Triangles J K L and M N Q are shown. Triangle J K L is rotated slightly about point L to form triangle M N Q. Two rigid transformations are used to map TriangleJKL to TriangleMNQ. The first is a translation of vertex L to vertex Q. What is the second transformation? a reflection across the line containing LK a reflection across the line containing JK a rotation about point L a rotation about point K

The circle graph that correctly represents the data in the table based on the percentage representation of the data values is the following option;

A percentage is a representation of a ratio of values expressed as a fraction of 100.

The count of the number of visitors at the New York City hotel = 120 + 24 + 45 + 30 + 81 = 300

The percentage of each category are therefore;

Walk = (120/300) × 100 = 40%

Bicycle = (24/300) × 100 = 8 %

Car Service= (45/300) × 100 = 15%

Bus = (30/300) × 100 = 10%

Subway = (81/300) × 100 = 27%

Therefore, the circle graph that represents the data has five sections labeled walk 40 percent, bicycle 8 percent, car service 15 percent, bus 10 percent, and subway 27 percent

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On the basis of birthday problem or scenario, the number of people should be selected to guarantee that at least 4 were born on the same day, not considering the year is equals to the 1096.

The worst case scenario is one of the many possible cases where the desired outcome comes after every other probable outcome has already occurred. The number of people who ensure that at least 7 people have a birthday on a single day of a non-leap year (365 days) can be determined by ensuring that in the number of people selected in each trial, two people do not have a birthday on a day. the same day. There are 365 days in a year.

Assuming everyone was born on a different day, then you could have 365 people where no one was born on the same day, but those 366 people would have to be born on the same day as someone else in the group. So the minimum number of people in a group would have to be 366 to guarantee that at least 2 people were born on the same day. But we wanted to guarantee that at least 4 people were born on the same day.

So, assuming we had 3 × 365 people together, with every 3 of them being born on the same day. Then would have a total of 365× 3 = 1095 people, with no more than 3 people being born on the same day. Now as we select one more person, the number of people born on a day for one of the days in the year will increase to 4. Hence the number of people that should be selected to guarantee that at least 4 were born on the same day are 1095 +1 = 1096. Hence, required value is 1096.

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The correct answer is option (b) No, the statement does not represent an exponential function, h(t) = -4.9t² + 18t + 40 is a quadratic function and not an exponential function.

An exponential function is a mathematical function in which the variable is in the exponent. Exponential functions follow the form f(x) = a^x, where a is the base and x is the exponent.

The given statement is h(t) = -4.9t² + 18t + 40, which does not represent an exponential function. The value of t is not in the exponent in this case. Instead, it's a quadratic equation, which is in the form of h(t) = at² + bt + c.

Therefore, the correct answer is option (b) No, the statement does not represent an exponential function.

Explanation:

An exponential function can also be represented by the general form y = ab^x, where b > 0 and b ≠ 1. When plotted on a graph, the curve of an exponential function rises or falls at an increasing rate, depending on whether b is greater than or less than 1, respectively.

A quadratic equation is an equation of the form ax² + bx + c = 0, where a ≠ 0, and x represents a variable. Quadratic equations are second-degree equations, which means the highest exponent of the variable is two.

Therefore, h(t) = -4.9t² + 18t + 40 is a quadratic function and not an exponential function.

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Answer:

4:1 or 4/1

Step-by-step explanation:

To do this, first find the number of free throws he missed by doing 15 - 12 = 3.

Then, the ration would just be 12:3 and would simplify to 4:1. As a fraction, this is 4/1

Answer:

C

Step-by-step explanation:

given the data in ascending order

1 , 3 , 5 , 6 , 7 , 9 , 100

              ↑ middle value

then the second quartile Q₂ ( the median ) is the middle value of the set

thus Q₂ = 6

the first quartile Q₁ is the middle value of the data to the left of the median

1 , 3 , 5

    ↑

Q₁ = 3

the third quartile Q₃ is the middle value of the data to the right of the median

7 , 9 , 100

     ↑

Q₃ = 9

the first , second and third quartiles are 3 , 6 and 9

The first, second, and third quartiles are 3, 6, and 9. The correct answer is option C) 3, 6, and 9.

