In a geometric sequence, the first term, a , is equal to 3, and the third term, az, is equal to 108. Which number represents the common ratio of the geometric sequence?​

Answers

Answer 1

Answer:

12 because 108/12 is 9

Step-by-step explanation:

3^2=9

Answer 2

The common ratio of the geometric sequence whose first term 3 and third term 108 is ±6.

What is Geometric Sequence?

A geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

Here, first term a = 3 ......(i)

third term a₃ = ar² = 108 .......(ii)

On dividing equation (ii) from equation (i), we get

[tex]\frac{ar^{2} }{a} = \frac{108}{3}[/tex]

r² = 36

r = ±6

Thus, the common ratio of the geometric sequence whose first term 3 and third term 108 is ±6.

Learn more about Geometric Sequence from:

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Related Questions

Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.
A (8,6), B(-2,-9); 3 to 2
The coordinates of point P are



Answers

Answer:

[tex]P = (2,-3)[/tex]

Step-by-step explanation:

Given

[tex]m : n = 3 : 2[/tex]

[tex]A = (8,6)[/tex]

[tex]B = (-2,-9)[/tex]

Required

The coordinate of {

This is calculated as:

[tex]P = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]

So, we have:

[tex]P = (\frac{3*-2 + 2*8}{3 + 2},\frac{3*-9 + 2*6}{3 + 2})[/tex]

[tex]P = (\frac{10}{5},\frac{-15}{5})[/tex]

[tex]P = (2,-3)[/tex]


The 2 figures are similar. The figure on the right is a dilation of the figure on the
left. The figures represent pastures that are being fenced to hold livestock. The
sides labeled with numerical values have already been fenced. (Round to the
nearest tenth of a yard.)
Based on previous knowledge about similar figures, how much more fencing is
needed to complete the fencing of both pastures?
Record your answer and fill in the bubbles on your answer document. Be sure to
use the correct place value.

Answers

I don’t even know that’s some other

plz help

Which items are characteristic of a credible website? Select all that apply.

The website was updated last week.
There is a c located somewhere on the web page.
The website was updated two years ago.
The website ends in gov
There is a a located somewhere on the web page.
The purpose of the web page is to sell law services.
The URL ends in com
The purpose of the web page is to educate and not make money.

Answers

Answer:

The website ends in gov, the purpose of the webpage is to educate and not make money

Step-by-step explanation:

Hi kiri ☺️

Credible websites are those which are not biased and supposed to help the people without the intention of making money.

What are the metaphors of a credible website?

Website which is giving information with a listed author is one symbol of a credible site.

Thus option A,C,G will be true because they clearly shows that it is listed website with a purpose of education as well as have a proper management.

Other option are not much reliable as they shows whether the site is biased or not with proper management and ethics.

Learn more about credible websites here.

brainly.com/question/6750919

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A computer technician notes that 40% of computers fail because of the hard drive, 20% fail due to the processor, 15% of problems are with the keyboard, and 5% of problems are due to something else. What is the mean of the number of computers he will work on before seeing his first computer that has failed because of the hard drive?

Since there are four categories, the technician can expect 4 computers until one has failed due to the hard drive.
Since 40% is equivalent to Two-fifths, it is expected that Five-halves = 2.5 computers until one has failed due to the hard drive.
Since the highest percentage of failure is due to the hard drive, the technician can expect that the first computer will have failed due to the hard drive. So the expected value is 1.
Since it is more likely that a computer has failed due to some other issue, the technician can expect the first computer to fail due to some other issue, and the second to fail due to the hard drive. So the expected value is 2

Answers

Answer:

Answer is b

Step-by-step explanation:

Which choice is equivalent to the fraction below when X is an appropriate value? Hint: Rationalize denominator and simplify

Answers

Answer:

Option A. –2 – 2√2

Step-by-step explanation:

√8 / √2 – 2

The above expression can be simplified as follow.

