he best-fitting line through a scatterplot is known as the linear correlation line. linear regression line. linear variance line. linear scatterplot line.

Answer:

10x+10

Step-by-step explanation:

distrubute 4(x+10)-30+6

subctract 4x+40-30+6

combine 10x+10

Answer:

x>6

Step-by-step explanation:

hopefully the answer is clear and understandable.

:)

The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7

Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle.  There are three common trigonometric ratios: sine, cosine, and tangent

For page 3 question 3,

a) <A + <B = 90 since <C = right angle

b) SinA = BC/AB and CosB = BC/AB

The ratio of the two angles BC/AB ÷ BC/AB = 1

I notice that the ratio of sinA and cosB gives 1

b) The ratio of CosA and SinB will give

BC/AB ÷ BC/AB

= BC/AB * AB/BC = 1

For page 5 number 3

Tan28 = g/i

g/12.2 = tan28

cross multiplying to have

g = 12.2*tan28

g = 12.2 * 0.5317

g = 6.5

b) the angle I is given as 90-28 degrees

<I = 62 degrees

To find the side h we use the Pythagoras theorem

h² = (12.2)² + (6.5)²

h² = 148.84 +42.25

h²= 191.09

h=√191.09

h= 13.8

For page 6

1) Sin42 = x/18

x=18*sin42

x = 18*0.6691

x = 12.0

2) cos28 = 6/x

xcos28 = 6

x = 6/cos28

x [= 6/0.8829

x = 6.8

3)  Tan63 = x/34

x = 34*tan63

x= 34*1.9526

x = 66.4

4) Sin50 123/x

xsin50 = 123

x = 123/sin50

x = 123/0.7660

x =160.6

5)  Sin57 = P/8

Pole = 8sin57

the pole = 8*0.8387

The pole = 6.7

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Answer: x < 6

Step-by-step explanation:

1. Add 1 to both sides of the equation.

  2x − 1 + 1 < 11 + 1

  2x < 12

2. Divide both sides of the equation.

   \(\frac{2x}{2}\) < \(\frac{12}{2}\)

No, the explanation is not correct.The phrase "statistically significant at the a = 0.05 level" refers to the result of a statistical hypothesis test. It indicates that the observed data is unlikely to have occurred by chance alone if the null hypothesis is true, assuming a significance level of 0.05.

The student's explanation incorrectly states that the phrase "statistically significant at the a = 0.05 level" means that the probability that the null hypothesis is true is less than 0.05. However, in hypothesis testing, the significance b(α) represents the threshold used to make a decision about rejecting or failing to reject the null hypothesis. It is not a direct measure of the probability that the null hypothesis is true or false. The phrase indicates that the observed data is unlikely to have occurred by chance alone if the null hypothesis is true, assuming a significance level of 0.05.

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Answer:

Down here ↓↓↓↓↓

Step-by-step explanation:

Domain:

-3 ≤ x ≤ 3

Range :

-4 ≤ y ≤ 2

Function? No, it hits two points if you place a vertical line.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

It's -3

Step-by-step explanation:

I got it right on Edge 2020

In analyzing the performance of implementing the given methods over Singly Linked List and Doubly Linked List data structures, we consider the Big-O notation, which provides insight into the time complexity of these operations as the size of the list increases.

Add to Start of List:

Singly Linked List: O(1)

Doubly Linked List: O(1)

Both Singly Linked List and Doubly Linked List offer constant time complexity, O(1), for adding an element to the start of the list.

This is because the operation only involves updating the head pointer (for the Singly Linked List) or the head and previous pointers (for the Doubly Linked List). It does not require traversing the entire list, regardless of its size.

Add to End of List:

Singly Linked List: O(n)

Doubly Linked List: O(1)

Adding an element to the end of a Singly Linked List has a time complexity of O(n), where n is the number of elements in the list. This is because we need to traverse the entire list to reach the end before adding the new element.

In contrast, a Doubly Linked List offers a constant time complexity of O(1) for adding an element to the end.

This is possible because the list maintains a reference to both the tail and the previous node, allowing efficient insertion.

Add at Given Index:

Singly Linked List: O(n)

Doubly Linked List: O(n)

Adding an element at a given index in both Singly Linked List and Doubly Linked List has a time complexity of O(n), where n is the number of elements in the list.

This is because, in both cases, we need to traverse the list to the desired index, which takes linear time.

