A point (-7, -6) is rotated counterclockwise about the origin to map onto (-6, 7). The
angle of rotation is
A) 360°
B) 180°
OC) 90°
OD) 270°

Answer:

13.68

Step-by-step explanation:

The value of the perpendicular is 12 and the hypotenuse will be 8√3.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

The value of the sides will be calculated.

The perpendicular side will be calculated by using tan theta formula.

tan Ф = Perpendicular / BAse = P / 4√3

P = 4√3 x tan(60)

P = 4 √3 x √3

P = 12

The value of the hypotenuse will be calculated by using the Cos angle;

Cos 60 = Base \ Hyputenuse.

Cos 60 = 4√3 / Hypotenuse

1 / 2 = 4√3 / Hypotenuse

Hypotenuse = 2 x 4 x √3 = 8√3

Therefore, the value of the perpendicular is 12 and the hypotenuse is 8√3.

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The correct answer for the first question is D. The data are discrete because the data can take on any value in an interval.

Quiz scores from a college level statistics course are analyzed to determine student progress. This is not a voluntary response sample because the students taking the quiz are required to participate, and their scores are collected for the purpose of analyzing their progress.

For the second question, the data described, which is the number of donations a charity receives each month, is discrete. Discrete data can only take on specific values and cannot be divided into smaller, meaningful intervals. In this case, the number of donations can only be whole numbers, such as 0, 1, 2, and so on. It cannot take on any value in an interval or be represented by fractions or decimals. Therefore, the data is discrete.

It is important to distinguish between discrete and continuous data when analyzing and interpreting data, as different statistical methods and techniques are used for each type. Discrete data is usually counted or measured in whole numbers, while continuous data can take on any value within a given range or interval.

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Answer:

1. angle addition post

2. 2x=56

The corresponding angles of the lines solved and the value of x = 28°

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line. The intersecting line is known as transversal line.

We can conclude three factors determining parallel lines ,

Alternate angles are equal

Corresponding angles are equal

Co-interior angles add up to 180°

Given data ,

Let the measure of ∠ELG = 124°

The measure of ∠ELD = 2x

∠ELG and ∠ELD are a linear pairs of angles

So , the measure of ∠ELG  + ∠ELD = 180°

On simplifying , we get

2x + 124° = 180°

Subtracting 124° on both sides , we get

2x = 56°

Divide by 2 on both sides , we get

x = 28°

Therefore , the value of x is 28°

Hence , the angle is x = 28°

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Step-by-step explanation:

they are different because the first equation only ax is in absolute but in the second equation both ax and b are in absolute, so we could solve them differently.

In an independent groups experiment, if you must estimate the population standard deviation to determine the significance of the sample results, the appropriate inference test is an F-test or the F-distribution, Welch's t-test.

Explanation:

The F-test is used to compare the variances of two or more groups. In the context of an independent groups experiment, where two or more groups are being compared, the F-test can be used to estimate the population standard deviation by comparing the variances of the samples from each group.

To conduct an F-test, the variances of the samples from each group are calculated, and the ratio of the largest sample variance to the smallest sample variance is computed. This ratio follows an F-distribution, which is a continuous probability distribution with two degrees of freedom: one for the numerator (largest sample variance) and one for the denominator (smallest sample variance). The F-distribution is used to determine whether the observed ratio of sample variances is statistically significant or not.

If the F-test results in a statistically significant ratio of sample variances, it indicates that the population standard deviations are likely to be different. In this case, the appropriate inference test would be a test that takes into account unequal population standard deviations, such as Welch's t-test, which is a modified version of the independent samples t-test that accounts for unequal variances. Welch's t-test is commonly used when the assumption of equal variances is violated in an independent groups experiment, and the population standard deviations cannot be assumed to be equal.

In summary, the appropriate inference test for estimating the population standard deviation in an independent groups experiment is the F-test or the F-distribution. If the F-test results in statistically significant differences in sample variances, then a modified version of the t-test, such as Welch's t-test, should be used to determine the significance of the sample results.

Therefore, the appropriate inference test for estimating the population standard deviation in an independent groups experiment is the F-test or the F-distribution.

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Answer:

68.9

Step-by-step explanation:

     Let's take the formula: (C*9/5)+32=F

     Now let's substitute C for 20.5:

(20*9/5)+32=F

36.9+32=F

68.9=F

     So, 20.5 centigrade/celsuis is 68 temperature in fahrenheit.

The maximum area of the pen is the highest area the pen can have

The maximum area is 16200 square yards

Let the dimension be x and y.

