What is the common ratio of the following geometric sequence? 6,9,27/2,81/4,...
a. r=-2
b. r=2
c. r=3/2
d. r=2/3

Answers

Answer 1

Answer:

C

Step-by-step explanation:

The common ratio (r) can be found as

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{9}{6}[/tex] = [tex]\frac{3}{2}[/tex] → C

Answer 2

The common ratio of the geometric sequence is c. r = 3/2.

To determine the common ratio of a geometric sequence, we need to find the ratio between consecutive terms.

In the given sequence: 6, 9, 27 / 2, 81 / 4, ...

To find the ratio between consecutive terms, we divide each term by its preceding term.

9 / 6 = 3 / 2

(27 / 2) / 9 = 3 / 2

(81 /4 ) / (27 / 2) = 3 / 2

We observe that the ratio between consecutive terms is always 3 / 2.

Therefore, the common ratio of the geometric sequence is c. r = 3/2.

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Related Questions

graph a line that contains the point (3,-6) and has slope of -1/2​

Answers

Answer:

Step-by-step explanation:

Let the equation of the line is,

y = mx + b

Here, m = slope of the line

b = y intercept

Since, m = -[tex]\frac{1}{2}[/tex]

Equation of the line will be,

y = [tex]-\frac{1}{2}x+b[/tex]

Since, a point (3, -6) lies on the line,

-6 = [tex]-\frac{3}{2}+b[/tex]

b = -6 + 1.5

b = -4.5

Equation of the line will be,

[tex]y=-\frac{x}{2}-\frac{9}{2}[/tex]

Table for the points on the graph,

x      -4         -3         -2        -1          0        

y      -2.5      -3       -3.5      -4       -4.5    

Plot these points and join them to get the graph of a line.

PLEASE I NEED HELP!!!!Annika finished
of her run in
of an hour.
How long will her whole run take?
Less than 1 hour
More than 1 hour
Exactly 1 hour

Answers

Answer:

More than 1 hour . Cheers.

Step-by-step explanation:

1/4 x 4 = 1

1/2 x 4 = 2

2<1

To ride an amusement park ride, your height must be at or above the line on the sign. For each set of information, write an integer that represents a person's height relative to the line on the sign and type yes or no as to whether they can ride the ride.

Answers

Answer:

3ft tall yes 2ft and 12inches no

Step-by-step explanation:

hope this helps

A box with no top that has a volume of 1000 cubic inches is to be constructed from a 22 x 30-inch sheet of cardboard by cutting squares of equal size from each corner and folding up the flaps. If one of the dimensions has to be greater than 18 inches, what size square should be cut from each corner?

Answers

I’m not completely sure but I think it would be 24 inches

A service center charges a fee of x dollars for an oil change plus y dollars per quart of oil used. A sample of its sales record is shown.

A table shows the oil tank size in quarts and total cost for two customers. Customer A: Oil tank size, 5 quarts. Total cost, 22.45 dollars. Customer B: Oil tank size, 7 quarts. Total cost, 25.45 dollars.

Write a system of linear equations that represents this situation.

Equation for customer A:
____=22.45$

Equation for customer B:
___=25.45$

Question 2
Find the fee and cost per quart of oil.

$ fee?

$ per quart of oil?

Answers

Answer:

Fee - $14.95, and $1.5 per quart of oil

Step-by-step explanation:

Equation for customer A:

x + 5y =22.45$

Equation for customer B:

x + 7y=25.45$

Subtract the first equation from the second and solve for y:

x + 7y - x - 5y = 25.45 - 22.452y = 3y = 3/2y = 1.5

Find x by substituting the value of y:

x + 5*1.5 = 22.45x = 22.45 - 7.5x = 14.95

The point where the graphs of two equations intersect has y-coordinate 2. One equation is y=−3x+5 . Complete the other equation in the form y=mx+b if its graph has a slope of 1.

Answers

Answer:

y = x + 1

Step-by-step explanation:

y = -3x + 5

Let y = 2

2 = -3x +5

-3 = -3x

x = 1

(1, 2)

y = mx + b

y = 1x + b

2 = 1 + b

b = 1

Therefor, the other one is, y = x + 1

The radius of a circle is 16 feet. What is the circle's area?
Use 3.14 for .
square feet

Answers

Answer:

803.84 feet squared

Step-by-step explanation:

A=pi*r^2

16^2=256

256*pi=803.84

SOMEONE DO THESE QUESTIONS FOR ME ASAP!! - GIVING BRAINLIEST

Answers

Answer:

1 Question= 26

2 Question=41

3 Question= 57

4 Question= 15

5 Question = 20

Step-by-step explanation:

what is the scale factor?
A.2
B.3
C.1/2
D.1/3

Answers

Answer:

D. 1/3

Step-by-step explanation:

Hope this helps!!!

Answer:

first one is 2 Times bigger that the second one so ? = 1.5 i guess

I need major help with number 5. Please show the work.

Answers

Answer:

Step-by-step explanation:

p-1=5p+3p-8

7=7p

p=1

Answer:

p = 1

Step-by-step explanation:

[tex]p-1 = 5p + 3p - 8[/tex]

combine like terms on the right side

[tex]p - 1 = 8p - 8[/tex]

subtract 8p from both sides

[tex]-7p - 1 = -8[/tex]

add 1 to both sides

[tex]-7p = -7[/tex]

divide both sides by -7

[tex]p = 1[/tex]

Find the values of the sine, cosine, and tangent for

Answers

number 1 i believe because the sin has to be multiplied

Which equation best represents the relationship between x and y in the graph?