Additionally, for a Doubly Linked List, we need to update the previous and next pointers of the surrounding nodes to accommodate the new element.

In summary, Singly Linked List has a constant time complexity of O(1) for adding to the start and a linear time complexity of O(n) for adding to the end or at a given index.

On the other hand, Doubly Linked List offers constant time complexity of O(1) for adding to both the start and the end, but still requires linear time complexity of O(n) for adding at a given index due to the need for traversal.

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Solution

Given the equation 2x+5y=1

We are required to Identify the slope and y intercept

The general equation of a straight line is in the form y = mx + c

Where m = slope and c= y-intercept

To solve the problem before us, we need to re-write 2x+5y=1 in the form y = mx + c

Thus, the slope = -2/5 while the y-intercept is 1/5

Answer:

8z + 20

Step-by-step explanation:

f(z) = 4(2z+5)

     = 4*2z + 5*4

     = 8z + 20

Answer:

there are7 groups of 4 and 1 group of 2

Step-by-step explanation:

Answer:

(6⁴ * 8⁻⁷) ⁻⁹

equivalent expressión is:

1 / (6⁴ * 8⁻⁷)⁹

Step-by-step explanation:

(6⁴ * 8⁻⁷) ⁻⁹

= 1 / (6⁴ * 8⁻⁷)⁹

The equation of Henry's equation is y = 2x + 3

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

A system of linear equations is a collection of at least two linear equations.

In this case, the equation of Adriana is given as

y = 2x + 4

From the question, we understand that:

Henry's equation has the following properties:

This is represented as:

y = 2x + 4 - 1

Evaluate the difference

y = 2x + 3

Hence, the equation of Henry's equation is y = 2x + 3

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Answer:

Step-by-step explanation:

1.  0.40

2. 0.5

The person will need approximately 0.55 gallons of paint to paint the room.

To calculate the amount of paint needed, we need to first calculate the surface area that will be painted. The person will paint four walls and the ceiling of the room.

To calculate the surface area of the walls, we need to find the area of each wall and add them together. Since the room is rectangular, each wall has the same height of 8 ft. The width and length of each wall are:

- Wall 1: 9 ft x 8 ft = 72 ft²
- Wall 2: 9 ft x 8 ft = 72 ft²
- Wall 3: 2 ft x 8 ft = 16 ft²
- Wall 4: 2 ft x 8 ft = 16 ft²

The total surface area of the walls is: 72 ft² + 72 ft² + 16 ft² + 16 ft² = 176 ft²

To calculate the surface area of the ceiling, we need to find the area of the rectangle that represents the ceiling. The length and width of the ceiling are:

- Ceiling: 9 ft x 2 ft = 18 ft²

Therefore, the total surface area that will be painted is: 176 ft² + 18 ft² = 194 ft²

Since we know the surface area that will be painted, we can now calculate the amount of paint needed. The amount of paint needed depends on the type of paint and the manufacturer's instructions. Generally, paint coverage is measured in square feet per gallon. If we assume a coverage of 350 square feet per gallon, then the person will need:

- 194 ft² / 350 ft²/gal = 0.55 gallons of paint

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Answer:

Step-by-step explanation:

To find the number of tickets Kenji hoped to sell each week, we can set up an equation based on the information given.

Let's assume Kenji's goal was to sell x tickets each week.

According to the problem, Kenji sold a total of 115 tickets after 8 weeks but was still 21 tickets short of his goal. This means he sold 115 - 21 = 94 tickets towards his goal.

The equation to find the number of tickets Kenji hoped to sell each week can be written as:

8x = 94

Here, 8 represents the number of weeks and x represents the number of tickets Kenji hoped to sell each week.

To solve the equation for x, we divide both sides by 8:

x = 94/8

Simplifying:

x = 11.75

Therefore, Kenji hoped to sell approximately 11.75 tickets each week to reach his goal. Since it is not possible to sell a fraction of a ticket, we can conclude that Kenji aimed to sell 11 tickets per week.

Answer:

80

Step-by-step explanation:

1)   37+63=100

2)   180-100= 80

Answer: the answer is..

Step-by-step explanation:

The direct and Inverse variation relationship,x = 2 and z = 1, the value of y is 12.

the direct and inverse variation relationship:

y = k * (x^2) / z

where k is the constant of variation.

