Find the slope of the line passing through the points (-6, 2) and (-6, -1).

Answer

The slope of the function is 5.

Step-by-step explanation:

Answer:

∠ A ≈ 24.1°

Step-by-step explanation:

Using the law of sines , then

\(\frac{9}{sinA}\) = \(\frac{21}{sin72}\) ( cross- multiply )

21 × sinA = 9 × sin72° ( divide both sides by 21 )

sinA = \(\frac{9sin72}{21}\) , then

∠ A = \(sin^{-1}\) ( \(\frac{9sin72}{21}\) ) ≈ 24.1° ( to the nearest tenth )

Answer:

-2.5 degrees

Step-by-step explanation:

The temperature decreased 18.5 degrees F in 7.4 hours.

-

-18.5/7.4 = -2.5 degrees F

The average change in temperature over the course of 7.4 hours is -2.5 degrees F.

Your welcome!

Kayden Kohl

8th Grade

The name of every month ends in the letter y is the given statement. February is a counterexample to this statement. This is because February does not end with the letter 'y'. So the right  option is (c) February.

What is a counterexample?

In mathematics, a counterexample is an example that opposes or disproves a statement, proposition, or theorem. It is a scenario, an instance, or an example that goes against the given statement.

Therefore, a counterexample demonstrates that the given statement is false or invalid.In this case, the statement is: "The name of every month ends in the letter y." We have to find which of the months listed does not end in "y."February is the only month in the options listed that does not end in the letter "y."

Thus, it is a counterexample to the given statement. Therefore, the correct option is C, February.

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Therefore, the initial number of party favor bags Razi had to fill is 20.

To determine the initial number of party favor bags Razi had to fill, we need to analyze the relationship between the time and the number of bags remaining.

Looking at the table, we can observe that the number of bags remaining decreases by 4 for every additional minute of work. This suggests a constant rate of filling the bags.

From the given data, we can see that at the starting time (4 minutes), Razi had 36 bags remaining. This implies that for each minute of work, 4 bags are filled.

To calculate the initial number of bags, we can subtract the number of bags filled in 4 minutes (4 x 4 = 16) from the number of bags remaining initially (36).

36 - 16 = 20

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No shes not.

You need to add all the sides if finding perimeter

Answer:

no

Step-by-step explanation:

the equation should only have one 5, the other 5 doesn't matter for perimeter

The correct choice for the sentence is option c: "Their, to lose."

In the sentence, referring to multiple museums, the possessive pronoun "their" is used to indicate ownership, and the phrase "to lose" appropriately conveys the risk faced by the museums.

The subject of the sentence is "Museums," which is a plural noun. Since the sentence is discussing multiple museums, the possessive pronoun "their" is the correct choice to show ownership. Using "their" indicates that the museums collectively possess something, in this case, their fickle goodwill.

Additionally, the phrase "to lose" accurately portrays the risk faced by the museums. It implies that the museums are at risk of losing their fickle goodwill due to factors like the fickleness of governments and the public. Therefore, option c, "Their, to lose," provides the appropriate usage of the possessive pronoun and conveys the intended meaning of the sentence.

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Answer:

(x + 13, y + 7)

Step-by-step explanation:

Hello there!

In order to find what the translation rule is, we need to find how much it move to the right/left and up/down

In this case, the line segment VW moved up 7 and to the right by 13

We can get this by checking how far apart the points are

I checked how far apart V and V prime

(V prime is the green V. When a point is primed, its just saying that the point has gone through translation, rotation, dilation, or reflection)

V is 13 units to the left of V prime and 7 units below V prime

This means that, to go from line VW to line V prime W prime, you need to shift the line up 7 units and to the right 13 units

So, the translation rule is (x + 13, y + 7)

*If you don't understand, tell me in the comments, I will try to explain further to your understanding. Thank you, and have a great rest of your day :)*

Answer:

122.

Step-by-step explanation:

nthe term = a1 + d(n - 1) so here:

20th term = -30 + 8(20 - 1)

- 30 +  152

= 122.

