I need answer quickly

The amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

In the question, we are informed that the triangle KLM, represents a section of a park set aside for picnic tables. We are also informed that the picnic area will take up approximately 400 square yards of the park.

We are asked for the amount of fencing needed to surround the perimeter of the picnic area of the park.

We know the area of a triangle can be found using the trigonometric area formula, Area = (1/2)ab sin C.

Using this in the given triangle KLM, we get:

Area = (1/2)(KL)(KM)(sin K),

or, 400 = (1/2)(KL)(45)(sin 25°),

or, KL = (400*2)/(45*sin 25°) = 800/(45*0.42262) = 800/19.017822 = 42.0658 ≈ 42 yd.

Thus, we get KL = 42 yards.

Now, the perimeter of the picnic area = the perimeter of the triangle KLM = KL + LM + MK = 42 + 20 + 45 yards = 107 yards.

Thus, the amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

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Answer: b

Step-by-step explanation:

As a result, 23.2 x 0.14 equals 3.248.

One of the four fundamental math processes, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual adding of sets of identical size.

To multiply 23.2 and 0.14,

  23.2

x 0.14

---------

  32.48   (0.2 x 0.14 = 0.028, write down 8 and carry over 2)

+ 232.0   (3 x 0.14 = 0.42, add carried over 2 to get 4, write down 0 and carry over 4)

--------

 3.248   (the final answer)

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A manufacturer of compact fluorescent light bulbs advertises have a standard deviation of 1,000 hours so the values are:

A normal distribution with,

μ = 9000

σ = 1000

a) The standardized score is the value x decreased by the mean and then divided by the standard deviation.

x = 105000 - 9000 / 1000 ≈ 1.50

Determine the corresponding probability using the normal probability table in appendix,

P(X>10500) = P(Z>1.50) = 1 - P(Z<1.50)

= 1 - 0.9332 = 0.0668.

b) n = 15

The sampling distribution of the mean weight is approximately normal, because the population distribution is approximately normal.

The sampling distribution of the sample mean has mean μ and standard deviation σ/√n

μ = 1000/√15 = 258.19

c) The sampling distribution of the sample mean has mean μ and standard deviation σ/√n

The z-value is the sample mean decreased by the population mean, divided by the standard deviation:

z = x-u/σ/√n = 10500-9000/1000√15 = 5.81

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Answer:

3/2-u

Step-by-step explanation:

You need to break the question down by seeing that is it asking for u less than something so that means subtraction. You then see the quotient of 2 and 3 so then you put 3 over 2 to divide and then put your subtract 2 onto it

Answer:

is there a question?

Step-by-step explanation:

Answer:

Desmond

Step-by-step explanation:

3 over 5 x 100% = 60%

20 over 25 x 100% = 80%

6.5 over 10 x 100% = 65%

38 over 50 x 100% = 76%

False. The columns of matrix P are not necessarily eigenvectors of matrix A. While the diagonal matrix D contains the eigenvalues of A, the eigenvectors are not explicitly determined by the columns of P.

False. The columns of matrix P are not guaranteed to be eigenvectors of the transpose of matrix A (A.T).

In the given equation, \(a = PDP^(-1),\)

where D is a diagonal matrix and P is an invertible matrix.

The diagonal elements of D represent the eigenvalues of matrix A, while the columns of P correspond to the eigenvectors of A.

When considering the transpose of matrix A (A.T), we have \((A.T) = (PDP^(-1)).T = (P^{(-1)})^T D^T P^T.\)

Taking the transpose of a product involves reversing the order of the matrices and transposing each matrix individually.

Therefore, we have \((A.T) = P^T D^T (P^{(-1)})^T.\)

Since P is an invertible matrix, its transpose \(P^T\) is also invertible. Similarly, the transpose of the inverse of \(P, (P^{(-1)} )^T,\) is also invertible.

However, the key point is that the diagonal matrix\(D^T\) is not guaranteed to have the same eigenvalues as matrix A.

The eigenvalues of A are present in D, but they may not remain on the main diagonal after transposing.

Thus, the columns of matrix P, which correspond to the eigenvectors of A, may not necessarily be the eigenvectors of A.T.

In conclusion, the statement is false.

The columns of matrix P do not have to be eigenvectors of the transpose of matrix A (A.T).

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Answer:

x=-6/4

Step-by-step explanation:

collect like terms

then find d lcm

Answer:

\(\textsf{C.} \quad x=\dfrac{1}{6}(y-15)^2-\dfrac{5}{2}\)

Step-by-step explanation:

As the directrix is vertical, the parabola is sideways.