The first quartile (Q1) is the value that divides the data set into quarters, with 25% of the data falling below this value. To find Q1, we need to locate the median of the first half of the data set. The first half of the data set consists of (1, 3, 5). The median of this set is 3, so Q1 is 3.

The second quartile (Q2) is the median of the entire data set, which is 6.

The third quartile (Q3) is the value that divides the data set into quarters, with 75% of the data falling below this value. To find Q3, we need to locate the median of the second half of the data set. The second half of the data set consists of (7, 9, 100). The median of this set is 9, so Q3 is 9.

Therefore, the first, second, and third quartiles of the given data set (1, 3, 5, 6, 7, 9, 100) are 3, 6, and 9 respectively. The correct answer is option C) 3, 6, and 9.

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Transition matrix is called a doubly stochastic matrix (if sum of each rows and columns is 1 ).

We can see that the distribution of doubly stochastic matrix for all finite dimensional has Uniform stationary distribution.

Doubly Stochastic Matrix

A transition random matrix P is defined as a dual random matrix if the sum of the rows and columns is one.

Therefore, for each column j of the doubly random matrix, let ∑ ipᵢⱼ = 1. Suppose the distribution π on S also has π₁ = π if the Markov chain starts with the initial distribution π₀ = π. That is, if the distribution at time 0 is π, the distribution of π remains 1, and this π is said to be stationary.

Example: A uniform distribution [[π(i) = 1/N for all i]] is stationary if the N × N stochastic transition matrix P is symmetric. More generally, the uniform distribution is stationary if the matrix P is doubly stochastic, i.e. the columns of P sum to 1 (we already know that the rows of P sum to all 1). are available). It is easy to see that when πn approaches a limiting distribution as n → ∞, this limiting distribution must be stationary. To see this, assuming lim n→∞ πn = π' , and n → ∞ in the equation πₙ₊₁ = πₙP, we get π = π'P. This shows that π' is stationary. So , the arguments given pass clearly and simply when the state space is finite.Hence, the required results is achieved .

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Answer:

s = 25.33m

θ = 60.65°

12.37m

A = 160m^2

Step-by-step explanation:

The pyramid has a side base of 35m and a height of 22m.

side base = b = 35m

height of the pyramid = h = 22m

To calculate the slant edge of the pyramid, you first calculate the diagonal of the squared base of the pyramid.

You use the Pythagoras theorem:

\(d=\sqrt{(\frac{35}{2})^2+(\frac{35}{2})^2}=24.74\)

With the half of the diagonal and the height, and by using again the Pythagoras theorem you can calculate the slat edge:

\(s=\sqrt{(\frac{24.74}{2})^2+(22)^2}=25.23\)

The slant edge of the pyramid is 25.33m

The angle of the base is given by:

\(\theta=sin^{-1}(\frac{h}{s})=sin^{-1}(\frac{22}{25.23})=60.65\°\)

The angle of the base is 60.65°

The distance between the corner of the pyramid and its center of its base is half of the diagonal, which is 24.74/2 = 12.37m

The area of one side of the pyramid is given by the following formula:

\(A=\frac{(b/2)l}{2}\)        (1)

l: height of the side of pyramid

then, you first calculate l by using the information about the side base and the slant.

\(l=\sqrt{s^2-(\frac{b}{2}^2)}=\sqrt{(25.33)^2-(\frac{35}{2})^2}\\\\l=18.31m\)

Next, you replace the values of l and b in the equation (1):

\(A=\frac{(35/2)(18.31)}{2}=160m^2\)

The area of one aside of the pyramid is 160m^2

Answer:

nolo se

Step-by-step explanation:

Answer:

B. The time when the concert starts.

Step-by-step explanation:

If -5 is five minutes before and 5 is five minutes then 0 would be when it starts.