√8 / (√2 – 2)

Rationalise by multiplying the numerator and denominator with the conjugate of (√2 – 2) i.e (√2 + 2). This is illustrated below:

√8 / (√2 – 2) × (√2 + 2)/(√2 + 2)

√8(√2 + 2) / (√2 – 2)(√2 + 2)

√16 + 2√8 / 2 + 2√2 – 2√2 – 4

√16 + 2√8 / 2 – 4

√16 + 2√8 / –2

Recall

√16 = 4

√8 = √(4×2) = √4 × √2 = 2√2

Thus,

√16 + 2√8 / –2 = 4 + 2×2√2 / –2

= (4 + 4√2) / –2

= 4/–2 + 4√2/–2

= –2 – 2√2

Therefore,

√8 / (√2 – 2) = –2 – 2√2

Thus, option A gives the correct answer to the question.

What is the surface area of the solid shown below?

Answers

Answer:

[tex]\text{C. }156\:\mathrm{cm^3}[/tex]

Step-by-step explanation:

The surface area of the triangular prism consists of three rectangles and two triangles.

Rectangle One - 5 x 12 = 60 cm^2

Rectangle Two - 4 x 12 = 48 cm^2

Rectangle Three - 3 x 12 = 36 cm^2

Triangles - 2 x 1/2 x 3 x 4 = 12 cm^2

Thus, the total surface area of the solid is [tex]60+48+36+12=\boxed{\text{C. }156\:\mathrm{cm^3}}[/tex]

A random sample of 300 balls hit into play in college baseball games is taken. For each ball hit into play, it is recorded whether the ball was hit to the left, center, or right of the field, and whether the ball resulted in a hit or an out. Which of the following is the appropriate null hypothesis to test if there is a relationship between the direction of the ball and if it resulted in a hit or an out?
(A) H_0H0​: The proportion of balls hit to the left, right, and center is the same.
(B) H_0H0​: The proportion of balls that result in hits and outs is the same.
(C) H_0H0​: The distribution of the direction of the ball is the same for the population of hits and the population of outs.
(D) H_0H0​: The direction of the ball and whether it results in a hit or an out are independent.
(E) H_0H0​: There is an association between the direction of the ball and whether it results in a hit or an out.

Answers

Answer:

(D) H_0H0​: The direction of the ball and whether it results in a hit or an out are independent.

Step-by-step explanation:

Given that

There is 300 balls random sample is taken

We need to find out the appropriate null hypothesis that lies between the ball direction and lead to a hit or an out

So

Based on the given options, the option d is correct as the ball direction and its results either be hit or on out would represent that they are independent

Therefore the option d is correct

66 cm
Is this radius or diameter?
1
2
Diameter
Radius
Zoom in
If the line is going straight across the circle, is it the radius or diameter?

Answers

diameter so i’m assuming it’s one :)

Tony Soprano has a collection of five-dollar and one-dollar bilis in his shirt pocket. He has 100 bills in all worth a total of $420. Which of the following systems of equations could be used to completely determine how many of each type of bill he has?
A. x+y=100 5x + y = 420
B. 5x + y = 420 100x + 420y = 5
C. x+y=100 x+y = 420 5x + y = 100

Answers

Answer:

[tex]A) x+y=100 \\ ..\ 5x + y = 420[/tex]

Step-by-step explanation:

From the question we are told that:

Five-dollar bill  x

One-dollar bill  y

Total number of bills [tex]N=100[/tex]

Worth of bills [tex]w=420[/tex]

Generally the equation for Total number of bills  is mathematically given by

Since it is made up of five and one dollar bills

Therefore

  [tex]x+y=100[/tex]

Hence the Equation for Total worth of bills is

 [tex]5x+y=420[/tex]

The System of equations used is

[tex]A) x+y=100 \\ ..\ 5x + y = 420[/tex]


Someone said the answer is -5 but can you explain how?

Answers

Answer:

-5

Step-by-step explanation:

add 5 and 10 makes 14

minus 5 from 15

multiply 10 and 4 and add to 15 to get 40

subtract 45 from 40 and get -5

he started with $5 then gets $10 so he then had $15 but he bought a toy which was $5 so $15-$5= so after that he had $10. On his birthday he receives $10 from 3 of his friends so $30 in total plus the $10 he had from before and he had to pay $45 but he only had $40 therefore the answer is -5.

Rocco has a garden and an oak tree. The oak tree is 11 times as old as the garden. The sum of their ages is 108 years. How old is each the garden and tree?