Conic form of a sideways parabola with a horizontal axis of symmetry:

\((y-k)^2=4p(x-h)\quad \textsf{where}\:p\neq 0\)

If p > 0, the parabola opens to the right, and if p < 0, the parabola opens to the left.

Given:

Therefore:

Add  h + p = -1  to  h - p = -4  to eliminate p:

⇒ 2h = -5

⇒ h = -5/2

⇒ p = 3/2

Substituting the found values into the formula:

\(\implies (y-15)^2=4\left(\dfrac{3}{2}\right)\left(x+\dfrac{5}{2}\right)\)

\(\implies (y-15)^2=6\left(x+\dfrac{5}{2}\right)\)

\(\implies \dfrac{1}{6}(y-15)^2=x+\dfrac{5}{2}\)

\(\implies x=\dfrac{1}{6}(y-15)^2-\dfrac{5}{2}\)

Answer: DE NADA

Step-by-step explanation: ANSWER EDMENTUM/PLUTO

If the distance is 45 miles and speed of both cyclist is 14 and 16 miles per hour then they will take time of 1.5 hour to meet.

Given First cyclist is riding at 14 miles per hour and second at 16 miles per hour. The distance is 45 miles.

We know that speed is the distance covered by an object in a particular period of time.

Speed=distance/time.

It is expressed as kilometers per hour or miles per hour, etc.

If both riders are riding towards each other then the speed will be 16+14 =30 miles per hour.

Distance=45 miles.

Time =distance/speed

=45/30

=1.5

Hence if first cyclist is riding at 14 miles per hour and second is riding at 14 miles per hour and the distance is 45 miles then they will meet after 1.5 hours.

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Answer: 5 x 3 = 15 because 5 + 3 = 8

Step-by-step explanation:

Answer:

5 and 3

Step-by-step explanation:

5 x 3 = 15

but,

5 + 3 = 8 :)

For any m x n matrix A, AAT and ATA are symmetric matrices as  (AAT)^T = AAT and (ATA)^T = ATA.

To prove or disprove that for any m x n matrix A, AAT and ATA are symmetric, we can use the definition of a symmetric matrix and the properties of matrix transposes.
A matrix B is symmetric if B = B^T, where B^T is the transpose of B. So, we need to show that (AAT)^T = AAT and (ATA)^T = ATA.
Step 1: Find the transpose of AAT:
(AAT)^T = (AT)^T * A^T (by the reverse order property of transposes)
(AAT)^T = A * A^T (since (A^T)^T = A)
(AAT)^T = AAT
Step 2: Find the transpose of ATA:
(ATA)^T = A^T * (AT)^T (by the reverse order property of transposes)
(ATA)^T = A^T * A (since (A^T)^T = A)
(ATA)^T = ATA

Since (AAT)^T = AAT and (ATA)^T = ATA, we have proved that for any m x n matrix A, AAT and ATA are symmetric matrices.

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Answer:

Step-by-step explanation:

The inequality that models the given situation will be y*$22 + x*$38 ≤ $220 And some solutions are (1, 1), (1, 2), (2, 2).

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

To find the inequality, we need to define the variables that we will use, the variables are:

x = number of pants bought.

y = number of shirts bought.

Then Knowing the price of each individual item, the total cost will be given by:

C = y $22 + x $38

And Lee has $220 to spend, thus the maximum amount that he can spend is $220, we have the inequality:

y*$22 + x*$38 ≤ $220

Now, to find solutions we just need to find some values of x and y that make the inequality true, i.e , one solution is x = 1 and y = 1.

1*$22 + 1*$38 ≤ $220

$60 ≤ $220

Therefore, This is true, so (1, 1) is a solution.

Hence Another solutions are (2, 2), (1, 2), (0, 3), etc.

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The probability that Jade gets the specific outcome you're interested in when rolling two dice is 1/6.

To find the probability that Jade gets a specific outcome when rolling two dice, we will use the sample space for rolling two dice, which consists of 36 possible outcomes (since there are 6 sides on each die, and we have 2 dice: 6 x 6 = 36).

Step 1: Determine the specific outcome you are interested in (for example, the sum of the numbers on the dice being 7).

Step 2: Count the number of ways this outcome can occur. For example, if we want a sum of 7, there are 6 possible outcomes: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1).