The correct option is: No such complex number exists.

Given that a is positive real number and z|z| - a z + 1 = 0, z = a + 2j,

To solve the given equation z|z| - a z + 1 = 0, let's substitute z = a + 2j:

(a + 2j)|a + 2j| - a(a + 2j) + 1 = 0

Now, let's simplify this equation:

(a + 2j)√((a + 2j)(a + 2j)) - a(a + 2j) + 1 = 0

(a + 2j)√(a² + 4aj - 4) - a² - 2aj + 1 = 0

Expanding the square root:

(a + 2j)√(a² + 4aj - 4) - a² - 2aj + 1 = 0

(a + 2j)√(a² + 4aj - 4) - a² - 2aj + 1 = 0

Now, we can equate the real and imaginary parts of the equation to find the values of 'a' that satisfy the equation.

Real part:

a² - 2aj + 1 = 0

Imaginary part:

(a + 2j)√(a² + 4aj - 4) = 0

From the real part, we have:

a² + 1 = 0

a² = 1

a = ±1

From the imaginary part, we have:

(a + 2j)√(a² + 4aj - 4) = 0

Substituting the values of a:

(1 + 2j)√(1 + 4j - 4) = 0

(1 + 2j)√(-3 + 4j) = 0

Since the square root of a negative number cannot be zero, we conclude that there is no such complex number 'z' that satisfies the given equation.

Therefore, the correct option is: No such complex number exists.

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Clear question =

If a is a positive real number, z = a+2 j, and z|z| - a z+1 = 0, then

options =

a² = 4  

a² = 2

No such complex number exists

Z  is pure imaginary

Answer:

Step-by-step explanation:

Are you in Calculus?  These are calculus concepts!

To calculate the rate of change here you must specify an interval, e. g., "what is the rate of change on the interval (0, 3)?"

If you know calculus:  The 'rate of change' on the interval (a, b) is

                f(b) - f(a)

r. of c. = --------------------

                    b - a

Have you used this formula before?

Because of the 'x^2' term this is NOT a linear function.

If you want more explanation, provide an interval on which you want the average rate of change and ask specific questions of your own.

Answer:

what graph

Step-by-step explanation:

Answer:

C.

That's the answer.

Hope this helps!

Step-by-step explanation:

The measures of the other two sides of LMN are approximately 10.67cm and 16 centimeter.

We can start by using the fact that similar triangles have proportional side lengths.

Let x be the length of the side of LMN that is similar to EF. Then, we can set up the following proportion:

 \(\frac{LMN}{EF}=\frac{x}{15}\)

We can cross-multiply to get:

\(LMN=\frac{x}{15} \times EF\)

Next, we can use the fact that EFD is similar to LMN to set up another proportion:

\(\frac{LMN}{EFD}=\frac{x}{6}\)

We can cross-multiply to get:

\(LMN=\frac{x}{6} \times EFD\)

Now we can substitute the expressions we found for LMN in terms of x into both sides of the equation:

\(\frac{x}{15} \times EF\)=   \(\frac{x}{6} \times EFD\)

Substituting the given values, we get:

\(\frac{x}{15} \times 15\) =   \(\frac{x}{6} \times 8\)

Simplifying, we get:

x = 20

The length of the other two sides of LMN are:

 \(\frac{20}{15} \times 8\)= 10.67cm and  \(\frac{20}{15} \times 12\)

= 16cm

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Answer:

the quotient is 2x^2+10x-5

Answer:

\(f(0)=g(0)\) and \(f(2) = g(2)\)

Step-by-step explanation:

According to the question, the curved red line represents \(g(x)\) and the straight blue line represents \(f(x)\).

The important thing here is that the equality of functions \(f(x)=g(x)\) is represented as a common function between their curves. So, we just need to find such a common point for both.

\(f(x)\) has points (0, 4) and (2, 0).

\(g(x)\) has points (0,4) and (2,0).

Notice that both functions have the same y-value for x=0 and x=2, that means

\(f(0)=g(0)\) and \(f(2) = g(2)\).

Therefore, the right answer is the first choice.

