1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Leno4ka [110]
3 years ago
11

Determine whether the geometric series is convergent or divergent. 9 + 8 + 64/9 + 512/81 + ..... If it is convergent, find its s

um?
Mathematics
1 answer:
Westkost [7]3 years ago
3 0

Answer:

Convergent; 81

Step-by-step explanation:

r = term2/term1 = 8/9

8/9 < 1 so convergent

Sum = 9/(1 - 8/9)

= 9/(1/9) = 81

You might be interested in
Convert 5.00 inches to centimeters
tensa zangetsu [6.8K]

Answer:

5 inches x 2.54 = 12.7 cm

Step-by-step explanation:

1 inche = 2.54cm

therefore, 5 inches x 2.54cm = 12.7cm

6 0
3 years ago
Determine the gradient of the straight line 2x-3y+9=0. Find the equation of the straight line through the origin which is perpen
frutty [35]

Answer: 3

x

−

2

y

−

15

=

0

Explanation:

We know that,

the slope of the line  

a

x

+

b

y

+

c

=

0

is  

m

=

−

a

b

∴

The slope of the line  

2

x

+

3

y

=

9

is  

m

1

=

−

2

3

∴

The slope of the line perpendicular to  

2

x

+

3

y

=

9

is  

m

2

=

−

1

m

1

=

−

1

−

2

3

=

3

2

.

Hence,the equn.of line passing through  

(

3

,

−

3

)

and

m

2

=

3

2

is

y

−

(

−

3

)

=

3

2

(

x

−

3

)

y

+

3

=

3

2

(

x

−

3

)

⇒

2

y

+

6

=

3

x

−

9

⇒

3

x

−

2

y

−

15

=

0

Note:

The equn.of line passing through  

A

(

x

1

,

y

1

)

and

with slope

m

is

y

−

y

1

=

m

(

x

−

x

1

)3

x

−

2

y

−

15

=

0

Explanation:

We know that,

the slope of the line  

a

x

+

b

y

+

c

=

0

is  

m

=

−

a

b

∴

The slope of the line  

2

x

+

3

y

=

9

is  

m

1

=

−

2

3

∴

The slope of the line perpendicular to  

2

x

+

3

y

=

9

is  

m

2

=

−

1

m

1

=

−

1

−

2

3

=

3

2

.

Hence,the equn.of line passing through  

(

3

,

−

3

)

and

m

2

=

3

2

is

y

−

(

−

3

)

=

3

2

(

x

−

3

)

y

+

3

=

3

2

(

x

−

3

)

⇒

2

y

+

6

=

3

x

−

9

⇒

3

x

−

2

y

−

15

=

0

Note:

The equn.of line passing through  

A

(

x

1

,

y

1

)

and

with slope

m

is

y

−

y

1

=

m

(

x

−

Explanation:

the equation of a line in  

slope-intercept form

is.

∙

x

y

=

m

x

+

b

where m is the slope and b the y-intercept

rearrange  

2

x

+

3

y

=

9

into this form

⇒

3

y

=

−

2

x

+

9

⇒

y

=

−

2

3

x

+

3

←

in slope-intercept form

with slope m  

=

−

2

3

Given a line with slope then the slope of a line

perpendicular to it is

∙

x

m

perpendicular

=

−

1

m

⇒

m

perpendicular

=

−

1

−

2

3

=

3

2

⇒

y

=

3

2

x

+

b

←

is the partial equation

to find b substitute  

(

3

,

−

3

)

into the partial equation

−

3

=

9

2

+

b

⇒

b

=

−

6

2

−

9

2

=

−

15

2

⇒

y

=

3

2

x

−

15

2

←

equation of perpendicular lineExplanation:

the equation of a line in  

slope-intercept form

is.

∙

x

y

=

m

x

+

b

where m is the slope and b the y-intercept

rearrange  

2

x

+

3

y

=

9

into this form

⇒

3

y

=

−

2

x

+

9

⇒

y

=

−

2

3

x

+

3

←

in slope-intercept form

with slope m  

=

−

2

3

Given a line with slope then the slope of a line

perpendicular to it is

∙

x

m

perpendicular

=

−

1

m

⇒

m

perpendicular

=

−

1

−

2

3

=

3

2

⇒

y

=

3

2

x

+

b

←

is the partial equation

to find b substitute  

(

3

,

−

3

)

into the partial equation

−

3

=

9

2

+

b

⇒

b

=

−

6

2

−

9

2

=

−

15

2

⇒

y

=

3

2

x

−

15

2

←

equation of perpendicular line

7 0
3 years ago
Read 2 more answers
Sea World has 9 aquariums with small fish in them and the number of fish in each tank are shown below:45,10,48,19,36,25,63,14,37
zepelin [54]

Answer:

33

Step-by-step explanation:

Add all the numbers

Divide by 9

5 0
3 years ago
What is 11mp in expanded form
Flauer [41]

Answer:

<h3>Eleven-per miles who doesn't know that or 11.✌️</h3>
4 0
3 years ago
How many times as much does each item cost in 2010 as in 1960 is the movie tix it tickets in 1960 costed $.75 in in 2010 cost 9.
Harrizon [31]
13 times i think
You just divide 9.75 by .75 and you get 13
8 0
3 years ago
Read 2 more answers
Other questions:
  • The students in Mrs. Thompson's class have to do a book report. They were given the choice to read a historical fiction, non-fic
    11·2 answers
  • Jayne is taking two AP classes and three regular classes. Her AP classes count twice as much as her regular classes in her GPA.
    11·1 answer
  • Of 120 hotel rooms rented one night, some were suites rented for $115 each and the rest were double rooms rented for $85 each. I
    11·1 answer
  • Leo spent the same amount of time working on each of 5 different weight machines and then spent
    7·1 answer
  • It’s part of my lil brothers hw and I don’t feel like helping him
    14·2 answers
  • Carlos had $41 when he went to a bookstore. He had $10 left after buying some books. Which equation can be used to find a, the a
    5·1 answer
  • you need 4 teaspoons of cinnamon to make a cake if you up the recipe and use 6 teaspoons of cinnamon what percent increase does
    13·1 answer
  • The ratio of deer to chickens is 5:3. If there are a total of 160 animals, how many are chickens?
    7·2 answers
  • Express 17 as a ratio of 68​
    12·1 answer
  • Which function could represent the value of a rare coin that increases over time? y=−32x+1y is equal to negative 3 halves x plus
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!