to the nearest tenth
[tex] \sqrt{50} [/tex]
​

The required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

Arithmetic progression is the series of numbers that have common differences between adjacent values.

here,
The Sequences 8, 11, 14,...

first term a = 8
common difference = 11 - 8 = 3

Now,
The explicit formula is given as,
nth terms = a + (n - 1)d
nth term = 8 + (n - 1)3

Thus, the required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

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The highest power of this function is 5 , so the degree of this polynomial is 5 .

The degree of polynomial is  highest power of variable in a polynomial expression. The polynomial’s degree is the greatest power of a variable in a polynomial equation. The degree of polynomial indicates the highest exponential power in polynomial (the coefficients are ignored).

the polynomial function is ⇒  f(x) = 2x³ + 7x⁵ + 4x + 12 ;

we see that the second term  "7x⁵" has the greatest power  ,

So , we can conclude that the degree of the polynomial function is 5 .

The given question is incomplete , the complete question is

What is the degree of the polynomial function f(x) = 2x³ + 7x⁵ + 4x + 12 ?

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The earthquakes with the greatest magnitude do not always cause the highest number of death because other factors like area ( ground, water , sand etc.), soil structure, buliding constutor material etc. also affect the earthquake intensity.

The biggest earthquakes are not necessarily the most devastating ones. But other factors are also involved here. In areas of water-saturated sand, shaking loosens the sand particles from each other, causing them to "float" on the water and turn into quicksand. Sand at rest is still and hard, but when shaken it forms liquid mud. Buildings and other structures built on such sand simply sink and collapse. Other types of soil structures and terrain can amplify and resonate seismic waves, potentially causing more damage. Of course, if an earthquake occurs at sea, it can create a devastating tsunami. Also, certain structures and buildings are less susceptible to vibration than others due to how they are constructed and the materials used. For example, a large magnitude 9.0 earthquake might cause minor damage due to its remote location. But if 6.0 occurs in an underdeveloped and densely populated area, it could kill thousands.

The more people there are, the more people die. For example, the 2001 earthquake in India occurred in a densely populated area.

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An example of a linear inequality:  5m > 7 + 3p

We know that the linear inequality in two variables represents the inequalities between two algebraic expressions with two variables .

It is an unequal relation between two algebraic expressions.

The symbols used between the expression: less than ‘<’,

greater than ‘>’,

less than or equal to ‘≤’

greater than equal to ‘≥’,

consider an example of a linear inequality:

3x < 2y + 5

5m > 7 + 3p

We can say that a linear inequality is like a linear equation (ax + by = c) but it has an inequality (like <, >, ≤, or ≥) instead of an =

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Answer:

1 1/2

Step-by-step explanation:

An

Regular dodecagons have internal angles that are the same size and have equal length sides and the interior angles of the dodecagon total 1800 degrees.

A regular dodecagon is a shape with equal-length sides and equal-sized internal angles.

It features rotational symmetry of order 12 and twelve reflected symmetry lines.

The Schläfli symbol for a regular dodecagon is 12, and it can be formed from a truncated hexagon (t6) or twice-truncated triangle (tt3).

In a regular dodecagon, the internal angle at each vertex is 150°.

The dodecagon's internal angles add up to 1800 degrees.

A 12-sided polygon is called a dodecagon.

The illustrations above show several unique varieties of dodecagons.

A regular polygon known as a regular dodecagon is a dodecagon with vertices evenly placed around a circle and all sides having the same length.

Therefore, the interior angles of the dodecagon total 1800 degrees.

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Answer:

Answers in the attached photo.

Step-by-step explanation:

Steps are in the attached photo, do note this question is testing on the knowledge of Pythagoras' Theorem.

The complete factor 3x² 6x or 3x² - 6x are 3x and (x-2) and the factor form can be written as 3x( x - 2).

Polynomial factorization represents a polynomial with coefficients in a given field, or an integer as a product of irreducible factors with coefficients in the same domain. Full factoring is a three step process :

2. Factor a Trinomial, if possible.

Example: x² – 2x – 3 factored into

(x + 1)(x – 3).

3. Factor a difference between two

Squares as many times as possible.

Example: y²– 9 factored into

(y + 3)(y – 3).

We have, a polynomial (binomial) say, p(x) = 3x² - 6x , and we have to complete factorize it. Follows the steps,

=> 3x( x - 2 ) , (irreducible factors). Therefore, the 3x is a common factor that we can be factored out and keeping the x minus sign 2 .

