = 4-13

x = -9

substitute x = -9 in the first equation

-(-9)-y = 4

9 - y = 4  subtract 9 from both sides

-y = 4 - 9

-y = -5 multiply by (-1)

y = 5

Answer:

Not a function, as it fails the vertical line test.

Step-by-step explanation:

I dislike math as well.

Answer:

B. not a function

Step-by-step explanation:

One x value has more than one specific y value. To be a function one x value cannot have more than one specific y value.

Answer:

He spent 22.74

Step-by-step explanation:

because 25.78−22.74 = 3.04

The loads carried by an elevator are found to follow a normal distribution with a mean weight of 1812 lbs, and a standard deviation of 105.3 lbs. The answer is c) [1606, 2018].

To answer this question, we need to use the concept of confidence intervals. A 95% confidence interval means that in 95% of all cases, the true population parameter (in this case, the weight of the elevator load) will fall within the interval.

To find the interval centered about the mean, we need to calculate the margin of error first. The formula for margin of error is:

Margin of Error = z*(standard deviation/square root of sample size)

Since we do not have a sample size here, we will use the population standard deviation instead.

For a 95% confidence level, the z-value is 1.96. So, plugging in the values we have:

Margin of Error = 1.96*(105.3/square root of 1)

Margin of Error = 205.97

Now, we can find the interval by adding and subtracting the margin of error from the mean:

Interval = [1812 - 205.97, 1812 + 205.97]

Interval = [1606.03, 2017.97]

Therefore, the answer is c) [1606, 2018].

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The simplified form of the expression is -10x - 16

Given the expression -2(5x + 8)

In order to factorize the expression, we will use the distributive property. Distribute -2 over 5x and 8 to have:

Step 1: Distribute -2 to 5x and 8

-2(5x + 8) =-2(5x) -2(8)

Simplify

-2(5x + 8) = -10x - 16

Hence the simplified form of the expression is -10x - 16

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-2(5x+8) = 14 +6x

Step 1: Distribute -2 to 5x and 8

Step 2: Substract 6x.

Step 3: Divide by 16.

Step 4: Divide by -16.

∞ · Please give Brainliest · ∞

If the null hypothesis is true in a chi-squared test, then we expect the test statistic to be approximately equal to its expected value.

In a chi-squared test, the null hypothesis is the statement that there is no significant association between two variables. If the null hypothesis is true, then we expect the test statistic to be approximately equal to its expected value. The expected value is calculated using the degrees of freedom and the expected frequency of each category in the contingency table.

The chi-squared test statistic is calculated by subtracting the observed frequency from the expected frequency for each category and then squaring the result. These squared differences are then summed across all categories to calculate the chi-squared test statistic.

If the null hypothesis is true, we expect the test statistic to be close to its expected value. This is because when the null hypothesis is true, the observed frequencies should be close to the expected frequencies. Therefore, the squared differences should be small, resulting in a small test statistic.

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Answer:

P= 0.95

Explanation:

P(amusement park) = 0.47

P(water park) = 0.58

then P(amusement park AND water park) = 0.47 + 0.58 - 0.95 = 0.10

Answer:

A) Domain: All real numbers, excluding zero        (-∞, 0) ∪ (0, ∞)

Range: All real numbers, excluding zero      (-∞, 0) ∪ (0, ∞)

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Step-by-step explanation:

y=5(x+1/5)² -36/5

y=5(x+1/5)² -36/5

To get the limit of the function (lim(√(1 + 7x) - √(1 - 4x))/x as x → 0), let's first try an elementary method. However, in this case, the elementary method does not seem to lead to a simple solution. Therefore, we will use l'Hospital's Rule, which can be applied when the limit is in the form of 0/0 or ∞/∞.

Step:1. First, differentiate the numerator and denominator with respect to x:
Numerator derivative: d(√(1 + 7x))/dx - d(√(1 - 4x))/dx = (7/2)(1 + 7x)^(-1/2) - (-4/2)(1 - 4x)^(-1/2)
Denominator derivative: dx/dx = 1
Step:2. Now, apply l'Hospital's Rule by taking the limit of the derivatives:
lim((7/2)(1 + 7x)^(-1/2) - (-4/2)(1 - 4x)^(-1/2))/1 as x → 0
Step:3. Plug in x = 0:
(7/2)(1)^(-1/2) - (-4/2)(1)^(-1/2) = (7/2) - (-4/2) = 11/2
Therefore, the limit of the function as x → 0 is 11/2.

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Answer:

The story presents Raven's trick against the Sky Chief in a matter-of-fact manner.

Step-by-step explanation:

The myth shows what they find valued or acceptable in their culture.

These are the computed values of beta and p-value for the given alternative value p = 0.21 and sample sizes.

To compute the beta (β) for the given alternative value p = 0.21 and sample sizes n = 81, 900, 14,400, 40,000, and 90,000, we need to determine the probability of Type II error. Beta is the probability of failing to reject the null hypothesis (H₀) when the alternative hypothesis (Hₐ) is true.