Given that y = 4 when x = 4 and z = 12, we can substitute these values into the equation:

4 = k * (4^2) / 12

Simplifying, we have:

4 = k * 16 / 12

To solve for k, we can cross-multiply and divide:

4 * 12 = k * 16

48 = 16k

Dividing both sides by 16:

48 / 16 = k

k = 3

Now that we have determined the value of k, we can use it to find y when x = 2 and z = 1.

Substituting these values into the equation, we have:

y = 3 * (2^2) / 1

Simplifying further

y = 3 * 4 / 1

y = 12

Therefore, when x = 2 and z = 1, the value of y is 12.

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Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

To find out how much of each leftover paint Josh should mix to achieve a medium pink color (50% red), we can set up a system of equations based on the percentages of red in the paints.

Let's assume that Josh needs x gallons of dark pink paint and y gallons of light pink paint to achieve the desired color.

The total amount of paint needed is 3 gallons, so we have the equation:

x + y = 3

The percentage of red in the dark pink paint is 80%, which means 80% of x gallons is red. Similarly, the percentage of red in the light pink paint is 30%, which means 30% of y gallons is red. Since Josh wants a 50% red mixture, we have the equation:

(80/100)x + (30/100)y = (50/100)(x + y)

Simplifying this equation, we get:

0.8x + 0.3y = 0.5(x + y)

Now, we can solve this system of equations to find the values of x and y.

Let's multiply both sides of the first equation by 0.3 to eliminate decimals:

0.3x + 0.3y = 0.3(3)

0.3x + 0.3y = 0.9

Now we can subtract the second equation from this equation:

(0.3x + 0.3y) - (0.8x + 0.3y) = 0.9 - 0.5(x + y)

-0.5x = 0.9 - 0.5x - 0.5y

Simplifying further, we have:

-0.5x = 0.9 - 0.5x - 0.5y

Now, rearrange the equation to isolate y:

0.5x - 0.5y = 0.9 - 0.5x

Next, divide through by -0.5:

x - y = -1.8 + x

Canceling out the x terms, we get:

-y = -1.8

Finally, solve for y:

y = 1.8

Substitute this value of y back into the first equation to solve for x:

x + 1.8 = 3

x = 3 - 1.8

x = 1.2

Therefore, Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

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Answer:

False, 82 inches is not greater than 5 feet and 10 inches

Step-by-step explanation:

1 feet = 12 inches

5x12=60+10=70

82 is greater than 70.

The angles formed by the bisector are equal in measure, adjacent, supplementary, form a linear pair, and are congruent.

When a line bisects an angle, it divides the angle into two equal parts. The resulting angles have several properties

They have equal measures: The two angles formed by the bisector have the same degree measurement.

They are adjacent: The two angles share a common side and vertex.

They are supplementary: The sum of the two angles formed by the bisector is 180 degrees.

They form a linear pair: The two angles, together with the adjacent angle on the other side of the bisector, form a straight line or a linear pair.

They are congruent: The two angles formed by the bisector are congruent to each other.

These properties are useful in solving problems involving angle bisectors in geometry.

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I have solved the question in general, as the given question is incomplete.

The complete question is:

What are some properties of the angles formed by the bisector?

Answer:

A

Step-by-step explanation:

The answer is up ahead

Since the 1980s, the percentage of Americans who are members of a workplace union has declined significantly.

According to data from the Bureau of Labor Statistics, the union membership rate in the United States has experienced a substantial decrease over the past few decades. In the 1980s, the union membership rate was around 20% of the total workforce. However, as of the most recent available data, which is from 2020, the union membership rate stands at approximately 10.8%.

This indicates a decline of about 9.2 percentage points since the 1980s. The reasons for this decline include various factors such as changes in labor laws, economic shifts, and shifts in industries and employment patterns.

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The graphs cross at x=-1 and x=1. Those are the solutions to to the equation

We know that, If two functions are equal then there solution is the intersection point of the curves.

When we determine the graph the intersection points are (0,2) and (1,1.25).

The values of x of the intersection points are the solutions of the system

Using a graphing tool, there are two intersection points and therefore the solutions are x = -1 and x [ 1.

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I don't know i don't know i don't know

The answers for both the parts are a) 260 and b) 200 Jolly Rancher and 520 jawbreakers.

A ratio is a way to show a relationship or compare two numbers of the same kind. We use ratios to compare things of the same type.

Given that, a candy jar have candies type Jolly Rancher and jawbreakers

in ratio 5:13 respectively.

