Find the distance between (−3, 8) and (4, 1). Round your answer to the nearest tenth.
In distance units.
GIVING TONS OF BRAINIEST!!

2(x - 10) = y is our inverse relation, written in the form of y = mx + b. So the equation for the inverse of y = (1/2)x + 10 is: y = 2x - 20

To find the equation for the inverse of the relation y = (1/2)x + 10, we need to switch the roles of x and y, and solve for y.

Let's start by writing the relation in the form of y = mx + b, where m is the slope and b is the y-intercept:

y = (1/2)x + 10

Now, let's switch x and y:

x = (1/2)y + 10

To solve for y, we'll isolate it on one side of the equation. First, let's subtract 10 from both sides:

x - 10 = (1/2)y

Next, let's multiply both sides by 2 to get rid of the fraction:

2(x - 10) = y

This is our inverse relation, written in the form of y = mx + b. So the equation for the inverse of y = (1/2)x + 10 is:

y = 2x - 20

To find the inverse equation of the given relation. The relation is y = (1/2)x + 10.

To find the inverse, we'll follow these steps:
1. Swap x and y variables: x = (1/2)y + 10
2. Solve for y:

First, subtract 10 from both sides:
x - 10 = (1/2)y

Next, multiply both sides by 2 to isolate y:
2(x - 10) = y

So, the inverse relation is y = 2(x - 10) or y = 2x - 20.

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Answer:

A. 8/5

Step-by-step explanation:

Step-by-step explanation:

15+10z=105

10z=105-15

10z=90

z=9

To find the side length of a regular 36-gon with an apothem of 228.6 m, we need to use the formula:
Side length = 2 x apothem x tan(180/n)

where n is the number of sides in the polygon. Substituting the given values, we get:

Side length = 2 x 228.6 m x tan(180/36)
Side length = 2 x 228.6 m x tan(5)
Side length = 2 x 228.6 m x 0.0875
Side length = 40 m

Therefore, the side length of the regular 36-gon is 40 meters. The apothem is the distance from the center of the polygon to the midpoint of a side, and by using the formula above, we were able to calculate the length of one side of the polygon.
To find the side length of a regular 36-gon with an apothem of 228.6 meters, we'll use trigonometry. In a regular polygon, the apothem serves as the radius of the inscribed circle and forms a right triangle with half of the side length and the center of the polygon.

Step 1: Divide the 36-gon into 36 equal triangles.
Step 2: Find the central angle of each triangle: 360°/36 = 10°.
Step 3: Calculate half the central angle: 10°/2 = 5°.
Step 4: Use the tangent function for the right triangle: tan(5°) = (side length/2) / 228.6.
Step 5: Solve for the side length: side length = 2 * 228.6 * tan(5°) ≈ 39.7 meters.

The side length of the regular 36-gon is approximately 39.7 meters.

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Answer to given question is: Value of g(12) = -7.

We need to follow these steps:

1. Determine the derivative of f(x) on the interval [10, 12].
Since f'(c) = g'(x) on [10, 12], we know that the derivatives of f(x) and g(x) are equal over this interval.

2. Find the change in f(x) over the interval [10, 12].
The change in f(x) is given by f(12) - f(10) = 11 - 9 = 2.

3. Calculate the change in g(x) over the interval [10, 12].
Since the derivatives of f(x) and g(x) are equal over this interval, their changes over the interval must also be equal. Therefore, the change in g(x) is also 2.

4. Find the value of g(12) using g(10) and the change in g(x).
Since g(10) = -9 and the change in g(x) is 2, we have g(12) = g(10) + change in g(x) = -9 + 2 = -7.

So the value of g(12) is -7.

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Answer: 50.24

Step-by-step explanation: 4x4x3.14 / radius x radius x pi/  3.14

Answer:  see below

Step-by-step explanation:

Use the Exponential function: y = a(b)ˣ   where

\(\underline{\text{Australia:}}\\y=19,169,000(1.006)^5\\=\large\boxed{19,751,012}\\\\\\\underline{\text{China:}}\\y=1,261,832,000(1.009)^5\\=\large\boxed{1,319,645,764}\\\\\\\underline{\text{Mexico:}}\\y=100,350,000(1.018)^5\\=\large\boxed{109,712,539}\\\\\\\underline{\text{Zaire:}}\\y=51,965,000(1.031)^5\\=\large\boxed{60,534,681}\)

In univariate data, only one variable is assessed for each person. Two variables are measured for each person in bivariate data.

The definition of univariable data is "one variable," and it is generally understood to be one sort of data. It is one of the straightforward methods for data analysis. The data in univariable data only include one variable.

The cat's weight, for instance, is 10, 15, 25, 27, 30, 35, and 40.

The variable is hence "Cat weight."

The definition of bivariate data is "Two Variable," and it essentially consists of two different forms of data. It is a straightforward type of statistical analysis.

