Complete the table, given that the function described by the data is linear.

Answer: passes a horizontal AND vertical line test✅; no repeating x values✅

Step-by-step explanation:

To pass a line test, the function must pass BOTH the horizontal and vertical line test. If it only passes one but not the other, is it NOT a function.

Lastly, it can be a function if it has repeating y values.

Answer:

D. \(10^{\circ}\)

Step-by-step explanation:

Let the measure of minor arc \(AE\) be \(\alpha\) and the measure of minor arc \(BD\) be \(\beta\).

Using the secant-secant theorem, \(\frac{\alpha-\beta}{2}=32 \implies \alpha-\beta=64^{\circ}\).

By the inscribed angle theorem, \(\alpha=84^{\circ}\).

Thus, \(\beta=20^{\circ}\).

By the inscribed angle theorem, \(x=10^{\circ}\).

Answer:

16.97056

Step-by-step explanation:

Answer:

step 4

Step-by-step explanation:

she's at 6 then goes up 3 which would mean she's at step 9. then she goes does 4 so subtract 9-4=5. She would be on step 5 but she decides to go up 2 so add. 5+2=7. then she goes down 3 steps so subtract. 7-3=4. she ends up at step 4.

Answer:

-4x^2, -3x, -5

Step-by-step explanation:

-4x^2 + 2x - 5 (1 + x)

-4x^2 + 2x - 5 + 5x

-4x^2 - 3x - 5

Just add the powers while it is multiply

-1+(-3)

= -1 - 3

= -4

So it is \(2^{-4}\)

Answer:

A rational number

Step-by-step explanation:

Answer:

Decimal number

Step-by-step explanation:

Converting to fraction

\(\\ \sf\longmapsto 28.8\)

\(\\ \sf\longmapsto \dfrac{288}{10}\)

\(\\ \sf\longmapsto \dfrac{144}{5}\)

\(\\ \sf\longmapsto 28\dfrac{4}{5}\)

Answer:

The answer is

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

\(y - y_1 = m(x - x_1) \\ \)

where

m is the slope

( x1 , y1) is the point

From the question the point is (1,6) and slope 2

The equation of the line is

\(y - 6 = 2(x - 1) \\ y - 6 = 2x - 2 \\ y = 2x - 2 + 6\)

We have the final answer as

Hope this helps you

Answer:

maria spent her money so hers decreased

Step-by-step explanation:

Answer:

Maria spent $9 at the movies

Step-by-step explanation:

she spend it which decrease which could be expressed as a negative integer.

The author gives a detailed description of a healthy ecology D. To contrast how the town changed once the ecology was compromised with the use of harmful pesticides.

What is the ecology about?

Ecology also teaches us about the benefits of ecosystems and how to use the Earth's resources in a way that protects the environment for future generations. We can learn more about our surroundings thanks to the various fields of ecology, which include statistical ecology, marine ecology, and vegetation ecology.

With the help of this information, we can manage our natural resources, protect human health, and improve the environment. In this case, the author give a detailed description of a healthy ecology.

The correct option is D.

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Answer:

103288

Step-by-step explanation:

1 mile is equal to 63360 inches. 98 times 63360 is 6209280 inches per hour

divide by 60 to get 103288 inches per minute.

Answer:

  150 radians

Step-by-step explanation:

Arc length as a function of angle is ...

  s = rθ

Then the angle is ...

  θ = s/r = (1800 cm)/(12 cm) = 150 . . . radians

Answer:

B. 1,440

Step-by-step explanation:

Answer:

Step-by-step explanation:

think about it how many groups can see the movie in 12 hours. that would be 4, now multiply 360 people by 4. if you do it right you answer should be 1440.(hope this helps :)   )

Answer:

21 y power 5

Step-by-step explanation:

The central angles for the categories with the numbers 40, 100, 50, and 50 are 60 degrees, 150 degrees, 75 degrees, and 75 degrees, respectively.

To calculate the central angles for each category based on the given numbers 40, 100, 50, and 50, we need to find the proportion of each value to the total sum of all the values. Let's proceed with the following steps:

Step 1: Calculate the total sum of the given numbers: 40 + 100 + 50 + 50 = 240.