Step 3: Calculate the probability by dividing the number of successful outcomes by the total number of possible outcomes in the sample space.

In our example, there are 6 successful outcomes, and there are 36 possible outcomes in the sample space:

Probability = (Number of successful outcomes) / (Total number of possible outcomes) = 6/36

Step 4: Express the probability in its simplest form by reducing the fraction. In our example, 6/36 can be reduced to 1/6.

So, the probability that Jade gets the specific outcome you're interested in when rolling two dice is 1/6.

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-4 degrees fahrenheit

Answer:

A vector graphic consists of a set of instructions for creating a picture is a true statement.

Step-by-step explanation:

A vector graphic is an image format that represents images as a set of mathematical instructions or geometric primitives such as lines, curves, and shapes. Instead of using a grid of pixels like raster graphics, vector graphics define images based on mathematical formulas and coordinates.

These instructions or mathematical representations describe the shapes, colors, and other visual attributes of the image. They allow the image to be scaled, resized, and manipulated without loss of quality since the instructions can be recalculated and redrawn at any resolution or size.

Vector graphics are often created and edited using specialized software such as Adobe Illustrator, CorelDRAW, or Inkscape. They are commonly used for logos, illustrations, diagrams, typography, and other graphical elements where scalability and flexibility are important.

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The quarterly operating profit margin of TMG Ltd over the past six years is provided in Table 4.1, indicating the financial performance of the business during that period.

In order to assess the impact of the intervention strategy introduced by the current CEO three years ago, the board of directors (BOD) of TMG Ltd has contracted a researcher to analyze the data and determine if there have been significant improvements in the business outcomes. The quarterly operating profit margin serves as the unit of analysis for this evaluation.

Table 4.1 allows the researcher to examine the trend and fluctuations in the quarterly operating profit margin over the six-year period. By analyzing the data, the researcher can identify any noticeable changes in the financial performance of TMG Ltd, particularly after the implementation of the intervention strategy. The BOD is interested in understanding whether the strategy has resulted in improved profitability and overall financial health of the company.

The researcher will likely perform statistical analysis, such as calculating averages, trends, and identifying any significant variations, to draw conclusions about the effectiveness of the intervention strategy. By comparing the quarterly operating profit margin before and after the strategy's implementation, the researcher can assess whether the new CEO's efforts have had a positive impact on the company's financial performance.

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A bin size οf 40 is mοst apprοpriate fοr this set οf data: 86 94 55 67 41 59 67 74 58 49 66 68 54 20

When displaying numerical data, a histοgram divides the data intο "bins" οf identical breadth. Each categοry is represented graphically by a bar whοse height reflects the number οf data elements it cοntains. Intervals, grοups, and cοntainers are οther names fοr bins.

Given,

86 94 55 67 41 59 67 74 58 49 66 68 54 20

We arrange the data as-

20 41 49 54 55 58 59 66 67 67 68 74 86 94

Tοtal number οf data is 14.

Sο it is easy tο divide the data in 2 grοups οr bin.

Twο grοups are 20 tο 60 and 60 tο 100.

The size οf the bin is 40.

Hence the cοrrect answer is B, 40

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Answer:

1700 divided by 40 and that would be 42.5 so she does 42 1/2 meters a minute.

Step 1: Problem

a 20 foot string of lights is attached to the top of a 12-foot pole for a holiday display. How far from the base of the pole should the end be anchored?​

Step 2: Concept

Draw a diagram to illustrate the question.

Step 3: Method

Opposite = 12

Adjacent = L

Hypotenuse = 20

Step 4: Final answer

The end of the string light from the base of the pole = 16 foot

Final answer = 16 foot

The value of a = -2 and b = 3.

What is a system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

Here, we have

Given: 3a - 5b = -26, a + 2b = 6

We have to solve this equation.

3a - 5b = -26...(1)

a + 2b = 6...(2)

Now we multiply equation (1) by 2 and equation (2) by 5 and we get

6a - 10b = -52....(3)

5a + 10b = 30....(4)

After solving equations (3) and (4), we get

11a = -22

a = -2

Now we put the value of 'a' in equation(3) and we get

6(-2) - 10b = -52

-10b = -52 + 12

-10b =  -30

b = 3

Hence, the value of a = -2 and b = 3.

