help pls
A reflection in the x-axis followed by a reflection in the y-axis.
A rotation of 180° about the origin followed by a translation of one unit to the left.
A rotation of 180°about the origin followed by a translation of one unit to the left.
A rotation of 180° about the origin followed by a translation of one unit to the right.

Answer:

2.51 meters

Step-by-step explanation:

Answer:

sdd

Step-by-step explanation:

seds

Answer

x = 4 units

y = 4.5 units

Explanation

We are told that the diagonals bisect each other. So,

AE = EC

DE = EB

Hence,

4y = 18

Divide both sides by 4

(4y/4) = (18/4)

y = 4.5 units

6x = 24

Divide both sides by 6

(6x/6) = (24/6)

x = 4 units

Hope this Helps!!!

Answer:

r=-24

Step-by-step explanation:

Step1:  Add 4 to both sides

-2r - 4 + 4 > 44 + 4

-2r > 48

Step 2: Divide both sides by -2

-2r/ -2 > 48/ -2

r < -24

Answer:

heyyyyyyyyyyyyyyy

Step-by-step explanation:

Answer:

sheeshhhhhhhhhhhhh    

;)

Step-by-step explanation:

daddy chill

For a relation to be a function, each input (first coordinate of an ordered pair) must be associated with exactly one output (second coordinate of an ordered pair).

In other words, there cannot be two or more ordered pairs in the relation with the same first coordinate but different second coordinates. The given set of ordered pairs {(−2,8),(4,6),(10,4)} represents a relation that is a function because each input (−2, 4, 10) is associated with a unique output (8, 6, 4), respectively.

To determine which point, when added to the set, would form a relation that is not a function, we need to find a point that has the same first coordinate as one of the existing points in the set but a different second coordinate. Option 2, (4, 2), has the same first coordinate as an existing point in the set (4, 6), but a different second coordinate. Therefore, adding point (4, 2) to the set would result in a relation that is not a function because the input 4 would be associated with two different outputs (6 and 2).

Options 1, 3, and 4 would not result in a relation that is not a function because they have unique first coordinates that are not already in the set, and adding them would not create a situation where the same input is associated with multiple outputs.

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Answer:

Complementary angles: the angles whose sum is 90° are called complementary angles.

Supplementary angles: the angles whose sum is 180° are called supplementary angles.

Step-by-step explanation:

hope it might help....

The pseudo-order rate constant, or apparent rate constant, in equation (3) refers to a rate constant that appears in a pseudo-order rate law. It is called "pseudo" because it does not represent the true reaction order but is an effective rate constant obtained under specific conditions.

In the rate law for the reaction cC + dD → products, the rate is expressed as rate = k(C)^α(D)^β, where α and β are the unknown reaction orders.

a) The rate law for this reaction will be a pseudo β-order law in (D) when the concentration of D remains much larger than the concentration of C throughout the reaction. In other words, if the concentration of D is in excess compared to C, then the rate becomes solely dependent on the concentration of C, resulting in a pseudo β-order rate law.

b) To determine the value of β using the method of isolation, a series of experiments can be conducted.

If β is equal to 1, the reaction rate would be directly proportional to the concentration of D. By varying the concentration of D while keeping the concentration of C constant, multiple experiments can be performed, and the corresponding rates can be measured. Plotting the rate versus the concentration of D on a graph would yield a straight line with a slope of β, indicating that β is equal to 1.

If β is equal to 2, the reaction rate would be proportional to the square of the concentration of D. Similar to the previous case, different experiments can be carried out by changing the concentration of D while keeping C constant. The obtained rates can be plotted against the square of the concentration of D. If the resulting graph shows a straight line with a slope of β, it indicates that β is equal to 2.

Analyzing the experimental data and observing the relationship between the rate and the concentration of D in each case allows the determination of the value of β in the rate law.

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Answer:

  0.16

Step-by-step explanation:

You want the probability that team b will win 2 games in a row, given that the probability of team a winning is 0.6, and the probability of team b winning is 0.4.

After one win for team A, the series can have the possible outcomes ...

  A – team a wins with probability 0.6

  BA – team a wins with probability (0.4)(0.6) = 0.24

  BB – team b wins with probability (0.4)(0.4) = 0.16

The probability of team b winning the series is 0.16.

__

Additional comment

The probability team a wins the series after winning the first game is 0.6 +0.24 = 0.84 (= 1 -0.16). At the beginning of the series, the probability b wins is 0.352, dropping dramatically after a wins the first game.

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The probability that Team B wins the series after Team A wins the first game is 0.4 or 40%.

