Expansion of Binomials
Expand (2x + 3)5
Show all work for credit (show how you got each term within the expansion).

Time-series analysis is most effective when used in medium- to long-term forecasts.

Time-series analysis is most effective when used in​ short-term forecasts. So, the correct option is D. Short.

In mathematics, time series are data points indexed (or listed or plotted) over time. In general, a time series is a sequence obtained at successive points in time. So it is a discrete time data series. Examples of time series are the peak height of the Dow Jones Industrial Average, the number of days, and the daily closing price.

Time series are usually organized by running charts (timeline charts). Time series statistics, signal processing, pattern recognition, econometrics, financial mathematics, weather forecasting, earthquake prediction, electroencephalography, control engineering, astronomy, communications engineering, etc. It is used with the time measurement field in many science and engineering fields.

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The radius of the circle is approximately 10.17 units (rounded to two decimal places).

To find the radius of the circle, we need to use the formula that relates the central angle to the length of the arc and the radius of the circle. The formula is given as:

arc length = radius x central angle

In this case, the arc length is given as 24.4 and the central angle is given as 2.4 radians. Substituting these values in the formula, we get:

24.4 = r x 2.4

Solving for r, we get:

r = 24.4 / 2.4

r ≈ 10.17

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Answer:

5/6

.......................

Answer:  0.83

Step-by-step explanation: 1/2-(-1/3)= 5/6: Decimal form is 0.83

Both the shapes will have the same Perimeter.

It is given that :

Anthony drew a pentagon whose each side measures 6inches

Whereas, Carol drew a hexagon whose each side measures 5inches

The formula to calculate the Perimeter of the Pentagon is: 5*a

and, the formula to calculate the Perimeter of the Hexagon is: 6*a

In the given formulas, 'a' represents the measure of the side for both the Pentagon & Hexagon.

Calculating, Perimeter of Pentagon P1 = 5 * a, where a = 6 inches

                         => P1 = 5*6  => P1 = 30inch

Calculating, Perimeter of Hexagon P2 = 6*a, where a = 5 inches

                         => P2 = 6*5 => P2 = 30inch

We get P1 = P2
Hence, Both the Pentagon & the Hexagon have equal Perimeters of 30inch

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Answer:

One third of 9 is 3

I dunno the 2nd one tbh

4+ one fourth of 28 is 11

Answer:

286

Step-by-step explanation:

Answer:78

Step-by-step explanation:

Answer:

x=8    y=4

Step-by-step explanation:

x=12-y

12-y-y=4

-2y=-8

y=4

x=12-y

x=12-4

x=8

12 teaspoons do not equate to 1/4 cup, though.

In measure 4 tablespoons, or 4 x 3 teaspoons, equals 12 teaspoons, or 1/4 cup.

The fundamental idea in the study of science and mathematics is measurement. The qualities of an object or event can be quantified so that we can compare them to those of other objects or occurrences. When discussing the division of a quantity, measurement is the word that is used the most frequently. Additionally, in that it requires a specific number of items to complete a specific task. We frequently encounter many measurement kinds for length, weight, times, etc. in our daily lives.

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To calculate the mean, standard deviation, and variance for a binomial variable, we need the values of n and p.

The mean (or expected value) of a binomial variable is given by the formula mean = n * p. The standard deviation is calculated using the formula standard deviation = sqrt(n * p * (1 - p)), and the variance is equal to (n * p * (1 - p)). Now, let's calculate the mean, standard deviation, and variance for the given values of n and p:
Mean = n * p
Standard deviation = sqrt(n * p * (1 - p))
Variance = n * p * (1 - p)


Substitute the values of n and p into the formulas: Mean = n * p
Standard deviation = sqrt(n * p * (1 - p))
Variance = n * p * (1 - p)
Calculate the values:
Mean = n * p
Standard deviation = sqrt(n * p * (1 - p))
Variance = n * p * (1 - p) Remember to replace n and p with their respective values in each calculation.