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e = 0.33

So, the margin of error (e) is 0.33. To compute the margin of error (e) for the given confidence interval for a population mean, we need to use the formula:

e = (upper limit of the interval - lower limit of the interval) / 2

Plugging in the given values, we get:

e = (17.71 - 17.05) / 2

e = 0.66 / 2

e = 0.33

Therefore, the margin of error (e) for the given confidence interval is 0.33.
Hi! Based on the given confidence interval for the population mean (μ), which is 17.05 < μ < 17.71, you can compute the margin of error (e) by finding the difference between the upper limit and the lower limit, and then dividing that by 2.

Here's the calculation:

e = (Upper Limit - Lower Limit) / 2
e = (17.71 - 17.05) / 2
e = 0.66 / 2
e = 0.33

So, the margin of error (e) is 0.33.

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The system of equations that models the situation at the football game is:

Equation 1: 4p + 2s = 260 ,Equation 2: s = 3p + 5

In the first equation, 4p represents the total revenue from pizzas sold (since each pizza costs $4) and 2s represents the total revenue from sodas sold (since each soda costs $2). The sum of these two revenue values should equal $260, which is the total revenue made by the booster club.

In the second equation, s represents the number of sodas sold, and it is stated that the number of sodas sold was 5 more than three times the number of pizzas sold. Therefore, the equation s = 3p + 5 expresses this relationship.

By setting up and solving this system of equations, you can determine the values of p and s, representing the number of pizzas and sodas sold, respectively, at the football game.

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Answer:

12ft² + 12ft² = 24ft²

Step-by-step explanation:

Pls, choose me as brainliest!

Answer: x + a = 3/4If you want to solve for x, thenx = 3/4 -

Step-by-step explanation: Good luck!

1. The correct conversion of the equation e^-7 = 0.0009119 is option C) -7 = loge 0.0009119.

2. The correct conversion of the equation e^5 = t is option C) In (5) = t.

3. The correct conversion of the equation e^x = 13 is option B) In 13 = x.

4. The correct conversion of the equation In 29 = 3.3673 is option C) 29 = e^3.3673.

In each case, the logarithmic equation represents the inverse operation of the exponential equation. By converting the equation from exponential form to logarithmic form, we express the relationship between the base and the exponent. Similarly, when converting from logarithmic form to exponential form, we express the exponentiated form using the base and the logarithm value. These conversions allow us to manipulate and solve equations involving exponents and logarithms effectively.

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Answer:

There are 21 observations in the data set, which is an odd number. Therefore, the middle value will be the (n+1)/2th observation, where n is the total number of observations.

The middle value = (21+1)/2 = 11th observation

The 11th observation is 4,291, so the median of the data is $4.291 million dollars.

The analysis of the matrices and vectors components indicates;

a) coa(A) = 1

b) <A, B> = 37

c) ||u|| ≈ 91.79

A vector is an mathematical object has magnitude and direction. Vector quantities can be represented by an ordered list of numbers, representing the components of the vector.

a) The cosine of the angle between the vectors, can be obtained from the dot product formula as follows;

cos(A) = (5)·(0) + (0)·(0) + (82)·(1) = 82

The magnitudes of the vectors are; ||u|| = √(5² + 0² + 82²) = 82

||v|| = √(0² + 0² + 1²) = 1

cos(A) = (u·v)/(||u||·||v||) = 82/82 = 1

cos(A) = 1

b) The inner product of the matrices;  \(A=\begin{bmatrix} 4&7 \\ 8& 4 \\\end{bmatrix}\) and \(B = \begin{bmatrix}5 &-1 \\ 3&0 \\\end{bmatrix}\) can be found from the sum of the product of the corresponding entries of the matrices as follows;

<A, B> = 4 × 5 + 7 × (-1) + 8 × 3 + 4 × 0 = 37

The inner <A, B> = 37

c) The norm of a vector is defined as the square root of the sum of the squares of the components of the vector, therefore;

||u|| = √(|2 + 26i|² + |1 + 88i|² + |0|²)

|2 + 26i| = √(2² + 26²) = √(680)

|1 + 88i| = √(1² + 88²) = √(7745)

||u|| = √((√(680))² + (√(7745))² + (0)²) = √(8425) ≈ 91.79

The norm of the vector is ||u|| ≈ 91.79

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Answer:

23 inches bc 6 times 6 is formula for area so ya 6 times 4 equals 24

Answer:

A 24

Step-by-step explanation:

First find the side lengths. In this example, use 36 squared which equals 6.

Next use the side lengths to find perimeter because the question says wants ribbons on the edge. In this example, 6+6+6+6 or (6+6) times 2 which equals 24.