What is the value of r of the geometric series?

Sigma-Summation Underscript n = 1 Overscript 3 EndScripts 1.3 (0.8) Superscript n minus 1

Answers

Answer 1

Answer:

A) 0.8

Step-by-step explanation:

0.8 on edge.

Answer 2

The value of r of the geometric series is 4/5.

What is geometric series?

The geometric series defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.

The nth term of a geometric progression is expressed as

Tₙ = arⁿ⁻¹

Where a is the first term, r is the common ratio

Given the formula for the geometric series expressed as

[tex]_3\\\sum{1.3(0.8)^n^-^1}\\n=1[/tex]

Comparing both equations

rⁿ⁻¹  =  (0.8)ⁿ⁻¹

r = 0.8

r = 8/10

r = 4/5

Hence, the common ratio is 4/5.

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Related Questions

The length l of a 200-square-foot rectangular vegetable garden is 4 feet less than twice the width w. Find the length and width of the garden.

Answers

Answer:

L=18.1, W=11.0

Step-by-step explanation:

Line___is a transversal.

Answers

Answer:

C

Step-by-step explanation:

Line A is Parallel to Line B

Line C intersects Line A and B

Answer:

line C

Step-by-step explanation:

what does 108 × 1/3 equal?​

Answers

Answer:

It would be 36

Explanation:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

108/1 ×1/3

Applying the fractions formula for multiplication,

=108×1/1×3 = 108/3

Simplifying 108/3, the answer is

=36

hope it helped. :)

The following are the last 10 run scores Colin got in cricket:
23, 20, 4, 19, 28, 35, 25, 0, 1, 30
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 35 runs.
What is his new mean score?

Answers

Answer:

a)18.8

Step-by-step explanation:

Basically, you have to add all the numbers from the data set (188) then divide them by 10 and that equals 18.8

The second part you have to add 32 to 188 ( which equals 210) and that by 11 which equals 20

For parallelogram ABCD, find the value of x

Answers

3x+20=5x-12
3x+20+12=5x-12+12
3x+32=5x
3x-3+32=5x-3
32=2x
32/2=2x/2
16=x
reflexive property of equality
x=16

Answer:16

Step-by-step explanation:

Seven more than two times a certain number is 181. Find the number

Answers

Answer:

87

Step-by-step explanation:

181-7=174

174/2=87

Help me pls I don’t want to fail math

Answers

Answer: They are proportional.

Explanation: To determine whether a table is proportional just simply notice if there is a number you can get to the next number.

Example: on the x values you multiply from left to right by 2 and get the next number. on the y values you multiply by 1. This table is proportional

PLS HELP I’LL MARK BRAINLIEST!!! ALSO THE ANSWER IS NOT 118!

Answers

Answer:

B. 128

Step-by-step explanation:

so the sum of the interior angle is 180

180 - 76 is 104

since both sides are the same divide 104 with 2 to get 52

to find x = 180 - 52 = 128

x-1=y what is the answer plz give me the answer

Answers

Answer:

X = 0Y = 1

First of all, observe that this is a line, since you can rewrite the equation as y−x+1=0 , which follows the pattern of the generic line ax+by+c=0 .

To draw a line you need two of its points, which you can connect.

To find two points, you can plug any value for one variable, and solve for the other.

For example, let's choose

x=0 . The equation becomes

0−1=y , and so y=−1 .

The first point is thus (0,−1).

Then, let's choose

x=1 . The equation becomes 1−1=y , and so y=0 . The first point is thus

(1,0).

Now you only need to draw the points

(0,−1)

Step-by-step explanation:

Hope it is helpful...

Which one of the following are rational numbers?
8
0
10/3
7

Answers

Answer:

eight and zero...

Step-by-step explanation:

hope I help

The line plot above shows the height of the baby giraffes at the zoo. What is the difference in height (in inches) between the shortest and the tallest baby giraffes?​

Answers

Answer:

3.5 inches

Step-by-step explanation:

Height of tallest baby giraffe = 42.75 inches

Height of shortest baby giraffe = 39.25 inches

Difference in height between the tallest and the shortest baby giraffes = 42.75 - 39.25 = 3.5 inches

Oliver said, "To the nearest hundred, I’ve attended drama club for 900 days of my life!” Write three numbers that could be the actual number of days Oliver has attended drama club.