Let the number of Jolly Rancher and jawbreakers be 5k and 13k respectively,

a) When you have 100 Jolly Rancher, then,

5k = 100

k = 20

Hence, number of jawbreaker = 20×13 = 260

b) When the total number of candies in the jar is 720, then,

5k+13k = 720

18k = 720

k = 40

Therefore, number Jolly Rancher and jawbreakers it contains = 40×5 = 200 and 13×40 = 520

Hence, The answers for both the parts are a) 260 and b) 200 Jolly Rancher and 520 jawbreakers.

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Answer:

a)

x=4, y=-2

b)

x=2, y=2

c)

x=0, y=0

d)

x=1, y=1

e)

x=3, y=3

f)

x=4, y=4

Step-by-step explanation:

a) (x,-2) = (4,y)

x=4

y=-2

b) (3x, 4) = (6, 2y)

3x=6 => x=2

2y=4 => y=2

c) (2x-1, y + 2) = (-1,2)

2x-1 =-1 => x=0

y+2 = 2 => y=0

d) (2x + 4, y + 5) = (3x + 3,6)

2x+4 = 3x+3 => x=1

y+5 = 6 => y=1

e) (x + y,y + 3) = (6, 2y)

x+y = 6 => x+3 = 6 => x=3

y+3 = 2y => y=3

f) (x + y, x - y) - (8,0)​

x+y = 8 => 2x=8 => x=4

x-y = 0 => x=y => y=4

The solution of the given differential equation is y =  x⁴ ∑ (-1)ⁿ [(n+3)(n+4)(n+5)...(2n+3)]/[(n!)(3)(2)(1)] and the value of r is 4 and the value of cₙ is (-1)ⁿ [(n+3)(n+4)(n+5)...(2n+3)]/[(n!)(3)(2)(1)].

Given: x²y′′ + 5xy′ + (4+6x)y = 0, x > 0.

To find: The solution of the given differential equation in the form y₁ = x^r ∑ cₙ xⁿ n=0, where c₀=1.

Solution: Let's assume the solution of the given differential equation is of the form y₁=x^r ∑ cₙ xⁿ n=0---(1).

Differentiating (1) w.r.t x, we get y′=rx^(r-1) ∑ cₙ xⁿ + x^r ∑ ncₙ x^(n-1)---(2).

Differentiating (2) w.r.t x, we get

y′′=r(r-1)x^(r-2) ∑ cₙ xⁿ + 2rx^(r-1) ∑ ncₙ x^(n-1) + x^r ∑ n(n-1)cₙ x^(n-2)---(3).

Now substitute (1), (2) and (3) in the given differential equation, we get,

x²[r(r-1)x^(r-2) ∑ cₙ xⁿ + 2rx^(r-1) ∑ ncₙ x^(n-1) + x^r ∑ n(n-1)cₙ x^(n-2)] + 5x[rx^(r-1) ∑ cₙ xⁿ + x^r ∑ ncₙ x^(n-1)] + (4+6x)x^r ∑ cₙ xⁿ = 0

On simplification, we get,

∑ [(r(r-1)cₙ + 5rcₙ + (4+6(n+1))cₙ) x^(r+n)] = 0

Hence, we get the following recurrence relation:

r(r-1)cₙ + 5rcₙ + (4+6(n+1))cₙ = 0

⇒ r(r+4)cₙ = -(6n+4)cₙ

⇒ cₙ₊₁/cₙ = - (r+n+3)(r+n+2)/(r+4)

On solving the recurrence relation, we get

cₙ = (-1)ⁿ [r(r+1)(r+2)(r+3)...(r+n-1)]/[(n!)(4)(3)(2)(1)]

Since c₀=1

⇒ c₀ = (-1)⁰ [r(r+1)(r+2)(r+3)...(r+0-1)]/[(0!)(4)(3)(2)(1)]

⇒ 1 = r/4

⇒ r = 4

Hence, the solution of the given differential equation is

y = y₁

= x⁴ ∑ cₙ x^ⁿ

= x⁴ ∑ (-1)ⁿ [(4)(5)(6)...(4+n-1)]/[(n!)(4)(3)(2)(1)]

y = x⁴ ∑ (-1)ⁿ [(n+3)(n+4)(n+5)...(2n+3)]/[(n!)(3)(2)(1)]

Therefore, the value of r is 4 and the value of cₙ is (-1)ⁿ [(n+3)(n+4)(n+5)...(2n+3)]/[(n!)(3)(2)(1)].

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