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Without using calculator, the values are;

i. sec x = √5/2

ii. cosec x =  -√5

iii. cot x = -2

From the information given, we have that the trigonometric identity tangent takes the value;

tan x = - 1/2

Where;

Now, let's determine the hypotenuse side,

Hypotenuse square = opposite square + adjacent square

substitute the values

x² = (-1)² + (2)²

find the squares

x² = 1 + 4

x = √5

For secant,

sec x = hypotenuse/adjacent

sec x = √5/2

For cosecant,

cosec x = hypotenuse/opposite

cosec x = √5/-1 = -√5

For cot x,

cot x = Adjacent/opposite

cot x = 2/-1

cot c = -2

Hence, the values are √5/2, -√5 and -2

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the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

To write the system of ordinary differential equations (ODEs) for the transition probabilities Pᵢⱼ(t) of the given continuous-time Markov chain, we need to consider the rate at which the system transitions between different states.

Let Pᵢⱼ(t) represent the probability that the Markov chain is in state j at time t, given that it started in state i at time 0.

The ODEs for the transition probabilities can be written as follows:

dP₁₂(t)/dt = q₁₂ * P₁(t) - q₂₁ * P₂(t)

dP₁₃(t)/dt = q₁₃ * P₁(t) - q₃₁ * P₃(t)

dP₂₁(t)/dt = q₂₁ * P₂(t) - q₁₂ * P₁(t)

dP₂₃(t)/dt = q₂₃ * P₂(t) - q₃₂ * P₃(t)

dP₃₁(t)/dt = q₃₁ * P₃(t) - q₁₃ * P₁(t)

dP₃₂(t)/dt = q₃₂ * P₃(t) - q₂₃ * P₂(t)

where P₁(t), P₂(t), and P₃(t) represent the probabilities of being in states 1, 2, and 3 at time t, respectively.

Now, let's consider the second part of the question: Suppose that the initial state is 1. We want to find the probability that after the first transition, the process X(t) enters state 2.

To calculate this probability, we need to find the transition rate from state 1 to state 2 (q₁₂) and normalize it by the total rate of leaving state 1.

The total rate of leaving state 1 can be calculated as the sum of the rates to transition from state 1 to other states:

total_rate = q₁₂ + q₁₃

Therefore, the probability of transitioning from state 1 to state 2 after the first transition can be calculated as:

P(X(t) enters state 2 after the first transition | X(0) = 1) = q₁₂ / total_rate

In this case, the transition rate q₁₂ is 1, and the total rate q₁₂ + q₁₃ is 1 + 2 = 3.

Therefore, the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

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Answer:

Domain: 0<x<4

Range:0<y<400

The signs should be less than or equal too

Step-by-step explanation:

The signs are less than or equal to

The graph shows the amount of flour (In grams) remaining in the machine versus time (in minutes). The domain and range is

Domain : \(0\leq x\leq 4\)

Range: \(0\leq y\leq 400\)

Given :

The graph shows the amount of flour (In grams) remaining in the machine versus time (in minutes).

Domain is the set of x values and Range is the set of y values

For domain we look at the x values (Time) on the graph

a bakery poured out flour for 4 minutes. So domain is 0 to 4

Inequality  for domain : \(0\leq x\leq 4\)

Range is the set of y values (Amount of flour)

The y values is between 0 to 400

So range is \(0\leq y\leq 400\)

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Answer:

5

Step-by-step explanation:

2x - 7 + 7 > 3 + 7

2x/2 > 10/2

x > 5

(my device doesn't have the sign for greater than or equal to so imagine i used it)

Answer:

9

Step-by-step explanation:

2^(7–7) =1 1 ≥ 3? No

2^(8–7) =2 2 ≥ 3? No

2^(9–7) =4 4 ≥ 3? Yes

Answer:

4030 or 3040 I think 4030 though

Step-by-step explanation:

I think this is it but 6*8 is 48....I used a little logic so hopefully this is right

Answer:

4030

Step-by-step explanation:

if 9× 7 = 3545 then it 7 × 5, 9× 5 which gives 3545

4x3 = 3× 5, 4×5 which gives 1520

so 6× 8 will give 8×5, 6×5 = 4030

Answer:

1.45%+4.2%= 5.65%

100%->650

5.65%-> 36.725

650- 36.725 - 10 = 603.275

~ 603. 27

hence answer is b

Correct Answer: $603.27

Answer:

A. X = 30º

Step-by-step explanation:

The angle labeled x & the right angle are vertical angles to the one labeled 120º.

