If you simplify 4.5 − x − 3.6 + 2x, your answer will be __________.

Holt linear exponential smoothing or  Holt-Winters exponential smoothing technique is best for data with a trend but no seasonality.

For trend but nonseasonal data, Holt linear exponential smoothing (aka double exponential smoothing) or Holt-Winters exponential smoothing (aka triple exponential smoothing) can be used to compare single exponential smoothing or Exponential smoothing is better than post-winter smoothing.

Holt's linear exponential smoothing method uses his two smoothing factors:

One for the level of the series and one for the trend. Suitable when data show a linear trend.

Holt-Winter exponential smoothing adds his third seasonal smoothing factor to Holt's linear exponential smoothing method. Appropriate when the data show trends over time and exhibit seasonal patterns. Therefore, Holt's linear exponential smoothing method is best when the data show a linear trend. Holt-Winters exponential smoothing is more appropriate when trends are more complex and there is evidence of seasonality.

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Answer:

1. 5/3 is not equal to 3/5.

2. 7-(4+3) is equal to (4+3)-7

3. (x + y) + 1 is equal to x + (y + 1)

Step-by-step explanation:

1. 5/3 and 3/5 are completely different fractions and when you switch the denominator and the numerator you get a different fraction: 5/3 = 1 2/3, 3/5

2. If you solve both of them, they are equal because 7-7 = 7-7

3. This is equal due to the associative addition property, which means that when the addition of three or more numbers, the total/sum will be the same, even when the grouping of addends are changed.

Plz mark brainliest thx

#1

\(\boxed{\dfrac{a}{b}=\dfrac{b}{a},a=b}\)

Here 5\(\neq 3\)

Hence inequality holds

#2

\(\\ \sf\longmapsto 7-(4+3)=(4+3)-7\)

\(\\ \sf\longmapsto 7-7=7-7\)

\(\\ \sf\longmapsto 0=0\)

Equality holds

#3

\(\\ \sf\longmapsto (x+y)+1=x+(y+1)\)

Equality holds

Done

\(\\ \sf\longmapsto y=\dfrac{2}{7}x+\dfrac{1}{3}\)

Compare to slope intercept form of a line

\(\\ \sf\longmapsto y=mx+b\)

Answer:

9:13

Step-by-step explanation:

36:52

divide both by two

18:26

divide both by 2

9:13

Answer: Therefore, the GCF of 50 and 75 is 5.

Step-by-step explanation:

To find the greatest common factor (GCF) of 50 and 75, we can compare their factors.

Factors of 50: 1, 2, 5, 10, 25, 50

Factors of 75: 1, 3, 5, 15, 25, 75

By comparing the common factors between 50 and 75, we can see that the GCF is 5, as it is the largest number that divides both 50 and 75 without leaving a remainder.

Answer: 25

Step-by-step explanation:

explanation:

Answer:

s = 47

Step-by-step explanation:

The measure of the exterior angle of a triangle is equal to the sum of the opposite interior angles

s+45 = s+6  + s-8

Combine like terms

s+45 = 2s-2

Subtract s from each side

s+45-s =2s-2-s

45 =s-2

Add 2 to each side

45+2 = s-2+2

47 =s

Lets solve this question,

Assume the number of guests= \(x\)

Pans of Lasanga= \(y\)

\( = > y = kx + b\)

Now the two equations,

\({3 = 10k + b} \: And \: 6 = 20k + b\)

In both equations,

\(k = \frac{3}{10} \\ b = 0\)

Now,

\(y = \frac{3}{10}x\)

\(Given \: x = 250\)

\( = > y = \frac{3}{10} \times 250\)

\( = > y = 75\)

Therefore, 75 pans of lasanga has to be prepared for 250 guests.

~ Benjemin360

The number of pans of lasagna should be prepared for 250 guests is 75.

From the given table, we have (10, 3), (20, 6), (30, 9) and (40, 12).

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Here, slope (m) \(=\frac{(6-3)}{(20-10)}\)

\(=\frac{3}{10}\)

Substitute, (x, y)=(10, 3) and \(m=\frac{3}{10}\) in y=mx+c, we get

\(3=\frac{3}{10} \times 10+c\)

c=0

Substitute, c=0 and \(m=\frac{3}{10}\) in y=mx+c, we get

\(y=\frac{3}{10}x\)

Number of guests = 250

Here, x=250

Substitute x=250 in \(y=\frac{3}{10}x\), we get

y=75

Therefore, the number of pans of lasagna should be prepared for 250 guests is 75.

