Which of the following gives the area, A, of a circle with a diameter of 6

Answer:

\(h = 15.163\ meters\)

Step-by-step explanation:

(Assuming the correct angles are 30° and 45°)

We can use the tangent relation of the angle of elevation to find two equations, then we can use these equations to find the height of the pole.

Let's call the initial distance of the boy to the pole 'x'.

Then, with an angle of elevation of 30°, the opposite side to this angle is the height of the pole (let's call this 'h') minus the height of the boy, and the adjacent side to the angle is the distance x:

\(tan(30) = (h - 1.5) / x\)

Then, with an angle of elevation of 45°, the opposite side to this angle is still the height of the pole minus the height of the boy, and the adjacent side to the angle is the distance x minus 10:

\(tan(45) = (h - 1.5) / (x - 10)\)

So rewriting both equations using the tangents values, we have that:

\(0.5774 = (h - 1.5) / x\)

\(1 = (h - 1.5) / (x - 10) \rightarrow (h - 1.5) = (x - 10)\)

From the first equation, we have that:

\(x = (h - 1.5) / 0.5774\)

Using this value of x in the second equation, we have that:

\(h - 1.5 = \frac{ (h - 1.5) }{0.5774} - 10\)

\(h + 8.5 = \frac{ (h - 1.5) }{0.5774}\)

\(0.5774h + 4.9079 = h - 1.5\)

\(0.4226h = 6.4079\)

\(h = 15.163\ meters\)

Answer:

6

Step-by-step explanation

hope this answer is right

Step-by-step explanation:

The total length is 66, so 66 - 11 = 55, then they are 5 (a) so 55/5 = 11, so the answer is 11

a right angle so 90 degrees

Answer:

$2.91

Step-by-step explanation:

$5.00 - ($1.19 +$0.89) = $2.91

                     $2.08

Answer:

Your answer is "$2.92" you piece of chicken XD good luck!!

Step-by-step explanation:

5.00 - 1.19 - 0.89 = 2.92

Answer:

34 hours

Step-by-step explanation:

Lets call M the number of hours that Maddie volunteered. Ryan volunteered 1 + 3×M hours, and altogether they volunteered 45 hours, so:

1 + 3×M + M = 45

1 + 4M = 45 Subtract 1 in both sides

4M = 44 Divide both sides by 4

M = 11 hours

So Maddie volunteered 11 hours, and Ryan volunteered

1 + 3×11 = 34 hours

Hence, the solution of the system of linear equations is;(x, y, z) = (1/3, -1, -8/3)

To convert the system to an augmented matrix and reduce it to echelon form, we will be following the steps below;Consider the given system of linear equations;

x + 3y − 2z = −4,

2x + y + z = 3,3x − y + z = 2T

he augmented matrix for the given system is; \[\left[\begin{matrix}1&3&-2&-4\\2&1&1&3\\3&-1&1&2\end{matrix}\right]\]

To reduce the augmented matrix to echelon form, we will be using the Gaussian elimination method;Performing row operations: -2R1+R2=> R2,-3R1+R3=> R3.

\[\left[\begin{matrix}1&3&-2&-4\\0&-5&5&11\\0&-10&7&14\end{matrix}\right]\]Now, performing row operation, -2R2+R3=> R3. \[\left[\begin{matrix}1&3&-2&-4\\0&-5&5&11\\0&0&-3&8\end{matrix}\right]\]

We now have the matrix in echelon form.The matrix is consistent since there is no row where we have all zeroes except the last column.

The last equation of the augmented matrix is -3z = 8.The solution of z = -8/3 is substituted into the second equation;

-5y + 5 (-8/3) = 11 => y = -1.

The solution of y = -1 and z = -8/3 is substituted into the first equation to obtain the value of x;

x + 3(-1) - 2(-8/3) = -4 => x = 1/3.