To calculate beta, we need to find the corresponding z-value for the given significance level α = 0.01, which corresponds to a z-value of 2.33 (approximate value).

Using the formula for the standard deviation of the sample proportion:

σ = sqrt((p₀ * (1 - p₀)) / n)

where p₀ is the null hypothesis value, p = 0.2, and n is the sample size.

Then we can calculate the z-score for the alternative value p = 0.21 using the formula:

z = (p - p₀) / σ

Finally, we can compute beta using the standard normal distribution table or a statistical calculator.

Let's calculate beta for the given sample sizes:

For n = 81:

σ = sqrt((0.2 * (1 - 0.2)) / 81) ≈ 0.0447

z = (0.21 - 0.2) / 0.0447 ≈ 0.2494

beta = P(Z > 0.2494) ≈ 0.4013

For n = 900:

σ = sqrt((0.2 * (1 - 0.2)) / 900) ≈ 0.0143

z = (0.21 - 0.2) / 0.0143 ≈ 0.7692

beta = P(Z > 0.7692) ≈ 0.2206

For n = 14,400:

σ = sqrt((0.2 * (1 - 0.2)) / 14,400) ≈ 0.0071

z = (0.21 - 0.2) / 0.0071 ≈ 1.5493

beta = P(Z > 1.5493) ≈ 0.0606

For n = 40,000:

σ = sqrt((0.2 * (1 - 0.2)) / 40,000) ≈ 0.0050

z = (0.21 - 0.2) / 0.0050 ≈ 2.2000

beta = P(Z > 2.2000) ≈ 0.0139

For n = 90,000:

σ = sqrt((0.2 * (1 - 0.2)) / 90,000) ≈ 0.0033

z = (0.21 - 0.2) / 0.0033 ≈ 3.0303

beta = P(Z > 3.0303) ≈ 0.0012

Next, let's calculate the p-value for the alternative value P = 0.21 and sample sizes n = 81, 900, 14,400, and 40,000.

The z-score for the given P can be calculated using the formula:

z = (P - p₀) / σ

Using the standard normal distribution table or a statistical calculator, we can find the area under the curve beyond the calculated z-score to obtain the p-value.

For n = 81:

σ = sqrt((0.2 * (1 - 0.2)) / 81) ≈ 0.0447

z = (0.21 - 0.2) / 0.0447 ≈ 0.2494

p-value = P(Z > 0.2494) ≈ 0.4013

For n = 900:

σ = sqrt((0.2 * (1 - 0.2)) / 900) ≈ 0.0143

z = (0.21 - 0.2) / 0.0143 ≈ 0.7692

p-value = P(Z > 0.7692) ≈ 0.2206

For n = 14,400:

σ = sqrt((0.2 * (1 - 0.2)) / 14,400) ≈ 0.0071

z = (0.21 - 0.2) / 0.0071 ≈ 1.5493

p-value = P(Z > 1.5493) ≈ 0.0606

For n = 40,000:

σ = sqrt((0.2 * (1 - 0.2)) / 40,000) ≈ 0.0050

z = (0.21 - 0.2) / 0.0050 ≈ 2.2000

p-value = P(Z > 2.2000) ≈ 0.0139

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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:

slope is undefined

Step-by-step explanation:

We have 2 coordinates (-4,0) and (-4,1)

Slope m = (y2 - y1)/(x2 - x1) = (1 - 0)/(-4 - -4) = 1/0 or undefined

The undefined slope is the slope of a vertical line

Answer:

55°

Step-by-step explanation:

180°-70°=110° (sum of angles on a straight line gives 180°

The size of each of the four remaining angles=110°/4 = 27.5°

<X + <Y = 27.5° + 27.5°=55°

Answer:true

Step-by-step explanation:

A simple random sample of size n from a finite population of size n is a sample selected such that each possible sample of size the same probability of being selected.

As we know that,

A selection of participants from a population are chosen at random by the researcher using simple random sampling, a sort of probability sampling. Every person in the population has the same chance of being chosen.

So n has the same probability of being selected.

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The right question is

A simple random sample of size n from a finite population of size N is a sample selected such that each possible sample of size

n has a probability of 0.5 of being selected.

n has the same probability of being selected.

N and n have the same probability of being selected.

n has a probability of 0.05 of being selected.

Answer:

- 23

Step-by-step explanation:

We could do this the long way and expand the whole product or note that the \(a^{4}\) terms arise from the product of the a³ and a terms and the product of the a² and a² terms, that is

4a³ × 3a = 12\(a^{4}\)

+ 5a² × - 7a² = - 35\(a^{4}\)

Summing gives

12\(a^{4}\) - 35\(a^{4}\) = - 23\(a^{4}\)

with coefficient - 23

The only pairs that will give you some multiple of \(a^4\) are:

\(4a^3\cdot (3a),\quad 5a^2\cdot(-7a^2)\)

their values are respectively

\(12a^4,\quad -35a^4\)

and their sum is \(-23a^4\)

Answer:

30

Step-by-step explanation:

Answer:

the first oneee

Step-by-step explanation:

do you want an explanation?