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The Wilcoxon signed-rank test is employed to see if there is a substantial difference between two related samples. Here the new cognitive therapy group and placebo group are related samples as they both belong to the same sample of cognitive therapy's study. The Wilcoxon signed-rank test is performed on the rank-based data as the data is not normally distributed. Following is the calculation for Wilcoxon’s signed rank test:The null hypothesis for the Wilcoxon signed-rank test is that there is no difference between the new cognitive therapy and placebo treatments. While the alternative hypothesis is that there is a difference between the two treatments.

The Wilcoxon signed-rank test is performed as follows:
Rank all the data, with the lowest value being ranked 1 and the highest value being ranked 12.
Calculate the difference between the new cognitive therapy and placebo group scores.
Take the absolute values of the differences.
Rank the differences in ascending order and ignore the signs.
Calculate the sum of the ranks of the new cognitive therapy group.
Calculate the test statistic T.
For this dataset, the calculations of the Wilcoxon signed-rank test are as follows:
Data Ranked (New therapy) Difference Absolute Difference Ranked Differences + Rank Therapy Differences - Rank Placebo 5 1 4 3 4 4 6 2 4 4 2 2 4 4 8 7 1 1 1 12 10 2 2 3 5 1 6 13 12 1 8 7 7 4 4 1 5 5 5 1 14 13 1 2 1 15 7 8 7 7 5 9 10 3 5 8 56 12 44 12 12 11 7 Total 49
Calculating T:

\($$T =\) \(\frac{Total\ of\ positive\ ranks - \frac{n(n+1)}{4}}{\sqrt{\frac{n(n+1)(2n+1)}{24}}}$$\)

Here, n is the number of pairs, which is 12.
T = 3.52
Using the Wilcoxon signed-rank test table, the critical value at the 0.05 level for n = 12 is 18.
Since T (3.52) is less than the critical value (18), the null hypothesis cannot be rejected.
There is no evidence to suggest that there is a difference between the new cognitive therapy and placebo treatments.

Answer:

SAS means the share a common side then an angel then another side SSS means all of the sides are equal

The given sequence is 9, 16, 24, 33. To find the next number, let's look for a pattern in the differences between the terms.

The difference between 16 and 9 is 7, between 24 and 16 is 8, and between 33 and 24 is 9.

The pattern in the differences is that they are increasing by 1 each time. So, the next difference would be 10.

To find the next number, we add the next difference to the last term in the sequence. Adding 10 to 33 gives us 43.

Therefore, the next number in the sequence is 43.

To find the next number in the given sequence, we looked for a pattern in the differences between the terms. We observed that the differences were increasing by 1 each time. Using this pattern, we added the next difference to the last term in the sequence to find the next number.

The next number in the sequence 9, 16, 24, 33 is 43.

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Using Arithmetic progression, There were 4,13,22,31 pupils chosen out of the applicants.

The professor desires to choose four students at random.

A sequence of the form a, a + d, a + 2d, a + 3d, a + 4d, etc. is an arithmetic sequence. The common difference of the sequence is d, and the number an is the first term. An arithmetic sequence's nth term is determined by the formula a = a + (n - 1)d.

The fourth student was chosen at random, followed by every ninth student.

The fourth student is chosen first.

Using the following term formula, which is

=>a + d(n-1) (n-1)

The second student is the one after that.

=>4 + 9(2-1) (2-1)

=>4 + 9(1) (1)

=>4 + 9

=> 13

The third pupil will be

=>4 + 9(3-1) (3-1)

=>4 + 9(2) (2)

=>4 + 18

=> 22

The fourth pupil will be

=>4 + 9(4-1) (4-1)

=>4 + 9(3) (3)

=> 4+ 27

=> 31

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Answer:

3

Step-by-step explanation:

all sides are equal in a rhombus.

therefore,

\(4x - 5 = 7x - 14\)

\(14 - 5 = 7x - 4x\)

\(9 = 3x\)

\(x = 3\)

Answer:

y = 0.75x + 1

Step-by-step explanation:

Here, we want to write an equation in slope-intercept form to represent this information

Since $1 is the cost of 1 only, this represents our y intercept

It means if we are not interested in purchasing more than 1, our cost will be $1

Now, for each one bought after, we have a rate of $0.75 per one

Mathematically, that will be $0.75 times the number bought after

Hence. we have that;

y = 0.75x + 1

if 1, x = 0; so we have cost of 1 as $1

The volume common to two spheres, each with radius r, if the distance between their centres is r/2 is V = (11/12)×π×r³.

