What is the domain of the function y = In
v=In (=x+3³) ²
-X+3
O x < 2
O x > 2
O x <3
Ox>3

Based on the information of an equilateral triangle △STU and the congruence of angles ∠TXU and ∠TVS, it can be concluded that UX is congruent (≅) to SV. The proof involves establishing the congruence of corresponding angles and applying the angle-angle (AA) congruence criterion.

To prove that UX is congruent (≅) to SV using the information, we will utilize the fact that △STU is an equilateral triangle and the congruence of angles ∠TXU and ∠TVS.

We have:

△STU is an equilateral triangle (∠STU = ∠TUS = ∠UST = 60 degrees)

∠TXU ≅ ∠TVS

Proof:

1. Draw a diagram of equilateral triangle △STU.

2. Draw a line segment UX and SV originating from U and S, respectively, towards the interior of the triangle.

3. ∠TXU and ∠TVS are congruent (given).

4. ∠STU = ∠TUS = ∠UST = 60 degrees (equilateral triangle property).

5. Since ∠STU and ∠TUS are both equal to 60 degrees and ∠TXU ≅ ∠TVS, we can conclude that ∠UTX ≅ ∠VTS (angle sum property of triangles).

6. By Angle-Angle (AA) congruence, ∆UTX ≅ ∆VTS.

7. Since corresponding parts of congruent triangles are congruent, we have UX ≅ SV (side UT ≅ side VT).

Therefore, we have proved that UX is congruent (≅) to SV using the information.

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Use the following terms in your answer,

Student question: when the degree of the numerator is the same as the degree of the denominator, the limit is equal to the ratio of the coefficients.  T/F.

What are the criteria for the limit of the function?                                                                                                                                              The answer is: Always be factually accurate, professional, and friendly. Be concise and do not provide extraneous amounts of detail.

When the degree of the numerator is the same as the degree of the denominator, the limit is equal to the ratio of the coefficients. True. When the degree of the numerator is equal to the degree of the denominator, the limit is equal to the ratio of the coefficients.

This is a basic rule for computing limits of rational functions. To compute the limit of a function when x is approaching a value, substitute x into the function and evaluate it. This is a straightforward approach. It is essential to check whether the limit exists or not. If the limit does not exist, then the function is said to be divergent. If the limit exists, then the function is said to be convergent.

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The solution is: 128 is the mean of Stanleys scores.

Here, we have,

given that,

Stanley bowled 7 games he scored 149,110,158,105 and 120 .

so, here, we have, the score of 7 games

he scored 149,110, 119, 158,105, 135 and 120

so, we need to find the mean of Stanleys scores.

we get,

mean is:

M = 149 + 110 + 119 + 158 + 105 + 135 + 120 / 7

   = 896/7

   = 128

Hence, The solution is: 128 is the mean of Stanleys scores.

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Answer:

B. 68 square cm

Step-by-step explanation:

0.5 x 6 x 5 = 15

5 x 7 = 35

9 x 2 = 18

15+35+18 =68

Answer:

\(\frac{15}{8}\) or \(1\frac{7}{8}\)

Step-by-step explanation:

\(2\frac{1}{4}-\frac{3}{8}\)

\(2\frac{2}{8}-\frac{3}{8}\) <-- Get same denominator

\(\frac{18}{8}-\frac{3}{8}\) <-- Turn mixed number into improper fraction

\(\frac{15}{8}\) or \(1\frac{7}{8}\)

Answer:

C

Step-by-step explanation:

Add up all the possible colors of gumballs:

10+6+18+20 = 54

There are 20 blue.

So 20/54, which is 10/27

It says to simplify but there are no simplified options! So I would pick C!

Answer:34/20

Step-by-step explanation:

La esculturas triangulares tendrán las siguientes medidas 16.66 cm, 40 cm y 23.32 cm.

Es la suma total de los lados del triángulo, en este caso el perímetro total es de 80.

Se pueden calcular usando el total y la información sobre cada lado:

Finalmente calcule cada lado:

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Answer:

\(d(t) = -23t +556\)

Step-by-step explanation:

Assuming the hurricane continues on the same path at the same speed means the relationship between speed and time will be linear. This means our function can be written in slope-intercept form, \(y=mx+b\). For our function, it will be written as \(d(t)=mt+b\), where t is time, d is distance, m is the slope of the line, and b is the y-intercept. We can solve for slope by using the formula \(\frac{y_{2}-y_1 }{x_2-x_1}\), where x2 and x1 are the times 8 and 3, respectively, and y2 and y1 are the distances 372 and 487, respectively. This gives us a slope of -23.

We can solve for b by inputting the values we've been given and using algebra.

\(d(t)=mt+b\\487 =-23(3)+b\\487=-69+b\\b=556\)

This gives us the equation \(d(t) = -23t +556\)

Something to note, since we let 3:00 pm and 8:00 pm be the values x=3 and x=8, 12:00 pm would be x=0, and values in the morning would be negative, like 9:00 am would be x=-3.

To find the frequency of the notes, we can use the formula:

Frequency of a note = Frequency of reference note * \((2^{n/12})\)

where n is the number of half-steps above or below the reference note.

