Find the perimeter of the following, d=8.4 m use 3.14

The question was incomplete. Below you will find the missing content.

In the figure below, BL, AM, and CK are medians of △ABC. If KC = 108 and OC = 2n + 10, then n=

The picture is attached below.

The value of n is 31.

The median is the line connecting the vertex and its midpoint on the opposite side of the triangle.

The intersection of all 3 medians of the triangle is called the centroid.

As we know centroid divides the median in the ratio of 2:1.

In the given picture,

Medians of triangle △ABC are AM, BL, and CK.

So the centroid of the triangle is O.

Given that KC= 108

As the centroid O divides the line KC in 2:1.

Let OC=2x

KO= X

As KC= KO+OC

⇒ 108= x+2x

⇒ 3x=108

⇒ x=108/3

⇒ x=36

Then OC= 2x= 2*36= 72

As given in the question OC= 2n+10

putting the value of OC in above equation

⇒ 72= 2n+10

⇒ 2n= 72-10

⇒ 2n=62

⇒ n=62/2

⇒n=31

Therefore the value of n is 31.

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Answer:

y = -5/3x + 2

Step-by-step explanation:

I am not exactly sure what your question is, but to find the equation of the line, you can plug in the x and y coordinates to the template which is y=mx+b. Since you already have the slop (m) you just need to find b which you can do by setting up the equation: 2 = -5/3*0 + b, and solving for b. This gives you a value of 2 for b. So your final equation would be y = -5/3 + 2.

Answer:

$56

Step-by-step explanation:

The computation of the amount that sandra would received as a refund is as follows:

= Amount paid in federal withholding tax - minimum tax paid

= $6,000 - $5,944

= $56

The amount left after deducting the minimum tax paid from the amount paid is the refund amount

hence, the last option is correct

correct answer is ASA ANGLE SIDE ANGLE

The number of subscribers with land-line phones for any year after 2000, taking into account the 27% annual decline rate.

According to the given information, land-line phones are decreasing at a rate of 27% each year since 2000. This means that each year, the number of subscribers with land-line phones is reduced to 73% (100% - 27%) of the previous year's value.

To create a formula that models this scenario, we start with the initial number of subscribers in the year 2000, which is given as 10,000. We can express this as y(0) = 10,000, where y(0) represents the number of subscribers in the starting year (t = 0).

Based on the decline rate of 27% per year, we can express the relationship between the number of subscribers in a given year (y) and the number of subscribers in the previous year (y-1) as follows:

y = 0.73 * y(t-1)

Here, 0.73 represents the probability of retaining a land-line phone subscription from one year to the next, given the 27% annual decline rate. Multiplying this probability by the number of subscribers in the previous year gives us the estimated number of subscribers in the current year.

By iterating this formula year after year, we can estimate the number of subscribers with land-line phones for any given year after 2000.

For example, let's calculate the number of subscribers in the year 2023, which is 23 years after 2000 (t = 23). Using the formula, we can substitute t = 23 into the equation:

y(23) = 0.73 * y(22)

To find y(22), we substitute t = 22 into the equation:

y(22) = 0.73 * y(21)

We continue this process until we reach the starting year, y(0) = 10,000.

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Complete Question:

With the growing popularity of cell phones, a local phone company had a sharp decline in the number of customers with land-line phones in their homes. Suppose land-line phones are decreasing at a rate of 27% each year since 2000. Assume that there were 10,000 subscribers with land-line phones in the year 2000.

For convenience let t = the number of years after 2000 and y = number of subscribers with land-line phones.

A formula that models this scenario is

The value of G, correct to three significant figures and in standard form, is\(4.59 \times 10^-^1\).

To work out the value of G using the given formula G = √(m/t^2), we need to substitute the given values for m and t.