Only one variable is analysed at a time in univariate statistics. Two variables are compared in bivariate statistics. Multiple variables are compared using multivariate statistics.

In a bivariate analysis, the correlations between the two variables are measured. When there are more than two variables in the data set, a more complicated statistical analysis technique called multivariate analysis is utilized.

Therefore,

In univariate data, only one variable is assessed for each person. Two variables are measured for each person in bivariate data.

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In a right triangle with cos0 = 4/5, the exact value of cot(0) is 4/3.

In a right triangle, if cos0 = 4/5, then the exact value of cot(0) can be found using the Pythagorean Theorem and the definition of cotangent.

First, let's use the Pythagorean Theorem to find the third side of the right triangle.

If cos0 = 4/5, then the adjacent side is 4 and the hypotenuse is 5. The Pythagorean Theorem states that a^2 + b^2 = c^2, where a and b are the legs of the right triangle and c is the hypotenuse. Plugging in the known values, we get:

4² + b² = 5²
16 + b² = 25
b² = 9
b = 3

Now that we know the third side of the right triangle, we can use the definition of cotangent to find the exact value of cot(0).

Cotangent is defined as the ratio of the adjacent side to the opposite side. In this case, the adjacent side is 4 and the opposite side is 3, so:
cot(0) = 4/3

Therefore, the exact value of cot(0) is 4/3.

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Answer:

D. 4

Step-by-step explanation:

The lines cross on the point (2.5,4), this is the only place on the graph where the lines share the same y-value.

Answer:

3 terms

Step-by-step explanation:

Null and alternative hypothesis are statements about the sample statistics.

The null hypothesis of both a test typically forecasts no effect or no association between variables, even while the alternative hypothesis expresses their research's prediction of an effect or relationship.

Because Student's t distribution will be less leptokurtic as both degrees of freedom increase, the likelihood of extreme values decreases. Gradually, the distribution resembles a standard normal distribution.

The two primary forms of probability distributions are discrete probability distributions and continuous probability distributions. Each category includes a variety of probability distribution types.

The average relative frequency over all potential trials is known as probability.

For instance, the probability of a coin falling on heads is such that if you flip a coin an infinite number of times, it will land on heads 50% of the time.

Hence we can say that the Null and alternative hypothesis are statements about the sample statistics.

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We can use the formula for joint variation, which states that a variable varies jointly with two other variables if it is proportional to their product.

In this case, we have:

2 = kxy^(2/3)

where k is a constant of proportionality. To solve for k, we can use the given values of x and y:

2 = k(3)(64^(2/3))

k = 2/(3*64^(2/3))

Now we can use this value of k to find Z when x = 6 and y = 8:

Z = kx^2y^(1/3)

Z = (2/(364^(2/3))) * (6^2)(8^(1/3))

Z ≈ 20.76

Therefore, when x = 6 and y = 8, Z is approximately 20.76.

In this problem, we used the concept of joint variation to find a formula for 2 in terms of x and y. We then solved for the constant of proportionality, k, using the given values of x and y.

Finally, we used this value of k to find Z when x = 6 and y = 8. The process involved using algebraic manipulations and substitution, and the final answer was obtained by plugging in the values of x and y into the formula we derived.

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Answer:

Part A: 60

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60.

12, 24, 36, 48, 60.

---------------------------------

Part B: 9

81 / 72 = 9

----------------------------------

Part C: 9 (8 + 9)

GCF of 72 and 81 is 9...

Divide 72 by 9 and get 8.

Divide 81 by 9 and get 9.

To check multiply 9 with 8, and multiply 9 by 9.

----------------------------------

Easy! :D (if you don't mind, may I get brainliest please?)

Answer:

The solution for the system of right triangles are, respectively: \(a = 2\sqrt{6}\), \(b = 4\sqrt{3}\), \(c = 4\sqrt{6}\), \(d = 6\sqrt{2}\)

Step-by-step explanation:

By Geometry, we get the following equivalencies:

\(a = 2\sqrt{6}\) (45 - 45 - 90 Theorem)

\(b = \sqrt{2}\cdot (2\sqrt{6})\) (45 - 45 - 90 Theorem)

\(b = 4\sqrt{3}\)

\(c = \frac{2\sqrt{6}}{\frac{1}{2} }\) (30 - 60 - 90 Theorem)

\(c = 4\sqrt{6}\)

\(d = \frac{2\sqrt{6}}{\frac{\sqrt{3}}{3} }\) (30 - 60 - 90 Theorem)

\(d = 6\sqrt{2}\)

Answer:

x=1

Step-by-step explanation:

-4+7x=3 add 4 to both sides

7x=7 divide 7 on both sides

x=1

Answer:

0.45

Step-by-step explanation:

Hope this helps

Correct me if this is wrong

The given statements describe various challenges and themes related to governance, democracy, and social justice.