A. 743, 970, 933

B. 870, 933, 780,

C. 780, 849, 761,

D. 867, 870, 933

Answers

the answer is D dnsgkstbranat

On a certain map 4 inches represents 26 miles. What distance does 11 inches represent?

Answers

11 inches represents 71.5 miles

Determine which of the following words best describes the underlined word(s) in the context.
The President of a mobile phone manufacturer wants to know what color mobile phone users prefer. The company sells mobile phones throughout the world. There are 5.16 billion unique mobile phone users in the world. A Statistician for the manufacturer conducts a random sample of 1,000 mobile phone users throughout the world and from the sample determines that 23.6% prefer white and 34.6% black.
variable, population, statistic, sample, data, parameter

Answers

Answer:

Population - All 5.16 billion mobile phone users

Sample - subset of 1000 chosen from 5.16 billion

Variable - white and black mobile preference

Parameter - statistical characteristics of the population

Statistic - statistical characteristic of the sample ; 23.6% white preference ; 34.6 black preference

Data - facts and figures gathered for the study

Step-by-step explanation:

The population is the total observations who fit into a certain area of interest.

Sample refers to subset of the population which is meant to be representative of the larger population.

Variable refer to groups of characteristics with relates to observations within a dataset.

Parameter - statistical characteristics of the population

Statistic - statistical characteristic of the sample

Data - facts and figures gathered for the study

which graph represents exponential decay​

Answers

The top one. Exponential decay means going down very quickly, like a steep line.

Exponential growth is going up, by the way.

Shrina has read 10% of the books that are in the library. She has now read 327 books.

How many books are there in the library?

Answers

134 hope I helps with ur problem

Omg Plzzzzz helpppp!!!!!

Answers

Answer:

D

Step-by-step explanation:

[tex]-5+2(7b+6)\geq 10b+7(1+11b)\\-5+14b+12\geq 10b+7+77b\\70b\leq 0\\b\leq 0[/tex]

What is the initial value of the exponential function
represented by the table?
-2
1
3
-1
1
4
0
1
2
1
1
1
2
2

Answers

Answer:

o943

Step-by-step explanation:

What does circumference mean?


Distance around a circle


Space a circle takes up


Line from one side of a circle to another


Line from center of circle to side

Answers

Answer: Distance around a circle
are you in college?

4. A varies directly as r. If A = 12, when r = 2, calculate:
a) the value of A, when r=5

Answers

Answer:

The value of A ,when r=5 then A = 14

A varies directly to r means that A= kr
Substitute the given value : 12 = 2(k) —> k=6
Eqn : A=6r
When r=5,A= 6(5)= 30 thus A= 30

Roger is 71.5 inches tall. How many centimeters tall is she?
1 inch = 2.54 cm
Do not use a label - just numbers.

Answers

Answer:

181.61 centemeters

Step-by-step explanation:

Answer:

181.61

Step-by-step explanation:

Make a proportion:

1 inch = 2,54 cm

71,5 inches = x cm

x = 71,5 * 2,54 = 181,61 cm

Yesterday, there were 80 problems assigned for math homework. Jenna did 45% of them correctly. How many problems did Jenna get right?

Answers

Answer:

36 questions was answered correctly

Step-by-step explanation:

80 x .45 = 36

Hope this helps

Have a great day :D

What is the value of 3 in the figure shown below?
с
4.3
D
61
3
3
53
A
4.3

Answers

9514 1404 393

Answer:

  66

Step-by-step explanation:

Angle D (x°) is the same measure as angle A. The measure of angle A is that required to make the total of angles in ΔABC be 180°.

  ∠A = 180° -61° -53° = 66°

The value of x is 66.

Y=-2x+6 what is the y intercept

Answers

Answer:

the Y intercept is 6

Step-by-step explanation:

the Y intercept of a linear equation like that equation

any equation formed as: y=mx+b

B of the equation would always be the Y intercept

The y-intercept of the equation y = -2x + 6 is 6. It means that the line intersects the y-axis at the point (0, 6), where the y-coordinate is 6.

