identify each shape as translation, rotation and reflection​

Answer:

Option A: T(-3, -4)

Step-by-step explanation:

For a general point (x, y), if we apply the transformation:

T(a, b)

at that point, the new point that we will get is:

T(a,b)[ (x, y) ] = (x + a, y + b)

Notice that if w take the difference between the new point (x + a, y + b) and the original point (x, y)

we get:

(x + a, y + b) - (x, y) = (x + a - x, y + b  y) = (a, b)

These are x-value and y-value that describe our transformation T(a, b).

Then if we know that the original point is B (-2, 1)

and the transformed point is B'( -5, -3)

We can just take the difference to get:

(-5, -3) - (-2, 1) = (-5 - (-2), -3 - 1) = (-5 + 2, -4) = (-3, -4)

Then the transformation applied is:

T(-3, -4)

The correct option is A.

27/2 or 13.5 pieces.

To find the quotient, we need to divide the length of the sub sandwich by the length of each piece she wants to cut it into:

9 ÷ (2/3)

We can simplify this by multiplying the numerator by the reciprocal of the denominator:

9 ÷ (2/3) = 9 × (3/2)

Multiplying straight across:

9 × (3/2) = 27/2

So Jenny will be able to cut the sub sandwich into 27/2 or 13.5 pieces.

Step-by-step explanation:

Cutting a 9 inch sub into 2/3 inch pieces ?

9 inch / 2/3 inch / piece = 9 * 3/2= 27/2 = 13.5 pieces ~ 13 with a bit left over

The factor of the symmetric matrix into  A = LDL^T is equal to

\(\left|\begin{array}{ccc}\sqrt{29}-3/2 &-\sqrt{29}-3/2\\1&1\\\end{array}\right|\).

Factor the matrices into A=LDL^T$ form, follow these steps,

Find the eigenvalues and eigenvectors of the matrix A.

Construct the diagonal matrix D using the eigenvalues.

Construct the matrix L using the eigenvectors.

Let us apply these steps to each matrix,

\($A = \begin{bmatrix} 1 & 3 \ 3 & 2 \end{bmatrix}$\)

The eigenvalues can be found by solving the characteristic equation

det(A−λI)

= \(\left|\begin{array}{ccc}1-\lambda&3\\3&2-\lambda\\\end{array}\right|\)

⇒ λ²-3 λ -7 = 0

Solving for λ using the quadratic formula gives,

\($\lambda = \frac{3 \pm \sqrt{29}}{2}$.\)

The eigenvectors can be found by solving for each eigenvalue,

\($(A-\lambda I)x = 0$\)

\($\lambda_1 = \frac{3 + \sqrt{29}}{2}$\)

(A−λ₁ I)x = 0

⇒ \(\left|\begin{array}{ccc}1-\lambda_{1} &3\\3&2-\lambda_{1} \\\end{array}\right|x\) = 0

⇒ \(\left|\begin{array}{ccc}-\sqrt{29} -1/2 &3\\3&-\sqrt{29} -1/2\\\end{array}\right|x\) = 0

Solving this system of equations gives the eigenvector.

\(x_1 = \begin{bmatrix} \frac{\sqrt{29}-3}{2} \ 1 \end{bmatrix}$.\)

Similarly for,

\($\lambda_2 = \frac{3 - \sqrt{29}}{2}$\)

(A−λ₂I)x = 0

⇒ \(\left|\begin{array}{ccc}1-\lambda_{2} &3\\3&2-\lambda_{2} \\\end{array}\right|x\) = 0

⇒  \(\left|\begin{array}{ccc}\sqrt{29}+1/2 &3\\3&\sqrt{29} -1/2\\\end{array}\right|x\) =0

Solving this system of equations gives the eigenvector

\($x_2 = \begin{bmatrix} \frac{-\sqrt{29}-3}{2} \ 1 \end{bmatrix}$\)

Now we can construct the diagonal matrix D using the eigenvalues,

D = \(\left|\begin{array}{ccc}\lambda_{1} &0\\0&\lambda_{2} \\\end{array}\right|\)

   = \(\left|\begin{array}{ccc}\frac{3+\sqrt{29} }{2} &0\\0&\frac{3-\sqrt{29} }{2} \\\end{array}\right|\)

And we can construct the matrix L using the eigenvectors,

L = \(\begin{bmatrix} x_{1} \ x_{2} \end{bmatrix}$\)

  = \(\left|\begin{array}{ccc}\sqrt{29}-3/2 &-\sqrt{29}-3/2\\1&1\\\end{array}\right|\)

So we have A = LDL^T$ with

L = \(\left|\begin{array}{ccc}\sqrt{29}-3/2 &-\sqrt{29}-3/2\\1&1\\\end{array}\right|\)

Therefore, the value of the matrix is equal to \(\left|\begin{array}{ccc}\sqrt{29}-3/2 &-\sqrt{29}-3/2\\1&1\\\end{array}\right|\).

