What is the scale factor for this dilation?

The simplified version of (sec a - cosec a) / (sec a + cosec a)  is cosec 2a(cosec 2a - 2) / (sec²a - cosec²a).

The study of correlations between triangles' side lengths and angles is known as trigonometry. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.

Given:

(sec a - cosec a) / (sec a + cosec a)

Multiply the numerator and denominator by (sec a - cosec a)

(sec a - cosec a) / (sec a + cosec a)  × (sec a - cosec a)

(sec²a + cosec²a -2sec a cosec a) / (sec²a - cosec²a)

As we know,

\(sec^2a + cosec^2a = sec^2a \ cosec^2a\)

sec² a cosec² a - 2sec a cosec a /  (sec²a - cosec²a)

sec a cosec a (sec a cosec a - 2) / (sec²a - cosec²a)

cosec 2a(cosec 2a - 2) / (sec²a - cosec²a)

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Answer:

5y=10-2x

y=(10-2x)/5

2x=10-5y

X=(10-5y)/2

In the given coordinate plane, based on the given dilation the line r has slope 8 and coordinate (0,8)

Dilation:

Dilation refers the ratio of the given line to line by the scale factor.

Given

In the coordinate plane, line p has slope 8 and y-intercept (0, 5). Line r is the result of dilating line p by a factor of 3 with center (0, 3).

Here we need to find the the slope and y-intercept of line r.

Here we know that scale factor is 3.

Let us consider the slope of the line r will not change and the intercept is the addition of their ordinate will be.

So, it can be written as,

=> Intercept = 5 + 3

=> Intercept = 8

Therefore, the line r has slope 8 and coordinate (0.8).

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keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

\(x-3y=9\implies -3y=-x+9\implies y=\cfrac{-x+9}{-3} \\\\\\ y=\cfrac{-x}{-3}+\cfrac{9}{-3}\implies y=\cfrac{1}{3}x-3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so we're really looking for the equation of a likne whose slope is 1/3 and it passes through (-10 , 9)

\((\stackrel{x_1}{-10}~,~\stackrel{y_1}{9})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{ \cfrac{1}{3}}(x-\stackrel{x_1}{(-10)}) \implies y -9= \cfrac{1}{3} (x +10) \\\\\\ y-9=\cfrac{1}{3}x+\cfrac{10}{3}\implies y=\cfrac{1}{3}x+\cfrac{10}{3}+9\implies {\Large \begin{array}{llll} y=\cfrac{1}{3}x+\cfrac{37}{3} \end{array}}\)

Answer:

x = 15

Step-by-step explanation:

Hope This Helps!

Knowing the correlations between variables allows us to make predictions using regression because it helps us understand how the variables are related to each other.

In this specific case, we have two variables: DMS (dependent variable) and SRD (independent variable). By examining the correlations between DMS and SRD, we can determine the strength and direction of their relationship.

If there is a strong positive correlation between DMS and SRD, it means that as SRD increases, DMS tends to increase as well. On the other hand, if there is a strong negative correlation, it means that as SRD increases, DMS tends to decrease.

Using regression analysis, we can build a mathematical model that represents the relationship between DMS and SRD based on the observed correlations. This model allows us to estimate or predict the value of DMS for a given value of SRD.

Therefore, knowing the correlations between DMS and SRD enables us to use regression analysis to make predictions about DMS based on the values of SRD.

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Answer:

AC^2+BC^2= AB^2

So 5^2+8^2=c^2

5 squared + 8 squared = c squared

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Answer:

c

Step-by-step explanation:

a. there are 524,288 frames in the system. b. the maximum number of frames is determined by the number of bits required to represent the page number, and the number of pages that can be addressed is limited by the size of the logical address space. c. 3 bits are needed to represent the page number 8, and 12 bits are needed to represent the offset 12.

a) The system has 524,288 frames. This can be calculated by dividing the maximum size of the logical address space (1MB) by the size of each frame (4KB).

