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Answer:

The nth term of the sequence is:

[tex]a_n=\frac{-3n+3}{2}+8[/tex]

Step-by-step explanation:

Given the first 5 terms of the arithmetic sequence

8, 13/2, 5, 7/2, and 2

An arithmetic sequence has a constant difference 'd' and is defined by:

[tex]a_n=a_1+\left(n-1\right)d[/tex]

as the common difference 'd' is:

[tex]d=a_{n+1}-a_n[/tex]

Computing the differences of all the terms

[tex]\frac{13}{2}-8=-\frac{3}{2},\:\quad \:5-\frac{13}{2}=-\frac{3}{2},\:\quad \frac{7}{2}-5=-\frac{3}{2},\:\quad \:2-\frac{7}{2}=-\frac{3}{2}[/tex]

[tex]d=-\frac{3}{2}[/tex]

The first element is:

[tex]a_1=8[/tex]

Therefore, the nth term is computed by:

[tex]a_n=a_1+\left(n-1\right)d[/tex]

[tex]a_n=-\frac{3}{2}\left(n-1\right)+8[/tex]

[tex]a_n=\frac{-3n+3}{2}+8[/tex]

Therefore, nth term of the sequence is:

[tex]a_n=\frac{-3n+3}{2}+8[/tex]

Answer:

Evaluation: √2

Simplified: |-2|+2

Hope this helps!

Answer:

11.18033989

Step-by-step explanation:

Answer:

19)   D (-8, -2)

20)  B (0, 8)

Step-by-step explanation:

-x - y = 10

-6x + 11y = 26

-x - y = 10

-x = 10 + y

x = -10 - y

-6x + 11y = 26

-6(-10 - y) + 11y = 26

60 + 6y + 11y = 26

60 + 17y = 26

17y = -34

y = -2

-x - y = 10

-x - (-2) = 10

-x + 2 = 10

-x = 8

x = -8

_______________

-x + y = 8

3x + 2y = 16

-x + y = 8

y = 8 + x

3x + 2y = 16

3x + 2(8 + x) = 16

3x + 16 + 2x = 16

5x + 16 = 16

5x = 0

x = 0

-x + y = 8

-0 + y = 8

y = 8

Answer:

1.x+6

2.3.3c --8.2

3.11x -- 1/4

4.9x+5

5.x+14.4/2

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

Answer:

the continuous line forming the boundary of a closed geometric figure

Step-by-step explanation:

that is what perimeter means. if i understand the question correctly. sorry if i don't.

Answer:

x=5/4

Step-by-step explanation:

Answer:  x = 1  1 /4

Hope it helped

Step-by-step explanation:

Answer:

perimeter BC=5

PERIMETER = THE SIDES OR SURFACE

SO ITS

5+5+5= 15

Answer:

1. (11r+32)+11t

2. 11(r+t)+32

3. 11r+11t+32

Step-by-step explanation:

Answer:

6y = x

Step-by-step explanation:

All that equation is saying is that for every 1 hour drilled (x), 6 meters (y) are drilled.

y = distance in meters

x = time

12y = 2x

12y/2 = 2x/2

6y = x

30y = 5x

30y/5 = 5x/5

6y = x

The equation representing the depth of the drill in meters, y, after ​x hours of drilling is y = -6x

Since the slope is 3, hence it passes through the point (-4.67, 0). Hence the equation of the line is y = 3x + 14.

A linear equation is in the form:

y = mx + b;

where m is the slope, b is the y intercept and y, x are variables.

Let y represent the depth of drill in meters after x hours of drilling. Hence:

Since after 2 hours, the drill is 12 meters below the surface, it can be represented by (2, 12). Also after 5 hours, the drill is 30 meters below the surface, it can be represented by (5, 30)

The equation of the line is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \\\\y-(-12)=\frac{-30-(-2)}{5-2}(x-2) \\\\y+12=-6(x-2)\\\\y+12=-6x+12\\\\y=-6x[/tex]

The equation representing the depth of the drill in meters, y, after ​x hours of drilling is y = -6x

Find out more at: https://brainly.com/question/19426333

Therefore the graph is attached below.

Find out more at: https://brainly.com/question/13911928

Answer:

Bonita shihihihihi

Jsoajwu

Answer:

15.730337078652

Step-by-step e15.730337078652

89 percent (calculated percentage %) of what number equals 14?

Answer: 15.730337078652.

Answer:

Step-by-step explanation:

5)               -7 (-15w + 21) + 3(18 - 27w)

Step 2:        105w - 81w - 147 + 54

6)      

step 3:       24w - 93

Answer:

20%

Step-by-step explanation:

The probability the arrows will land on a consonant and the number 2 is,  10%

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one

Given that;

Elizabeth spins each spinner once.