What is probability?

Probability is a measure or quantification of the likelihood of an event occurring. It is a numerical value assigned to an event, indicating the degree of uncertainty or chance associated with that event. Probability is commonly expressed as a number between 0 and 1, where 0 represents an impossible event, 1 represents a certain event, and values in between indicate varying degrees of likelihood.

To determine the probability that Team B wins the series after Team A wins the first game, we need to consider the different possible outcomes of the remaining games.

Since the series continues until one team wins two games, there are three possible scenarios:

Team A wins the next game (Team A wins the series)

Team B wins the next game, followed by Team A winning the third game (Series tied at 1-1)

Team B wins both the next and third games (Team B wins the series)

We'll calculate the probabilities of these scenarios and then determine the probability of Team B winning the series.

Scenario 1: Team A wins the next game (Team A wins the series):

The probability of Team A winning the next game is 0.6.

Scenario 2: Team B wins the next game, followed by Team A winning the third game (Series tied at 1-1):

The probability of Team B winning the next game is 0.4.

The probability of Team A winning the third game is 0.6.

To calculate the probability of this scenario, we multiply the individual probabilities:

Probability = 0.4 * 0.6 = 0.24

Scenario 3: Team B wins both the next and third games (Team B wins the series):

The probability of Team B winning the next game is 0.4.

The probability of Team B winning the third game is 0.4.

To calculate the probability of this scenario, we multiply the individual probabilities:

Probability = 0.4 * 0.4 = 0.16

To find the probability of Team B winning the series, we add the probabilities of Scenario 2 and Scenario 3 since both outcomes result in Team B winning the series:

Probability = 0.24 + 0.16 = 0.4

Therefore, the probability that Team B wins the series after Team A wins the first game is 0.4 or 40%.

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143

Step-by-step explanation:

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Answer:

143

Step-by-step explanation:

854_;(94689

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53589_#:873290)/";5348

To find the gradient vector ∇f(4, 7), we need to compute the partial derivatives of f(x, y) = xy with respect to x and y.

Given:

f(x, y) = xy

Partial derivative with respect to x (keeping y constant):

∂f/∂x = y

Partial derivative with respect to y (keeping x constant):

∂f/∂y = x

So, the gradient vector ∇f(4, 7) is (∂f/∂x, ∂f/∂y) evaluated at (4, 7):

∇f(4, 7) = (7, 4)

The equation of the tangent line to the level curve f(x, y) = 28 at the point (4, 7) can be written as:

z - f(4, 7) = ∇f(4, 7) · (x - 4, y - 7)

Substituting the values:

z - 28 = (7, 4) · (x - 4, y - 7)

Expanding the dot product:

z - 28 = 7(x - 4) + 4(y - 7)

z - 28 = 7x - 28 + 4y - 28

z = 7x + 4y - 56

Therefore, the equation of the tangent line to the level curve f(x, y) = 28 at the point (4, 7) is z = 7x + 4y - 56.

To sketch the level curve, the tangent line, and the gradient vector, you can plot the points on a graph with x and y coordinates and represent the tangent line as a straight line passing through the point (4, 7) with a slope of 7/4. The gradient vector (7, 4) can be represented as an arrow starting from the point (4, 7) in the direction of the vector.

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The percentage of total calories consumed that should come from fat is 20 percent to 35 percent (OPTION B)

The percentage of total calories consumed that should come from fat is 20 percent to 35 percent (option b). This recommendation is based on the Dietary Guidelines for Americans and ensures a balanced diet to maintain optimal health. Here's a step-by-step explanation:
Understand the question: You are asked to determine the recommended percentage of total calories that should be obtained from fat in a balanced diet.
Review the given options: The provided options are a) 5% to 15%, b) 20% to 35%, c) 30% to 40%, and d) 10% to 25%.
Recall the recommended guidelines: According to the Dietary Guidelines for Americans, the appropriate percentage range of total calories from fat is 20% to 35%.
Identify the correct option: Based on the guidelines, option b (20% to 35%) is the correct answer.
Provide the answer: The percentage of total calories consumed that should come from fat is 20 percent to 35 percent (option b). This recommendation ensures a balanced diet to maintain optimal health.

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There are 485,415 4-letter combinations (possible words) where the third letter is a vowel and the other letters are consonants.

We can use the rule of product to find the number of 4-letter combinations where the third letter is a vowel and the other letters are consonants.

First, we need to choose the third letter to be a vowel. There are 5 choices for this.

Next, we need to choose the first letter to be a consonant. There are 21 choices for this.