Step 2: Find the proportion of each value by dividing it by the total sum and multiplying it by 360 (since a full circle has 360 degrees).

Central angle for the first category: (40/240) * 360 = 60 degrees.

Central angle for the second category: (100/240) * 360 = 150 degrees.

Central angle for the third category: (50/240) * 360 = 75 degrees.

Central angle for the fourth category: (50/240) * 360 = 75 degrees.

The central angles for each category based on the given numbers are 60 degrees, 150 degrees, 75 degrees, and 75 degrees, respectively.

These central angles represent the relative proportions of each category's spending in relation to the total spending. They can be used to create a pie chart or visualize the distribution of expenses in a circular graph.

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Note the search engine cannot find the complete question

The angle between 0 and 2pi in radians that is co-terminal with the angle 34/7pi in radians is 20/7π.

To find the angle between 0 and 2π in radians that is co-terminal with the angle 34/7π in radians, we need to first understand what co-terminal angles are.

Co-terminal angles are angles that share the same initial and terminal sides, but differ by a multiple of 360°. In radians, they differ by a multiple of 2π.

To find the co-terminal angle, we need to add or subtract a multiple of 2π from the given angle until we get an angle between 0 and 2π. We can do this using the following formula:

Co-terminal angle = θ ± 2nπ Where θ is the given angle and n is an integer that represents the number of full rotations (360° or 2π radians) we add or subtract.

To find the co-terminal angle with 34/7π, we need to subtract 2π until we get an angle between 0 and 2π:

34/7π - 2π = (34/7 - 14/7)π = 20/7π.

Now, we have an angle of 20/7π that is co-terminal with 34/7π and is between 0 and 2π radians.

Therefore, the answer is 20/7π.

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The area of this composite figure made from placing a sector of a circle on a triangle is 95.55 square cm

The sector area

The area of the sector is calculated as

Area = x/360 * πr²

Where

r² = 8² + 6²

So, we have

r² = 100

This means that

Area = 82/360 * π * 100

Evaluate

Area = 71.55

The triangle area

This is calculated as

Area = 0.5bh

So, we have

Area = 0.5 * 8 * 6

Evaluate

Area = 24

So, the area of the figure is

Figure = 24 + 71.55

Figure = 95.55

Hence, the area is 95.55

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Using the z-distribution, the 95% confidence interval of the population mean is: (17.5, 24.5).

The confidence interval is:

\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)

In which:

In this problem, we have a 95% confidence level, hence\(\alpha = 0.95\), z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.

For this problem, the other parameters are:

\(\overline{x} = 21, \sigma = 26.8, n = 225\)

Hence the bounds of the interval are:

\(\overline{x} - z\frac{\sigma}{\sqrt{n}} = 21 - 1.96\frac{26.8}{\sqrt{225}} = 17.5\)

\(\overline{x} + z\frac{\sigma}{\sqrt{n}} = 21 + 1.96\frac{26.8}{\sqrt{225}} = 24.5\)

The interval is: (17.5, 24.5).

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Answer:

-3 - 8i

Step-by-step explanation:

The polygons are not similar because they do not have a constant similarity ratio

From the question, we have the following parameters that can be used in our computation:

The polygons

To check if the polygons are similar, we divide corresponding sides and check if the ratios are equal

So, we have

Scale factor = 150/100 = 151/100

Scale factor = 1.5 = 1.51 --- false

Hence, the polygons are not similar

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The linear equation used to represent this situation is y = -75x + 6000

A linear equation is in the form:

y = mx + b;

where y, x are variable, m is the slope of the line and b is the y intercept.

Let y represent the amount of deer present in x years. There are 6000 deer presently, hence a = 6000. Also 75 more deer die than are born each year. Hence m = -75.

The linear equation is given by:

y = -75x + 6000

In 3 years:

y = -75(3) + 6000

y = 5775

For there to be 5325 deer:

5325 = -75x + 6000

x = 9 years

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A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.

The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.

Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.

Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.