6.4 cm is the needed circumference of the gasket following dilatation with a scale factor of 2.

What does circumference mean?

The boundary length of any circular shape is known as the

circumference.

What is scale factor?

A scale factor is a quantity multiplier (also known as a scale). The scaling factor for x, for instance, is represented by the letter "C" in the equation y = Cx. The factor would be 5 if y = 5x were the equation.

According to the given data:

After scale factor 2 is applied, 6.4 cm must be the gasket's needed circumference.

It includes a rubber gasket with a 3.2 cm circumference. The circumference of the gasket has must be calculated after scaling up by factor 2.

Here,

3.2 cm is the gasket's circumference.

The circumference changed upon scale factor 2 dilatation.

Dilated gasket circumference: 2 * 3.2 = 6.4 cm

As a result, 6.4 cm is the needed circumference of the gasket following dilatation with a scale factor of 2.

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Answer:

C. 6.4 cm

Hope this helps!

Step-by-step explanation:

To determine the vertices of the hyperbola using the equation\((x - 3)^2/9 - (y - 2)^2/16 = 1,\) we can identify the values of a and b, where a represents the distance from the center to the vertices along the x-axis, and b represents the distance from the center to the vertices along the y-axis Therefore the correct option is D.

The given equation can be written as (\(x - 3)^2/3^2 - (y - 2)^2/4^2 = 1\), which indicates that \(a^2 = 9\) and\(b^2 = 16\). Taking the square root of a^2 and b^2 yields a = 3 and b = 4. The center of the hyperbola is (3, 2), and since the vertices are symmetrical about the center along the x-axis, the vertices can be found by subtracting and adding a from the x-coordinate of the center.

Consequently, the vertices of the hyperbola are (0, 2) and (6, 2). In summary, the vertices of the given hyperbola are located at (0, 2) and (6, 2).

Therefore the correct option is  D

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Answer:

x=34

no

Step-by-step explanation:

a=16 b=30 c= x

16^2+30^2= c^2

256+900= c

c=√1156

√1156=34

Answer:

+5 esta a la derecha de +3 y -3 esta a la izquierda de +3

Answer:

As  \(\sqrt[5]{c}\)  is the fifth root of c, therefore,  \(\sqrt[5]{c}\) can be written as: \(\left(c\right)^{\frac{1}{5}}\)

In other words,

\(\:c^{\frac{1}{5}}=\sqrt[5]{c}\)

Therefore, option C is correct.

Step-by-step explanation:

Given the expression

\(\sqrt[5]{c}\)

Here,

As  \(\sqrt[5]{c}\)  is the fifth root of c, therefore,  \(\sqrt[5]{c}\) can be written as: \(\left(c\right)^{\frac{1}{5}}\)

In other words,

\(\:c^{\frac{1}{5}}=\sqrt[5]{c}\)

Therefore, option C is correct.

Answer:C

Step-by-step explanation:

Answer:

I think Angle T is 36 degree

I think it will help you

Answer:

9

Step-by-step explanation:

8+7=15

15-6=9

Step-by-step explanation:

x+6=8+7

-6 -6 -6

x= 2+1 i think this is the answer

Answer: 7

Step-by-step explanation:

Factors of 7 are, 1, and 7. The factors of 21 are, 1, 3, 7, and 21, making 7 the gcf.

Quota sampling is a method used in research to ensure that a sample represents the target population accurately and is free from bias. In quota sampling, researchers determine in advance how many individuals from certain groups or characteristics they need to include in the survey.

The main goal of quota sampling is to ensure that every person in the target population has an equal chance of being selected for the sample. This is achieved by selecting individuals based on specific characteristics or demographics that are representative of the population being studied.