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Answer:

4v(4v+1)

Step-by-step explanation:

(4v+16v^2)

=16vv+4v

=4*4vv+4v

=4v(4v+1)

Answer and Step-by-step explanation:

Area (A) = 153

Length (l) = 8 + w

Width (w) = w

A = lw

153 = (8 + w)(w)

153 = \(w^{2} + 8w\)

0 =  \(w^{2} + 8w\) - 153

 \(w^{2} -9w + 17w - 153\)

(w - 9)(w + 17)

w = 9

w = -17

We can't have a negative length, so we only use 9.

w equals 9.

That means l equals 17     (9 + 8 = 17).

Length = 17

Width = 9

#teamtrees #WAP (Water And Plant)

The probability of choosing exactly 13 students who dressed up as the 40s out of the 16 selected students is approx. 0.4334.

We can model this situation as a hypergeometric distribution, where we have a population of 19 students, 15 of whom dressed up as the 40s.

We want to choose a sample of 16 students and find the probability that exactly 13 of them dressed up as the '40s.

The probability of choosing exactly 13 students who dressed up as the 40s can be calculated:

(number of ways to choose 13 students who dressed up as the 40s) * (number of ways to choose 3 students who dressed up as other decades) / (total number of ways to choose 16 students)

The number of ways to choose 13 students who dressed up as the '40s is the number of combinations of 15 choose 13:

(15 choose 13) = 105

The number of ways to choose 3 students who dressed up as other decades is the number of combinations of 4 choose 3, which is:

(4 choose 3) = 4

The total number of ways to choose 16 students from 19 is the number of combinations of 19 choose 16, which is:

(19 choose 16) = 969

105 * 4 / 969 = 0.4334

Therefore, the probability of choosing exactly 13 students who dressed up as the 40s = 0.4334 (rounded to four decimal places)

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Answer:

x = - 4 and y= 45

Step-by-step explanation:

Multiple the first equation with 10

Then, u will get - 5x + 2y = 110

Multiple the second equation with 8

Then, u will get 24x + 2y = - 6

Now, solve those two equations!

you will get the value of x = - 4

Then substitute tgat value in any one of the equation aboved. You will get y = 45

A)The probability of exactly four buses arriving in the next 2 hours is\($P(X=4)=e^{\wedge}(-2)\left(2^{\wedge} 4 / 4 !\right)=0.090$\) ≈ 0.090.

B) The probability of at least two buses arriving in the next 2 hours is =0.865

C)  The probability of no buses arriving in the next 2 hours is =0.135

d) The probability that it will be between 30 and 90 minutes before the next bus arrives is ,0.185

a) Let \($X$\) be the number of buses that arrive in a 2-hour period. Since the time between arrivals of buses follows an exponential distribution with a mean of 60 minutes, the arrival rate λ is given by\($\lambda=1 / 60$\) 0 buses per minute.

Therefore, the number of buses that arrive in a 2-hour period is a Poisson distribution with parameter \(\mu=\lambda t=(1 / 60) \times 120=2$.\). Thus, X has a Poisson distribution with parameter μ = 2.

The probability of exactly four buses arriving in the next 2 hours is\($P(X=4)=e^{\wedge}(-2)\left(2^{\wedge} 4 / 4 !\right)=0.090$\) ≈ 0.090.

b) The probability of at least two buses arriving in the next 2 hours is

\($P(X \geq 2)=1-P(X=0)-P(X=1)=1-e^{\wedge}(-2)\left(2^{\wedge} 0 / 0 !\right)-e^{\wedge}(-2)\left(2^{\wedge} 1 / 1 !\right)=0.865$.\)

c) The probability of no buses arriving in the next 2 hours is

\(P(X=0)=$ $e^{\wedge}(-2)\left(2^{\wedge} 0 / 0 !\right)=0.135$\)

d) Let Y be the time between the first and second bus arrivals. Then Y follows an exponential distribution with a mean of 60 minutes. We want to find the probability that \($30 \leq Y \leq 90$\).