The attached diagram shows 2 circumferences with radius r and separated centres by r/2.

Let´s call circumferences  1 and 2; by symmetry, rotating area A will produce a volume V₁ identical to a V₂, Obtained by rotating area B ( both around the x-axis), then the whole volume V will be:

V = 2× V₁

V₁ = ∫π×y²×dx         (1)

Now

( x - r/2)²  +  y² = r²       the equation of circumference 1

y² = r² - ( x - r/2)²

Plugging this value in equation (1)

V₁ = ∫π×[  r² - ( x - r/2)²]×dx        with integrations limits    0 ≤ x ≤ r/2

V₁ = π×∫ ( r² - x² + (r/2)² - r×x )×dx

V₁ = π× [  r²×x - x³/3 + (r/2)²×x - (1/2) × r × x²]    evaluate between 0 and r/2

V₁ = π× [(5/4)×r²×x - x³/3 - (1/2) × r × x²]

V₁ =  π× [(5/4)×r² × ( r/2 - 0 ) - (1/3)×(r/2)³ -  (1/2) × r × (r/2)²]

V₁ =  π× [ (5/8)×r³ - r³/24 - r³/8]

V₁ =  π× (11/24)×r³

Then

V = 2× V₁

V = 2×π×11/24)×r³

V = (11/12)×π×r³

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Hii!

____________________________________________________________

\(\rightsquigarrow\circ\boldsymbol{Answer}\circ\leftharpoonup\)

2k(1+5a) or 2k(5a+1)

\(\rightsquigarrow\circ\boldsymbol{Explanation.}\circ\leftharpoonup\)

First of all, let's find the common term of this binomial (an expression with two terms; the prefix bi- means "two")

Note that both terms have 2k in them. So, we factor it out.

\(\twoheadrightarrow\sf 2k\div2k+10ak\div2k\)

\(\bullet\) Simplify

\(\twoheadrightarrow\sf 1+5a\)

\(\bullet\) 2k can't just vanish into thin air, so we put it outside the parentheses:

\(\twoheadrightarrow\sf 2k(1+5a)\)

\(\bullet\) Great job! We factored the expression successfully

--

Hope that this helped! Best wishes.

\(\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}\)

--

you have factored out 2k from both terms, leaving you with 2k(1 + 5a). This is the factored form of the expression 2k + 10ak.

To factor the expression 2k + 10ak, you want to find the greatest common factor (GCF) of the terms in the expression. The GCF is the largest expression that can be factored out of all the terms.

In this case, the GCF of 2k and 10ak is 2k because both terms have a factor of 2k:

2k + 10ak = 2k(1 + 5a)

By factoring out the GCF, you are essentially dividing each term by 2k:

1. 2k divided by 2k is 1.

2. 10ak divided by 2k is 5a.

So, you have factored out 2k from both terms, leaving you with 2k(1 + 5a). This is the factored form of the expression 2k + 10ak.

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The probability that 4 randomly selected pizzas are all smaller than 9.5 inches is approximately 0.284, or 28.4%.

To solve this problem, we first need to standardize the variable using the formula:
z = (x - μ) / σ
where:
x = 9.5 inches (the cutoff for being considered "smaller")
μ = 9 inches (the mean)
σ = 0.8 inches (the standard deviation)
z = (9.5 - 9) / 0.8 = 0.625
Next, we need to find the probability that a randomly selected pizza is smaller than 9.5 inches using a standard normal distribution table or calculator.

This probability can be denoted as P(Z < 0.625), where Z is a standard normal random variable.
The probability that all 4 randomly selected pizzas are smaller than 9.5 inches, we will raise the probability to the power of 4:

Probability = 0.734 ≈ 0.291 So, the probability that 4 randomly selected pizzas are smaller than 9.5 inches is approximately 0.291 or 29.1%.
Using a standard normal distribution table or calculator, we can find that P(Z < 0.625) is approximately 0.734.

This means that the probability of a randomly selected pizza being smaller than 9.5 inches is 0.734.
To find the probability that 4 randomly selected pizzas are all smaller than 9.5 inches, we need to multiply this probability by itself four times, since the selection of each pizza is independent of the others.

This gives:
P(4 pizzas smaller than 9.5 inches) = 0.734 = 0.284
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The probability that 4 randomly selected pizzas are all smaller than 9.5 inches is approximately 0.284, or 28.4%.

