what is the fifth term of the linear sequence which begins 20, 14, 8

Answers

Answer 1

Answer:

The fifth term is -4

Step-by-step explanation:

The sequence has a common difference therefore, it is an arithmetic sequence

The formula for arithmetic sequence is

[tex]an = a1 + (n - 1)d[/tex]

where,

an is the nth term,

a1 is the first term,

n is the term number and

d is the common difference

Find the 5th term.

an = a1 + ( n-1 ) d

a5 = 20 + ( 5-1 ) -6

a5 = 20+ ( -24 )

a5 = -4


Related Questions

how do i solve for this?

Answers

For one set the two equations equal to eachother and solve from there. 2 is 45
For three set the two equations equal. Same for four

Will give brainliest if you answer fast

What is the equation
y=____ x + ____

Fill in the missing number with the graph

Answers

The answer should be Y=1/2x-3

Which of the following rational functions is graphed below?

Answers

Answer:

Option C

Step-by-step explanation:

According to the graph, there are vertical asymptotes at [tex]x=-3[/tex] and [tex]x=7[/tex]. Therefore, C is correct because -3+3=0 and 7-7=0.

Anybody can help? (Here's a pfp)

Answers

First make a guest check

My Guest check #9

1 donut = $1.29

Donut holes = $4.89

Dozen Donuts = $12

Donut Holes = $4.89

$1.29 + $4.89 + $12 + $4.89 = $23.07

$23.07 * 8% = $24.92 is the 9th check list

My Guest check #10

1 donut = $1.29

1 donut = $1.29

Dozen Donuts = $12

Donut Holes = $4.89

$1.29 + $1.29 + $12 + $4.89 = $19.47

$19.47 * 8% = $21.03 is the 10th check list

-7(-2 ( 3x+1)+ 4) +9​

Answers

Answer:

correct answer is explained in the picture attached

f (x) = 6x + 4. Find the inverse of f(x).
O A. f-1 (2) = 4 - 6x
O B. f-1(x) = 6x - 4
O c. f-(x) =
O D. f-'(x) = 20
2-4
-6

Answers

If [tex]f^{-1}(x)[/tex] is the inverse of f(x), then

[tex]f\left(f^{-1}(x)\right) = x[/tex]

By definition of f(x), we have

[tex]f\left(f^{-1}(x)right) = 6f^{-1}(x) + 4 = x[/tex]

Solve for the inverse :

[tex]6f^{-1}(x) + 4 = x[/tex]

[tex]6f^{-1}(x) = x - 4[/tex]

[tex]f^{-1}(x) = \dfrac{x-4}6[/tex]

which makes C the correct choice.

is 8.5 greater than 0.85?

Answers

Answer:

Yes, 8.5 is greater than 0.85

Step-by-step explanation:

In counting from 0 to the highest possible positive number in steps of 0.01, we come across 0.85 before 8.5. This means that 8.5 is greater than 0.85

Identify an equation in point-slope form for the line parallel to y = -
2/3x+8 that passes through (4, -5).

A. y-4=(x+5)
B. y+5=2/3 (x-4)
C. y+5 = 3/2(x-4)
D. y-5=-2/3(x + 4)

Answers

It wouldn’t be any of those- because its in point-slope form ( y-y1=m(x-x1) ) the slope is -2/3, then the -5 (y) turns to +5 because there’s 2 negatives- since the x is positive it stays subtraction

The Correct equation would be y+5=-2/3(x-4)

Hope that helps :)

100 divided by 16.4 as a fraction

Answers

Answer:

25/4.1 or 6 and 2/5

Step-by-step explanation:

I can simplify both 100 and 16.4 by 4, so: 100/16.4=25/4.1

Because this is an improper fraction, I simplify it to: 6 and 2/5

Ashton is 3 times the age of Jason. Ashton is 6 years older
than Nolan. Jason is 7 years old. How old is Nolan? Explain

Answers

Answer:

nolan is 15,

Step-by-step explanation:

3*7=21-6=15

solution:

age of Jason is 7

and Ashton is 3 times age of Jason=7*3=21

Nolan age=21-6=15

therefore the age of Nolan is 15 years

Write an equation in slope-intercept form of the line that passes through (−1, 4)​ and (0, 2)​

Answers

[tex]\text{Given that,}\\\\(x_1,y_1) = (-1,4), ~~ (x_2,y_2) =(0,2)\\\\\\\text{Slope,}~ m =\dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{2-4}{0-(-1)} = \dfrac{-2}{0+1} = -2\\\\\text{The equation with given points,}\\\\y-y_1 =m(x-x_1)\\\\\implies y -4 = -2(x+1)\\\\\implies y = -2(x+1)+4\\\\\implies y = -2x -2 +4\\\\\implies y = -2x +2\\\\\text{This is the slope-intercept form(y =mx +b)}[/tex]

Carlos is going on a boat tour. The boat will travel a total distance of 35 kilometers during the 7-hour tour.
If the boat travels at a constant speed during the tour, what distance in kilometers should the boat travel in 3 hours?