Therefore:

X + 90 = 120

Solve for x:

X + (90-90) = 120 - 90

X = 30

Hope this helps! Have a great day!

The perimeter of the square is 100 metres.

A square is a quadrilateral with 4 sides equal to each other. The sides of a square are equal to each other.

Therefore, the area of the square is 625 metres square. Let's find the perimeter of the square.

area of a square = l²

where

Therefore,

area of the square = l²

l² = 625

l = √625

l = 25 metres

Perimeter of the square = 4l

where

Perimeter of the square = 4 × 25

Perimeter of the square = 100 metres

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Answer:

96

Step-by-step explanation:

53+45=96

180-96=84

180-84=96

Answer:

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

Step-by-step explanation:

2 movies and 6 video games for $40. \(2m+6v=40\) 5 movies and 3 video games for $25. \(5m+3v=25\)

We set up systems of equations.

\(2m+6v=40\)

\(5m+3v=25\)

\(5(2m+6v=40)\\2(5m+3v=25)\\\) <-- This step is done so we can make the numbers before the \(m\) the same.

\(10m+30v=200\\10m+6v=50\\\)<-- Notice now how the numbers before the \(m\) are the same.

Now, since the numbers before the \(m\) are the same, we subtract to get rid of them.

\(24m=150\)

We now know that \(m=10\)

Replace 10 as \(m\) in the first eqation to find \(v\): \(2(10)+6v=40\)

Solve

\(20+6v=40\\6v=20\\v=\frac{20}{6} = \frac{10}{3}\)

Therefore \(m=10\\v=\frac{10}{3}\)

Answer:

x | -7      -5     -3  

y | -21    -15    -9

Step-by-step explanation:

y = 3x

If x = -7  then y = 3 × (-7) = -21

  x = -5  then y = 3 × (-5) = -15

  x = -3  then y = 3 × (-3) = -9

Answer:

No

Step-by-step explanation:

Even though the two are equal, it isn't symetrical

Answer:

the answer is a=10/B+C

Step-by-step explanation:

THE QUESTION IS

B+C=10/a

So you must 1st

Answer:

x=9

Step-by-step explanation:

13x-32 and 7x+22 are equal to each other (angles) so

13x-32=7x+22

13x-7x=22+32

6x=54

x=54/6

x=9

Answer: m = 4

Step-by-step explanation:

The ideal travel angle for manual cutting operations is a push angle of 30-45 degrees.

Explanation: When performing manual cutting operations, it is important to consider the travel angle, which refers to the direction in which the cutting tool moves in relation to the workpiece. The recommended travel angle for most cutting operations is a push angle of 30-45 degrees. This means that the cutting tool should be positioned at an angle, pushing forward against the workpiece as it cuts. This angle allows for optimal cutting efficiency and control.

A push angle within this range ensures that the cutting force is distributed evenly, minimizing the risk of tool slippage or workpiece damage. It also helps to maintain good visibility of the cutting path, reducing the chances of errors or accidents. Additionally, the push angle allows the operator to exert sufficient downward pressure on the cutting tool, aiding in effective material removal. Overall, a push angle of 30-45 degrees is considered the most effective for achieving accurate and efficient manual cutting operations.

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Answer:

5+z

Step-by-step explanation:

you can't add them unless you know what z is

Answer:

c=-24

Step-by-step explanation:

to find C we have to plug in the coordinate given to us

12(4)+4(-6)+C= 0

48-24+c=0

24+c=0

c=-24