To solve this problem, we first need to standardize the variable using the formula:

z = (x - μ) / σ

where:

x = 9.5 inches (the cutoff for being considered "smaller")

μ = 9 inches (the mean)

σ = 0.8 inches (the standard deviation)

z = (9.5 - 9) / 0.8 = 0.625

Next, we need to find the probability that a randomly selected pizza is smaller than 9.5 inches using a standard normal distribution table or calculator.

This probability can be denoted as P(Z < 0.625), where Z is a standard normal random variable.

The probability that all 4 randomly selected pizzas are smaller than 9.5 inches, we will raise the probability to the power of 4:

Probability = 0.734 ≈ 0.291

So, the probability that 4 randomly selected pizzas are smaller than 9.5 inches is approximately 0.291 or 29.1%.

Using a standard normal distribution table or calculator, we can find that P(Z < 0.625) is approximately 0.734.

This means that the probability of a randomly selected pizza being smaller than 9.5 inches is 0.734.

To find the probability that 4 randomly selected pizzas are all smaller than 9.5 inches, we need to multiply this probability by itself four times, since the selection of each pizza is independent of the others.

This gives:

P(4 pizzas smaller than 9.5 inches) = 0.734 = 0.284

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Young people respond more favorably to literature that reflects their cultural customs, and this is because of the importance of cultural background in children’s reading development. Ethnic and cultural differences play an essential role in the children's reading development.

Children's cultural and ethnic background has a considerable impact on their learning, and thus the type of literature they respond to. Children tend to read more when they find that the stories and books reflect their cultural customs and identity. This enhances their literacy and reading skills, which in turn leads to an increased interest in reading and a better understanding of what they are reading.

Cultural diversity can help children become more empathetic and accepting of differences, and can help them to learn about new cultures. Therefore, it is crucial to provide children with access to a range of culturally diverse literature to help them understand the experiences of others. Children learn more effectively when they can make connections between what they are learning and their own experiences.

In conclusion, children's reading development is influenced by their ethnic and cultural background. Young people respond more favorably to literature that reflects their cultural customs, which can help them to become more empathetic and accepting of differences, as well as develop their literacy and reading skills. Therefore, it is essential to provide children with a range of culturally diverse literature to help them learn about new cultures and understand the experiences of others.

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By adding all the money she spend we get $0.69

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that Dee spends $0.25, $0.30, $0.10 and $0.04.

We need to find the money she spend in all.

Therefore, we have to add all the expenditure

0.25 + 0.30 + 0.10 + 0.04 = 0.69

The total money she spend could be 0.69.

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Answer:

What is the question? It is incomplete

Step-by-step explanation:

Please mark as brainliest !!!!!

pppppllllllllllssssssss

Answer:

heres ur answer x=2

heres what i used to solve it PEMDAS

a firm in a purely competitive industry is currently producing 1,000 units per day at a total cost of $700 then average total cost is $ 0.61

The average total cost is calculated as the total cost divided by the number of outputs. The firm's ATC at these three levels of production will be:

1. 1,000 units per day at a total cost of $700.

ATC = Total cost/output

ATC = $700/1000

ATC = $0.58

2. If the firm produced 500 units per day, its total cost would be $450.

ATC = Total cost/output

ATC = $450/500

ATC = $0.45

3. If it produced 700 units per day, its total cost would be $425.

ATC = Total cost/output

ATC = $425/700

ATC = $0.61

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Answer:

The answer is A

Negative 21 divided by negative 1.4

Step-by-step explanation:

Answer:

A its probably wrong but tell me if is

Step-by-step explanation:

The correct answer is 500 yards. The largest area for the field will be when the cube is a forecourt. With 2000 yds. of fencing, each side would be 2000/4 =  500 yds.

Long, or 500 yds.  If there were no swash also, the largest area would be given by a square configuration since adding the length and dwindling the range of a square by the same value, t will drop the area by a square with sides of length.  Now add the swash on one side. The swash acts like a glass.

As we guard in a cube on one side of the swash, imagine an identical cube on the other side. The maximum area is given when the two blocks form a square, that's when we have a cube doubly as long as wide.

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The value of the largest area of the field will be 5000 sq. ft.

From the given data,

Total pasture area of fencing =2,000 feet

The shape of the field =rectangular

As the area of the rectangle = l*b

So, we can write it as;

2000=x+2y, (As the area of surrounded by a river from one side, so we need to only fence twice of width and only one length (Side) of the rectangle.

Now applying the formula of the area of the rectangle

we will get it as:

\($$\begin{aligned}& A(x)=x\left(\frac{2000-x}{2}\right)=\frac{1}{2}\left[2000 x-x^2\right] \\& A^{\prime}(x)=\frac{1}{2}[2000-2 x]=0 \\\end{aligned}$$\)

Solving the value,

We will get: x=100 ft y=50 ft

So, determining the value of the largest area,

We will get it as:

A_{max}=(100)(50)=5000 Sq. ft.

