What's the recursive rule for the arithmetic sequence described in the following list? Use the rule to find the eighth term of the sequence.
5, 9, 13, 17, 21

Answers

Answer 1

Answer:

33

Step-by-step explanation:

T8 = A + (8 - 1) d

T8 = 5 + 7d

T8 = 5 + 7(4)

T8 = 5 + 28

T8 = 33

note : d is the common difference gotten from T2 - T1

Answer 2

Answer:

33

Step by step explanation:

Eight term of the sequence = a + 7d

where:

a= first term

d= common difference

first term = 5

common difference = 4

= 5 + 7(4)

= 5 + 28

= 33


Related Questions

A company order two types of games, board and electronic. A shipment
containing 4 board games and 5 electronic games costs $103. A second
shipment containing 5 board games and 3 electronic games costs $80. Find the
cost of the board games and the cost of the electronic games.

Answers

Answer:

C

Step-by-step explanation:

i lied :)

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A car running at a constant speed covers a distance of 492.36 km in
12 hours. Calculate the distance covered by the car in 51/2 hours.​

Answers

Answer:

the anser is 1046.265 because in

492.36=12hour

? =51/2hour then criscros both side 492.36*25,5/12=492.36

A paired t-test can be treated as an inference about the mean of differences between two experimental conditions for a single sample of independent subjects.A. TrueB. False

Answers

Answer:

The statement provided is False.

Step-by-step explanation:

The dependent t-test (also known as the paired t-test or paired-samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.

We use the paired t-test if we have two measurements on the same item, person or thing. We should also use this test if we have two items that are being measured with a unique condition.

For instance, an experimenter tests the effect of a medicine on a group of patients before and after giving the doses.

The statement provided is:

"A paired t-test can be treated as an inference about the mean of differences between two experimental conditions for a single sample of independent subjects."

Thus, the statement provided is False.

List all sets that -1/3 belongs to.

Answers

Answer:

dfffffffff

Step-by-step explanation:

xcdsw23456iu76

What is the equation of a line that is perpendicular to 2x+y=−4 and passes through the point (2, −8) ?​

Answers

Answer:

y=1/2z-9= Perpendicular line

y=-2x-4= parrallel

Step-by-step explanation:

Answer:

y = [tex]\frac{1}{2}[/tex] (x) - 9

Step-by-step explanation:

Set the given equation to standard form: y = -2x -4

Set the slope of the given equation's slope to the reciprocal ( -2 --> 1/2).

Thus, you will have y = 1/2x + b

Insert the given information: (2, -8)

-8 = 1/2 (2) + b

Half of 2 is 1: subtract it on both sides...

-8 = 1 + b

-1    -1      

-9 = b

So, the equation will be y = 1/2(x) - 9

One day Clare runs 4 miles. The next day she
runs 50% of that. How far does she run in total?

Answers

Clare runs 2 miles. 6 miles total. 50% is also 1/2.

Answer:

She runs 6 miles in total.

A taxi company charges $2.25 for the 1st mile and then $0.20 per mile for each additional mile, or F= $2.25+ $0.20 (m-1) where F is the fare and m is the number of miles. If Juan’s taxi fare is $7.65 ,how many miles did he travel in the taxi?

Answers

Answer:

28

Step-by-step explanation:

F=2.25+0.20(m-1)

7.65=2.25+0.20(m-1)

5.4=0.20(m-1)

5.4/0.20=0.20(m-1)/0.20

27=m-1

28=m

The amount of money spent weekly on cleaning, maintenance, and repairs at a large restaurant was observed over a long period of time to be approximately normally distributed, with mean μ = $633 and standard deviation σ = $45.

Required:
a. If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount?
b. How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.16? (Round your answer to the nearest dollar.)

Answers

Answer:

a) 0.4121

b) $588

Step-by-step explanation:

Mean μ = $633

Standard deviation σ = $45.

Required:

a. If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount?

We solve using z score formula

= z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

For x = $646

z = 646 - 633/45

z = 0.22222

Probability value from Z-Table:

P(x<646) = 0.58793

P(x>646) = 1 - P(x<646) = 0.41207

≈ 0.4121

b. How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.16? (Round your answer to the nearest dollar.)