Given:

m = 5.4 x 10^-5

t = 1.6 x 10^-2

Substituting the values into the formula:

\(G = \sqrt(5.4 \times10^-^5 / (1.6 \times10^-^2)^2)\)

First, we need to square the value of t:

\(t^2 = (1.6 \times10^-2)^2 = 2.56 \times 10^-^4\)

Next, we divide m by t^2:

m / t^2 = 5.4 x 10^-5 / 2.56 x 10^-4 = 0.2109375

Finally, we take the square root to find G:

G = √0.2109375 = 0.459

Rounding the answer to three significant figures, the value of G is approximately 0.459.

In standard form, this is 4.59 x 10^-1.

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To solve the system of equations:

2x + 3y = 1 ...(1)

5x - 2y = 8 ...(2)

We can use the method of elimination or substitution to find the solution. Here, we will use the method of elimination.

Multiplying equation (1) by 5 and equation (2) by 2 to eliminate the y term:

10x + 15y = 5 ...(3)

10x - 4y = 16 ...(4)

Now, subtract equation (4) from equation (3):

(10x + 15y) - (10x - 4y) = 5 - 16

10x + 15y - 10x + 4y = -11

19y = -11

y = -11/19

Substituting the value of y back into equation (1):

2x + 3(-11/19) = 1

2x - 33/19 = 1

2x = 1 + 33/19

2x = 19/19 + 33/19

2x = 52/19

x = (52/19) / 2

x = 52/38

x = 26/19

Therefore, the solution to the system of equations is (x, y) = (26/19, -11/19).

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Answer36:

Step-by-step explanation:

Answer:

Gavin has 3 parts left.

Step-by-step explanation:

8-3-2=3. The time was not important.

Answers in bold:

S9 = 2

i = 20

R = -2

=====================================================

Explanation:

\(S_0 = 20\) is the initial term because your teacher mentioned \(A_0 = I\) as the initial term.

Then R = -2 is the common difference because we subtract 2 from each term to get the next term. In other words, we add -2 to each term to get the next term.

Here is the scratch work for computing terms S1 through S4.

\(\begin{array}{|l|l|}\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{1} = S_{1-1} - 2 & S_{2} = S_{2-1} - 2\\S_{1} = S_{0} - 2 & S_{2} = S_{1} - 2\\S_{1} = 20 - 2 & S_{2} = 18 - 2\\S_{1} = 18 & S_{2} = 16\\\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{3} = S_{3-1} - 2 & S_{4} = S_{4-1} - 2\\S_{3} = S_{2} - 2 & S_{4} = S_{3} - 2\\S_{3} = 16 - 2 & S_{4} = 14 - 2\\S_{3} = 14 & S_{4} = 12\\\cline{1-2}\end{array}\)

Then here is S5 though S8

\(\begin{array}{|l|l|}\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{5} = S_{5-1} - 2 & S_{6} = S_{6-1} - 2\\S_{5} = S_{4} - 2 & S_{6} = S_{5} - 2\\S_{5} = 12 - 2 & S_{6} = 10 - 2\\S_{5} = 10 & S_{6} = 8\\\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{7} = S_{7-1} - 2 & S_{8} = S_{8-1} - 2\\S_{7} = S_{6} - 2 & S_{8} = S_{7} - 2\\S_{7} = 8 - 2 & S_{8} = 6 - 2\\S_{7} = 6 & S_{8} = 4\\\cline{1-2}\end{array}\)

And finally we arrive at S9.

\(S_{n} = S_{n-1} - 2\\\\S_{9} = S_{9-1} - 2\\\\S_{9} = S_{8} - 2\\\\S_{9} = 4 - 2\\\\S_{9} = 2\\\\\)

--------------------

Because we have an arithmetic sequence, there is a shortcut.

\(a_n\) represents the nth term

S9 refers to the 10th term because we started at index 0. So we plug n = 10 into the arithmetic sequence formula below.

\(a_n = a_1 + d(n-1)\\\\a_n = 20 + (-2)(n-1)\\\\a_n = 20 - 2(n-1)\\\\a_{10} = 20 - 2(10-1)\\\\a_{10} = 20 - 2(9)\\\\a_{10} = 20 - 18\\\\a_{10} = 2\\\\\)

In other words, we start with 20 and subtract off 9 copies of 2 to arrive at 20-2*9 = 20-18 = 2, which helps see a faster way why \(S_9 = 2\)

The total cost in dollars for two days for the n members of the science club is given by the expression 182n, where n represents the number of members in the club.