(a) Four half-steps above middle C:

Frequency = \(260 * (2^{4/12})\)

Frequency ≈ 293.665 Hz

(b) A fourth (five half-steps) above middle C:

Frequency = \(260 * (2^{5/12})\)

Frequency ≈ 329.628 Hz

(c) Two octaves and a fifth (seven half-steps) above middle C:

Frequency = \(260 * (2^{7/12})\)

Frequency ≈ 523.251 Hz

(d) Twenty half-steps above middle C:

Frequency = \(260 * (2^{20/12})\)

Frequency ≈ 1648 Hz

Therefore, the frequencies of the notes are:

(a) Approximately 293.665 Hz

(b) Approximately 329.628 Hz

(c) Approximately 523.251 Hz

(d) Approximately 1648 Hz

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Answer: -2; -1; 0; 1; 2

\(-8\leq 4n<12\\\\=> -2\leq n<3\)

because n is an integer => n ∈ {-2; -1; 0; 1; 2}

Step-by-step explanation:

Answer is : n ={-2; -1; 0; 1; 2}

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have,

given that,

-8 ≤ 4n < 12

=> -2≤ n <3

because, n is an integer => n ∈ {-2; -1; 0; 1; 2}

Hence, Answer is : n ={-2; -1; 0; 1; 2}.

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a. The electron configuration for the element Te is 1s²2s²2p⁶3s²3p⁶4s²3d¹⁰4p⁶5s²4d¹⁰5p⁴.b. The electron configuration for the element Cr is 1s²2s²2p⁶3s²3p⁶3d⁵4s¹.c. The electron configuration for the ion Zn²⁺ is 1s²2s²2p⁶3s²3p⁶3d¹⁰.

Te: 1s²2s²2p⁶3s²3p⁶4s²3d¹⁰4p⁶5s²4d¹⁰5p⁴Cr: 1s²2s²2p⁶3s²3p⁶3d⁵4s¹Zn²⁺: 1s²2s²2p⁶3s²3p⁶3d¹⁰.

This question is divided into three parts where the electron configurations of three elements are asked.

The electron configuration of the first element which is Te is 1s²2s²2p⁶3s²3p⁶4s²3d¹⁰4p⁶5s²4d¹⁰5p⁴.

The electron configuration of the second element which is Cr is 1s²2s²2p⁶3s²3p⁶3d⁵4s¹ and the electron configuration of the third element which is Zn²⁺ is 1s²2s²2p⁶3s²3p⁶3d¹⁰.

Only F canNOT exceed the octet rule.

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The multiplicative inverse mod 77 of 52 is 23. When multiplied by 52 and then taken modulo 77, the result is 1.

To find the multiplicative inverse of x mod n, we need to find an integer s such that (x * s) mod n = 1. In this case, x = 52 and n = 77. We can use the Extended Euclidean Algorithm to solve for s.

Step 1: Apply the Extended Euclidean Algorithm:

77 = 1 * 52 + 25

52 = 2 * 25 + 2

25 = 12 * 2 + 1

Step 2: Back-substitute to find s:

1 = 25 - 12 * 2

 = 25 - 12 * (52 - 2 * 25)

 = 25 * 25 - 12 * 52

Step 3: Simplify s modulo 77:

s = (-12) mod 77

 = 65 (since -12 + 77 = 65)

Therefore, the multiplicative inverse mod 77 of 52 is 23 (or equivalently, 65). We can verify this by calculating (52 * 23) mod 77, which should equal 1. Indeed, (52 * 23) mod 77 = 1.

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Answer:

60% of 20 = 12

Step-by-step explanation:

I didn't know how to write it out but 60% of 20 is 12

The area of the Heptagon is 32.6

What is Heptagon?

A polygon having 7 sides and 7 angles are called a heptagon. The term "septagon" may also be used to refer to the heptagon. A heptagon is formed when all of its sides come together end to end. Therefore,

The heptagon's sides total seven.

What Is Meant by Apothem?

Apothem is a line traced from any polygon's center to one of its sides' midpoints.

The apothem formula, when the side length is given is:

\(a=\frac{S}{2 \tan \left(\frac{180}{n}\right)}\)

Where,

a = apothem length

s = side length

n = number of sides of a polygon.

In the given question,

we have;

s = 7 inches;

a = 3 inches;

n = 7;

So,

The apothem, when the side length is given is:

\(a=\frac{S}{2 \tan \left(\frac{180}{n}\right)}\)

\(a=\frac{3}{2 \tan \left(\frac{180}{7}\right)}\)

so, The area of Heptagon is 7.\(\frac{3.7}{2}\)

The area of the Heptagon is 32.6

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Answer:

y = 32

Step-by-step explanation:

y = 3x + 5

y = 3(9) + 5

y = 27 + 5

y = 32

Answer:

Step-by-step explanation:

You replace all the x's in the problem with 9.