A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

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9514 1404 393

Answer:

  4

Step-by-step explanation:

The constant of proportionality is the ratio of y-values to corresponding x-values. We see that the y-value is 8 (at the top of the graph) when the corresponding x-value is 2.

  k = 8/2 = 4

The constant of proportionality is 4.

The compound inequality that represents the range of the actual weight of the object is 125.4 ≤ w ≤ 126.2.

Part A: The absolute value inequality that describes the range of the actual weight of the object is:

|w - 125.8| ≤ 0.4

Part B: To solve the absolute value inequality, we can break it down into two separate inequalities:

w - 125.8 ≤ 0.4 and - (w - 125.8) ≤ 0.4

Solving the first inequality:

w - 125.8 ≤ 0.4

Add 125.8 to both sides:

w ≤ 126.2

Solving the second inequality:

-(w - 125.8) ≤ 0.4

Multiply by -1 and distribute the negative sign:

-w + 125.8 ≤ 0.4

Subtract 125.8 from both sides:

-w ≤ -125.4

Divide by -1 (note that the inequality direction flips):

w ≥ 125.4

Combining the solutions, we have:

125.4 ≤ w ≤ 126.2

The object is 125.4 ≤ w ≤ 126.2.

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The equivalent polynomial function is f(x) = -x^3 + 4x^2 = x^2(x - 4)(x^2)

To find the factor form of the given polynomial function f(x) = -x^3 + 4x^2, we need to use the zeros given as inputs. We know that the zeros of a function are the values of x that make the function equal to zero.

We are given two zeros: x = 0 with a multiplicity of 2, and x = 4 with a multiplicity of 1. This means that (x - 0) is a factor of multiplicity 2, and (x - 4) is a factor of multiplicity 1.

To find the other factor, we can use polynomial long division or synthetic division. Since (x - 0) is a factor of multiplicity 2, we will divide f(x) by (x - 0)^2 or (x - 0)(x - 0).

Using polynomial long division or synthetic division, we get:

 -x + 4  

____________

x^2 | -x^3 + 4x^2 + 0x + 0

-(-x^3)

_______

0x^2

0x^2

______

4x^2

-4x^2

______

0

Therefore, we get:

f(x) = -x^3 + 4x^2 = x^2(x - 4)

So the factor form of the given polynomial function is:

f(x) = -x^3 + 4x^2 = x^2(x - 4)(x - 0) = x^2(x - 4)^1(x - 0)^2

or equivalently:

f(x) = -x^3 + 4x^2 = x^2(x - 4)(x^2)

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Despite traditional economic theory suggesting that an increase in the minimum wage should lead to unemployment, the actual impact on employment has been more nuanced. Empirical evidence suggests that moderate increases in the minimum wage have not led to massive job losses, but rather have resulted in small increases in labor costs that are offset by increased productivity and reduced employee turnover. Additionally, higher wages can increase consumer spending, leading to an increase in demand for goods and services, which can ultimately create more jobs.

There are several reasons why the federal minimum wage in the US is lower than in other developed countries. One reason is the political climate in the US, where there is often resistance to government intervention in the labor market. Additionally, many US states have their own minimum wage laws, which can be higher than the federal minimum wage. Finally, the US has a large low-skilled immigrant workforce, which can put downward pressure on wages.

I am not okay with the real minimum wage falling over time with the rise of inflation. Inflation erodes the purchasing power of workers, making it difficult for them to make ends meet. This can lead to increased financial hardship, which can have negative effects on individuals and families. Furthermore, the minimum wage was originally designed to ensure that workers earn a living wage, which is a basic necessity for a decent standard of living. As such, it is important that the minimum wage keep pace with inflation.

According to the Bureau of Labor Statistics, in 2021, about 1.9 million workers in the US earned at or below the federal minimum wage of $7.25 per hour. However, many more workers earn slightly above the minimum wage, and an increase in the minimum wage could potentially raise wages for those workers as well. Additionally, many states have higher minimum wage rates than the federal minimum wage, which means that the number of workers affected by changes to the minimum wage will vary depending on the state.

~~~Harsha~~~

Answer:

8.000075

Step-by-step explanation:

1.3 x 10 is 13 that - 5 is 8 n then u just add the .000075 to it