Answers

Answer:

Y=1/2x+2

Step-by-step explanation:

The 2 is crossing the y-axis not the x so it crosses out the first two equations and the third one wouldn't work because -4 is through the x-axis meaning it can't be b.

PLEASE NO ONE WONT HELP ME this is literally my last question I did the rest my self


Drag each label to the
correct location on the image.
Match each number to the type of notation it is expressed in. Questions on the picture

Answers

Answer:

The last one is just standard form

The third one is scientific notation

The second one is standard form

The first on is scientific notation

Step-by-step explanation:

can someone help me please?

Answers

There are 60 minutes in an hour, so 8 x 60 = 480 ounces. Then, since we know that there are 128 ounces in a gallon we solve the equation 480 / 128 = 3.75. Now, we know that the pipe would leak 3.75 gallons in an hour. Hope this helped !
Answer:

3.75 gal/hr

Explanation:

1/1
Proportion
ains 12 marbles. The marbles are either red or blue. If th
1: 2, how many of each colour are there in the bag?

Answers

1+2=3, 12 divided by 3=4 4x1=4, so there is 4 red marbles. 4x2=8 so there is 8 blue marbles. We can check this is true by adding 8+4 which =12.

blue=8
red=4

PLZ HELP PLZ HELP PLZ HELP PLZ HELP

Answers

Store B would have the best deal
Each lightbulb for store A would be $3.74
Each lightbulb for store B would be $3.07
Each lightbulb for store C would be $3.58

To find the answer, you divide the price and the amount of lightbulbs in each pack to get the price per lightbulb.

The theoretical probability of spinning a 1 is

Answers

Answer:

Step-by-step explanation:

That depends on how many sections there are. If there are 2 sections, then it will be a 50/50 chance it lands on 1 if there are 3 sections then it would be 1/3 or for 4, 1/4, and for 5, 1/5, etc.

The theoretical probability of spinning a 1 is 1/4.

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Theoretical probability is the probability that we find through the theoretical approach without doing the experiment.

Total number of sections that the spinner has = 4

Number of sections numbered  1 = 1

Probability of spinning a 1 = 1/4

Hence the required probability = 1/4.

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The complete question is :

A spinner is divided in to 4 equal sections which has been numbered 1 to 4.

The theoretical probability of spinning a 1 is?

Solve the following inequality algebraically.
[tex] |x - 9 | \geqslant 4[/tex]

Answers

x ≤ 5 or x ≥ 13
Hope this helps

which expression is equivalent to 1/2b-15?
A) 1/2(b-30)
B) -1/2(b-30)
C) 1/2(b+30)
D) -1/2(b+30)
pick A B C D
P.S. Answer ASAP

Answers

The answer is A 1/2(b-30)

Answer:

Step-by-step explanation:

HELP NOWWWWW PLZZZ SIMPLIFY IT I did it and it's not 2.4

Answers

Answer:

4

Step-by-step explanation:

You just need to calculate, how many times does '5' enter in '20'.

It can enter 4 times because:

-5x4= -20

or

-20÷-5=4

Hope it helped! :D

Answer:

4

Step-by-step explanation:

can i get brainliest

1. A rectangular garden has a perimeter of
120 feet. The length of the garden is 24 feet
greater than twice the width. The system of
linear equations 21 +2w = 120 and 1-2w = 24
represents this situation, where I is the
length of the garden and wis the width. Find
the length and width of the garden.

Answers

Answer:

Length: 48

Width: 12

Step-by-step explanation:

Substition

l - 2w = 24

I = 60 - w

60 - w - 2w = 24

60 - 3w = 24

-3w = -36

w = 12

Substitute it into the equation to get the length.

l = 60 - 12

l = 48

Ingrid had 30 dollars to spend on 3 gifts. She spent 10 3/4 dollars on gift A and 5 1/2 dollars on gift B. How much money did she have left for gift C?

Answers

Answer:

ggs

Step-by-step explanation:

Help !! Solve for all values of x in simplest form. Its in the picture!!☝☝☝

Answers

Answer: x= 3/5 or x=-13/5


Simon earns $8.50 per hour for up to 30 hours of work
in a given week. For each hour Simon works over 30
hours in a week, he earns 1.5 times his regular hourly
rate. How much does Simon earn for a week in which
he works 35 hours?

Answers

Answer:$318.75

Step-by-step explanation:

please help very quick I will give brain list and follow you

Answers

Answer:

1.0.73

2.0.05

you are welcome

Which of the following graphs could represent a 6th-degree polynomial function, with 3 distinct zeros, 1 zero with a multiplicity of 3, and a negative leading coefficient?

Answers

Answer:

a=1

b=5

c=1

d=3

1+5+1+3 = 10


Given a function described as equation y = 3x + 4, what is y when x is 1, 2, and 3?

Answers

Answer:

x=1 y= 7

x=2 y= 10

x=3 y= 13

Step-by-step explanation:

y=3x+4

y=3(1)+4

=7

y=3(2)+4

=-10

y=3(3)+4

=13


Evaluate the expression when
C = 6 and d = 3.
(c- d)2 x 3

Answers

(6-3)2 x 3

(3)2 x 3

6 x 3

18

a school has sixth-grade students that are going on a field trip at the end of the school year. the students will be divided into five groups, each group riding on a different bus. there are a total number of 242 students going on the field trip. write and solve an equation to determine s, the number of students that will ride on both bus #4.

buses number of students
bus 1 62
bus 2 64
bus 3 55
bus 4 s

Answers

Answer:

61

Step-by-step explanation:

Complete the following table for the equation y = 2x + 5

Table: 0. 1. 2. 5. 7.

Pls help im in the middle of a test

Answers

Answer:

0 is 5

1 is 7

2 is 9

5 is 15

7 is 19

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