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Gold costs less than platinum per ounce because the slope of the graph for gold is less than that of the chart for platinum. The slope of the graph tells you the unit rate in dollars per ounce.

In Mathematics, a slope is sometimes referred to as rate of change and it is typically used to describe both the direction, ratio, and steepness of the function of a straight line based on its coordinates or points.

Mathematically, the slope (rate of change) can be calculated by using this mathematical expression;

Rate of change (slope), m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Rate of change (slope), m = (y₂ - y₁)/(x₂ - x₁)

By critically observing the graph of the weight of gold and platinum, we can reasonably infer and logically deduce that the slope (unit rate) of the graph for gold is less than the slope (unit rate) of the graph for platinum.

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Complete Question:

Use the drop-down menus to complete the statements to match the information shown by the graph.

A graph has weight (ounces) on the x-axis, and cost (dollars) on the y-axis. A line labeled gold starts at (0, 0) and has a positive slope. A line marked platinum starts at (0, 0) and has a greater positive slope than gold.

Gold costs ---------------- platinum per ounce because the ----------- of the graph for gold is -------------that of the chart for platinum. The --------of the graph tells you the unit rate in _____.

The general convention is to reject a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect. This is False.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

After a performing a test, scientists can reject the null hypothesis meaning there is a definite, consequential relationship between the two phenomena

In this case, the convention is to accept a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect.

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Answer:

Square

Step-by-step explanation:

CHECK THE ATTACHMENT FOR THE FIQURE OF THE QUESTION

✓We were given the dimension of the rectangular prism as 10cm × 4cm × 4cm,

✓The cross section of the paperweight can be cut into half to it's base. Then the new dimension will be 4cm × 4cm which is a quadrilateral.

✓ Then width= 4cm, and height=4 cm are of the same values, hence the shape it forms is a SQUARE. and also the their angles is 90° each.

Answer:

\(a^3 + b^3 = -4\)

Step-by-step explanation:

Given

\(a + b = 3ab = 2\)

Required

Solve: \(a^3 + b^3\)

Rewrite the expression as:

\(a^3 + b^3 = a^3 - a^2b +ab^2 + a^2b - ab^2 + b^3\)

Factorize

\(a^3 + b^3 = a(a^2 - ab +b^2) + b(a^2 - ab + b^2)\)

\(a^3 + b^3 = (a + b)(a^2 - ab + b^2)\)

Rewrite as:

\(a^3 + b^3 = (a + b)(a^2 + b^2- ab)\)

\(a^3 + b^3 = (a + b)(a^2 + b^2+2ab - 3ab)\)

Factorize

\(a^3 + b^3 = (a + b)((a + b)^2 - 3ab)\)

Open brackets

\(a^3 + b^3 = (a + b)^3 - 3ab(a + b)\)

Given that:

\(a + b = 3ab = 2\)

This means that:

\(a + b = 2\) and \(3ab = 2\)

So, we have:

\(a^3 + b^3 = (a + b)^3 - 3ab(a + b)\)

\(a^3 + b^3 = 2^3 - 3 * 2 * 2\)

\(a^3 + b^3 = 8 - 12\)

\(a^3 + b^3 = -4\)

The rectangular (standard) form of the complex number is simply 4.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It focuses on the study of trigonometric functions, which are functions that relate the angles of a triangle to the ratios of the lengths of its sides.

The rectangular (standard) form of a complex number is typically written as a + bi, where a and b are real numbers, and i is the imaginary unit (√-1). However, in the case of the given complex number 4(cos 0° + i sin 0°), it can be simplified to 4(1 + 0i), since cosine and sine of 0° are equal to 1 and 0 respectively.

