Select the sequences that are geometric.
18, 36, 54, 72,...
4.1, 8.2, 16.4, 32.8,...

Answers

Answer 1

answer:

Both sequences are geometric

Step-by-step explanation:

because both have common differences of 2 times

Answer 2

Answer:

4.1, 8.2, 16.4, 32.8,... is a geometric sequence.

Step-by-step explanation:

Given the first sequence

18, 36, 54, 72,...

we know that the geometric sequence is the sequence that has the same common ratio 'r' (constant ratio).

Computing the ratios of all the adjacent terms:

[tex]\frac{36}{18}=2,\:\quad \frac{54}{36}=1.5,\:\quad \frac{72}{54}=1.33333\dots[/tex]

As the ratio is not constant.

Hence, 18, 36, 54, 72,... is NOT the geometric sequence.

Given the second sequence

4.1, 8.2, 16.4, 32.8,...

we know that the geometric sequence is the sequence that has the same common ratio 'r' (constant ratio).

Computing the ratios of all the adjacent terms:

[tex]\frac{8.2}{4.1}=2,\:\quad \frac{16.4}{8.2}=2,\:\quad \frac{32.8}{16.4}=2[/tex]

As the ratio of all the adjacent terms is the same (constant ratio).

Hence, 4.1, 8.2, 16.4, 32.8,... is a geometric sequence.

Therefore, 4.1, 8.2, 16.4, 32.8,... is a geometric sequence.


Related Questions

Solve the simultaneous equations:

3a-2b=14
12a+9b=39

Answers

Use elimination
Multiply first equation by 4
12a - 8b = 56
12a + 9b = 39
Subtract both
-17b = 17
b = -1
Plug in -1 for b
3a - 2(-1) = 14
3a = 12, a = 4
Final answer: a = 4, b = -1

Use the given information to write the equation of the line.
slope 2, y-intercept - 4

Answers

Answer : y = 2x - 4

Hope this helps (:

How to do this question plz answer ​

Answers

Answer:

45° and 135°

Step-by-step explanation:

(a)

The sum of the angles around O = 360°

There are 8 segments from each vertex to O , thus

∠ AOB = 360° ÷ 8 = 45°

The sum of the interior angles of a regular polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 8 , then

sum = 180° × 6 = 1080°

In a regular polygon the 8 interior angles are equal, thus

∠ ABC = 1080 ÷ 8 = 135°

9514 1404 393

Answer:

  a) angle AOB = 45°

  b) angle ABC = 135°

Step-by-step explanation:

a) The sum of the 8 identical central angles is 360°, so each one has a measure of ...

  angle AOB = 360°/8 = 45°

__

b) The sum of the 8 exterior angles is 360°, so each one is 45°, the same measure as the central angle. The measure of angle ABC is the supplement of the exterior angle at B, so is ...

  angle ABC = 180° -45° = 135°

_____

In the attached image, the central point is your O. Angle AOB is the interior angle of triangle AOB whose vertex is at O.

Miguel used the graph below to represent a system of equations. On a coordinate plane, 2 lines will intersect at one point. Which statement is the best conclusion for Miguel’s system?

Answers

Answer b,since the lines will intersect at one point, this system has one solution:

Step-by-step explanation:

Took the test

Answer:

B

Step-by-step explanation:

A pizza restaurant sells containers of juice that it marks up 75 percent above its wholesale cost. If the restaurant marks up each container by $0.90, how much does the restaurant pay for each container of juice wholesale?
$0.51
$0.83
$1.20
$1.58

Answers

Answer:

$1.20

Step-by-step explanation:

$0.90=75%. divide it by 3. =$0.30. do 4 times $0.30. $1.20.

Answer:

75% of what is 0.90

0.75x = 0.90

x = 0.90/0.75

x = 1.20 <== restaurant pays $ 1.20 wholesale

how many is ounces is 4 gallons

Answers

Answer:

512 ounces

Step-by-step explanation:

There are 128 ounces in a gallon.

128 x 4 = 512

Answer:

512

Step-by-step explanation:

What is the equation of the line that passes through the point (3,-2) and has a
slope of -2?

Answers

Answer:

y=-2x+4

Step-by-step explanation:

Question in picture solve

Answers

Answer:

36

Step-by-step explanation:

You substitute 9 in for x so it would look like this 5(9)-9 then you solve and you get the solution of 36.

If you liked my answer then please make it the brainliest it would be much apprecited. Thanks!