1MB = 2^20 bytes

4KB = 2^12 bytes

Number of frames = (1MB / 4KB) = (2^20 / 2^12) = 2^(20-12) = 2^8 = 256

Therefore, there are 524,288 frames in the system.

b) The maximum number of frames that can be allocated to a process in this system is 256. This is because the maximum number of frames is determined by the number of bits required to represent the page number, and the number of pages that can be addressed is limited by the size of the logical address space.

c) i. The page number 8 can be represented using 3 bits. This is because there are 2^3 = 8 possible page numbers (0 to 7).

ii. The offset 12 can be represented using 12 bits. This is because there are 2^12 = 4,096 possible offsets (0 to 4,095).

Therefore, 3 bits are needed to represent the page number 8, and 12 bits are needed to represent the offset 12.

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The total amount of the bill, including tax and gratuity, was $191.85.

What is the percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

The first step is to calculate the amount of tax and the amount of gratuity:

Amount of tax = 6% of $158.56 = $9.51

Amount of gratuity = 15% of $158.56 = $23.78

Next, we add the tax and the gratuity to the original bill:

Total bill = $158.56 + $9.51 + $23.78 = $191.85

Therefore, the total amount of the bill, including tax and gratuity, was $191.85.

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Benji made par or better on 7 holes in his round so far.

the ratio of holes with par or better to total holes played is equal to 0.4. We need to determine on how many of the holes Benji has made par or better. Table that shows the number of holes Benji has played during his round so far is shown below: Number of holes played in round so far Holes played 6 12 18Number of holes with par or better Number of holes played

2x 6 0.4

The ratio of the number of holes with par or better to the total number of holes played is 0.4.So, (Number of holes with par or better) /

(Number of holes played) = 0.4

Number of holes with par or better

/ (6 + 12 + 18) = 0.42x / 36 = 0.4

Cross-multiplying the above equation, we get,

2x = 0.4 x 36 = 14.4Dividing by 2 on both sides, we get x = 7.2

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Answer:

419

Step-by-step explanation:

Tthe height of the building is approximately 321.86 feet.

Using the given information, we can find the height of the building using trigonometry.

Let's assume that the height of the building is represented by "h". Then, we can create a right triangle with the height of the building as the opposite side, the distance from the base of the building as the adjacent side, and the angle of elevation as the angle between them.

We know that the tangent of an angle is equal to the opposite side divided by the adjacent side. Therefore, we can write the equation:

tan(9°) = h/2000

To solve for "h", we can multiply both sides of the equation by 2000:

2000 * tan(9°) = h

Using a calculator, we can evaluate the right-hand side of the equation:

2000 * tan(9°) ≈ 321.86

Therefore, the height of the building is approximately 321.86 feet.

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Answer:

I think it is B

Step-by-step explanation:

Answer:

Choice 4

Step-by-step explanation:

From the question, we know that something divided by 8 is 6. From the choices, we know that the missing number is represented as an x and an n.

We can change the information the question gives us to the equation something / 8 = 6

Choice 4 is the correct one because if we change the “something” to the letter n, it is the same.

I hope this helped and please mark me as brainliest!

Answer:

76

Step-by-step explanation:

THAT SHOULD BE THE CORRECT ANSWER

Mia can create a scale drawing of a football field using a scale of 1:1,000. The scale drawing will provide a Visual representation of the field, allowing for easier analysis and planning.

To create a scale drawing of a football field using a scale of 1:1,000, Mia can follow these steps:

1. Determine the dimensions: The football field's dimensions are given as 120 yards by 53 1/3 yards. Convert the fractional measurement to a decimal for simplicity. In this case, 1/3 yard is approximately 0.333 yards.

2. Decide on the units: Since the scale is 1:1,000, Mia needs to determine the unit of measurement she will use in her scale drawing. For consistency, she can choose to use feet as the unit.

3. Calculate the scaled dimensions: To create the scale drawing, Mia needs to scale down the dimensions of the football field. Since the scale is 1:1,000, she can divide the actual dimensions by 1,000 to obtain the scaled dimensions. The scaled dimensions would be 120 yards / 1,000 = 0.12 yards (or 0.36 feet) for the length and 53.333 yards / 1,000 = 0.053333 yards (or 0.16 feet) for the width.