The complex number 4(cos 0° + i sin 0°) can be simplified as:

4(cos 0° + i sin 0°) = 4(1 + 0i)

= 4

Therefore, the rectangular (standard) form of the complex number is simply 4.

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Answer:

\(y = -\dfrac{3}{4}x + 3\)

Step-by-step explanation:

The slope-intercept form of a line equation is

y = mx + b

where m = slope

b = y-intercept

We are given slope:
\(-\dfrac{3}{4}\)

So equation must be of the form
\(y = -\dfrac{3}{4}x + b\)

Since line passes through (4,0), this point coordinates must satisfy the equation

Substitute for y = 0 when x = 4 to get
\(0 = -\dfrac{3}{4}\cdot 4 + b\\\\\\0 = -3 + b\\\\b = 3\\\\\text{Equation of the line is }y = -\dfrac{3}{4}x + 3\)

The distance covered by comet in 10 hours is 20,000 miles when comet was travelling at 8,000 miles in 4 hours.

In the above question, it is given that

A comet is travelling as follows

The distance covered by comet in 4 hours = 8000 miles

We need to find the distance covered by comet in 10 hours

To find that, first we'll calculate the distance covered by comet in 1 hour

The distance covered by comet in 1 hour = \(\frac{8000}{4}\) miles

Therefore, the distance covered by comet in 10 hours = \(\frac{8000 . 10 }{4}\) miles

= 20,000 miles

Hence, the distance covered by comet in 10 hours is 20,000 miles when comet was travelling at 8,000 miles in 4 hours.

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Answer:

Step-by-step explanation:

Cette même question... mais il me semble que quelqu'un a déjà répondu :)

Answer:

x = 6

Step-by-step explanation:

For this, we simply can use similar triangles to build proportions to find the value of x.

The base of one triangle is 4 with a hypotenuse of x.

The base of the second triangle is x with a hypotenuse of 4+5.

Hence, we can build this proportion:

x/9 = 4/x

Now we solve for x in this proportion:

x/9 = 4/x

x * x = 9 * 4

x^2 = 36

x = 6

Now we know the value of x=6.

Cheers.

The given statement, "In a contingency table, when all the expected frequencies equal the observed frequencies the calculated statistic equals zero" is true because when all the expected frequencies equal the observed frequencies, the calculated statistic equals zero.

A contingency table is a table used in statistics that shows the distribution of one variable in rows and another variable in columns. It is also known as a cross-tabulation table or a two-way frequency table. In a contingency table, expected frequencies are calculated based on the assumption that there is no association between the variables being analyzed.

Observed frequencies, on the other hand, are the actual frequencies of the data being analyzed. When all the expected frequencies in a contingency table are equal to the observed frequencies, it means that there is no association between the variables, and the calculated statistic equals zero. This is because the difference between the observed and expected frequencies is used to calculate the statistic, and if there is no difference, the statistic will be zero.

Therefore, the statement "In a contingency table, when all the expected frequencies equal the observed frequencies the calculated statistic equals zero" is true.

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A professional golfer to make about 40.7 holes over 5 rounds of golf with the new club, while an amateur golfer would only make about 1.6.

First, let's define some variables to represent the probabilities of making a hole for a professional golfer and an amateur golfer:

Let p be the probability that a professional golfer makes a hole with the new club.

Let q be the probability that an amateur golfer makes a hole with the new club.

According to the company's claims, we know that:

p = 1.2q (since the professional golfer makes a hole 120% of the time, which is 1.2 times the probability of the amateur golfer making a hole)

Next, we need to determine the probability of each golfer making a hole during one round of golf, which consists of 18 holes. Let's assume that each hole is independent of the others, meaning that the outcome of one hole does not affect the outcome of another. In that case, the probability of making at least one hole in a round can be calculated using the complement rule:

The probability that a professional golfer makes at least one hole in a round is 1 minus the probability that the golfer misses every hole: \(1 - (1-p)^{18} .\)

The probability that an amateur golfer makes at least one hole in a round is\(1 - (1-q)^{18} .\)

Now, let's use these probabilities to calculate the expected number of holes each golfer will make in 5 rounds of golf:

The expected number of holes made by a professional golfer in 5 rounds is 5 times the expected number of holes made in one round, which is \((1 - (1-p)^{18} )\times18.\)

The expected number of holes made by an amateur golfer in 5 rounds is 5 times the expected number of holes made in one round, which is \((1 - (1-q)^{18} )\times18.\)