So, the perimeter is given as:

\(\mathbf{P = 360}\)

Because it has one additional fence, the perimeter is calculated as:

\(\mathbf{2x + y = 360}\)

Make y the subject

\(\mathbf{y = 360 - 2x}\)

The area is calculated as:

\(\mathbf{A = xy}\)

Substitute \(\mathbf{y = 360 - 2x}\)

\(\mathbf{A = x(360 -2x)}\)

Expand

\(\mathbf{A = 360x -2x^2}\)

Differentiate

\(\mathbf{A' = 360 -4x}\)

Set to 0

\(\mathbf{360 -4x = 0}\)

Rewrite as:

\(\mathbf{4x = 360}\)

Divide both sides by 4

\(\mathbf{x = 90}\)

Substitute 90 for x in \(\mathbf{A = 360x -2x^2}\)

\(\mathbf{A = 360 \times 90 - 2 \times 90^2}\)

\(\mathbf{A = 16200}\)

Hence, the maximum area is 16200 square yards

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The clearinghouse and research middle on servant management is now called c. The Greenleaf Center for Servant Leadership.

The middle turned into named after Robert K. Greenleaf, who first brought the idea of servant leadership in his essay "The Servant as Leader" published in 1970. The Greenleaf Center for Servant Leadership serves as a worldwide useful resource for promoting the knowledge and exercise of servant leadership.

It conducts studies, provides educational applications, and gives a platform for individuals and businesses to study and interact with servant management ideas. The middle's recognition is on nurturing moral and compassionate management that prioritizes the nicely-being and growth of individuals and the groups they serve. Through its initiatives, the Greenleaf Center pursuits to inspire and empower leaders to create a superb and impactful exchange by embracing the servant management philosophy.

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The clearinghouse and research center on servant leadership is called The Greenleaf Center for Servant Leadership.

The clearinghouse and research center on servant leadership is called The Greenleaf Center for Servant Leadership. It is a nonprofit organization that was founded in 1964 by Robert K. Greenleaf. The center is dedicated to promoting the principles of servant leadership, which emphasizes serving others and putting their needs first.

The Greenleaf Center conducts research, provides resources and training, and serves as a hub for individuals and organizations interested in servant leadership.

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Answer: 1891 mm^21

Step-by-step explanation:

Answer:

  A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 2, 4, 6.

Step-by-step explanation:

The table with a constant ratio between A and B is the one with entries ...

  B/A = 2/1 = 4/2 = 6/3

The ratio is 2. The table is the last one described here.

Answer:

b

Step-by-step explanation:

hope this helps

Answer:

use pythagoras theorem

Step-by-step explanation:

A^2+B^2=C^2

In order to be 96% confident that our sample proportion in Exercise 9.53 will be within 0.02 of the true fraction of the voting population, a large sample size is required.

We are given that the sample proportion must be within 0.02 of the true fraction of the voting population, and we are required to be 96% confident. This can be represented as follows:

p ± 0.02

Where p is the true population proportion. This implies that the margin of error is 0.02. We need to find the sample size, which is usually denoted by n.To find the sample size n, we use the formula:

n = (z/ε)² * p(1 - p)

where z is the critical value, ε is the margin of error, and p is the proportion of the population that is being sampled.In this case, z is the z-score that corresponds to a 96% confidence interval, which can be found using the z-table or a calculator.

The z-score is 1.75068607 (rounded to 1.751).

Also, we are given that the margin of error (ε) is 0.02. Finally, we do not have any information about the true population proportion (p), so we will use 0.5 as a conservative estimate.

Substituting these values into the formula, we have:

n = (1.751/0.02)² * 0.5(1 - 0.5)n = 1764.44 (rounded up to 1765)

Therefore, a sample size of at least 1765 is required to be 96% confident that our sample proportion in Exercise 9.53 will be within 0.02 of the true fraction of the voting population.

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Answer:

a = 8

Step-by-step explanation:

a ÷ 2 - 8 + 8 = - 4 + 8

a ÷ 2 = 4

a ÷ 2 × 2 = 4 × 2

a = 8

Answer:

a = 8

Step-by-step explanation:

Given

\(\frac{a}{2}\) - 8 = - 4 ( add 8 to both sides )

\(\frac{a}{2}\) = 4 ( multiply both sides by 2 to clear the fraction )

a = 8

Answer:

here is the answer

Step-by-step explanation:

happy ro help u

Answer:

10 horas los dos para tender 150

The vector field f(x,y) = 33x^2y^2i + 22x^3yj is conservative, and its potential function is φ(x,y) = 11x^3y^2 + 11x^2y^2 + C.

To determine if a vector field is conservative, we need to check if it is the gradient of a scalar function (i.e., a potential function). We can do this by taking the partial derivatives of each component with respect to their respective variables and checking if they are equal:

∂f_x/∂y = 66xy^2
∂f_y/∂x = 66xy^2

Since these partial derivatives are equal, the vector field is conservative. We can then find a potential function by integrating each component with respect to their respective variable:

φ(x,y) = 11x^3y^2 + 11x^2y^2 + C

where C is the constant of integration.