Converting 0.16 to percentage = 0.16 × 100% = 16%

The z score of 16%

= -0.994

We are to find x

Using z score formula

z = (x-μ)/σ

-0.994 = x - 633/45

Cross Multiply

-0.994 × 45 = x - 633

-44.73 = x - 633

x = -44.73 + 633

x = $588.27

Approximately to the nearest dollar, the amount should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.16

is $588

50% of trick or treaters dressed up as a ghosts.
You have seen 33 ghosts. How many trick or
treaters did you see in all?

Answers

Answer:

66

Step-by-step explanation:

50% = 1/2

33 x 2 = 66

Please help!! algebra
Find each value
1. ∛x³
2. 6³
3. 10³

Answers

x
216
1000
Hope it helps:)

The value of 8 in 5.18 is
of the value of 8 in 5.81.

Answers

Answer: This is false.

Step-by-step explanation:

The value of 8 in 5.18 is 8 Hundredths, the value of 8 in 5.81 is 8 Tenths.

what is the meaning of function

Answers

Answer:

A relationship or expression involving one or more variables

Step-by-step explanation:

We have a bag that contains 100 balls, 50 of them red and 50 blue. Select 5 balls at random. What is the probability that 3 are blue and 2 are red?

Answers

Answer:

Likely, I think I havent been in this for a long time so i may be a little rusty. But anyways, I hope this helped!

Step-by-step explanation:

32% is the probability that 3 are blue and 2 are red.

What is probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

We have a bag that contains 100 balls, 50 of them red and 50 blue.

We, Select 5 balls at random.

the probability that 3 are blue and 2 are red = 50C3*50C2/50C5

solving we get,

19600*1225/75287520

=24010000/75287520

=0.32

=32%

Hence, 32% is the probability that 3 are blue and 2 are red.

To learn more on probability click:

brainly.com/question/11234923

#SPJ2

PLEASEEEE HELPPP MEEE :(

Answers

Answer:

Question 5 is B

Because after I simplified I got B and its the only one that makes sense.

By which rule are these triangles congruent?

Answers

Answer:

sss

Step-by-step explanation:

:∫ PLZZ help ;⊃ plz no playing around I need actual answer

Answers

Answer:

d.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

15/10 goes down to 3/2 divide 15 by 5

21/14 goes down to 3/2 divide 21 by 7

B.F. Retread, a tire manufacturer, wants to select one of three feasible prototype designs for a new tire; A, B, C.

Revenues
Low (0.30) Medium (0.50) High (0.20)
A 120,000 255,000 390,000
B 130,000 295,000 460,000
C 100,000 300,000 480,000

Required:
Calculate the highest value you would pay for a highly reliable forecast.

Answers

Answer:

c

Step-by-step explanation:

write 3 numbers that make this inequality true: x>4​

Answers

Answer:

8, 10, 24

(Basically every number above 4)

Answer:

5,6 and 7

> means more than or greater than.

In this situation, its asking for numbers greater than 5.

Hope this helps. ;)

Write the slope intercept form of the equation of the line through the given point with the given slope

Through: (-2,1), slope = -3

Answers

Slope form: y= mx + b
Plug it in: y = -3x + b
1 = -3(-2) + b
1 = 6 + b
b = -5
Final equation: y = -3x -5

I'll braintlist!!!
Find the value of each expression in lowest terms:


1/6 X 11/4

11/5 X 1/3

14/3 X 1/5

5/3 X 2/5

3/4 X 8/9

5/2 X 2/7

Answers

11/24
11/15
14/15
2/3
2/3
5/7
hope this helps!!!

Add the two expressions.

3z−4 and 2z + 5


I need it asap please help!

Answers

Answer:

3(1)-4=-1 2(1)+5=7

Answer:

5z+1

Step-by-step explanation:

it was simple

Give the slope between the points
(-2,3) (-5, -9)

Answers

m = (-9 - 3) / (-5 - -2)
m = -12 / -3
m = 4

The slope is 4.
the slope is 4. i hope this helped:)

I have $10 my mom gave me $30 my dad gave me $30 my aunt and uncle gave me $100 but I had another $10 so how much do I have

Answers

Answer:

$180

Step-by-step explanation:

10+30+30+100+10=180

You have 180


The reason:if you add 10+30=40 then 30+10=40 then 40+40=80 last 100+80=180

Please help!
Thanks in advance.