The graph of the cube root of X is shifted one unit down in seven units to the left. What is the equation of the resulting graph? Explain

Answers

Using translation concepts, it is found that the equation of the resulting graph is given by:

[tex]y = \sqrt[3]{x + 7} - 1[/tex]

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The cube root function is given by:

[tex]y = \sqrt[3]{x}[/tex]

The changes are as follows:

Shifted one unit down, hence 1 is subtracted from the function.Shifted seven units to the left, hence [tex]x \rightarrow x + 7[/tex] in the domain of the function.

Hence, the equation is given by:

[tex]y = \sqrt[3]{x + 7} - 1[/tex]

More can be learned about translation concepts at https://brainly.com/question/4521517

P = 2(w + h)

W = 12 correct to the nearest whole number

h = 4 correct to the nearest whole number

Work out the upper bound for the value P

(urgent please)​

Answers

Answer:

p=32

Step-by-step explanation:

4+12=16

16×2=32

p=32

After substituting W = 12, h = 4, in the equation P = 2(w + h), P = 32

What is upper bound?

"An element greater than or equal to all the elements in a given set."

What is equation?

"It is an expression which contains an equal symbol."

For given question,

Given equation: P = 2(w + h)

W = 12, h = 4

After substituting these values in given equation,

⇒ P = 2 × (12 + 4)

⇒ P = 2 × 16

P = 32

Learn more about upper bound here:

https://brainly.com/question/22965427

#SPJ2

Mighty maids charges $35 to clean 6 rooms and $15 for each additional Determine the maximum number of rooms that can be cleaned for $80

Inequality:
Solution:

Answers

Answer:

Step-by-step explanation:

80-35= 45

45/15=3 so three more rooms are $15 a room

Total rooms are 9. The original 6 plus the additional 3.

80≥35+15x

45≥15x

3=x

Got the answer thanks

Answers

Answer:

Welcome

Step-by-step explanation:

Determine if the two triangles are congruent. If they are, state how you know.
1)
2)

Answers

1 SAS
2ASA
3AAS
4AAS
5ASA
Im pretty sure i’m correct :(:

PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer:

Step-by-step explanation:

I'm not exatcly sure what is meant by magnitude but if it is the slope it is simply -7 if it is asking about the actual magnitude or length of the vector then we use pthagorean theorum which is:

[tex]c^{2} =a^{2} +b^{2}\\[/tex]

when adjusted to solve for the  answer is

[tex]c = \sqrt{a^{2}+b^{2}\\}[/tex]

which is c = sqrt (1^2) + (-7)^2 = [tex]\sqrt{50}[/tex] would be the exact answer

3(4x+4) pls quickly:)

Answers

Answer:

12x+12

Step-by-step explanation:

3(4x+4)

you times both answers to get rid of the 3

=3 • 4x + 3 • 4

= 12x+12

because they are not like terms so you cannot do anything further.

4 of the 9 tiles in the floor pattern are white. What percent of the tiles are white?

Answers

Answer:

44.5%

Step-by-step explanation:

THis is because 4/9x100=44.5, which means that 44.5% of the tiles are white

In right triangle ABC, angle C is a righ angle, AB=13, and BC=5 .what is the length of AC?

Answers

Answer:

12

Step-by-step explanation:

Since this is a right triangle you can you pythagorean theorem.

a^2+b^2=c^2

A= shortest side.

B=middle side.

C=longest/slanted side or hypotenuse.

So AB is the hypotenuse.

BC is the short side.

this means that AC is the middle side. Plug your numbers in.

25 + b^2 =169

b^2=144

b=12

AC=12

A video game system and several games are sold for $652. The cost of the games is 3 times as much as the cost of the system. Find the cost of the system and the cost of the games.
Cost of the video game system: $

Answers

Answer:

The cost of the system is $163 and The cost of the games is $489

Step-by-step explanation:

∵ A video game system and several games are sold for $652

∵ The cost of the games is 3 times as much as the cost of the system

→ Assume that the cost of the system is $x

The cost of the system = x

The cost of the games = 3 × x = 3x

∵ The total cost of the system and the games = 652

→ Equate the sum of the cost of the system and the cost of the games

   by 652

x + 3x = 652

→ Add the like terms in the left side

∴ 4x = 652

→ Divide both sides by 4 to find x

∵ [tex]\frac{4x}{4}=\frac{652}{4}[/tex]

x = 163

∵ The cost of the system = x

The cost of the system is $163

∵ The cost of the games = 3x

∴ The cost of the games = 3(163) = 489

The cost of the games is $489

11) Jonsey is standing at a cliff that is 5ft above sea level. He dives into the water and descends to a depth 8ft below sea level. How far did he travel?​