The correct answer is option A which is f(2) = g(2) and f(0) = g(0)

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

According to the question, the curved red line represents g(x) while the straight blue line represents f(x).

The important thing here is that the equality of functions f(x) = g(x)  is represented as a common function between their curves. So, we just need to find a common point for both.

f(x) has points (0, 4) and (2, 0).

g(x) has points (0,4) and (2,0).

Notice that both functions have the same y-value for x=0 and x=2, which means

f(2) = g(2) and f(0) = g(0)

Therefore correct answer is option A which is f(2) = g(2) and f(0) = g(0)

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A type II error is a statistical term used to describe the failure to reject a false null hypothesis. It occurs when the null hypothesis is actually false but is not rejected because the statistical test failed to find significant evidence against it.

In other words, it happens when an alternative hypothesis is true, but we fail to reject the null hypothesis.

Types of errors in hypothesis testing

There are two types of errors in hypothesis testing:

Type I error: Rejecting a true null hypothesis

Type II error: Failing to reject a false null hypothesis.Type I error occurs when a true null hypothesis is rejected while Type II error occurs when a false null hypothesis is not rejected. These types of errors are inversely related, meaning that a decrease in one type of error causes an increase in the other.

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Answer:

The length of P'Q' is 4 units

The length of P'R' is 3 units

Step-by-step explanation:

If you rotate the figure 180° then the vertex would be R, and from P to Q is 3 units left and 4 units down

By using the x- and y-intercepts, a graph of the function modeling the total number of tickets sold is shown in the image attached below.

The domain and range of each function is {-∞, ∞}.

The meaning of the x-intercept is that the initial number of student tickets sold is 600 tickets.

The meaning of the y-intercept is that the initial number of adult tickets sold is 300 tickets.

The slope of the function is 0.5 and it represents the number of tickets sold per week.

You can use the graph to determine a combination of ticket sales to meet the goal of $3,000 by adding each ordered pair (s, a) or (x, y) together.

Felina's graph is correct because it has the same x-intercept and y-intercept with the original graph.

In order to write a linear equation to describe this situation, we would a assign variable to the number of student tickets sold and the adult tickets sold respectively, and then translate the word problem into a linear equation as follows:

Since student are paying $5 while adults are paying $10 for a ticket and the athletic association need to raise $3000 by selling tickets, a linear equation that models the situation is given by:

5s + 10a = 3000

When s = 0, the value of a is given by:

5(0) + 10a = 3000

a = 300

When a = 0, the value of s is given by:

5a + 10s = 3000

s = 600

For the total number of tickets, we have this linear equation:

s + a = 450

In conclusion, we would use an online graphing calculator to plot the system of linear equations in order to determine the solution (point of intersection), which is at the ordered pair (300, 150).

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Complete Question:

The Marshall High School Athletic Association sells tickets for the weekly football games. Students pay $5 and adults pay $10 for a ticket. The athletic association needs to raise $3000 selling tickets to send the team to an out-of-town tournament.

1. Use x- and y-intercepts to graph the function modeling the total number of tickets sold on each coordinate plane.

2. Determine the domain and range of each function

The equation that represents the price of a student ticket will be 54 = x/4 + 25. Sara's spend for a student ticket will be $116.

The allocation of values to the parameters that produce the calculation's balance is known as an outcome.

Sara and her mom are planning to attend the symphony. An adult ticket is $54. A ticket for 1/4 an adult costs $25 more than it would be for a student.

Let x be the amount of pay for student's tickets. Then the equation will be

54 = x / 4 + 25

Simplify the equation, then we have

x / 4 = 54 - 25

x / 4 = 29

x = $116

The equation that represents the price of a student ticket will be 54 = x/4 + 25. Sara pays for a student ticket will be $116.

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The inverse Laplace transform of ℒ−1(6s^2/49) is given by the function (6/49) * t^2.

