Consider a geometric sequence with a first term of 4 and a fourth term of -2.916.
a) Find the common ratio of this sequence.
b) Find the sum to infinity of this sequence.

Answers

Answer 1

Answer:

a) Find the common ratio of this sequence.

Answer: -0.82

b) Find the sum to infinity of this sequence.

Answer: 2.2

Step-by-step explanation:

nth term in geometric series is given by [tex]4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{0.549} \\r = 0.82[/tex]

where

a is the first term

r is the common ratio and

n is the nth term

_________________________________

given

a = 4

4th term = -2.196

let

common ratio of this sequence. be r

[tex]4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{-0.549} \\r = -0.82[/tex]

a) Find the common ratio of this sequence.

answer: -0.82

sum of infinity of geometric sequence is given by = a/(1-r)

thus,

sum to infinity of this sequence = 4/(1-(-0.82) = 4/1.82 = 2.2


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MATH 2 HELP PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

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Answer:

Vertical stretch of 2

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Given f(x)=2x+1, find the range value if the domain value is 1.75. *

Answers

Answer:

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Step-by-step explanation:

Domain means that value of x and range means the value of f(x) so

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so the range value is 4.5

12 cups equal:
A. 3 gallons
B. 6 quartz
C. 2 gallons
D. 24 quartz
E. 6 pints

Answers

Answer:

6 pints

Step-by-step explanation:

I just asked Alexa

6 pints

12 cups equals 6 pints

8x + 4.3= 2(x+6) + 6x - 7.7​

Answers

Answer:

Step-by-step explanation:

8x=2x+12+6x-7.7-4.3

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Example : If x=4

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It will be nice if you give me brainliest.Good luck!

TBH I don't know what grade it is but who ever answers this is gonna get brainlest. The question is if Jonny had a coupon for a 74% off and he got something for $259 how much will he have to pay.​

Answers

$67.34. if you multiply the total amount of money he has (259) by the percentage of (74) you will get (19,166). you then will divide the total by (100). which then gives you ($191.66) that will be given off. so you then subtract the total of money he has (259) by (191.66) which will give you (67.34). he will be paying ($67.34).

If the linear regression is y = 5.21 + 0.35x, what is the value of the slope?

Answers

Answer:

Slope is 0.35

(O, 5.21)

Step-by-step explanation:

Use y= m x + b

Y=0.35 + 5.21

Juan has a bottle with 50 liters of Power Aid in it. He is going to divide the Power Aid evenly between 8 of his friends after football practice. How m
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B 400 liters
C 6.25 liters
D 12.5 liters

Answers

C 6.25 litres as 50/8 = 6.25

Answer:

C. 6.25 liters

Step-by-step explanation:

50 ÷ 8 = 6.25

sum of two integers is -30 if one of them is 15 find the other integer pls urgent will mark u the brainliast​

Answers

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Answer:

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Step-by-step explanation:

Sum of two integers = -30

one of them = 15

let another number be 'x'

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so the other number is -45

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Answers

Answer:

f

1

(

x

)

=

x

3

Step-by-step explanation:

1. Ms. Fox asked her class “Is the sum of 4.2 and √2 rational or irrational?” Patrick answered that the sum would be irrational. State whether Patrick is correct or incorrect. Justify you reasoning.

Answers

Answer:

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Step-by-step explanation:

Answer:

Step-by-step explanation:

The sum doesn’t terminate or repeat

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Answers

Answer:

there should be 4 plates per stack

Step-by-step explanation: hope this helps

Answer:

4 stacks of plates

Step-by-step explanation:

20 divided by 5 is eqaul to the amount of plates per stack, which is 4

Plsss help, will reward brainliest!!! Thank you.



Look at picture^^^

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Answer:

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Step-by-step explanation:

Tyler looks at a map on his phone. He zooms in until the map scale for centimeters to kilometers is 0.3 to 1/5. How many centimeters does the map use to show 1 kilometer?

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one kilometer is equal to a hundred thousand centimeters

Ms. Morgan bought 3.5 pounds of bananas at $0.54 a pound. If she paid with a $10 bill, how much change will she receive? just the bananas just curious cause im dumb as heck

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Answer:

$8.11

Step-by-step explanation:

Answer:8.16$

Step-by-step explanation:

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Answer:

B

Step-by-step explanation:

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Convert 8 ounces into grams. Round your answer to the nearest whole number.

Answers

Answer:

227 g

Step-by-step explanation:

it would be 226.8 g

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what is 1,935,825 in scientific notation ?

Answers

answer:1.935825×10 to the sixth power

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First to awnser will the question correct will get brainlyist
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Answers

Answer:

-49%

Step-by-step explanation:

i know this one by doing a long math formula

Answer:

49.0%

Step-by-step explanation:

take the 2 numbers and find the difference

51 - 26 = 25

take the difference and divide it by the orginal number

25÷51 = 0.49019607843

then times that number by 100

(25÷51) × 100 = 49.0196078431

so the number was decreased by 49.0 %

Which represents the solution set to the inequality 5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)?


Answers

Answer:

The answer is x > -2.5 or (-2.5,infinity)

Step-by-step explanation:

Solve each of these equations.

3(n+2)=9(6-n)

Answers

Answer:

n= 4

Step-by-step explanation:

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Answer:

4

Step-by-step explanation:

3n+6=54-9n

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The Tucker family had a meal catered for wedding anniversary dinner. Th cost of the dinner was $489 they had a coupon for 10% off and there was a 5% sales tax what was the total cost including the discount and sales tax nearest cent

Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

trust me

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D

Step-by-step explanation:

what temperature is 12%C hotter than 16%C

Answers

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If bill walked 12 feet and Jackson walked 1/4 more than that how many feet did Jackson walk

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Answer:

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Step-by-step explanation:

its kinda hard to explain for me, but thats the answer :)

Three out of five students in Mrs. Bishop's class play chess. What percentage of students in her class play
chess?

Answers

Answer:

60%

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

Use the diagram of trusses for a railroad bridge.

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You should take off E and add C and D because perpenidcular bisector means not only does it form a right angle to the line, it also bisects it, or cuts it into 2 equal portions. Also, If you look at triangles BED and BEF, they are congruent as both have right angles and equal sides BE, and DE = EF. So, BD = BF.

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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WILL GIVE BRAINLIST

Samuel drove 28 miles in 32 minutes. Beverly drove 42 miles in 48 minutes.

Are the ratios of miles to minutes for Samuel and Beverly proportional?

Drag and drop to correctly complete the statement.

Answers

= Ratio of minutes to miles in which Samuel drove = 28 : 32

= Ratio of minutes to miles in which Beverly drove = 42 : 48

To find whether the time they drove and the distance they covered were proportional or not , let us first change them into a fraction and then simplify them .

= 28 : 32 = 28/32

= 28/32

Both the numerator and the denominator is divisible by 4 .

= 28 ÷ 4 / 32 ÷ 4

= 7/8 = 7 : 8

Samuel = 7 : 8

Beverly = 42 : 48 = 42/48

= 42/48

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= 42 ÷ 6 / 48 ÷ 6

= 7/8

Therefore, the ratio of miles to minutes drove by Samuel and Beverly is proportional , 7:8 :: 7:8

Answer:

7:8 7:8

Step-by-step explanation:

if you subtract 28 from 42 and subtract 32 from 48 then you get 14-16. then double it and you get 28-32 then add 14-16 to those again and you get 42-48. because they add up and are equal, take 14-16 and simplify it to 7:8.

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