For example, let's say a researcher wants to conduct a survey about favorite ice cream flavors among teenagers. They may decide that they need an equal number of male and female participants and an equal representation from different age groups within the teenage population. The researcher would then set quotas for each of these groups and select participants accordingly.

It's important to note that quota sampling does not involve pre-planning or random selection. Instead, researchers use their judgment to select individuals who meet the predetermined quotas as they encounter them in the target population.

By using quota sampling, researchers can ensure that their sample is diverse and representative of the population they are studying. This method helps reduce bias and provides a more accurate understanding of the target population's opinions or behaviors.

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Answer: The pattern uses the rule "Add 15", adding 15 per term. Making the next term, 60.

Answer:

Yes.

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Any line that follows slope-intercept form will be a function.

If we graph this line, we can see that each x-value has its own y-value and it passes the vertical line test.

∴ y = 0.860x + 3.302 is indeed a function.

Answer:5834.36 You're welcome

Answer:5834.36

Step-by-step explanation:

Answer:

the graph of the rational function is B

Answer:

Step-by-step explanation:

B

Answer:

C

Step-by-step explanation:

Answer:

Answer A

Step-by-step explanation:

Triangle ABC matches up to EFD.  

We know both triangles have right angles and we know the distance of the hypotenuse (5 units) and one of the legs (4.5 given).  So, the justification is HL, not AAS.

\(10+\dfrac{1}{2} x\geq 3\)

\(\dfrac{1}{2} x+10\geq 3\)

Subtract 10 from both sides:

\(\dfrac{1}{2} x+10-10\geq 3-10\)

\(\dfrac{1}{2} x\geq -7\)

Multiply both sides by 2:

\(2\times\dfrac{1}{2} x\geq 2\times-7\)

\(\fbox{x}\geq \fbox{-14}\)

An eigenvalue is a scalar value that is associated with a linear system of equations, such as a matrix. It is used to determine how much a particular vector in the system is scaled by the matrix.

The equation for finding an eigenvalue is:
Ax = λx
where A is the matrix, x is the vector, and λ (lambda) is the eigenvalue.

In the case of the matrix m-si, we can set up the equation:
(m-si)x = λx

To find the eigenvalue, we need to solve for λ. We can do this by rearranging the equation:
(m-si)x - λx = 0
(m-si - λ)x = 0

Since we are looking for non-zero solutions for x, we can set the determinant of the matrix equal to zero:
det(m-si - λ) = 0

This will give us a polynomial equation that we can solve for λ to find the eigenvalue(s) of the matrix m-si.

Without the actual values of m and si, it is not possible to solve for the eigenvalue(s) of the matrix. However, the above process is how you would go about finding the eigenvalue(s) of any matrix.

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Answer:

234

Step-by-step explanation:

Answer:

The answer would be 8.7

Step-by-step explanation:

First, you would start with the parentheses. So add 32+8.3 to get 40.3.

The equation will look like this: 49-40.3

The final step would be subtraction.

49-40.3= 8.7

You will get 8.7 as your answer!

I hope this helps!! ;-)

The geometric series has a sum of 31.5, a first term of 16, and a common ratio of 0.5. To determine the number of terms in the series, we need to use the formula for the sum of a geometric series and solve for the number of terms.

The sum of a geometric series is given by the formula S = a(1 -\(r^n\)) / (1 - r), where S is the sum, a is the first term, r is the common ratio, and n is the number of terms.

In this case, we have S = 31.5, a = 16, and r = 0.5. We need to find n, the number of terms.

Substituting the given values into the formula, we have:

31.5 = 16(1 - \(0.5^n\)) / (1 - 0.5)

Simplifying the equation, we get:

31.5(1 - 0.5) = 16(1 - \(0.5^n\))

15.75 = 16(1 - \(0.5^n\))

Dividing both sides by 16, we have:

0.984375 = 1 - \(0.5^n\)

Subtracting 1 from both sides, we get:

-0.015625 = -\(0.5^n\)

Taking the logarithm of both sides, we can solve for n:

log(-0.015625) = log(-\(0.5^n\))

Since the logarithm of a negative number is undefined, we conclude that there is no solution for n in this case.