Answers

35 kilometers in 7 hours would be 7/35 which is 5 kilometers an hour, in 3 hours it would be 15 kilometers

pls help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

2 dashes to the left

Step-by-step explanation:

just plot a point two dashes to the left

Here is the answer to your question

There are 9 3/5 pounds of bricks in the bag each brick weights 1 1/5 pounds ? How many bricks are in the bag

Answers

Answer:

there are 6 bricks in th ebag

Step-by-step explanation:

6 bricks in the bag.....

please help ill mark brainliestO​

Answers

Answer:

AA, SAS, SSS

Step-by-step explanation:

These three theorems can be used to find similar triangles.

The population of a town gradually decreases by about 30
people a year. In 2015, the population was 3,600 people. Write an equation in general form for the population of this town .

Answers

it would be 3,600 - 30 = 3570

n applicant receives a job offer from two different companies. Offer A is a starting salary of $58,000 and a 3% increase for 5 years. Offer B is a starting salary of $56,000 and an increase of $3,000 per year.

Part A: Determine whether offer A can be represented by an arithmetic or geometric series and write the equation for An that represents the total salary received after n years. Justify your reasoning mathematically. (3 points)

Part B: Determine whether offer B can be represented by an arithmetic or geometric series and write the equation for Bn that represents the total salary received after n years. Justify your reasoning mathematically. (3 points)

Part C: Which offer will provide a greater total income after 5 years? Show all necessary math work. (4 points)

Answers

The amount provided by each offer after each year depends on the first

salary and the added amount or percentage series.

Part A: Offer A can be represented by a geometric seriesThe salary received after n years is Aₙ = 58,000·1.03⁽ⁿ ⁻¹⁾

Part B: Offer B can be represented by an arithmetic seriesThe equation for the salary after n years is Bₙ = 58,000 + (n - 1)×3,000

Part C: The offer that will provide a greater income after 5 years is offer B, with an income of $70,000

Reasons:

The given parameters of the job offers are;

Starting salary of offer A = $58,000

Amount by which the salary increases for 5 years = 3%

The starting salary offer B = $56,000

Amount by which the salary increases per year = $3,000

Part A: The salary amount received in the first month = $58,000

The salary in the second month, aₙ = 58,000 × (1 + 0.03)

a₂ = 58,000 × (1 + 0.03) = 58,000 × (1.03)

The salary in the third month is given as follows;

a₃ = a₂ × (1.03) = 58,000 × (1.03) × (1.03) = 58,000 × (1.03)²

The salary on the nth month is therefore;

aₙ = 58,000 × (1.03)⁽ⁿ⁻¹⁾

The above formula is in the form of the geometric series formula, which is presented as follows;

aₙ = a·r⁽ⁿ⁻¹⁾

Where;

a = The first term = 58,000

r = The common ratio = 1.03

n = The number of years

Therefore;

Offer A can be represented by an arithmetic series

Part B: The first year salary for offer B = $58,000

The salary on the second year, B₂ = 58,000 + 3,000 = 61,000

Salary on the third year, B₃ = 58,000 + 3000 + 3000 = 58,000 + 2 × 3,000

Therefore;

Salary on the nth year, Bₙ = 58,000 + (n - 1)×3,000

The above equation is in the form of aₙ = a + (n - 1)·d

Where;

a = The first term = 58,000

n = The number of years

d = The common difference = 3,000

Therefore;

Offer B can be represented by an arithmetic series

Part C: The income gained on offer A after 5 years, a₅, is given as follows;

a₅ = 58,000 × (1.03)⁽⁵ ⁻ ¹⁾ = 58,000 × 1.03⁴ ≈ 65,279.51098

The income gained on offer A after 5 years ≈ $65,279.51098

On offer B, we have;

a₅ = 58,000 + (5 - 1) × 3,000 = 70,000

The income gained on offer B after 5 years = $70,000

Therefore;

After 5 years, the income offered by offer B is greater than the income offered by offer A.

