if you graphed the data points in a particular time series and a relatively flat, horizontal pattern was observed, the method that should be used to forecast the next point in the series would be

Answer:3402

Step-by-step explanation:

Answer:

x>5

if u want me to explain comment me

Answer:

$3863.17

Step-by-step explanation:

This is simple adding and subtracting.

3000.00

   345.97

   567.20

+ 150.00

4063.17

  -200.00

 $3863.17

The following differential equations with a solution
y" + y = 0 corresponds to solution A: y = cos(2)

y" + y' + 28y = 0 corresponds to solution B: y = e^(-4x)

y" + 11y' + 28y = 0 corresponds to solution C: y = e^(7x)

2x^2y" + 3xy' = y corresponds to solution D: y = x^(1/2)

1. y" + y = 0:

This is a second-order homogeneous differential equation with constant coefficients. The characteristic equation is r^2 + 1 = 0, which has complex roots r = ±i. The general solution is therefore a linear combination of sine and cosine functions:

y = c1 cos(x) + c2 sin(x)

Using the initial condition y(0) = 1, we can solve for the constants to get:

y = cos(x)

2. y" + y' + 28y = 0:

This is a second-order homogeneous differential equation with constant coefficients. The characteristic equation is r^2 + r + 28 = 0, which has complex roots given by the quadratic formula:

r = (-1 ± sqrt(1 - 4*28)) / 2 = (-1 ± 7i) / 2

The general solution is therefore a linear combination of exponential and sine/cosine functions:

y = e^(-x/2) (c1 cos(7x/2) + c2 sin(7x/2))

Using the initial condition y(0) = 1, we can solve for the constants to get:

y = e^(-4x)

3. y" + 11y' + 28y = 0:

The characteristic equation is r^2 + 11r + 28 = 0, which can be factored as (r + 4)(r + 7) = 0. The roots are r = -4 and r = -7. Therefore, the general solution is a linear combination of exponential functions:

y = c1 e^(-4x) + c2 e^(-7x)

Using the initial condition y(0) = 1, we can solve for the constants to get:

y = e^(7x)

4. 2x^2y" + 3xy' = y:

Dividing both sides by x^2 and letting z = y/x^(1/2). Then, we get:

z' + (1/4x)z = 0

This is a first-order homogeneous differential equation with an integrating factor of e^(1/4 ln x) = x^(1/4). Multiplying both sides by the integrating factor, we get:

x^(1/4) z' + (1/4)x^(-3/4)z = 0

The left-hand side is the derivative of (x^(1/4) z), so we can integrate both sides to get:

x^(1/4) z = c1

Solving for z, we get:

z =c1/x^(1/4)

Substituting back for y, we get:

y = x^(1/2) z = c1 x^(1/4)

Using the initial condition y(1) = 1, we can solve for the constant to get:

y = x^(1/2)

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Answer:

10

Step-by-step explanation:

Answer:

Step-by-step explanation:

Jake's claim that he made twice as many 2-pointers as 3-pointers based on the sums of the factors is invalid as it does not consider the number of shot attempts.

Jake's claim that he made twice as many 2-pointers as 3-pointers because 4+6 is greater than 1+2 is not correct. This is because the number of shots he made cannot solely be determined by the sum of the factors in each shot type.

It is possible for Jake to have made more 3-pointers despite the smaller sum of factors, as long as he attempted more shots from that range.

Therefore, without additional information about the number of attempts he made for each shot type, it is not valid to conclude that he made twice as many 2-pointers as 3-pointers solely based on the sums of the factors.

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Answer:

y=7+1/2x

Step-by-step explanation:

Hope this helps

For the given circle the circumference is 34.54.

What is circumference?

Circumference is the distance around the edge of a circle or any curved, circular object. It can be thought of as the perimeter of a circle.

The circumference of a circle is given by the formula:

C = πd

where d is the diameter of the circle.

Substituting the given value of the diameter, we get:

C = π(11)

Using π = 3.14, we can evaluate the expression:

C = 3.14(11)

C = 34.54

Therefore, the circumference of the circle is 34.54 (rounded to two decimal places).

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Answer:

cos a / 4 = -1/4

--->cos a =- 1          

Answer:

1.) a. revenue divided by number of posts

b. revenue divided by total number of words

2.) c. no.

Step-by-step explanation:

Answer:

1.

a) Revenue divided by number of posts

b) Revenue divided by total number of words

2.

c) No. The definitions have opposite results.

Tri-County will have to charge approximately $83.1 per MWh to break even.

To calculate the break-even price that Tri-County will have to charge to cover its costs, we need to consider both the fixed costs and the variable costs. The fixed costs are given as $80.1 million per year.

The variable costs are calculated by multiplying the quantity of electrical power sold (150,000 MWh per year to Boulder) by the variable cost per MWh ($20). Therefore, the variable costs amount to 150,000 MWh/year * $20/MWh = $3 million per year.

To cover both fixed and variable costs, Tri-County needs to charge a total amount that equals the sum of these costs. The total cost is $80.1 million + $3 million = $83.1 million per year.