Answers

Answer:

GARDEN = 9 years

TREE = 99 years

Step-by-step explanation:

the following equation can be derived from the question

age of oak tree = 11x

age of garden = x

11x + x = 108

12x = 108

x = 9

oak tree = 11 x 9 = 99

A pet store is selling dogs for $140 and cats for $70. If 28 pets were sold and the
receipts were $3360, how many cats were sold?

Answers

Answer:

x+y=28. 70x+140y=3360. 8 cats, 20 dogs were sold.

Step-by-step explanation:

hope it helps :)

How many solutions does 7 - 4x = 2 + x + 6 - 5x have?
A. One solution
B. Infinitely many solutions
C. Two solutions
D. No solutions

Answers

Answer:

D) No Solution.

Step-by-step explanation:

7-4x=2+x+6-5x

7-4x=8+x-5x

7-4x=8-4x

7-8-4x=-4x

-1-4x=-4x

-1=-4x+4x

-1=0

no solution

Can anyone help? I’ll give Brainly :)

Answers

Answer:

1.3%

Step-by-step explanation:

Find the annual dividend by taking the quarterly dividend and mulitplying it by 4

.05*4= .2

divide that by the share price

.2/15= .013333333333333333333

which rounds to 1.3%

WILL



GIVE BRAINLIST



ANSWER


MATH

Answers

Answer:

Mean = 4.7

Mode = 5

Median = 5

Step-by-step explanation:

Mean = Σfx / Σf

Σfx = (3*4) + (4*5) + (5*7) + (6*2) + (7*2) = 93

Σf = (4+5+7+2+2) = 20

Mean = 93 / 20

= 4.65

= 4.7

Mode = highest occurring = vlaue with highest frequency = 5

Median :

20 / 2 = 10

Value corresponding to the 10th term = 5

Find the measure of 0. Round answer to the nearest tenth. Please help!

Answers

Answer:

70.8°

Step-by-step explanation:

From the triangle,

We are given the hypotenus and the angle opposite θ

Using Trigonometry:

Hypotenus and opposite are related by :

Sinθ = opposite / hypotenus

Sinθ = 17 / 18

θ = sin^-1(17/18)

θ = 70.811°

θ = 70.8°

how many 4 character login names can be created if the first two are digits and the last two are letters and none can repeat?
Answer: login names can be created ​

Answers

Answer:

58500

Step-by-step explanation:

since we have 10 numeric characters i.e

0,1,2,3,4,5,6,7,8,9

and similarly have 26 alphabetical characters

A - Z

Now we want to make a 4 characters login name with first two characters as digits and last two as letters without repetition

.•. 10 * 9 * 26 * 25=58500

Help please this question is confusing

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Im pretty sure but dont rely on this answer

Find the missing side of the triangle. The two triangles are similar.

Answers

Answer:

84 degrees

40 + 56 = 96

180 - 96 = 84

Is this triangle acute, right, or obtuse?

NEED HELP WITH THIS!!!!!! 50 points!!!!!!

A. Acute

B. Right

C. Obtuse

Answers

Answer:

acute

hope this helps

have a good day :)

Step-by-step explanation:

Hey I need this answered fast!! and if u please could help me I have more questions similar to this one on my page

Answers

Answer:

B and E

Step-by-step explanation:

The zero of a function is whatever point on the function where the y-value is zero. Hope this helped.

WILL


GIVE BRAINLIST ANSWER-

Answers

B



Explanation
I will explain if you want me to

A sphere has a volume of 1 cubic foot. What is the approximate diameter of the sphere?

Answers

Answer:

[tex]volume \ of \ sphere = \frac{4}{3} \pi r^3 \\\\1 =\frac{4}{3} \pi r^3\\\\r^ 3 = \frac{3}{4\pi} \\\\r = (\frac{3}{4\pi })^{\frac{1}{3} } \\\\r = 0.62ft\\\\diameter = 2 * 0.62 = 1.24ft[/tex]

Answer:

1.24 ft

Step-by-step explanation:

the volume of sphere = 4/3π.r³ = 1

=> r³ = 3/(4π)= 3/(12.56) = 0.239

r = ³√0.239

r = 0.62

d = 2×0.62 = 1.24 ft


45 POINTS
Click on the measure of the angle.

Answers

Answer:

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So, here's a story from A to Z

You wanna get with me, you gotta listen carefully

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Step-by-step explanation:

You shot a space capsule into an orbit around the space station.
The total weight of the capsule was 1,330 kilograms. If the devices
on board to regulate speed weighed one fourth as much as the fuel
tank and the power unit weighed one half as much as the fuel tank,
how much did the power unit weigh?
In this word problem, what are you asked to find?
CD
The weight of the power unit
b
The weight of the devices to regulate speed
с
The weight of the capsule
d
The weight of the container

Answers

I don’t honestly know the answer to this question

A plumber charges of fee of $75 to make a house call. He also charges $50 per hour for labor.

