Determine whether the geometric series 19.2 + 9.6 + 4.8 + ... converges or diverges, and identify the sum if it exists.​

Answers

Answer 1

Answer: The infinite geometric series converges to 38.4

====================================================

Explanation:

Divide each term by its previous term

term2/term1 = 9.6/19.2 = 0.5

term3/term2 = 4.8/9.6 = 0.5

The common ratio is r = 0.5

Since -1 < r < 1 is true, this means the infinite geometric series converges.

It converges to...

S = a/(1-r)

S = 19.2/(1-0.5)

S = 38.4

Answer 2

Answer:

Top is right

Step-by-step explanation:


Related Questions

Is 8.168 a rational number?

Answers

Answer:

yes

Step-by-step explanation:

hat is the quotient of 78.3 ÷ 3.48?

Answers

Answer:

a answer to a division problem

Step-by-step explanation:because thats have it is U-U

Answer:

The quotient is 22.5

Step-by-step explanation:

78.3/3.48 783/10/348/100 783/10/2^2*3*29/2^2*5^2 which gives you 45/2 divide that and it gives you 22.5 as your answer

Hope this helps

Identify next three numbers in this sequence: 2, 6, 3, 9, 6, 18, 15

Answers

Answer:

45,42,126

multiply by 3

The next three terms in the sequence are : 45, 42 and 126

Given the sequence 2, 6, 3, 9, 6, 18, 15

Rule :

Multiply the first term by 3 to obtain the second term Subtract 3 from the 2nd term to obtain the third term The third term is multiplied by 3 to obtain the fourth term Subtract 3 from the fourth term to obtain the fifth term. And the process continues....

Starting with the first term ; 2 ;

2nd term = 2 × 3 = 6

3rd term = 6 - 3 = 3

4th term = 3 × 3 = 9

5th term = 9 - 3 = 6

6th term = 6× 3 = 18

7th term = 18 - 3 = 15

8th term = 15 × 3 = 45

9th term = 45 - 3 = 42

10th term = 42 × 3 = 126

Hence, the next three terms of the sequence are : 45, 42 and 126

Learn more : https://brainly.com/question/18109692

You have budgeted $3,200 per month for your total expenses. The cost of rent per month is $1,300 and the cost of food is $350. To stay within your budget, all other costs C must be no more than what amount (in $)?

Answers

Answer:

All other costs must be $1,550 or less

Step-by-step explanation:

1300+350=1650

3200-1650=1550

Using some mathematical operations, we know that to stay within the budget, the other cost will not be more than $1,550.

What exactly are mathematical operations?An operation is a mathematical function that transforms zero or more discrete input values into discrete output values. The complexity of the operation depends on how many operands there are. The rules that specify the order in which specific operations should be carried out in order to solve an expression are referred to as the order of operations. Parentheses, exponents, multiplication, division (from left to right), addition, and subtraction are the order of operations. (Left to Right) PEMDAS (from left to right).

So, cost C must be no more than:

The budget is $3200.The cost of rent and food is $1300 and $350.

Then, the remaining money will be:

3200 - (1300 + 350)3200 - 1,650$1,550

Therefore, using some mathematical operations, we know that to stay within the budget, the other cost will not be more than $1,550.

Know more about mathematical operations here:

https://brainly.com/question/28937794

#SPJ2

identify the range of a function plsss help

Answers

Answer:

C.

Step-by-step explanation:

Range is the set of y-values that are outputted by x-values in a function.

We see that our y-values span from -1 to 3, and since they are closed dots, they are included in our range. Therefore, our range is C.

How do I solve this? Solve for x 2/3+5/3x=9

Answers

Answer:

5

Step-by-step explanation:

Write an equation for the description . The length of a rectangle is twice its width . The perimeter of the rectangle is 122 feet.

Answers

Answer:

  122 = 2(2w +w)

Step-by-step explanation:

If we let w represent the width of the rectangle, then 2w is the length of it. The perimeter is twice the sum of length and width.