This is equivalent to finding \(P(Y \leq$ $90)-P(Y \leq 30)$,\), which is equal to F(90) - F(30), where F is the cumulative distribution function of the exponential distribution with \($\lambda=1 / 60$\)

Therefore, the probability that it will be between 30 and 90 minutes before the next bus arrives is\(F(90)-F(30)=\left(1-e^{\wedge}(-90 / 60)\right)-(1$ $\left.e^{\wedge}(-30 / 60)\right)=e^{\wedge}(-1.5)-e^{\wedge}(-0.5)=0.185$\)

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answer :

A. y = – 4x + 5

Step-by-step explanation:

make y = 4x-5 equal to each of the answer choices and see if you get an answer

STEPS:

1.

make 4x - y = 5 into a y= equation

4x - y = 5 is  y = 4x-5

2.

then make y = 4x-5 equal to each of the answer choices and see if you get an answer

A.

4x-5 = -4x+5

8x = 10

x = 10/8 = 5/4

yes, it has one solution

its also an intersecting line because

one line has 4x and the other has -4x

4x and -4x are slopes and opposite signs so

the lines are intersecting

B.

4x-5 = 4x-5

since they are the same on both sides of the equal sign they have

infinite solutions

they are also both the same line

C.

2y=8x-10 when simplified is y=4x-5

so its just like choice B

they are also both the same line

4x-5 = 4x-5 which is

0 = 0

since they are the same on both sides of the equal sign

infinite solutions

they are also both the same line

D.

-2y=-8x-10 when simplified is y=4x+5

4x-5 = 4x+5 when you work it out you get the answer

0 = 5

since when you solve the equation and get 0 = 5

that means its there is no solution

its also parallel line because both lines have 4x as a slope

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K-Means uses Euclidean distance. The output includes average and maximum distances, separation, and convergence after iterations related to the number of starting seeds.

In the output of a K-Means cluster analysis, "Ave Distance" refers to the average distance between the data points and their assigned cluster centroids.

"Max Distance" represents the maximum distance between any data point and its assigned centroid. "Separation" indicates the distance between the centroids of different clusters, reflecting how well-separated the clusters are.

Convergence in K-Means clustering refers to the point when the algorithm reaches stability and the cluster assignments no longer change significantly.

When the video mentions convergence after 4 iterations, it means that after four rounds of updating cluster assignments and re-computing centroids, the algorithm has achieved a stable result.

The "Number of starting seeds" option determines how many initial random seeds are used for the algorithm, and it can affect the number of iterations needed for convergence. Increasing the number of starting seeds may result in faster convergence as it explores different initial configurations.

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From the question, we can find the expression for the money Isabella needs to pay, as follows:

Where k is the amount of miles. We know that she paid $14.00, so we can find the amount of miles:

So the taxi drove 39 miles.

Answer:

I. AC = 15 cm

II. h = 7.4 cm

Step-by-step explanation:

I. Determination of AC

AB = 9 cm

BC = 12 cm

AC =?

The length AC can be obtained by using pythagoras theory as illustrated below:

AC² = AB² + BC²

AC² = 9² + 12²

AC² = 81 + 144

AC² = 225

Take the square root of both side

AC = √225

AC = 15 cm

II. Determination of the height.

AB = 9 cm

AD = 5.1 cm

BD = h =?

The height of the triangle can be obtained by using pythagoras theory as illustrated below:

AB² = AD² + BD²

9² = 5.1² + h²

81 = 26.01 + h²

Collect like terms

h² = 81 – 26.01

h² = 54.99

Take the square root of

h = √54.99

h = 7.4 cm

One product/service that is currently in the decline stage is DVD rentals. The decline can be attributed to the rapid rise of digital streaming platforms and the decreasing popularity of physical media. Companies competing in a declining market have strategic options such as harvesting and divesting. Harvesting involves maximizing profits from the declining product/service by reducing costs and maintaining a loyal customer base, while divesting involves exiting the market and reallocating resources to more profitable ventures.