Similarly, we need to choose the second and fourth letters to be consonants. There are 21 choices for each of these.

Using the rule of product, we can multiply these choices together to get the total number of 4-letter combinations:

5 × 21 × 21 × 21 = 485,415

Therefore, there are 485,415 4-letter combinations (possible words) where the third letter is a vowel and the other letters are consonants.

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The probability that nadia randomly picks up a reference book and then without replacing it picks up a nonfiction book is 5/136.

Given:

17 total number books out of which 10 are fiction books,2 are reference books , 5 non fiction books.

Number of ways of picking reference book = \(2_C_1\)

Probability of picking a reference book = \(2_C_1/17_C_1\)

= 2/17

The total number of books left on the shelf is 16.

The number of ways in which a non fiction book can be picked after a reference book is already picked = \(5_C_1/16_C_1\)

= 5/16.

Total probability = 2/17*5/17

= 10/272

= 5/136.

Therefore The probability that nadia randomly picks up a reference book and then without replacing it picks up a nonfiction book is 5/136.

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Answer:

Step-by-step explanation:

Sum of angles in triangle equals to 180°

In graph theory, a clique is a subset of vertices where every pair of distinct vertices is connected by an edge, and an independent set is a set of vertices where no two vertices are connected by an edge. We have shown that G has two distinct independent sets of size 2.

Given that G is a graph with n ≥ 3 vertices, having a clique of size n-2 and no cliques of size n-1, we need to prove that G has two distinct independent sets of size 2. Consider the clique of size n-2 in G. Let's call this clique C. Since the graph has no cliques of size n-1, the remaining two vertices (let's call them u and v) cannot both be connected to every vertex in C. If they were, we would have a clique of size n-1, which contradicts the given condition. Now, let's analyze the connection between u and v to the vertices in C. Without loss of generality, assume that u is connected to at least one vertex in C, and let's call this vertex w. Since v cannot form a clique of size n-1, it must not be connected to w. Therefore, {v, w} forms an independent set of size 2. Similarly, if v is connected to at least one vertex in C (let's call this vertex x), then u must not be connected to x. This implies that {u, x} forms another independent set of size 2, distinct from the previous one.

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\(2x = \frac{x+2}{2} => 4x = x + 2 => 3x = 2 => x = 2/3\)

ok done. Thank to me :>

The probability that the sample proportion is greater than 0.24 is 0.9772

Given Data :

population proportion,  p = 0.31

sample size n = 179

μ = p = 0.31

σ = √p(1-p)/n =√( 0.31 (1-0.31 )/179 )= 0.0011

Let p be the sample proportion

p following normal distribution N (μ = 0.31 , σ = 0.0011 )

Here

z = (p - μ) / σ

Now

Now, We Have To Compute P (p > 0.24 )

Therefore,

p (p> 0.15 ) =1 - p( (p-μ )/σ < (0.24 -0.31)/0.0349 )

= 1-p(z < -2.0057) -----from z table

= 1 - 0.0228

=0.9772

Consequently, 0.9772 percent chance exists that the sample proportion will be higher than 0.24.

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Answer:

\(\huge\boxed{\sf x - 9 > 21}\)

Step-by-step explanation:

Difference of x and 9 = x - 9

The sign of greater than : ">"

So, the inequality will be:

x - 9 > 21

\(\rule[225]{225}{2}\)

Hope this helped!

The perimeter of the square is approximately 48.8 meters.

To find the perimeter of a square, we need to know the length of one side. In this case, we are given the area of the square, which is 148.84 m².

The formula for the area of a square is A = side², where A represents the area and side represents the length of one side. Rearranging the formula, we can solve for the side length:

side = √A

Plugging in the given area, we have:

side = √148.84

side ≈ 12.2 m

Now that we know the length of one side, we can find the perimeter of the square by multiplying the side length by 4, as all sides of a square are equal:

perimeter = 4 * side

perimeter ≈ 4 * 12.2

perimeter ≈ 48.8 m

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We have obtained B−1 from A−1 by the action of exchanging the first two columns below.

Invertible matrices are matrices for whom there exist other matrices which have the same dimension and this is such that  AB = BA = I, where I is the identity matrix that has the same order. Simply put, there is a Matrix B which is similar to matrix A and follows this rule. Matrix B is the inverse of matrix A.

Here, we know that matrix B is obtained by exchanging the first two rows of matrix A and B = MA with M = \(\left[\begin{array}{ccc}0&1&0.....0\\1&0&0.....0\\0&0&1.....0&..&..&..&0&0&0....1\end{array}\right]\)

So, from this, we can conclude that-

= BA−1M = MAA−1M = MM = I

= B−1 = A−1M.