  P = 2(L+W)

  122 = 2(2w +w) . . . . an equation for the description

what is 3/8 + 1/2 = i only have 5 minutes do finish this

Answers

Answer:

4/10

Step-by-step explanation:

this is the answer

Answer:

7/8

First Step: 1/2 converts to 4/8

Second Step: Add 4/8 and 3/8

4/8 + 3/8 = 7/8

Cricket match Australia v England begins 10:00 UK time. Australian time is 11 hours ahead of UK time. What time will the game start in Australia (24 hr clock)

Answers

Answer:

Step-by-step explanation:

21:00 i believe

Reply back please! Scientific Notation

Answers

Answer:

Sorry didnt realize it didnt post

2.) 1.16 x 10^-1

4.) 9.006 x 10^-9

6.) 3.68 x 10^3

8.) 6.92810457 × 10^-3

Step-by-step explanation:

To qualify for a gold status at awesome airlines one must fly less than 35200 but at least 17600 miles each year if Casey takes a 800 miles round trip flight when visiting his parents how many times does Casey need to visit his parents each year to attain gold status

Answers

800 times 22 is 17600

Which expression is equivalent to 9+9x+9y?

Answers

Answer:

9(1 + x + y)

Step-by-step explanation:

[tex] \huge 9 + 9x + 9y = \red{ 9(1 + x + y)}[/tex]

what is y to the 2 power = 81

Answers

Answer:9

Step-by-step explanation:

Use the tables above to compose the following functions.
A: f(g(2))
B: f(g(5))
C: g(f(-1))
D: g(f(5))

Answers

Answer:

A. 1

B. 2

C. 2

D. 0

Hope it helps :-)

Please solve this. It is confusing for me

Answers

The answer is b which is the second choice

1/2 + .50 + 1/5 help ):

Answers

Answer:

the answer is 1.2 or 1 1/5

Step-by-step explanation:

Answer:

.50 = 1/2 so its 1/2 plus 1/2 plus 1/5 which you turn 1/5 and 1/2 in ten and it now 5/10 plus 5/10 plus 2/10 with equals 1 and 2/10 or otherwise 1 and 1/5

Step-by-step explanation:

Find the derivative of the function. g(x) = ∫5 x 4 x u2 − 1u2 +1 dug'(x) = g

Answers

Answer:

[tex]\mathbf{g'(x) = 5 \times \dfrac{(25x^2-1)}{(25x^2+1)}- 4 \times \dfrac{(16x^2-1)}{(16x^2+1)}}[/tex]

Step-by-step explanation:

The question can be better structured and represented as :

[tex]g(x) = \int ^{5x}_{4x} \dfrac{u^2-1}{u^2+1} \ du[/tex]

now the derivative of the function of g(x) is g'(x) which is equal to:

[tex]g'(x) = \dfrac{(5x)^2-1}{(5x)^2 +1 }\dfrac{d}{dx}(5x) - \dfrac{(4x)^2-1}{(4x)^2 +1 }\dfrac{d}{dx}(4x)[/tex]

[tex]\mathbf{g'(x) = 5 \times \dfrac{(25x^2-1)}{(25x^2+1)}- 4 \times \dfrac{(16x^2-1)}{(16x^2+1)}}[/tex]

Plz answer me will mark as brainliest and will be reported if wrong answer ​

Answers

Answer:

1,2,3,6,and 9

Step-by-step explanation:

18=1×18

=2×9

=3×6

=1,2,3,6and9

janet has 30 classmates in her classrom 18 of those classmates are girls if there are a total of 500 students in her school how many students are girls

Answers

Answer:

11000

Step-by-step explanation:

Answer:

11000

Step-by-step explanation:

5n +5y+5n+6a+2d
Can You intelligent people please help me with this

Answers

Answer:

6a+2d+10n+5

Step-by-step explanation:

Answer:

I believe you're trying to simplify if so then the answer is

6 a + 2d + 10n + 5y

if thats not what you're doing lmk what it is you are doing and i will help

Step-by-step explanation:

Solve for g.
4(g - 17) = 12
g=

Answers

Answer:

[tex]g=20[/tex]

Step-by-step explanation:

[tex]4\left(g-17\right)=12[/tex]

Divide both sides by 4:

[tex]\frac{4\left(g-17\right)}{4}=\frac{12}{4}[/tex]

[tex]g-17=3[/tex]

Add 17 to both sides:

[tex]g-17+17=3+17[/tex]

[tex]g=20[/tex]

Answer: g=0 or g=20 i hope this helped

Point M is the midpoint of segment AB.
AM=3x+40 and MB=x^2. Find x and AB

Answers

[tex]\text{Hello there! :)}[/tex]

[tex]x = 8\\\\AB = 128 \text{ units}[/tex]

-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-

[tex]\text{Since Point M is the midpoint of AB, then:}\\\\AM = MB\\\\[/tex]

[tex]\text{Set the two equations equal to each other:}\\\\3x + 40 = x^{2} \\\\[/tex]

[tex]\text{Move all terms over to one side to simplify more easily:}\\\\0 = x^{2} - 3x - 40[/tex]

[tex]\text{Factor by finding numbers that sum up to -3 and multiply into -40:}\\\\0 = (x - 8)(x + 5)\\\\x = -5, 8[/tex]

[tex]\text{The length of a segment cannot be negative, so choose the positive solution:}\\\\x = 8[/tex]

[tex]\text{Substitute in this value of x into either AM or MB to solve for AB:}[/tex]

[tex]AB = 2(MB)\\\\AB = 2(x^{2} )\\\\AB = 2(8^{2})\\ \\AB = 2(64)\\\\AB = 128 \text{ units}[/tex]

2.
Josh worked 480 hours in 12 weeks. How many hours does he work in one week if he works the
same hours each week.

Answers

He works 40 hours a week.
The answer is 40 if you divide 480 by 12 you’ll get 40

what is 70-30+12 then divided by 20

Answers

Answer:

2.6

Step-by-step explanation:

First you subtract and get 40 and then you add the 12 which gets 52 and then you divide it by 20 and get your 2.6

Answer:

Step-by-step explanation:

40.6 hope it helps

-7x+4y+9-4x=-7-5-5(-x-3y)

Answers

Answer:

for x = −11y/16+ 21/16

for y = 16x/11 +21/11

Step-by-step explanation:

M little sister needs help with a geometry problem

Answers

Answer:

Segment bisector = KL

IJ = 11⅓

Step-by-step explanation:

Segment KL cuts segment IJ into two equal parts. Therefore the segment bisector of IJ is said to be segment KL.

Length of IJ:

From the figure given, the bisector divided the IJ into two equal parts. 1 part is given as 5⅔, therefore, the 2 parts joined together will give us lenght of IJ.

Thus, IJ = 2*5⅔ = 2 * 17/3 = 34/3 = 11⅓

Segment bisector = KL

IJ = 11⅓

y+z+ 2; use y=-6, and z = 5

Answers

Answer:

1

Step-by-step explanation:

y + z + 2

first you have to replace the variables with the numbers

This is your equation now.

-6 + 5 + 2

Now you just have to solve it.

-6 + 5 = -1 + 2 = 1

or

7 - 6 = 1

Find the interest

earned:

$ 15,500 for 7.5 years

at 4.9% annual

compound interest

Answers

Answer:

In 7.5 years, you will have $21,665.07 - $15,000 = $6,665.07 Interest

Step-by-step explanation:

data was collected ​

Answers

ok? what data?? i need context

How do I isolate R?​

Answers

S = (HR(Wi - Wn)) / 1000.

First, multiply both sides by 1000.

1000S = HR(Wi - Wn)

Divide bot sides by H(Wi - Wn)

(1000S) / H(Wi - Wn) = R

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