To calculate the total cost in dollars for two days for the n members of the science club, we need to add the costs of transportation and tickets for both days.

On the first day, the cost per member was $15 for the planetarium ticket plus $70 for transportation, so the total cost per member was 15 + 70 = $85.

On the second day, the cost per member was $12 for the geology museum ticket plus $85 for transportation, so the total cost per member was 12 + 85 = $97.

Therefore, the expression to represent the total cost in dollars for two days for the n members of the club is:

Total cost = (85 + 97) * n

This can also be simplified as:

Total cost = 182n

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The solution for the system of equations is (-19,55).

As given the equations in the question

y = –3x – 2

Simplify the above

y + 3x = -2

5x + 2y = 15

Multiply y + 3x = -2 by 2 and subtracted from 5x + 2y = 15.

2y - 2y + 5x -6x = 15 + 4

-x = 19

x = -19

Putting the value of x in the equation y + 3x = -2.

y + 3 × - 19 = -2

y - 57 = -2

y = -2 + 57

y = 55

Therefore the solution for a system of equations is (-19,55).

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The random variable x, which represents the amount of rain (in inches) that fell this spring, is a continuous random variable.

In this context, a continuous random variable is one that can take on any value within a certain range. The amount of rain can be measured with different levels of precision, such as 2.5 inches or 2.5342 inches, indicating that there is an infinite number of possible values between any two given points.

On the other hand, a discrete random variable would involve countable outcomes or a finite number of possible values. For example, if we were counting the number of rainy days during the spring, the random variable would be discrete since it can only take whole number values.

In the case of measuring the amount of rain, there can be infinitely many possible values within any given range, and therefore, it is considered a continuous random variable. So, the correct answer is option A.

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The complete question is:

Decide whether the random variable x is discrete or continuous. Explain your reasoning Let x represent the amount of rain (in inches) that fell this spring. Is the random variable x discrete or continuous? Choose the correct answer below.

A. Continuous, because x is a random variable that cannot be counted.

B. Discrete, because x is a random variable that can be counted.

Answer:

Just follow the arrow or see answer in each box

Step-by-step explanation:

Answer:

6 and 30

Step-by-step explanation:

n + 24

(n + 24) ÷ n = 5

n + 24 = 5n

24 = 4n

6 = n

Check

30 – 6 = 24

30 ÷ 6 = 5

Answer:

240 N

Step-by-step explanation:

Resistance force (A) varies directly with the square of the speed (S).

A = k S²

At a certain speed (S = s), the resistance is A = 60.

60 = k s²

k = 60 / s²

At double the speed, (S = 2s), the resistance is:

A = k (2s)²

A = (60 / s²) (2s)²

A = (60 / s²) (4s²)

A = 240

Answer: n2+7n+15−5=5−5

n2+7n+10=0

Step 2: Factor left side of equation.

(n+2)(n+5)=0

Step 3: Set factors equal to 0.

n+2=0 or n+5=0

n=−2 or n=−5

Answer:

n=−2 or n=−5

Step-by-step explanation: hope that helps

Answer:

sin(30°) = 0.5

sin(30°) is exactly: 1/2

Note: angle unit is set to degrees.

Step-by-step explanation:

There were 682 children's and 332 adults were admitted when the entrance charge to an park is $4 for adults and $1.50 for children.

Given that,

The entrance charge to an amusement park is $4 for adults and $1.50 for children. 351 persons visited the park on one particular day, and 1014 dollars in entrance fees were collected.

We have to find how many people and kids were allowed inside.