DVD rentals are in the decline stage of the product lifecycle due to several factors. The advent of digital streaming platforms like Netflix, Hulu, and Amazon Prime Video has revolutionized the way people consume media. The convenience and vast content libraries offered by these platforms have led to a significant decline in DVD rentals. Moreover, the proliferation of high-speed internet connections and the increasing availability of streaming devices have made it easier for consumers to access digital content.

In a declining market, companies have strategic options to consider. One option is harvesting, which involves maximizing profits from the declining product/service. Companies can achieve this by reducing costs associated with production, distribution, and marketing, as the demand for the product/service diminishes. They may also focus on retaining their loyal customer base by providing incentives, discounts, or exclusive offers. For example, DVD rental companies may lower rental fees, offer bundle deals, or introduce loyalty programs to retain their remaining customers.

Another strategic option is divesting, which involves exiting the declining market altogether. Companies may choose to reallocate their resources to more profitable ventures or invest in emerging technologies or industries. In the case of DVD rentals, companies could divest by shutting down physical rental stores and selling off their DVD inventory. They could then shift their focus to digital streaming services or invest in other areas with growth potential, such as content production or streaming device manufacturing.

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Answer:

16

Step-by-step explanation:

First term (t₁) = a = 3, Common difference (d) = 8 - 3 = 5 and last term (tₙ) = 78

78 = 3 + (n - 1)5

⇒ 78 = 3 + 5n - 5

⇒ 78 = -2 +5n

⇒ 78 + 2 = 5n

⇒ 80 = 5n

⇒ n = 16

Therefore, 78 is 16th term of A.P: 3, 8, 13, 18...

13) SSS

14) SAS

15) ASA

16) AAS

please mark brainliest!

Answer:

30

Step-by-step explanation:

For this problem she goes to the park every 5 days so, 5,10,15,20,25,30 and so on and she goes to the library every 6 days so, 6,12,18,24,30,36 and so on. 30 is the GCF of both so that is the answer

The matrix must have pivot columns. Otherwise, the equation Ax = 0 would have a free variable, in which case the columns of A would not span R5. Therefore, the correct answer is C.

A pivot column is a column of the matrix that has a non-zero entry in the pivot position and all entries below the pivot are zero. In row echelon form, every row below a pivot column has a zero in the corresponding position. The pivot columns correspond to the linearly independent columns of the original matrix and the number of pivot columns determines the rank of the matrix.

The rank of a matrix is defined as the number of linearly independent columns or rows in the matrix. If the columns of a matrix span Rn, then the rank of the matrix must be equal to n. This means that the matrix must have n linearly independent columns. To ensure that the columns of A span R5, A must have at least 5 pivot columns. If A had fewer pivot columns, then the equation Ax = 0 would have a non-trivial solution, meaning that the columns of A would not be linearly independent and would not span R5.

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Let's say that out of 100 individuals surveyed, 40 have fewer than three children. The probability of an individual in this survey having fewer than three children would be 40/100 or 0.4.

To calculate the probability of an individual in the survey having fewer than three children, we would need to know the total number of individuals surveyed and how many of those individuals have fewer than three children. Let's say that out of 100 individuals surveyed, 40 have fewer than three children. The probability of an individual in this survey having fewer than three children would be 40/100 or 0.4.

To calculate the probability of an individual in the survey having at least one child, we would need to know how many individuals in the survey have no children. Let's say that out of the 100 individuals surveyed, 20 have no children. The probability of an individual in this survey having at least one child would be (100-20)/100 or 0.8.

To calculate the probability of an individual in the survey having five or more children, we would need to know how many individuals in the survey have five or more children. Let's say that out of the 100 individuals surveyed, only 2 have five or more children. The probability of an individual in this survey having five or more children would be 2/100 or 0.02.

To determine the probability of an individual in this survey having fewer than three children, at least one child, or five or more children, you will need specific data or information about the distribution of children per family in the survey. Once you have that information, you can calculate the probabilities by dividing the number of individuals meeting each condition by the total number of individuals in the survey.

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The best summarizes for the result is:

O There is a moderate negative correlation between the variables.