4. Draw the scaled football field: Using a ruler and a grid paper, Mia can draw a rectangle with dimensions of 0.12 feet by 0.053333 feet (or inches, depending on the size of the grid paper). She can label the sides of the rectangle with the corresponding measurements in feet.

5. Add additional markings: Mia can add other markings to the scale drawing, such as the goal posts, yard markers, and any other important features of the football field. She can refer to the actual measurements and proportions of these elements to ensure accuracy.

By following these steps, Mia can create a scale drawing of a football field using a scale of 1:1,000. The scale drawing will provide a visual representation of the field, allowing for easier analysis and planning.

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Answer:

40

Step-by-step explanation:

Since n=8, then you do 8x5=40.

Answer:

40

Step-by-step explanation:

n x 5

We know what n is equal (8), so we can substitute that number in the given equation.

n x 5 = (8) x 5 = 40

Therefore, the value of n x 5 when n = 8 is 40.

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If a dinner theater charges $20 per person and a table can hold a maximum of five people, the situation represents a function.

In mathematics, function refers to an expression, law or rule that describes a relationship between the independent variable and the dependent variable. A function defines a relation between a set of inputs and a set of potential outputs with the quality property that each input is associated to exactly one output. The provided information can be represented as y = 20x where y is the total charge and x is the number of people, which is a linear function. As the number of people, a table can hold is 5 the domain is represented as 0 ≤ x ≤ 5 and the range is 0 ≤ x ≤ 100 (y = 20*5 = 100).

Note: The question is incomplete. The complete question is A dinner theater charges $20 per person. Your table can hold a maximum of five people. Does the situation represent a function? If so, find the domain and range.

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Answer:

3^x -1

hopefully i helped :)

Answer:

2(x^7+x^5y^2+x^3y^4+y^3x^4+y^5x^2+y^7) under (x^2+xy+y^2)(x^2-xy+y^2)(x^4+x^2y^2+y^4)

Step-by-step explanation:

Using substitution method, the cost of hotel per night is $ 85

Let hotel cost per night = x

Let car rental per day = y

4x + 2y = 500 ____(1)

4x + 5y = 740 ____(2)

Solving for x in the equation

Equation (1) - (2)

-3y = - 240

y = 80

Substitute the value of y in (1)

4x + 2(80) = 500

4x + 160 = 500

4x = 500-160

4x = 340

x = $85

Therefore, hotel cost per night is $85

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Answer:

Total is 3

Step-by-step explanation:

AI-generated answer

Let's start by finding out how many marbles John had initially. We can do this by using the information given in the problem.

Let the original number of marbles be x.

John gave away 3/4 of his marbles, which means he has 1/4 of the original number of marbles left. We can express this as:

1/4 x = the number of marbles John has left

If we solve for x, we get:

4/1 * 1/4 x = 4/1 * the number of marbles John has left

x = 4 * the number of marbles John has left

Now we know that John had 4 times the number of marbles he has left.

Next, John receives another bag of marbles containing 2/4 (which is the same as 1/2) of the original number of marbles.

We can express this as:

1/2 x = the number of marbles in the new bag

To find the total number of marbles John has now, we can add the number of marbles he has left to the number of marbles in the new bag:

Total number of marbles = the number of marbles John has left + the number of marbles in the new bag

Total number of marbles = 1/4 x + 1/2 x

Total number of marbles = (1/4 + 1/2) x

Total number of marbles = (3/4) x

We know that x = 4 times the number of marbles John has left, so we can substitute this into the equation:

Total number of marbles = (3/4) * 4 * the number of marbles John has left

Total number of marbles = 3 * the number of marbles John has left

Therefore, the total number of marbles John has now is 3 times the number of marbles he has left.