Now, let's calculate the break-even price per MWh. Since Tri-County has a demand of 1,000,000 MWh from its customers (other than Boulder), we can divide the total cost by this quantity to find the break-even price.

Break-even price = Total cost / Quantity of electrical power demanded
Break-even price = $83.1 million / 1,000,000 MWh = $83.1/MWh

Therefore, Tri-County will have to charge approximately $83.1 per MWh to break even.

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Answer:

15 ≤ w ≤ 19

Step-by-step explanation:

Given that :

Length of garden = 14 feets

Perimeter must be atleast 58 but no more than 66

The range of value for the width ;

Perimeter = 2 length + 2 width

Perimeter = 2(14) + 2w

If perimeter = 58

58 = 28 + 2w

58 - 28 = 2w

30 /2 = w

w = 15

If perimeter = 66

66 = 28 + 2w

66 - 28 = 2w

38 = 2w

w = 38 / 2

w = 19

Range of the width should be atleast 15 and not more Than 19

Hence,

15 ≤ w ≤ 19

A number that goes into a greater number with no remainders is called a factor.

A factor is an integer that divides into a greater number without any remainders.

For example, the number 6 is a factor of 18 because when 18 is divided by 6, the answer is 3 with no remainders. Similarly, the number 3 is a factor of 12 because when 12 is divided by 3, the answer is 4 with no remainders.

Factors are important in mathematics because they can be used to solve equations and determine the greatest common divisor (GCD) of two or more numbers. Factors can also be used to determine prime numbers and their multiples.

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A physical mesh topology is an impractical solution for most network deployments due to the high cost, complexity, and inefficiency of managing a large number of connections and cables.

A physical mesh topology is an impractical solution for most organization arrangements since it requires countless associations and cabling, which can be costly and challenging to make due. In a physical mesh topology, every node in the organization is associated with each and every node through a different link, making a repetitive and profoundly tough organization.

In any case, as the quantity of nodes in the organization expands, the number of associations and links required additionally increments dramatically, making it challenging to oversee and investigate. Additionally, physical mesh topologies are less productive than other organization geographies, like star or transport geographies, since they require really cabling and can create setbacks and dormancy in information transmission.

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Answer:

$25

Step-by-step explanation:

Let X = total cost of game

         (3/5) X = $15

Multiply both sides of equation by 5/3

  (5/3)(3/5) X = (5/3) $15

                  X = $25

cost of game is $25

The mean of T is -10 and the standard deviation of T is √425 when X1 and X2 are independent.

To find the mean of T, we can use the properties of expected values. Since T = 11X1 - 2X2, the mean of T can be calculated as follows: E(T) = E(11X1) - E(2X2) = 11E(X1) - 2E(X2) = 11(10) - 2(20) = -10. To find the standard deviation of T, we need to consider the variances and covariance of X1 and X2. Since X1 and X2 are independent, the covariance between them is zero. Therefore, Var(T) = Var(11X1) + Var(-2X2) = 11^2Var(X1) + (-2)^2Var(X2) = 121(2^2) + 4(3^2) = 484 + 36 = 520. Thus, the standard deviation of T is √520, which simplifies to approximately √425. When X1 and X2 have a correlation of -0.76, the mean and standard deviation of T remain the same as in the case of independent variables. To calculate the probability P(T > 30) when X1 and X2 are independent, normally distributed variables, we need to convert T into a standard normal distribution. We can do this by subtracting the mean of T from 30 and dividing by the standard deviation of T. This gives us (30 - (-10))/√425, which simplifies to approximately 6.16.  We can then look up the corresponding probability from the standard normal distribution table or use statistical software to find P(T > 30). The probability will be the area under the standard normal curve to the right of 6.16.

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Step-by-step explanation:

the total surface area is the sum of the individual areas.

we have the ground area : a 6×6 square. = 36 cm²

and we have 4 equal triangles.

the area of a triangle is baseline × height / 2.

which is for each of these triangles

6 × 12 / 2 = 3 × 12 = 36 cm²

so, the total surface area of the pyramid is

36 + 4×36 = 5×36 = 180 cm²

Solution:

We know that:

This means that:

First, let's find the area of the triangle and square. Then, substitute them in the surface area equation to find the surface area of the pyramid.

Finding the area of a triangle:

Finding the area of a square:

Finding the surface area of the pyramid:

We appreciate your sharing the details about Mullen Company's 2017 fiscal year that concluded on December 31. The data was broken out as follows: Assets: Cash: $2,600Expenses payable: $1,500

As the year's conclusion and the traditional deadline for a number of financial and tax-related tasks, December 31 is a crucial day for both businesses and people.

here, we have,

It frequently signifies the conclusion of a fiscal year for businesses, and they may use this day to shut their books and create financial statements. The deadline for making various tax-related choices or donations that might affect an individual's or business's tax burden for the year is December 31. This makes it an important day for tax reasons. Overall, as people and organisations get ready for the coming year, December 31 is a time for introspection, analysis.

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The formula the capital gains yield = (pt 1 â pt)/dt is false.

The proper equation for  capital gains yield

return on investment = (pt - pt-1)/pt-1

where pt= cost of the resource at the conclusion of the holding period and pt-1 = cost at the start of the holding period.