3(9)+5

3(9)=27

27+5=32

Answer:So for an isosceles right triangle with side length a , the hypotenuse has a length of a√2 . Similarly, if the hypotenuse of an isosceles right triangle has length of a , the legs have a length of a√2ora√22 each

Step-by-step explanation:

An isosceles triangle is a special triangle due to the values of its angles. These triangles are referred to as triangles and their side lengths follow a specific pattern that states that one can calculate the length of the legs of an isoceles triangle by dividing the length of the hypotenuse by the square root of 2.

FOR EXAMPLE What is the length of the legs of an isosceles right triangle if the hypotenuse is 8 units?

2 Answers By Expert Tutors. For an isoceles right trangle, the legs each have length x and the hypotenuse has length x √2. Therefore, since the hypotenuse has length 8√2, the legs must each be of length 8.

The location of the coin next to the convex side of a thin spherical glass shell is 3.68 cm.

According to the question,

Radius of curvature : 19 cm

Size of image formed : 1.5cm

Distance of coin from glass shell : 6.5cm

The position of the coin placed next to the convex side of a thin spherical glass shell is calculated as follows;

1/d = 1/f - 1/d'

where;

d' is the position of the coin's image

d position of the coin

f is focal length

Focal length = r/2 =19/ 2 = 9.5 cm

=> 1/d = 1/9.5 - (-1/6.5)

=> 1/d = 1/9.5 + 1/6.5

=> 1/d = 0.1052 + 0.1538

=> 1/d = 0.259

=>d = 1/0.259

d = 3.86 cm

Thus, the position of the coin placed next to the convex side of a thin spherical glass shell is 3.86 cm.

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Answer:

17 is added to both numerator and denominator.

Step-by-step explanation:

Given:

Fraction = 1/10

New fraction = 2/3

Find:

Number added to both numerator and denominator.

Computation:

Assume,

a is added to both numerator and denominator.

\(\frac{1+a}{10+a}=\frac{2}{3}\\\\3 + 3a=20+2a\\\\3a-2a=20-3\\\\a=17\)

Therefore, 17 is added to both numerator and denominator.

The statements that is always true or false given that  A is an n × n matrix are; A. True. B. True C. True, D. True

A. A stochastic matrix always has 1 as an eigenvalue, and the corresponding eigenvector forms a line, the 1-eigenspace. in other words, A stochastic matrix is a matrix whose rows sum to 1. This means that the sum of the elements in each row of A is equal to 1.

B. a stochastic matrix always has 1 as an eigenvalue. The eigenvalues of a matrix are the roots of its characteristic polynomial.

C. A positive stochastic matrix is a stochastic matrix whose entries are all non-negative. If A is a positive stochastic matrix, then repeated multiplication by A pushes each vector toward the 1-eigenspace.

D. For a square matrix, the eigenvalues of a matrix and its transpose are the same.

The above answer for D is based on the assumption that question D is

d. If A is a square matrix, then A and A^T must have the same eigenvalues.

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Answer:

Mike ran half way to school walked to school and ran the rest

Step-by-step explanation:

Answer:

x= -1/3

Step-by-step explanation:

You take out 2 by multiplying 2/1 in both sides

then u have 4-3x=5

You subtract 4 from 5 and you have

-3x=1

divide and the answer is x= -1/3

Given fractional expression:

{(4-3x)/2} = 5

→ 4-3x = (5)2

→ 4-3x = 10

→ -3x = 10-4

→ -3x = 6

Therefore, x = -(6/3) = -2

The y-intercept for the regression equation is 3, given that b = 4, Mx = 12, and My = 51. So, the correct option is C).

The formula for the y-intercept of the regression equation is

a = My - b(Mx)

where My is the mean of the dependent variable (y), b is the slope, and Mx is the mean of the independent variable (x).

Given that b = 4, Mx = 12, and My = 51, we can substitute these values in the formula to find the y-intercept

a = 51 - 4(12)

a = 51 - 48

a = 3

Therefore, the y-intercept (a) for the regression equation is 3.

The correct Answer is C) 3.

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--The given question is incomplete, the complete question is given

" A set of X and Y scores has b = 4, Mx = 12, and My = 51. What is the y-intercept (a) for the regression equation? O 9.75 17.36 3.00 8.25 "--

Answer:

it controls for multiple variables in an experiment.

Step-by-step explanation:

pls mark as brainliest

Answer:

wait iv done this i think

Step-by-step explanation:

hold on  ima go look through my math book real quick and see if i can help

The study of statistics rests on two major​ concepts probability which  is the branch of mathematics that deals with the likelihood of events occurring and Data Analysis is the process of examining and interpreting data in order to gain insights and make better decisions

Probability theory is based on the idea that, given enough data, the frequency of an event can be predicted and allows for the formulation of mathematical models that can quantify the likelihood of particular outcomes. Probability is the foundation of statistics and helps to explain the behavior of chance events.It involves the collection, organization, and analysis of data from a variety of sources, such as survey responses, observations, experiments, or existing databases.

Data analysis is used to identify patterns and relationships in data, draw conclusions, and make decisions. It is an important part of statistics, as it helps to uncover insights that would otherwise remain hidden. Data analysis tools, such as statistical models, can be used to gain greater insight into the data.

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