Learn more about arithmetic and geometric series here:

https://brainly.com/question/2735005

Express as a trinomial.
(x + 6) (2x + 8)

Answers

Answer:

2x² + 20x + 48

Step-by-step explanation:

(x+6)(2x+8)

(x)(2x) + (x)(8) + (6)(2x) + (6)(8)

2x² + 8x + 12x + 48

2x² + 20x + 48

Find the slope of the line passing through the points (3,-1) and (3, -6).

Answers

Answer:

Undefined

Step-by-step explanation:

Slope formula:

y2-y1/x2=x1

In (3,-1), 3 is x1 and -1 is y1

In (3, -6), 3 is x2 and -6 is y2

-6-(-1)/3-3

Which is -5/0

And that couldn't happen in a slope

So the answer is undefined

Hope this helps!

?/5 =8/10 type the missing number that makes this fraction equal

Answers

Answer:

4/5 = 8/10

Step-by-step explanation:

x/5 = 8/10

x = 8/10 × 5

x = 4

Helpppppppppp plsssssss

Answers

Answer: You didnt give the 2 equations.

Step-by-step explanation:

Oh yeah what he said

What is the area of a parallelogram with base 40 mm and height 18 mm?

Answers

Answer:

  720 mm²

Step-by-step explanation:

The area of a parallelogram is given by the formula ...

  A = bh

For the given base and height, the area is ...

  A = (40 mm)(18 mm) = 720 mm²

Prime number after

167, 118, 82, 57, 41, ?

Answers

Prime numbers after 167, 118, 82, 57, 41, are:

37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2

Prime numbers are numbers that only have two factors, 1, and themselves.

Apart from these factors, no number can divide them without a remainder.

By observation, the numbers 167, 118, 83, 57, 41, are written in descending order.

This means that the prime number to be chosen will be lesser than 41

Prime numbers lesser than 41 are:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37

Learn more on prime numbers here: https://brainly.com/question/145452

Simplify the expression.
7- 5n + n + 5

Answers

-4n+12

Explanation-
Like terms

In an economics class, 4 students earned an A, 6 earned a B, 5 earned a C, 5 earned a D, and 3 earned an F. If a single student is picked at random, what is the probability that they earned an B or C?

Provide your answer as a simplified fraction.

Answers

Answer:

11/23

Step-by-step explanation:

B = 6

C = 5

6+5=11

11/23

Joseph is going to paint the panels of a fence. He is going to use the same repeating pattern for the entire fence. The rule is "orange, yellow, pink, green, purple." If there are 98 panels in the fence, how many will be painted green? Enter your answer in the box.

Answers

19 times Answer:

Step-by-step explanation:

The required number of panels that were painted to be green is 19.


Joseph is going to paint the panels of a fence. He is going to use the same repeating pattern for the entire fence. The rule is "orange, yellow, pink, green, purple." If there are 98 panels in the fence, how many will be painted green is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Pattern =  "orange, yellow, pink, green, purple."

                      1               2        3       4            5
Total number of panels = 98
Number of panels that were painted green,
= 98 / 5
= 19 + 3/5
In the 19 pattern, there are 19 panels that is green,
While in the remaining 3 panels consist of orange, yellow, and pink.

Thus, the required number of panels that were painted to be green is 19.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

A farm lets you pick 3 pints of raspberries for $12.00

Answers

do you want me to find the answer or something because ur just doing something and not saying what to do with it

A scuba diver wants to dive more than 2/12 times her previous deepest dive. That means she has to dive at least 70 feet below the surface of the ocean. This dive is represented by the inequality 2/12p<−70, where p is the distance below the surface of her previous deepest dive.


Select from the drop-down to correctly interpret the solution of this inequality.


The scuba diver's previous deepest dive was

Choose...

feet below the surface of the ocean.

Answers

The distance below the surface of her previous deepest dive is 420 feet

Given the inequality expression representing the dive given as:

2/12p<−70

We are to get the solution to the inequality expression;

Given;

2/12p<−70

Multiply both sides by 12:

2p < 70 * 12

2p < 840

Divide both sides by 2

2p/2 < 840/2

p < 420

Hence the distance below the surface of her previous deepest dive is 420 feet

Learn more on inequality here: https://brainly.com/question/22354790

Answer:

2 1/2p<-70

the answer is deeper than 28

Step-by-step explanation: I took the test

what is the value of the 6 in 26,249?

Answers

Answer:

what is the value of the 6 in 26,249?

answer:321305

Step-by-step explanation:

is 7 a solution to 21-w<14?
(please answer asap!)

Answers

Answer:

no

Step-by-step explanation:

well, is 21-7 < 14?

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