Answers

Answer:

13ft

Step-by-step explanation:

5ft + 8ft=13ft

Answer:

-13Ft

Step-by-step explanation:

Enter values for X and Y in the table to plot points in the graph

Answers

Answer:12,16

Step-by-step explanation:

Answer:

16,28. 4,16. I'm not sure though

A line that contains the point (0,4) if the slope of the line is m=5 write the equation of the line using slope intercept form

Answers

Answer:

y = 5x + 4

Step-by-step explanation:

Slope intercept form is y = mx + b. m is the slope which is already given to you, which leaves you with y = 5x + b. Then you plug in (0,4) to find what b is. 4 = 5(0) + b

4 = 0 + b

4 = b

y = 5x + 4

Kate is organizing 585 video games into shipping boxes. Not all of the customers are ordering the same amount of videos, so not all of the boxes are going to be the same size. What are Kates options for the number of video games that can be put in each shipping box?

Answers

Answer:

1. So, Kate can put 45 video games each in 13 shipping boxes or 13 video games each in 45 shipping boxes.

2. Kate can put 117 video games each in 5 shipping boxes or 5 video games each in 117 shipping boxes.

3. Kate can put 9 video games each in 65 shipping boxes or 65 video games each in 9 shipping boxes.

Step-by-step explanation:

The prime factorization of 585 = 3² × 5 × 13.

So, the number of video games Kate can put in each shipping box are the different combinations of the prime factors. So, they are

1. 3² × 5 × 13 = 45 × 13 or 13 × 45.

So, Kate can put 45 video games each in 13 shipping boxes or 13 video games each in 45 shipping boxes.

2.  3² × 5 × 13 =  3² × 13 × 5 = 117 × 5 or 5 × 117

So, Kate can put 117 video games each in 5 shipping boxes or 5 video games each in 117 shipping boxes.

3.  3² × 5 × 13 =  3² × 13 × 5 = 9 × 65 or 65 × 9

So, Kate can put 9 video games each in 65 shipping boxes or 65 video games each in 9 shipping boxes.

#12, please help answer the question in the picture

Answers

Answer:

e.

Step-by-step explanation:

hope this helps

HELPPPPPP PLEASEEE HURRYYYYY

Answers

Answer:

Function B has a greater slope than Function A

Answer:

Function B has a greater slope than Function A.

Step-by-step explanation:

If you graph function B, you see that it is much steeper than function A.

A drive in movie charges $9 per car plus $2 per person in the car. The total cost for going to the drive in movie when you go on x people are in the car is f(x) = 2x + 9. How will the graph of this function change if the cost per car is changed to $6 ?

Answers

Step-by-step explanation:

f(x)= 2x + 9

               Cost per car

Change 9 to 6.

f(x) = 2x + 6

Because 9 was the y-intercept and it was changed to 6, or 3 units down, the function would be be translated 3 units down

Hope this makes sense!!!!

The sum of a number, n, and a number 5 larger than it is 41. Which of the following equations could be used
to solve for the number?
(1) +5n41
(3) 5(n+1) = 41
(2) +n+ 5-41
(4) 5n+n+1-41

Answers

I think it (3) one I’m not sure

Help please, be sure your right.

Answers

Answer:

Step-by-step explanation:

System A and System B are not equivalent !!!  

-3^2=

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

Answers

Answer:

9

Step-by-step explanation:

(-3)²

(-3) × (-3) ∴ [ ( - ) × ( - ) = + ]

9

Thus, (-3)² = 9

-TheUnknownScientist

URGENT NEEDS ANSWERED WITHIN 20 MINUTES
Find the radius of a circle whose sector area is 59 square inches and whose arc measures 40o.

Answers

The radius of the following is 2360

J. D. Is saving up to buy a set of Apple Airpods. It is advertised on the web site for $199. He has $56 saved. To make money, he does yardwork for his neighbors and receives $5.00 a day. How many days of yardwork will he need to complete to have enough money to buy the Airpods? His parents said they will pay the sales tax.

Answers

Answer:

29 days!

Step-by-step explanation:

$199 - $56

$143

$143/ $5 = 28.6

28.6 --> 29

Answer:

29days

Step-by-step explanation:

just work out how many fives there is there

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