Answers

Answer:

y = (1/4)x + 5/2

Step-by-step explanation:

The lines slope needs to be opposite of the equation's so its positive (1/4)

This is the only slope listed that is that number so no need to calculate for the y value!

Vocabulary How can you tell when an equation in one variable has infinitely many solutions or no solution? When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You also will end up with a true statement for an equation with infinitely many solutions. When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will also end up with a false statement for an equation with infinitely many solutions. When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions. When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You will end up with a false statement, like 0 = 2 for an equation with infinitely many solutions.

Answers

Answer: Choice C) When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions.

For example, let's say we had the equation x = x+2. Subtracting x from both sides leads to 0 = 2 which is a false statement. No matter what we replace x with, the equation x = x+2 is always false. That's why we don't have any solutions here.

For an equation like x + 2 = x + 2, subtracting x from both sides leads to 2 = 2 which is always true. A true equation is one where the same number is on both sides. No matter what we replace x with, the equation will be true. Therefore, there are infinitely many solutions.

To tell when an equation in one variable has infinitely many solutions or no solution;

When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution.

You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions.

The condition for an equation with no solution warrants that the equation upon evaluation yields a false statement as in the case of 1 = 2. In this case, such an equation has no solution.

The condition for an equation with infinitely many solutions warrants that the equation upon evaluation yields a true statement as in the case of y + 5 = y + 5. In this case, such an equation has infinitely many solution.

Read more;

https://brainly.com/question/11966980

pattern 60 52 44 36​

Answers

Decreasing by 8 each time

why is earth known as diatomaceous Earth​???
From biology

Answers

Answer:

Diatomaceous earth is made from the fossilized remains of tiny, aquatic organisms called diatoms. Their skeletons are made of a natural substance called silica. Over a long period of time, diatoms accumulated in the sediment of rivers, streams, lakes, and oceans. Today, silica deposits are mined from these areas.

HELPP!! ITS A LOT BUT YOU GET POINTS!

Answers

Answer:

To hard me brain go BOOM

Step-by-step explanation:

lol sorry i cant

The data below shows the duration of eruption (in seconds) of a geyser in a national park and the height (in feet) of the eruptions for a typical day. Use Excel to find the best fit linear regression equation, where duration of eruption is the explanatory variable. Round the slope and intercept to one decimal place.Duration Height240 140237 154122 140267 140113 160258 140232 150105 150186 160248 155243 125241 136214 140114 155272 130227 125237 125238 139203 125270 140218 140226 135250 141245 140120 139267 110103 140270 135241 140239 135Provide your answer below:y = _x + _

Answers

Answer:

ŷ = -0.08522X + 157.7779

The slope = - 0.1

Intercept = 157.8

Step-by-step explanation:

Given the data :

Duration __ Height

240 140

237 154

122 140

267 140

113 160

258 140

232 150

105 150

186 160

248 155

243 125

241 136

214 140

114 155

272 130

227 125

237 125

238 139

203 125

270 140

218 140

226 135

250 141

245 140

120 139

267 110

103 140

270 135

241 140

239 135

General regression equation :

y = mx + c

Where

y = predicted variable

x = predictor / explanatory variable

m = slope or gradient

c = Intercept

The regression equation obtained ;

ŷ = -0.08522X + 157.7779

To one decimal place :

ŷ = -0.1X + 157.8

The slope = - 0.1

Intercept = 157.8

Y=2x^3 linear or nonlinear

Answers

Answer: linear

Step-by-step explanation:

Answer:

LINEAR...................

Step-by-step explanation:

y=2x−3 is in slope intercept form for a linear equation, y=mx+b , where m is the slope and b is the y-intercept. The y-intercept is the point at which x=0 and y=−3 , which is point (0,−3) You can plot this point on your graph. The slope is can be described as riserun , and can be written as 21 . Start at (0,3)

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