They encompass debates over governmental authority, the alignment of democratic ideals with social realities, resistance to democratic initiatives, and activism addressing issues of identity and social justice. The authority of different branches of government is often a subject of debate in democratic societies. This includes discussions and disputes over the separation of powers, checks and balances, and the appropriate distribution of authority among the executive, legislative, and judicial branches.

Matching democratic ideals to social realities involves grappling with the implementation and realization of democratic principles in a diverse and complex society. It entails addressing issues such as inequality, discrimination, and social disparities that may hinder the full realization of democratic values and goals.

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Answer:

x = 74°

Step-by-step explanation:

opposite sides are congruent causing it to have the same angle

Answer:

x = 74

Step-by-step explanation:

Opposite angles of a parallelogram are congruent

hence x = 74

If the variables "r" and "s" are inversely proportional and r=7 when s=6 , then when r = 10 , value of "s" will be 4.2 .

When the two variables are inversely proportional, their product is constant. That means, for two variables "r" and "s" , the it is represented in equation as :

⇒ r × s = k, where k is a constant ;

the value of variable "r" = 7 when s = 6,

First , we have to find the value of k:

⇒ k = r × s = 7 × 6 = 42 ;

So, for any value of r and s, the product "rs" will always be equal to 42.

When r = 10, we can use the equation to find s:

⇒ s = k/r = 42/10 = 4.2

Therefore , when r = 10 , the variable "s" is 4.2.

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Answer:

(-2,12)(-1,10)(0,8)(1,6)

Step-by-step explanation:

It has a constant slope of -2/1  *y2-y1/x2-x1*

True. When performing econometric analysis on time-series data, it is a best practice to sort the data in chronological order. Econometric analysis involves using statistical methods to study and understand economic relationships, trends, and patterns.

Time-series data refers to a set of observations collected at regular intervals over time, such as stock prices, GDP growth, or unemployment rates.

Sorting the data in chronological order is essential because it allows for a proper understanding of the temporal relationship between different data points. This ordering helps researchers identify patterns, trends, and potential causal relationships within the data. Additionally, many econometric models, such as autoregressive or moving average models, rely on the assumption that the data points are arranged sequentially in time.

In summary, when conducting econometric analysis on time-series data, it is crucial to sort the data in chronological order to accurately analyze patterns, trends, and relationships. This practice enables researchers to develop robust models that can be used for forecasting and understanding the underlying economic processes.

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please give brainliest

Answer:

To shift the graph of the function f(x) = cos(x) downward by 2.5 units, you can subtract 2.5 from the function. The equation of the middle for the shifted function would be:

f(x) = cos(x) - 2.5

Answer:

y=-2.5

Step-by-step explanation:

f(x) =0 -2.5

y=-2.5

Hope this helped buddy

peace ️

Answer:

3

Step-by-step explanation:

could the length of the first triangle to the length of the second triangle

Answer:

2. is x = -3

Step-by-step explanation:

-3( x - 3) = 12

multiply the things in the () by -3

-3x+9=12

subtract 9 from both sides

-3x+9-9=12-9

-3x=3

divide both sides of the equation by -3

x = -3

Answer:

1.  280.40

350.50*.20=70.10

350.50-70.10=280.40

2.x=−1

-3*3=--9+-3x

-3x/3= -1  x= -1

3.=15(3t−1)

Because 45t/15= 3 then 15/15=1

4.  =−0.8m+10

Let's simplify step-by-step.

3.5m+2−(4.3m−8)

Distribute the Negative Sign:

=3.5m+2+−1(4.3m−8)

=3.5m+2+−1(4.3m)+(−1)(−8)

=3.5m+2+−4.3m+8

Combine Like Terms:

=3.5m+2+−4.3m+8

=(3.5m+−4.3m)+(2+8)

=−0.8m+10

Answer:

=−0.8m+10

5.  Perimeter is adding all side sooo.22x -2

6x -2 + 6x-2=  12x - 4

5x +1 +5x+1= 10x+2

12x -4 +10 + 2= 22x -2

Step-by-step explanation:

Hope this helps you.^_^

Answer:

Domain: x is greater than or equal to 0

Range: y is greater than or equal to -5

So the answer for domain is e.

And the answer for range is a.

For a writer of historical fiction, the most likely source to be used would be personal letters written during a previous century.

Personal letters from the time period being depicted in the historical fiction can provide valuable insights into the language, culture, perspectives, and experiences of individuals living in that era. They offer a firsthand account and a more personal and intimate glimpse into historical events and the daily lives of people from the past. This kind of primary source material can help a historical fiction writer create a more authentic and realistic portrayal of the time period and its characters.

While all the other sources mentioned (recent newspaper story, scientific article, and encyclopedia entry) can provide useful information, personal letters hold a unique value in capturing the lived experiences and sentiments of individuals from the historical period, making them particularly valuable for historical fiction writing.

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