We know that,

We get equations as,

1.5x+4y=351 ----->equation(1)

The other equation is

x+y=1014 ----->equation(2)

Take the equation(2)

x+y=1014

y=1014-x

Substitute y=1014-x in equation(1)

1.5x+4y=351

1.5x+4(1014-x)=351

1.5x+2056-4x=351

1.5x-4x=351-2056

-2.5x=-1705

2.5x=1705

x=1705/2.5

x=682

Substitute x=682 in equation(2)

y=1014-x

y=1014-682

y=332

Therefore, There were 682 children's and 332 adults were admitted when the entrance charge to an amusement park is $4 for adults and $1.50 for children.

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Therefore, the open box with the largest volume has a length  of \(20” - 2(4”) = 12”\), and a height of 4”. The volume of the resulting box is 0 x 12 x 4 = 0 cubic inches.

The resulting box with the largest volume can be created by cutting out 4 squares with the same dimensions from each corner of the 8-inch by 20-inch cardboard. After cutting the squares, the sides can be bent up to form an open box. The dimensions of the box with the largest volume can be calculated using the formula for the volume of a rectangular prism, \(V = L x W x H.\)

In this case, L = 8” - 2x, W = 20” - 2x, and H = x, where x is the length of each side of the square cut from each corner. The volume of the resulting box will be maximized when x is the greatest value that still produces a box with the given dimensions. Solving the equation, 8” - 2x = x, yields x = 4”.

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Answer:7

Step-by-step explanation:

5+2=7

Answer:

The first group needs 8 boats, the second needs 6

Step-by-step explanation:

1: x = 8, divide both sides of the equal sign by 5 and you get x = 7.2

2: 8, 5 goes into 36 7 times evenly with a single person remaining and they would need the 8th boat

3: 4x = 24, divide both sides of the equal sign by 4 and you get x = 6

4: the first group

Addition of more points change the pattern on the plot

There is another linear association on the scatterplot

From the question, we have the following parameters that can be used in our computation:

The scatterplot

When more points are added to the plot, the points may tend to change the relation on the scatterplot

Yes, there is.

This is represented by the set of points that form the negative linear relation

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Answer:

T = 1.5s

Step-by-step explanation:

Hello,

To find the time the pincone hits the ground, we need to use the equation given.

Note that h = 0 when the pinecones hits the ground.

This question relates to motion under gravity.

h = -16t² + 36

0 = -16t² + 36

Make t² the subject of formula

16t² = 36

t² = 36 / 16

t² = 2.25

Take the square root of both sides

t = √(2.25)

t = 1.5s

The time it takes the pinecone to hit the ground is 1.5s.

Answer:

B

Step-by-step explanation:

According to Order of Operations, you always do exponents first

Answer:

7x - 4

Step-by-step explanation:

2x + 4 + 5x - 8

7x + 4 - 8

7x - 4

Answer:

C. 9

Step-by-step explanation:

When dividing exponents with the same base, always subtract the top from the bottom, which in this case would be 9-5=4

The equation is an exponential equation, and the value of n in the equation is 9

The equation is given as:

\(\frac{12^n}{12^5} = 12^4\)

Apply the law of indices, to the equation

\(12^{n-5} = 12^4\)

Cancel out the common base in the equation

n - 5 = 4

Add 5 to both sides

n = 9

Hence, the value of n in the equation is 9

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A4 = [1 32/27 32/27 81]. To compute A4, we first need to find A. From the given equation A = PDP-1, we can substitute the values of P and D to get:

A = [1 2 2 3] [1 0 0 3]^-1

To find the inverse of D, we can simply take the reciprocal of each non-zero element on the main diagonal. In this case, the inverse of D is:

D^-1 = [1 0 0 1/3]

Substituting this value into the equation for A, we get:

A = [1 2 2 3] [1 0 0 1/3]
 = [1 2/3 2/3 3]

Now that we have A, we can easily compute A4 by raising A to the fourth power. That is:

A4 = A x A x A x A
  = [1 2/3 2/3 3] x [1 2/3 2/3 3] x [1 2/3 2/3 3] x [1 2/3 2/3 3]
  = [1 32/27 32/27 81]

Therefore, A4 = [1 32/27 32/27 81].

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