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To graph the curve x = cos(t) + ln(tan(t/2)) and y = sin(t) with the domain π/4 ≤ t ≤ 3π/4, follow these steps: 1. Create a table of values for t within the given domain, such as t = π/4, π/2, and 3π/4. 2. Calculate the corresponding x and y values for each t value using the given equations. 3. Plot the (x, y) coordinates on a Cartesian plane.

To graph the curve, we first need to understand what each term means.
- x = cos(t) + ln(tan(t/2)): This is the equation for the x-coordinate of the curve. It's a combination of the cosine function (cos(t)) and the natural logarithm of the tangent function (ln(tan(t/2))).
- y = sin(t): This is the equation for the y-coordinate of the curve. It's simply the sine function (sin(t)).
Now, let's look at the range of values for t: π/4 ≤ t ≤ 3π/4. This means that t starts at π/4 (45 degrees) and ends at 3π/4 (135 degrees), and it increases in increments of pi/4 (90 degrees).
To graph the curve, we can start by plugging in some values of t to find corresponding (x,y) pairs. Here are a few:
- When t = π/4: x = cos(π/4) + ln(tan(π/8)) ≈ 0.532, y = sin(π/4) ≈ 0.707. So one point on the curve is (0.532, 0.707).
- When t = π/2: x = cos(π/2) + ln(tan(π/4)) = 0 + ln(1) = 0, y = sin(π/2) = 1. Another point on the curve is (0, 1).
- When t = 3π/4: x = cos(3π/4) + ln(tan(3π/8)) ≈ -0.532, y = sin(3π/4) ≈ -0.707. A third point on the curve is (-0.532, -0.707).
We can continue to plug in values of t and plot the corresponding points to create the graph. However, because the equation for x involves the natural logarithm of the tangent function, the curve may not be easy to visualize or sketch by hand.
In general, the curve will have a "wavy" shape due to the combination of the sine and cosine functions. The natural logarithm of the tangent function will also introduce some asymmetry to the curve. To get a more precise sense of the curve's shape, we can use a graphing calculator or software to plot the points and connect them with a smooth curve.

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Our assumption that n is not prime must be false.

Hence, if (n - 1)! ≡ -1 mod n, then n is prime.

To prove that if n is an integer greater than 1 and (n − 1)! ≡ −1 mod n, then n is prime, we can use a proof by contradiction.

Assume that n is not a prime number.

This means that n can be factored into two smaller positive integers, a and b, where 1 < a, b < n.

Since n is not prime, we have n = a * b. From this, we can conclude that (n - 1)! = (a * b - 1)!.

According to Wilson's theorem, if n is a prime number, then (n - 1)! ≡ -1 mod n. \

However, we are assuming that n is not prime, so let's see what happens.

Since (n - 1)! = (a * b - 1)!, we can rewrite it as (a * b - 1)! ≡ -1 mod n.

Now, consider the factors a and b. Since a and b are both less than n, they are also less than (n - 1).

Therefore, (a * b - 1)! can be factored as (a - 1)! * (b - 1)! * (a * b) * [(a * b) + 1] * [(a * b) + 2] * ... * (n - 1).

Since we assumed that n is not prime, we can substitute a * b for n in the above equation, giving us (a - 1)! * (b - 1)! * (n) * [(n) + 1] * [(n) + 2] * ... * (n - 1).

We can see that n appears in the product.

Therefore, (a * b - 1)! is divisible by n.

This contradicts our assumption that (a * b - 1)! ≡ -1 mod n. If (a * b - 1)! is divisible by n, then it cannot be congruent to -1 modulo n.

Therefore, our assumption that n is not prime must be false.

Hence, if (n - 1)! ≡ -1 mod n, then n is prime.

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