We can simplify these expressions using the relationship between p and q:

The expected number of holes made by a professional golfer in 5 rounds is \(518(1 - (1-1.2q)^{18} ).\)

The expected number of holes made by an amateur golfer in 5 rounds is \(518(1 - (1-q)^{18} ).\)

We can now evaluate these expressions using the values of p and q:

\(p = 1.2q, so q = p/1.2\)

Substituting this into the expressions above, we get:

The expected number of holes made by a professional golfer in 5 rounds is\(518(1 - (1-1.2(p/1.2))^{18} ) = 518(1 - (1-p)^{18} ).\)

The expected number of holes made by an amateur golfer in 5 rounds is \(518(1 - (1-p/1.2)^{18} ).\)

Finally, we can evaluate these expressions using the given probabilities:

The expected number of holes made by a professional golfer in 5 rounds is\(518(1 - (1-1.2q)^{18} ) = 518(1 - (1-1.2(0.1))^{18} ) = 40.7.\)

The expected number of holes made by an amateur golfer in 5 rounds is \(518(1 - (1-q)^{18} ) = 518(1 - (1-0.1/1.2)^{18} ) = 1.6.\)

So according to these calculations, we would expect a professional golfer to make about 40.7 holes over 5 rounds of golf with the new club, while an amateur golfer would only make about 1.6

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Probability is the quantitative measure of the likelihood of the occurrence of an event.

It is mathematically expressed as:

We can decide to call the set of numbers below 7 "A".

A = {1, 2, 3, 4, 5, 6}

|A| = 6

We call the universal set, the set containing all the numbers rollable "U"

|U| = 12

Our probability is therefore:

Given matrix:

a = |1 1 −4|

   | 0 2 1 |

   | 1−1 −5|

The rank of A is 2 and the nullity of A is 1.

To find the rank and nullity of the matrix A, we first need to put the matrix in row-echelon form. The given matrix A is:

A = | 1  1 -4 |
    | 0  2  1 |
    | 1 -1 -5 |

Step 1: Subtract the first row from the third row:

A = | 1  1 -4 |
    | 0  2  1 |
    | 0 -2 -1 |

Step 2: Add the third row to the second row:

A = | 1  1 -4 |
    | 0  0  0 |
    | 0 -2 -1 |

Since we cannot simplify this matrix further, this is the row-echelon form of A.

Now, let's find the rank and nullity.

The rank of a matrix is the number of linearly independent rows or the number of non-zero rows in its row-echelon form. In this case, there are two non-zero rows, so the rank of A is 2.

The nullity of a matrix is the number of free variables or the difference between the number of columns and the rank. In this case, there are 3 columns and the rank is 2, so the nullity of A is 3 - 2 = 1.

Therefore, the rank of A is 2 and the nullity of A is 1.

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Answer:

yes it's a parallelogram

Step-by-step explanation:

Theorem : it's has 4 right angles and the opposite sides are parallel to each other.

give me brainliest for all my answers

Answer:

Please Contact Your Teacher That Word Is Not Spelled Right Its Suppose To Be Roof Not Root!

And I Think Its B

Answer: b=10k-80

Step-by-step explanation:

Solve for b by simplifying both sides of the equation, then isolating the variable.

On average, a customer spends approximately 1.16 minutes waiting time on hold before they can start speaking to a representative.

To find the average waiting time for a customer on hold before they can start speaking to a representative, we need to consider both the arrival rate of calls and the average service time of the staff members.

Given:

9 staff members taking calls.

On average, one call arrives every 5 minutes (standard deviation of 5 minutes).

Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27 minutes).

To calculate the average waiting time, we need to use queuing theory, specifically the M/M/c queuing model. In this model:

"M" stands for Markovian or memoryless arrival and service times.

"c" represents the number of servers.

In our case, we have an M/M/9 queuing model since we have 9 staff members.

The average waiting time for a customer on hold is given by the following formula:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

Where:

c = number of servers (staff members) = 9

μ = average service rate (1 / average service time)

λ = average arrival rate (1 / average interarrival time)

ρ = λ / (c * μ)

First, let's calculate the average arrival rate (λ):

λ = 1 / (average interarrival time) = 1 / 5 minutes = 0.2 calls per minute

Next, calculate the average service rate (μ):

μ = 1 / (average service time) = 1 / 18 minutes = 0.0556 customers per minute

Now, calculate ρ:

ρ = λ / (c * μ) = 0.2 / (9 * 0.0556) ≈ 0.407

Finally, calculate the waiting time:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

= (1 / (9 * (0.0556 - 0.2))) * (0.407 / (1 - 0.407))

≈ 1.16 minutes

Therefore, on average, a customer spends approximately 1.16 minutes waiting on hold before they can start speaking to a representative.