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a = 14, b = 3.5

XZ = XY , then

2a + 3b = 11b ( subtract 3b from both sides )

2a = 8b ( divide both sides by 2 )

a = 4b

The perimeter is 91 , so

11b +2a + 3b + a = 91

14b + 3a = 91 ← substitute a = 4b

14b + 3(4b) = 91

14b + 12b = 91

26b = 91 ( divide both sides by 26 )

b = 3.5

and a = 4b = 4 × 3.5 = 14

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After it has been dilated with a scale factor of 2  the side lengths of AX'Y'Z is: a = 14, b = 3.5

XZ = XY , then

2a + 3b = 11b ( subtract 3b from both sides )

2a = 8b ( divide both sides by 2 )

a = 4b

The perimeter is 91 , so

11b +2a + 3b + a = 91

14b + 3a = 91 ← substitute a = 4b

14b + 3(4b) = 91

14b + 12b = 91

26b = 91 ( divide both sides by 26 )

b = 3.5

and a = 4b = 4 × 3.5 = 14

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The sample space would be ((H, W), (H, M), (T, W), (T, M), (C, W), (C, M)}.

Option (C) is correct.

What is the sample space?

The sample space is the set of all possible outcomes of a random experiment.

In this case, the experiment is ordering a sandwich from the shop, and the possible outcomes are the different combinations of sandwich type and bread type. Choice C represents all the possible outcomes of the experiment and it is the correct answer.

C) ((H, W), (H, M), (T, W), (T, M), (C, W), (C, M)}

Hence, the sample space would be ((H, W), (H, M), (T, W), (T, M), (C, W), (C, M)}.

Option (C) is correct.

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The slope of the given equation is -3/2.

The equation of a line in the form 3x + 2y = 8 is not in the standard form of a linear equation, also known as slope-intercept form. In order to find the slope of the line, we need to express the equation in the form y = mx + b, where m is the slope of the line and b is the y-intercept.

To do this, we can start by isolating y on one side of the equation. We can subtract 8 from both sides, resulting in 3x + 2y -8 = 0.

Next, we can divide both sides by 2, which gives us (3/2)x + y - 4 = 0. This is the equation in the slope-intercept form.

The slope of the line is represented by the coefficient of x, which in this case is (-3/2). It tells us that for every 1 unit increase in x, the value of y will decrease by 3/2 units.

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The horizontal asymptote of the graph is the horizontal line y = b and the graph approaches a straight line as the input approaches ∞ or −∞.

Horizontal Asymptote: As x moves towards infinity or -infinity, the curve approaches a constant value b, called a horizontal asymptote with equal numerator and denominator. The following are used to determine the horizontal asymptotes:

For example, function f(x) = 2x / (x - 3) and we have to determine the horizontal asymptotes. As we see the degree of polynomials both in numerator and denominator is equal. So, horizontal asymptotes is equal to number which is obtained by dividing the hightest degree coefficients i.e., 2/1 = 2. Thus, the function has only one horizontal asymptote which is y = 2. Here is the graphical verification.

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The lower limit of a modal can be calculated by determining the lowest frequency interval having a smallest value.

In mathematics, limits are the points at which a function approaches the output for the specified input values. Calculus and mathematical analysis depend heavily on limits, which are required to determine integrals, derivatives, and continuity. It is applied during the analysis process and always focuses on the function's behavior at a certain time.

Let the least term 'h' of a sequence be a term which is smaller than all but a finite number of the terms which are equal to 'h'. Then 'h' is called the lower limit of the sequence.

A lower limit of a series,

lower[tex]\lim_{n \to \infty} S_n = \lim_{n \to \infty} S_n = h[/tex]

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Answer:

13.124 ft

Step-by-step explanation:

1 m = 3.281 ft

4 m = 4 × 3.281 ft = 13.124 ft

A:Expression 3: 4(4x + 6) = 16x + 24 feet, B: No, he is incorrect

C: The perimeter of Carla’s room is 16x + 24, which is the same as Sam’s room.

An expression is a combination of numbers, symbols, and variables that represents a certain value otherwise set of values.

For example, 2x + 5 is an expression that represents any value that can be obtained by substituting any number for the variable x.

In this question

Part A:

The perimeter of Sam's bedroom can be expressed using the following equations:

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

2. P = 2x + 4 + 2y + 4

3. P = 2x + 2y + 8

Part B:

No, Sam is incorrect. The correct expression for the area of his bedroom is A = (x+2)(y+2). He is off by 8 square feet.

Part C:

The perimeter of Carla's room is 4x + 12, which is 4 more than the perimeter of Sam's room.

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Answer:

so plot a 4 and the go up one over right one that way you have the linear equation graphed

The ordered pair which describes the location of M''M" is (4, -4).

In Geometry, a reflection over the y-axis is given by this transformation rule (x, y) → (-x, y). This ultimately implies that, a reflection over the y-axis would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the coordinates of the image coordinates include the following:

(x, y)                               →              (-x, y)

Coordinate M = (-4, 4)   →  Coordinate M' = (-(-4), 4) = (4, 4).

Next, we would apply a reflection over the x-axis to the above coordinates as follows:

(x, y)                               →              (x, -y)

Coordinate M' = (4, 4)   →  Coordinate M" = (4, -(4)) = (4, -4).