1. Write an equation that represents the plumber's charges. Let x represent the number of hours for labor an dy the total cost.
2. Use equations from part one to predict the cost of hiring the plumber for a 5-hour long repair.

Answers

Answer:

For part 1- y=50x+75 For part 2- y=325

Step-by-step explanation:

the cost is increasing 50 for every hour

there is a flat rate of 75 to answer a house call

y=50x+75

y=50(5)+75

y=250+75

y=325

We often deal with weighted​ means, in which different data values carry different weights in the calculation of the mean. For​ example, if the final exam counts for​ 50% of your final grade and 2 midterms each count for​ 25%, then you must assign weights of​ 50% and​ 25% to the final and​ midterms, respectively, before computing the mean score for the term. Apply the idea of weighted mean in the following exercise.

A student is taking an advanced anatomy class in which the midterm and final exams are worth 30% each and homework is worth 40% Of his final grade. On a 100-point scale, his midterm exam score was 82.5, his homework average score was 91.6, and his final exam score was 88.6.

Required:
a. On a 100-point scale, what is the student's overall average for the class?
b. The student was hoping to get an A in the class, which requires an overall score of 93.5 or higher. Could he have scored high enough on the final exam to get an A in the class?

Answers

Answer:

a) The student's overall average for the class is 87.97.

b) He would need a score above 100 to get an A, which means that he could not have scored high enough on the final exam to get an A in the class.

Step-by-step explanation:

Weighed average:

To solve this question, we find the student's weighed average, multiplying each of his grade by his weights.

Grades and weights:

Scored 82.5 on the midterm, worth 30%.

Scored 88.6 on the final exam, worth 30%.

Scored 91.6 on the homework, worth 40%.

a. On a 100-point scale, what is the student's overall average for the class?

Multiplying each grade by it's weight:

[tex]A = 82.5*0.3 + 88.6*0.3 + 91.6*0.4 = 87.97[/tex]

The student's overall average for the class is 87.97.

b. The student was hoping to get an A in the class, which requires an overall score of 93.5 or higher. Could he have scored high enough on the final exam to get an A in the class?

Score of x on the final class, and verify that the average could be 93.5 or higher. So

[tex]A = 82.5*0.3 + 88.6*0.3 + 0.4x[/tex]

[tex]A \geq 93.5[/tex]

[tex]82.5*0.3 + 88.6*0.3 + 0.4x \geq 93.5[/tex]

[tex]0.4x \geq 93.5 - (82.5*0.3 + 88.6*0.3)[/tex]

[tex]x \geq \frac{93.5 - (82.5*0.3 + 88.6*0.3)}{0.4}[/tex]

[tex]x \geq 105.425[/tex]

He would need a score above 100 to get an A, which means that he could not have scored high enough on the final exam to get an A in the class.

need help with this one too

Answers

Answer:

B.

Step-by-step explanation:

Don't doubt me... jwust twust me

50+50+8x+8=180

180-108=8x

x=9

Ur lucky... I explained

Pweeeeeeeeeeeeese mwake me da bwainliestttttttttttt

The graph shows the relationship between
the volume of coffee in a cup and the length
of time Cassie pours coffee into the cup.
milliliters
200
150
100
50+
(1,50)
seconds
1
2
3
What does 50 mean in this situation?

Answers

Answer: A

Step-by-step explanation:

I did it already

Answer:

A

Step-by-step explanation:

In a lab experiment, 300 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 18 hours. How many bacteria would there be after 3 hours, to the nearest whole number?

Answers

Answer:

337

Step-by-step explanation:

300(2)^(3/18)

= 300(2)^1/6

= 337.

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