In the equation y = -2x + 6, the y-intercept represents the value of y when x is equal to zero.

To find the y-intercept, we substitute x = 0 into the equation:

y = -2(0) + 6

y = 0 + 6

y = 6

Therefore, the y-intercept of the equation y = -2x + 6 is 6. It means that the line intersects the y-axis at the point (0, 6), where the y-coordinate is 6.

To know more about coordinate:

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The population of a certain species of insect is given by a differentiable function P, where P(t) is the number of insects in the population, in millions, at time t, where t is measured in days. When the environmental conditions are right, the population increases with resect to time at a rate that is directly proportional to the population. Starting August 15, the conditions were favorable and the. population began increasing. On August 20, five days later, there were an estimated 10 million insects and the population was increasing at a rate of 2 million insects per day.

Required:
What is the differential equation that models this situation?

Answers

Answer:

[tex]\frac{dP}{dt} \ =\ \frac{1}{5}P[/tex]

Step-by-step explanation:

Given

Variation: Directly Proportional

Insects = 10 million when Rate = 2 million

i.e. [tex]P = 10\ million[/tex] when [tex]\frac{dP}{dt} = 2\ million[/tex]

Required

Determine the differential equation for the scenario

The variation can be represented as:

[tex]\frac{dP}{dt} \ \alpha\ P[/tex]

Which means that the rate at which the insects increase with time is directly proportional to the number of insects

Convert to equation

[tex]\frac{dP}{dt} \ =\ k * P[/tex]

[tex]\frac{dP}{dt} \ =\ kP[/tex]

Substitute values for [tex]\frac{dP}{dt}[/tex] and P

[tex]2\ million = k * 10\ million[/tex]

Make k the subject

[tex]k = \frac{2\ million}{10\ million}[/tex]

[tex]k = \frac{2}{10}[/tex]

[tex]k = \frac{1}{5}[/tex]

Substitute [tex]\frac{1}{5}[/tex] for k in [tex]\frac{dP}{dt} \ =\ k * P[/tex]

[tex]\frac{dP}{dt} \ =\ \frac{1}{5}* P[/tex]

[tex]\frac{dP}{dt} \ =\ \frac{1}{5}P[/tex]

plz help me this is 7th grade math

Answers

Answer:

6, 19, 23?  girl im in 7th and i didnt learn this yet

Step-by-step explanation:

I need help with math problem: 5(2x+6)

Answers

Hey there!

5(2x + 6)

= 5(2x) + 5(6)

= 10x + 30

Answer: 10x + 30 ☑️

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

10x + 30

Step-by-step explanation:

When there is a number before parenthesis it means we have to multiply, so we will apply the distribution property.

5(2x) + 5(6)

Then we just multiply

10x + 30

Because we do not know the value of "x" we will leave it like this.

Hope it was helpful ;)

The shaded area on the grid represents the part of a rectangular wall that was painted. Each small square on the wall has the same dimensions. What percentage of the wall was painted?

Answers

Answer:

68

Step-by-step explanation:

There are total of 5*5 = 25 rectangles on the wall. 17 of these are painted.

17 / 25 = 17*4 / 100

17 * 4 =  68

Answer 68%

Step-by-step explanation:

Solve.

5t ≤ –15


a. t ≤ 3


b. t ≥ 3


c. t ≤ –3


d. t ≥ –3

Answers

Answer:

c. t ≤ –3

Step-by-step explanation:

HELP ME PLEASE The roots of a quadratic equation can be found using the graph what are the roots of these equations?

Answers

Answer:
(-1,4)
Explanation:
On the left if you estimate it brings to a -1 and on the right if you count boxes bring to a 4
Hope its correct

Answer:

the roots of this quadratic expression are: x = -1 and x = 4

Step-by-step explanation:

You need to find at which x-values the graph crosses the x-axis (this is when y = 0, and therefore the roots of the quadratic equation represented via the graph).

In our case notice that the graph crosses the x-axis at the points:

x = -1 (on the left), and x = 4  (on the right)

Therefore the roots of this quadratic expression are: x = -1 and x = 4.

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