To find the inverse Laplace transform of ℒ−1(6s^2/49), we can use Theorem 7.2.1. According to this theorem, the inverse Laplace transform of a constant times s^n is given by:

ℒ−1(as^n) = a * t^n

Applying this theorem to our problem, we have:

ℒ−1(6s^2/49) = 6 * ℒ−1(s^2/49)

Since s^2/49 is a simple algebraic expression, we can directly apply the theorem:

ℒ−1(s^2/49) = (1/49) * t^2

Now, substituting this result back into the previous equation, we get:

ℒ−1(6s^2/49) = 6 * (1/49) * t^2

Simplifying further, we have:

ℒ−1(6s^2/49) = (6/49) * t^2

So, the inverse Laplace transform of ℒ−1(6s^2/49) is given by the function (6/49) * t^2.

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Answer:

BD

Step-by-step explanation:

The radius is "a straight line from the center to the circumference of a circle." BD is the correct option, but AD and DC would work, as well.

Answer:

BD, sory Im late! Give other person brainliest. You're doing great! Have a wonderful day! Remember your worth!

Answer:

39

Step-by-step explanation:

used a calculator

Answer: The sum of the number of angles in a polygon is (n-2) * 180, where n is the number of sides, so the sum of the angles of a  17-sided polygon is (17-2) * 180 = 2700.

Step-by-step explanation:

The y-intercept of the line is (0 -6). The given function has no vertical and horizontal asymptotes

A linear equation is an equation that has a leading degree of 1. Given the equation

g(x) = 4x - 6

The y-intercept occurs at a point where x = 0

g(0) = 4(0) - 6

g(0) = -6

Hence the y-intercept of the line is (0 -6)

The given function has no vertical and horizontal asymptotes

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Prem purchased a plot for ₹1.1 lakh and its price increased at an annual rate of 5%.Ram's flat had a higher value than Prem's plot, Prem paid Ram the difference, which was ₹0.118 lakh or ₹11,800. Ram's flat is more valuable than Prem's plot of land

After two years, the value of Ram's flat would be ₹1.1 lakh + (10% of ₹1.1 lakh × 2 years) = ₹1.43 lakh.

Similarly, the value of Prem's plot of land would be ₹1.1 lakh + (5% of ₹1.1 lakh × 2 years) = ₹1.21 lakh.

Therefore, the difference in value between Ram's flat and Prem's plot of land is ₹1.43 lakh - ₹1.21 lakh = ₹22,000.

Ram would have to pay ₹22,000 to Prem as Ram's flat is more valuable than Prem's plot of land.

Ram purchased a flat for ₹1.1 lakh and its price increased at an annual rate of 10%. After two years, the flat's value would be:

1.1 lakh * (1 + 0.1)^2 = 1.1 lakh * 1.21 = ₹1.331 lakh

Prem purchased a plot for ₹1.1 lakh and its price increased at an annual rate of 5%. After two years, the plot's value would be:

1.1 lakh * (1 + 0.05)^2 = 1.1 lakh * 1.1025 = ₹1.213 lakh

After exchanging their properties, the difference in value is:

₹1.331 lakh (flat) - ₹1.213 lakh (plot) = ₹0.118 lakh

Since Ram's flat had a higher value than Prem's plot, Prem paid Ram the difference, which was ₹0.118 lakh or ₹11,800.

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Answer:

It would take 3 minutes

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

The slope of the line passing through the points (-2, 8) and (4, 6) is -1/3 .

We know that the slope of a line passing through two given points is calculated by the formula:

\({\displaystyle m={\frac {y_{2}-y_{1}}{x_{2}-x_{1}}}.}\)

Now the given points are (-2, 8) and (4, 6)

Hence slope = (6-8) / (4-(-2)) = -2/6 = -1/3

The slope of a line indicates its slope and direction. Finding the slope of lines in a coordinate plane can help predict whether two lines are parallel, perpendicular, or have no relationship at all without actually using a compass.

The slope of a line can be determined using any two distinct locations on the line. The slope of a line formula is used to determine the ratio of "vertical change" to "horizontal change" between two different points on a line. In this essay, we will understand the slope-finding method and its uses.

Therefore the slope of the line is -1/3

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