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Answer:

3r < = 4r - 6

3r - 4r < = -6

-r < = -6

r > = 6........it is 6 and 7

Step-by-step explanation:

Answer:

your answer would be 6, and 7.

Step-by-step explanation:

Two statements are logically equivalent if they have the same truth value in all possible circumstances, meaning that they are either both true or both false in any given context.

For example, the statement "All dogs are mammals" is logically equivalent to the statement "All non-mammals are not dogs." Although the statements use different words and phrasing, they convey the same information and are both true.

Another example would be the statement "x>2" is logically equivalent to the statement "x>=3" because they both would have the same solutions.

Logical equivalence is important in logical reasoning, proof and in computer science where it is used to determine if two statements are logically equivalent which leads to simplify the boolean expressions.

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Answer:

There would be 876 legs.

Step-by-step explanation:

To do it you could first find how many legs there are on one farm. SO you would take the 6 cats in one barrel. Then times it by the 6 kittens each of them have. That's the number of cats. Then times than number by 4 to get the total number of legs in one barrel. Then you add in the two legs of the farmer. Then times that total number by 6 to get all the legs on all six farms.

The page number on the right hand side is 73.

What is a Quadratic Equation?

A quadratic equation in x is any equation of the type ax2 + bx + c = 0, where a, b, and c are coefficients and a = 0.

Solution:

Let, the number of the page on the left hand side be x

So, the number on the right hand side of the book will be (x + 1)

According to the Question,

(x)(x + 1) = 6162

\(x^{2} + x = 6162\)

x = 72 and - 79

Since, the page of book can not be negative

Therefore, the page on the left hand side is 72

This implies that the page on the right hand side is 73.

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Answer:

32768

Step-by-step explanation:

Answer:

384800 square centimeters (cm²); 3.848 × 107 square millimeters (mm²); 1.48572E-5 square miles (mi²); 46.0217 square yards (yd²)

Step-by-step explanation:

The missing values are derived from the graph as follows:

3 ) 7, 14, 21, 28, 35

4) 3, 7, 10, 14, 17

5) 1, 21, 10, 49, 19

In mathematics, a graph is defined as a graphical representation or diagram that organizes facts or values. The graph's points frequently reflect the relationship between two or more objects.

In order to solve for the above values, the best way is to spot the function that exists in the graph which is given as:

F(y) = 3.5x

In the first table, where x = 2

y= 3.5 *2

= 7

This iteration goes on and on and is consistent for all the values.

In the second table,

Where F(y) is known, for example 10.5, then x is derived as:

10.5 = 3.5x (divide both sides by 3.5)

x = 3

This iteration goes on and on and is consistent for all the values.

In the third table, we simply swap the values back and forth using the function F(y) = 3.5x to derive all values.

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Answer:

Step-by-step explanation: This week, I had a question in math class about the different types of angles, such as alternate interior angles theorem, alternate exterior angles, same-side interior angles, same-side exterior angles, corresponding angles, concurrent lines, perpendicular lines, and a few more types of angles about lines and knowing what matches to what type of angle. Yes, I did ask a few questions when I was confused about certain lines and how they have this angle, such as a concurrent line. Yes, my question was answered. I actually enjoy asking questions because if I don't learn what I'm confused about, how will I know how to improve and avoid making the same mistakes? Yes, I had someone else ask the same question I had before, whether it was something new learned in class or something confusing or difficult to learn. It made me feel relieved and grateful because I'm glad I wasn't the only one who was confused, and it makes it easier when someone else doesn't understand the same step, and challenges when learning new things. The questions we ask lead to new discoveries. Questions lead us to answers we never considered before we asked the question. Of course, one cannot simply ask question after question without considering possible answers. Many people, on the other hand, are afraid that by asking questions, they will appear weak, ignorant, or unsure. They are afraid that asking questions will place them in a negative light. Lastly, some people are so eager to get things done that they don't stop to ask questions because it might slow them down.