Hence, Number of outcomes for Alphabets = 5

And, Number of outcomes for numbers = 6

Total consonants are = 3

Thus, The probability the arrows will land on a consonant and the number 2 is,

⇒ 3 / 5 × 1 / 6

⇒ 1 / 10

⇒ 10%

Therefore, The probability the arrows will land on a consonant and the number 2 is, 10%

Learn more about the probability visit:

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#SPJ3

You have to switch the 8 to the left and the y to the right which would change the equation to 9-8=y

y=1

Answer: y =-1

Step-by-step explanation:y =-1

Last option is correct.

Step-by-step explanation:

The given equation is

In order to solve for y, we need to isolate y.

In this equation 9 is added with y and hence in order to eliminate 9 from the left hand side, we do reverse operation of addition.

The reverse operation of addition is subtraction. Hence, we subtract 9 to both sides of the equation

Answer:

b(n) = 15 - 7(n - 1)

Step-by-step explanation:

15 is the y-intercept

-7 is the slope

Answer:

[tex]a_{n}[/tex] = 22 - 7n

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

8 - 15 = 1 - 8 = - 7

This indicates the sequence is arithmetic with explicit formula

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 15 and d = - 7 , then

[tex]a_{n}[/tex] = 15 - 7(n - 1) = 15 - 7n + 7 = 22 - 7n ← explicit formula

Answer:

Alternate Interior Angles

Step-by-step explanation:

Both angles are on the inside on opposite ends.

Answer:

Angle 3 and 6 are alternate interior angles

Answer:y= - 2x + 16

Step-by-step explanation:

Answer:

Definition of exterior lines. : lines of operations of one or more armed forces converging upon a centrally situated opponent.

Step-by-step explanation:

Answer:

Perimeter: 7

Area: 6

Step-by-step explanation:

Perimeter: 3 + 3 + 4 + 4 = 14 /2 = 7

Area: 3 x 4 = 12/2 = 6

Answer:

The answer is 74

Step-by-step explanation:

Since 25 increased to 50, it was multiplied by 2. Youd do the same to 37 so it would be 37×2:)

Step-by-step explanation:

5:2 add to find total ratios 7

opponents=2/7=38

bigtown=5/7=95

Answer: The big town team scored 95 points.

Step-by-step explanation: Given that the big town football  team outscored its opponents 5:2 last season and their opponents scored 38 points.

We are to find the points scored by big town team.

Let 5x and 2x represents the points scored by big town team and their opponents.

Then, according to the given information, we have

2r = 38

r = 38/2

r = 19

Therefore, the points scored by big town team is given by

5 X 19 = 95.

Thus, the big town team scored 95 points.

Answer:

[tex]\frac{n+2}{8}[/tex] has a remainder of 7 ⇒ B

Step-by-step explanation:

In m ÷ n = c + [tex]\frac{r}{n}[/tex] ,

Let us use the facts above to solve the question

∵ [tex]\frac{n}{8}[/tex] has a remainder of 5

→ Let us find the first number divided by 8 and give a reminder of 5

  that means let the quotient = 1

∵ n = (8 × 1) + 5 = 8 + 5

∴ n = 13

∵ [tex]\frac{n+x}{8}[/tex] has a remainder of 7

→ Let us find the first number divided by 8 and give a reminder of 7

  that means let the quotient = 1

∵ n + x = (8 × 1) + 7 = 8 + 7

∴ n + x = 15

∵ n = 13

∴ 13 + x = 15

→ Subtract 13 from both sides

∴ 13 -13 + x = 15 - 13

∴ x = 2

∴ [tex]\frac{n+2}{8}[/tex] has a remainder of 7

Answer:

8302

Step-by-step explanation:

Answer:

1.4=x

Step-by-step explanation:

4-5x-3=0

7-5x=0

+5x   +5x

___________-

7=0+5x

-0   -0

__________

7=5x

÷5   ÷5

__________-

1.4=x

Hope this helps ;D

Answer:

Step-by-step explanation:

Answer:

11/6

Step-by-step explanation:

Answer:

the simplest form is 11/6

Answer:

a,d,b,c

Step-by-step explanation:

The graph is attached below, in which all points are shown.

Two intersecting straight lines used as reference lines in plane know as coordinate axes.

A coordinate point (a, b) represent 'a' as x - coordinate and 'b' as y- coordinate.

Given points are,  [tex](3,9),(9,3),(6,5),(5,6)[/tex]

All points shown in the attached graph below.

Learn more about the coordinate points here:

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