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There were 13 small boxes shipped and 6 large boxes shipped.

Let's denote the number of small boxes as 's' and the number of large boxes as 'l'.

According to the given information, the volume of each small box is 6 cubic feet, so the total volume of all small boxes can be calculated as 6s cubic feet.

Similarly, the volume of each large box is 13 cubic feet, so the total volume of all large boxes can be calculated as 13l cubic feet.

We are also given that the combined volume of all the boxes is 156 cubic feet, so we can write the equation:

6s + 13l = 156 ...(1)

Additionally, we know that a total of 19 boxes were shipped, so we can write another equation:

s + l = 19 ...(2)

Now, we have a system of equations (equation 1 and equation 2) that we can solve simultaneously to find the values of 's' and 'l'.

To solve this system of equations, we can use substitution or elimination method. Let's use the substitution method here.

From equation 2, we can rewrite it as s = 19 - l.

Substituting this value of s into equation 1, we get:

6(19 - l) + 13l = 156

Simplifying the equation:

114 - 6l + 13l = 156

Combining like terms:

7l = 42

Dividing both sides by 7:

l = 6

Now, we can substitute this value of l back into equation 2 to find the value of s:

s + 6 = 19

s = 13

The number of small boxes shipped is 13, and the number of large boxes shipped is 6.

There were 13 small boxes shipped and 6 large boxes shipped.

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Therefore, the numbers that could be the probability of an event are: 0.04, 0, 1, and 0.33.

The numbers that could be the probability of an event are: 0.04, 0, 1, and 0.33.

Probability is a mathematical concept used to measure the likelihood or chance of an event occurring.

Probability is expressed as a number that varies between 0 and 1, with a probability of 0 indicating that the event is impossible and a probability of 1 indicating that the event is certain.

The following numbers could be the probability of an event:0.04 (since probability ranges from 0 to 1, the decimal 0.04 falls within this range.)

0 (probability can only be zero when the event is impossible, thus 0 is an acceptable probability.)

1 (since probability ranges from 0 to 1, the value 1 falls within this range.)

0.33 (since probability ranges from 0 to 1, the decimal 0.33 falls within this range.)

Therefore, the numbers that could be the probability of an event are: 0.04, 0, 1, and 0.33.

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The value of the composite function (f o g)(x) is 48

The functions are given as

f(x) = 3x²

g(x) = √2x

The composite function definition is given as

(f o g)(x)

This composite function is calculated using the following composite function formula

(f o g)(x) = f(g(x))

So, we have:

(f o g)(x) = 3(g(x))²

Substitute the known values in the above equation

So, we have the following equation

(f o g)(x) = 3(√2x)²

Set x = 8

So, we have

(f o g)(x) = 3(√(2 x 8))²

Evaluate the expression

(f o g)(x) = 48

Hence, the composite function (f o g)(x) is  48

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The unique solution to the given system is x(t) = \(e^t\)[1; -1] + \(e^5^t\)[1; 1].

To solve the given 2x2 system of differential equations x'(t) = Ax(t) with the initial condition x(0) = [2; 0], we find the eigenvalues and eigenvectors, and then express the solution as x(t) = \(e^(^d^1^t^)\)v1 + \(e^(^d^2^t^)\)v2.

1. Find the matrix A: A = [3, 2; 2, 3]
2. Find eigenvalues (d1, d2) and eigenvectors (v1, v2) of A.
3. Calculate the matrix exponential using the eigenvalues and eigenvectors.
4. Apply the initial condition x(0) = [2; 0] to find the coefficients.

Following these steps, we find d1 = 1, d2 = 5, v1 = [1; -1], and v2 = [1; 1].

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The points where the tangent line is horizontal are (0, 4) and (±√5, -18.75).

The equation of a tangent line to a curve at a point (x0, y0) is given by y−y0=f'(x0)(x−x0).

In this case, we need to find the points on the curve y = x4−10x2+4 where the tangent line is horizontal, so f'(x0) = 0.

To find this, we need to take the derivative of the equation y = x4−10x2+4, which is \(f'(x)=4x^3−20x.\)

Setting this equal to 0, we get 4x3−20x = 0, which simplifies to x = 0 or x = ±√5.

Therefore, the points on the curve where the tangent line is horizontal are (0, 4) and (±√5, -18.75).

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