A correlation coefficient measures the strength and direction of the relationship between two variables. The coefficient ranges from -1 to 1, with -1 indicating a perfect negative correlation, 0 indicating no correlation, and 1 indicating a perfect positive correlation.

In this case, the correlation coefficient of -0.524 indicates a moderate negative correlation between the variables. This means that as the value of one variable increases, the value of the other variable decreases, and vice versa. The negative sign indicates that the relationship is negative, and the absolute value of the coefficient (0.524) indicates that the relationship is moderate in strength.

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To formulate this problem as a linear programming problem, we need to identify the decision variables, objective functions, and constraints.

Decision Variables:
Let x be the number of model A printers manufactured per month, and y be the number of model B printers manufactured per month.

Objective Function:
The objective is to maximize monthly profits, which can be expressed as P = 25x + 40y.

Constraints:
1. The total number of printers demanded per month cannot exceed 3000, so we have the constraint x + y ≤ 3000.
2. The company has earmarked not more than $600,000/month for manufacturing costs, so the cost constraint is 120x + 140y ≤ 600,000.
3. The number of printers manufactured must be non-negative, so x ≥ 0 and y ≥ 0.

Therefore, the linear programming problem is:
Maximize P = 25x + 40y
Subject to:
x + y ≤ 3000
120x + 140y ≤ 600,000
x ≥ 0, y ≥ 0

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Answer:

Median = 27.5 Mean = 28.25

Step-by-step explanation:

Answer:

450 litres

Step-by-step explanation:

we know we get 3000 pounds per litres

we also know it takes 20 pounds for 1 litres. hence 3/20 litres per pound

olive oil in one year= 3000*3/20

450 litres

hope it helps

Answer:

15: 1 3 5 15

20: 1 2 4 5 10 20

Step-by-step explanation:

This assumes you are only factoring the coefficients of the expression.  Using this assumption, we simply create a list of factors of the coefficients.

15 -> 1 * 15, 3 * 5 --> 1 3 5 15

20 -> 1 * 20, 2 * 10, 4 * 5 --> 1 2 4 5 10 20

If you don't assume factoring of just the coefficients, then 20x factors

20x:  1 2 4 5 10 20 x

Cheers.

Answer:

b

Step-by-step explanation:

Answer:

x=7/2

Step-by-step explanation:

Answer:

X=7/2

Step-by-step explanation:

Answer:

r² = (9 - 4)² + (6 - 4)² = 5² + 2² = 25 + 4 = 29

So the equation of this circle is

(x - 4)² + (y - 4)² = 29

Where the above conditions are given,  the correct option is: Plan 1 is a better deal for more than 5 cards purchased.

To determine   which pricing plan is a better deal,we need to compare the total cost for a certain number of game cards purchased.

Let's calculate the   total cost for different numbers  of game cards.

For Plan 1  -

- Admission fee  - $5 (fixed)

- Cost per game card  - $1

For Plan 2  -

- Admission fee  - $2.50 (fixed)

- Cost per game card  - $1.50

Now, let's compare the total cost for different numbers of game cards  -

1. If you purchase 1 game card  -

  - Plan 1  - $5 (admission fee) + $1 (cost per game card) = $6

  - Plan 2  - $2.50 (admission fee) + $1.50 (cost per game card) = $4

2. If you purchase 5 game cards  -

  - Plan 1  - $5 (admission fee) + $5 (cost for 5 game cards) = $10

  - Plan 2  - $2.50 (admission fee) + $7.50 (cost for 5 game cards) = $10

3. If you purchase 8 game cards  -

  - Plan 1  - $5 (admission fee) + $8 (cost for 8 game cards) = $13

  - Plan 2  - $2.50 (admission fee) + $12 (cost for 8 game cards) = $14.50

Based on these calculations, we can conclude that  -

- Plan 1 is a better deal for more than 5 cards purchased.

- Plan 2 is a better deal for more than 8 cards purchased.

Therefore, the correct option is  - Plan 1 is a better deal for more than 5 cards purchased.

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