Therefore, the vector field f(x,y) = 33x^2y^2i + 22x^3yj is conservative, and its potential function is φ(x,y) = 11x^3y^2 + 11x^2y^2 + C.

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Answer:

Step-by-step explanation:

I graphed these equations on desmos, the solution is the point where they intercept. The point where they intercept or the solution is (4, 0)

Answer:

\(\boxed{4x^{2} - 48x + 144}\)

Step-by-step explanation:

Given expression:

To simplify the expression, we will use the formula (a - b)² = a² - 2ab + b².

[Where "a and b" are the first and second term in (a - b)²]

\(\rightarrowtail (2x - 12)^{2}\)

In this case, the first term of (2x - 12)² is "2x" and the second term is "12".

\(\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2} \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{First term = a = 2x; Second term = b = 12]}\)

Now, simplify the expression.

\(\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2}\)

\(\rightarrowtail (2x)(2x) - (4x)(12) + (12)(12)\)

\(\rightarrowtail \boxed{4x^{2} - 48x + 144}\)

Answer:

relationship between base and perpendicular is given by tan angle

tan ?=perpendicular./base

tan?=5/16

?=tan-¹(5/16)=17.35=17

Answer:

304.5 cm2

Step-by-step explanation:

Think imaginatively, we got two congruent triangles and two rectangles with different dimensions.

S.A. of 2 triangles = 2*( 1/2 x B x H)

= 2*( 1/2 x 10.5 x 14) = 147 cm2

Rectangle 1 = 5*17.5 = 87.5 cm2

Rectangle 2 = 5*14 = 70 cm2

Total = 147 + 87.5 + 70 = 304.5 cm2

Answer:

-2

Step-by-step explanation:

The equation of a segment C(x, y) that divides the line segment AB with endpoints A(\(x_1,y_1\)) and B(\(x_2,y_2\)) in the ratio m:n is:

\(x=\frac{m}{n+m} (x_2-x_1)+x_1\\\\y=\frac{m }{n+m} (y_2-y_1)+y_1\)

A point (x, y) divides the directed line segment from J(-6, -2) to K(8, -9) into a ratio of 2:5. Hence:

\(x=\frac{2}{2+5}(8-(-6))+(-6)\\\\x=4-6\\\\x=-2\\\\\)

Also:

\(y=\frac{2}{2+5}(-9-(-2))+(-2)\\\\y=-2-2\\\\y=-4\)

The point is (-2, -4)

Answer:

B) -2

Step-by-step explanation:

Answer:

3/5 3/2

Step-by-step explanation:

6 Green and 9 Red

a.

Out of 15, 6 are green, rest are red.

No. of red apples = 15 - 6 = 9

Ratio of all apples in the basket to red apples

= Total no. of apples : No. of apples that are red

= 15 : 9

= 5 : 3

b.

No. of apples that are green = 6

No. of apples that are red = 9

Ratio of red apples to green apples

= No. of apples that are red : No. of apples that are green

= 9 : 6

= 3 : 2

Answer:

a) 8 x 10^3 or 8000

b) 8 x 10^-2 or .08

Explanation: Refer to a guide on rounding sig figs

The people, when matched with their importance in the fight for Civil rights, are:

Cesar Chevez will always be known for his role in founding the National Farm Workers Association, which campaigned for the rights of farmers in California. There was also Sylvia Mendez, who contributed to the ending of segregation of Hispanics in California schools.

Russell Means then established the American Indian Movement that helped many Natives and Fred Korematsu was an American - Japanese who refused to go to an internment camp in WWII.

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Answer:

x>12

Step-by-step explanation:

x-6>6

move constant (6) to right

x>6+6

x>12

alternate form

(12, infinity symbol)

hope this helps

Answer:

12

Step-by-step explanation:

Answer:

8.

Step-by-step explanation:

d/dx(8x)

= 8 * d/dx(x)

= 8 * 1

= 8.

(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.

(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:

PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)

PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)

Taking the cross product of PQ and PR, we have:

n = PQ x PR = (9, 1, -2) x (10, 4, 1)

Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.

(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:

|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)

Evaluating the magnitude gives |n| = \(\sqrt\)(811).

The area of triangle PQR is then:

Area = |n| / 2 = \(\sqrt\)(811) / 2.

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Both +33 and -33 are units of zero because both start from 0.

This is because, -33 starts from the left side of zero, whereas, +33 starts after some numbers in zero. Either left or right, as they both have a common number 0, therefore, -33 and +33 are units of zero.

Hope it helps you...

( Answered by Benjemin)