Tell me in the commets if you didn't understand a word or something in the equation. :)

Nicotine in menthol cigarettes 90% confidence: n = 22, s = 0.29 mg. df = 21, chi^2_L = 12.44,  chi^2_R =  32.85.  The confidence interval estimate of sigma is  0.168 < σ < 0.267.

The formula for calculating the confidence interval for the population standard deviation, σ, is:

σ = sqrt[((n - 1) * s^2) / χ^2_R,α/2] < σ < sqrt[((n - 1) * s^2) / χ^2_L,α/2]

where n is the sample size, s is the sample standard deviation, and χ^2_L,α/2 and χ^2_R,α/2 are the left and right critical values of the chi-squared distribution with α/2 degrees of freedom, where α is the level of significance.

Using the given information, we have:

n = 22

s = 0.29 mg

Confidence level = 90%

α = 1 - 0.90 = 0.10

Degrees of freedom = n - 1 = 21

To find the critical values of the chi-squared distribution, we can use a chi-squared distribution table or a calculator. For α/2 = 0.05 and 21 degrees of freedom, we find:

χ^2_L,α/2 = 12.44

χ^2_R,α/2 = 32.85

Therefore, the degrees of freedom is 21, the left critical value is 12.44, and the right critical value is 32.85.

Plugging in the values, we have:

σ = sqrt[((n - 1) * s^2) / χ^2_R,α/2] < σ < sqrt[((n - 1) * s^2) / χ^2_L,α/2]

σ = sqrt[((22 - 1) * 0.29^2) / 32.85] < σ < sqrt[((22 - 1) * 0.29^2) / 12.44]

σ = 0.168 < σ < 0.267

Therefore, the confidence interval estimate of σ is 0.17 mg < σ < 0.27 mg (rounded to two decimal places).

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The student earned a total of 6 points by correctly using definite integrals to find f(-2) and f(2), identifying the critical values and absolute minimum value of f(x) and finding f''(-5).

The student earned a total of 6 points in the problem. They earned 3 points in for using an appropriate definite integral to find f(-2), and another point for using a definite integral to find f(2). They did not earn any points.

In next part, they earned 2 points for identifying where f'(x) = 0, and identifying the absolute minimum value of f(x) at x=2. In part (d), they earned 1 point for finding f''(-5), but did not earn the second point due to a contradiction in their reasoning about the differentiability of f(x) at x=3.

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Answer:

The first term is when n= 1

3(1)+2 = 3+2

= 5

The second term is when n= 2

3(2)+2 = 6+2

= 8

The third term is when n=3

3(3)+2 = 11

Answer:

5, 8, 2

Step-by-step explanation:

.............pi

Answer: 84

Step-by-step explanation: 42 x2 or 42+42 = 84

Answer:

6

Step-by-step explanation:

1. 5-4=1

2. 1×8=8

3. 8-2=6

Answer:

acute isosceles

Step-by-step explanation:

the angles are smaller than 90 and and the two sides are congruent

Answer: 12 (D)

Step-by-step explanation:

Hey there! If you have any questions, feel free to them in the comments below.

Step 1: Use this rule \(a / \frac{b}{c} = a * \frac{c}{b}.\)

2 * 6

Step 2: Simplify.

12

~I hope this helped you! :)~

Answer:

Step-by-step explanation:

here you go mate

step 1

2 ÷ 1/6  equation

step 2

(2)(6)  multiply the two numbers

answer

12

The height that represents the 85th percentile is 66.8 inches.

The height that represents the first quartile is 62.4 inches.

Generally, To find the height that represents the 85th percentile, you would need to use a z-score table or calculator.

The z-score represents the number of standard deviations away from the mean of a particular value.

For the 85th percentile, the z-score would be 1.04. To find the height, you would use the formula:

(z-score) * (standard deviation) + mean

So, in this case:

1.04 * 2.8 + 63.7 = 66.612 inches

b) To find the height that represents the first quartile (25th percentile), you would use the same process but with a z-score of -0.67.

-0.67 * 2.8 + 63.7 = 61.824

This means that the height that represents the first quartile is 62.4 inches.

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