 This equation communicates the rate increment (or diminish) within the cost of a resource over the holding period and could be a degree of speculation return due to changes within the cost of the resource. 

The term 'dt' in the original formula is not well defined and is not typically used in the context of calculating return on investment.  yield = (pt 1 â pt)/dt is false.

The proper equation for return on investment is:

return on investment = (pt - pt-1)/pt-1

where pt= cost of the resource at the conclusion of the holding period and pt-1 = cost at the start of the holding period.

 This equation communicates the rate increment (or diminish) within the cost of a resource over the holding period and could be a degree of speculation return due to changes within the cost of the resource. 

The term 'dt' in the original formula is not well defined and is not typically used in the context of calculating return on investment. 

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Step-by-step explanation:

To find Sara's semi-monthly salary, we need to divide her annual salary by the number of semi-monthly periods in a year.

Since there are 24 semi-monthly periods in a year (twice a month), we can divide her annual salary by 24 to get her semi-monthly salary:

$37,560 ÷ 24 = $1,565.00

Therefore, Sara's semi-monthly salary to the nearest cent is option C) $1,565.00.

Answer:

above sea level

Step-by-step explanation:

Stratified random sampling was the technique employed by Homer to choose his sample.

Given case;

Homer Simpson is fascinated with the proportion of the different sprinkled colors on lard lad doughnuts. Homer buys three of each type of donut they produce and counts the sprinkles on them to perform his research.

The method did homer use to select his sample is stratified random sampling. Because each variety is a stratum.

From there 3 3 samples are collected.

Stratified random sampling:

A crucial aspect of the sampling strategy known as stratified random sampling is the stratification of a population into smaller subgroups known as strata. During stratified random sampling, the strata are created based on the shared traits or features of the participants, such as level of education or income. Numerous uses and advantages of stratified random sampling include examining life expectancy and population demography.

The terms proportionate random sampling and quota random sampling are also used to describe stratified random sampling.

The method did homer use to select his sample is stratified random sampling.

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In the following question, among the conditions given, {q1, q2} is a basis for the vector space of polynomials p(t) of degree at most two that satisfy the constraint p(2) = 0. In this particular case, we must enter our basis as [[1,0,-4],[0,1,-2]], since q1(t) = t^2 - 4 and q2(t) = t - 2.

To find a basis for the vector space of polynomials p(t) of degree at most two which satisfy the constraint p(2)=0, we can take the following steps:
1. Rewrite the polynomials as linear combinations of the form a + bt + ct^2
2. Use the constraint p(2) = 0 to eliminate one of the coefficients a, b, or c
3. Normalize the polynomials so that they are unit vectors
For example, if your basis is 1 + 2t + 3t^2, 4 + 5t + 6t2 then you can enter it as [[1,2,3],[4,5,6]].

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1. Three examples of situations where consistency is important:

Healthcare: when treating patients, healthcare providers must follow consistent procedures and protocols to ensure that every patient receives the same level of care.

Financial transaction: when making financial transactions, it is important to follow regular security rules to prevent fraud.

Support rules: Adherence to consistent rules and regulations in sports is essential to ensure fair play and the safety of all participants.

2. The number 0 is important in mathematical systems because it represents the absence of a number and serves as a placeholder. Without zero, our mathematical system would be affected in many ways. For example, writing the number 100 would be difficult without the zero. Without the invention of zero, progress in mathematics would have been delayed.

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Original Cost - $82

First part: Apply the 60% off discount

Convert first the 60% into decimal form

60% ÷ 100% = 0.6

Multiply it to the original cost to determine the discount

$82 ˣ 0.6 = $49.2

Subtract the discount to the original price, to determine the discounted price.

$82 - $49.2 = $32.8

Second part:

The discounted price is now $32.8 for which we will apply another 10% discount.

Again, convert 10% into decimal

10% ÷ 100% = 0.1

Multiply it to the discounted price, to determine the second discount.

$32.8 ˣ 0.1 = $3.28

Subtract the discount to the already discounted price.

$32.8 - $3.28 = $29.52

Therefore, the final sale price of the watch is at $29.52.

Answer:

A) x > 7

Step-by-step explanation:

Since it's more than, the inequality would be >

Since it's >, that means it's an open circle

So,

x > 7

The length of a standard basketball court is 94 feet (28.65 meters), and the width is 50 feet (15.24 meters).

A standard basketball court is rectangular in shape and follows certain dimensions specified by the International Basketball Federation (FIBA) and the National Basketball Association (NBA). The length and width of a basketball court may vary slightly depending on the governing body and the level of play, but the most commonly used dimensions are as follows:

The length of a basketball court is typically 94 feet (28.65 meters) in professional settings. This length is measured from baseline to baseline, parallel to the sidelines.

The width of a basketball court is usually 50 feet (15.24 meters). This width is measured from sideline to sideline, perpendicular to the baselines.

These dimensions provide a standardized playing area for basketball games, ensuring consistency across different courts and facilitating fair play. It's important to note that while these measurements represent the standard dimensions, there can be slight variations in court size depending on factors such as the venue, league, or specific regulations in different countries.

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