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Answer:

Area = 28

Area of cutout = 1/2 * 2 * 4 = 4

Area of entire rectangle without cutout = 32

(Also 4 * 4 + 2 * 4 + 1 * 4 = 28)

Answer: 62.5%.

hope this helped

Answer: 24.2

Step-by-step explanation: Use the Pythagorean Theorem:

10^2 + 22^2 = x^2

100 + 484 = x^2

x^2 = 584

x = 24.16609..

which is close to 24.2

Answer: 24.2

Step-by-step explanation:

Use the Pythagorean Theorem.

[tex]a^2 + b^2 = c^2[/tex]

We already know a and b.

We can plug it in into the theorem.

[tex]10^2 + 22^2 = c^2[/tex]

[tex]584 = c^2[/tex]

Then, take the square root of 584.

[tex]\sqrt{584}[/tex] ≈ 24.2 (24.16 rounded up is 24.2)

The range of a negative function are those which lies in the intervals where the function is below the x-axis.

The range function can be positive or negative because the range formula substracts the lowest number from the highest number. A negative function has all negative values. The negative function has values that are all negative. The domain of the function can be positive. Every output must be less than zero. A negative function has values that are negative for all arguments of its domain. The function values can be positive or negative. They can increase or decrease as the input increases.

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Multiply the number in the one's place. Multiply the number in the ten's place. And then add them up.

Multiply 2-Digit Numbers Without Regrouping:

Follow along with example 43 × 32:

Place one number above the other so that the ones' place digits and tens' place digits are lined up. Draw a line beneath the bottom number.

 4 3

×3 2

_______

Multiply the ones' place digits (2 × 3 = 6) and one's place of the second number by the ten's place of the first number (2 × 4 = 8). Place the 6 below the line in the ones' place column and 8 below the line in the tens' place column.

4 3

×3 2

_________

8 6

Multiply the digit in the tens' place column (3) by the digit in the ones' place of the first number (3). The result is 3 × 3 = 9 and Multiply the digit in the tens' place column (3) by the digit in the tens' place of the first number (4). The outcome is 3 × 4 = 12. Now add the numbers and place the answer below the line.

4 3

×3 2

__________

  8 6

12 9×

__________

13 76

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Answer:

cost of football = 7.49

cost of tennis = 2.25

Step-by-step explanation:

I have been working 1004 days at the job as a student

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

Calculating the days from 08/21/2019 to 08/21/2022, we get:

Days 1 = (08/21/2022 - 08/21/2019) * (365 days/1 year)

Days 1 = 3 years * (365 days/1 year)

Days 1 = 1095 days

Calculating the days from 05/21/2019 to 08/21/2019, we get:

Days 2 = (08/21/2019 - 05/21/2019) * (30 days / 1 month)

Days 2 = 3 month * (30 days / 1 month)

Days 2 = 90 days

Calculating the days from 05/20/2019 to 05/21/2019, we get:

Days 3 = 05/21/2019 - 05/20/2019

Days 3 = 1 day

Calculating the total days from 08/21/2019 to 05/20/2022, we get:

Total days = Days 1 - days 2 - days 3

Total days = 1095 days - 90 days - 1 day

Total days = 1004 days

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Answer:

T is the cost

Step-by-step explanation:

by looking at the question you can see the answer.

By using the area of the square formula, it can be concluded that the side of the square shed is 6 meters.

The area of a square or a rectangle can be defined as the number of square units needed to fill it.  

Area of a Square = side × side = side²

Area of a rectangle = width x length

Area of the square = area of the rectangle

Rectangle width = 3 meter

Rectangle length = 12 meter

To find the side of the square shed, we can do the following:

Area of the square = Area of the rectangle

                      side² = width x length

                               = 3 x 12

                               = 36

                       side = √36

                               = 6

Thus the side of the square shed is 6 meters.

Two storage sheds are to have the same area. One is square and one is rectangular. The rectangular shed is 3 meters wide and 12 meters long. How large is one side of the square shed in meters?

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The equation 6x + 7 = 2(3x + 5) + 9 has no solution.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

Let's solve the equation for variable x.

A variable is a number represented with letter in an equation. Therefore,

6x + 7 = 2(3x + 5) + 9

6x + 7  = 6x + 10 + 9

6x + 7 = 6x + 19

6x - 6x = 19 - 7

0x = 12

Therefore, the equation cannot be solved.

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The equation in the said case is 10x + 5 = 35

Tickets bought = 10

Parking fee paid = $5

Money spent on seeing the show = $35

Determining the equation in the given case -

10x + 5 = 35

Where x is the cost of each ticket, and 10x represents the total cost of the tickets.

The equation states that the total cost of the tickets which is 10x plus the cost of the parking fee which is $5 is equal to the total amount spent by Kate which will be 35$.

This equation can be further used to find the cost of each ticket by isolating x:

10x + 5 = 35

10x = 30

x = 3

Therefore, each ticket cost $3.

Complete Question:

kate buys 10 tickets to the show. She also pays a 5$ parking fee. she spent $35 to see the show. What equation is this

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