By this method, we have obtained B−1 from A−1 just by exchanging the first two columns.

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Answer:

c) ab/14

Step-by-step explanation:

\(\frac{a}{7} * \frac{b}{2} =\frac{ab}{14}\)

multipling fractions rule is to multiply nominators and denominators separately

√64 is rational.

Hope this helps :)

❄ Hi there,

let us consider this –

Is \(\sqrt{64}\) a rational or irrational number?

Well, to answer that we need to work out \(\sqrt{64}\).

And we know that

\(\sqrt{64} =8\)

and 8 is a rational number.

That's it!

❄

Answer:

B' (- 6, - 6 ) , C' (- 7, - 7 )

Step-by-step explanation:

Consider the coordinates of A and A'

A (- 1, - 1 ) , A' (- 3, - 3 )

- 1 to - 3 in both the x and y direction means subtracting 2 units , then

translation rule is

(x, y ) → (x - 2, y - 2 ) , then

B (- 4, - 4 ) → B' (- 4 - 2, - 4 - 2 ) → B' (- 6, - 6 )

C (- 5, - 5 ) → C' (- 5 - 2, - 5 - 2 ) → C' (- 7, - 7 )

Answer:

g^6

Step-by-step explanation:

hope this helped

Answer:

$159.2

Step-by-step explanation:

$199 represents 100% of the cost, but since it is 20% off you subtract 20% from the 100%. Then you multiply what you got from the previous step to get your answer.

100%-20%=80%

199*0.8=159.2

The coordinate point B (3, 3)

The equation of DC

The equation of AD

Slope of line x + 4y + 8 = 0

rearranging the the equation: x + 4y + 8 = 0

4y = -x - 8

y = -1/4 x - 2

slope = -1/4

line with slope -1/4 passing through C (2 -1),

y + 1 = -1/4 (x - 2)

y = -1/4 x + 1/2 - 1

y = -1/4 x - 0.5 (equation of line DC)

line with slope -1/4 and passing through A (-1, 4)

y  - 4 = -1/4 (x + 1)

y = -1/4 x - 1/4 + 4

y = -1/4 x + 3.75 (equation of line AB)

Line running through point AD will be parallel to the line that has point B. hence we find the line running through A  (-1, 4) and D (-2, 0)

slope of line AD =  (0 - 4) / (-2 + 1) = 4

line passing through D hence equation line AD

y - 0 = 4 (x + 2)

y = 4x + 8 (equation line AD)

line of slope 4, passing through C (2, -1)

y + 1 = 4 (x - 2)

y = 4x - 8 - 1

y = 4x - 9 (equation of line BC)

From the plots (attached) point B is (3, 3)

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Answer:

Step-by-step explanation:

12

This is what we call a 45-45 traingle

This means that the lengths of the two non-hyptonouse lengths are the same

luckily we're given that it's 6√2

We can then use the pathagaryem theory to solve for the last side

we have

(6√2)²+(6√2)²=x²

Put this into your calculator and get

144= x²

x = 12

MOD(-2a a+b c+a) = 4[a+b][b+c][c+a] is an identity that holds true for all values of a, b, and c.

To show that MOD(-2a a+b c+a) = 4[a+b][b+c][c+a], we will simplify the expression

First, let's expand the expression on the left side of the equation:

MOD(-2a a+b c+a) = MOD(-\(2a^2\) - 2ab + ac + aa + bc + ca)

Now, let's simplify the expression further by grouping the terms:

MOD(-\(2a^2\) - 2ab + ac + aa + bc + ca) = MOD(\(a^2\) + 2ab + ac + bc + ca)

Next, let's factor out the common terms from each group:

MOD(\(a^2\) + 2ab + ac + bc + ca) = MOD(a(a + 2b + c) + c(a + b))

Now, let's expand the expression on the right side of the equation:

4[a+b][b+c][c+a] = 4(a + b)(b + c)(c + a)

Expanding further:

4(a + b)(b + c)(c + a) = 4(ab + ac + \(b^2\) + bc + ac + \(c^2\) + ab + bc + \(a^2\))

Simplifying:

4(ab + ac + \(b^2\) + bc + ac +\(c^2\) + ab + bc + \(a^2\)) = 4(\(a^2\) + 2ab + ac + bc + ca)

We can see that the expanded expression on the right side is equal to the expression we obtained earlier for the left side.

Therefore, MOD(-2a a+b c+a) = 4[a+b][b+c][c+a].

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