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 = \(\frac{a_{2} }{a_{1} }\) = \(\frac{9}{6}\) = \(\frac{3}{2}\) → 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

Total points in a board game based on the average number of hours played is predicted using the least-square regression line, ŷ = 280. 3 + 85. 7x, where ŷ represents the total points scored and x represents the average number of hours spent playing the game. A player plays the game for an average of 3 hours and has a point total of 550. What is the residual for the player?

Answers

As per the given least-square regression line the residual for the player is 12.6.

The term least square regression line in math is defined as  the line that makes the vertical distance from the data points to the regression line as small as possible.

Here we have the least square regression line as y = 280. 3 + 85. 7x.

As we all know that the residual is given by the difference between the observed point and the predicted point.

While we looking into the given problem the expected score over x hours is written as,

=> f(x) = 280.3 + 85.7x.

Here we need to find the residual for the player, then we have to apply the value of x as 3, then we get,

=> f(3) = 280.3 + 85.7 x 3 = 537.4.

As here we know that the observed score was of 550, hence the residual is calculated as,

=> R = 550 - 537.4 = 12.6.

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6. The correlation coefficient, r, is given for several different data sets. Which value for r indicates the worst correlation

6. The correlation coefficient, r, is given for several different data sets. Which value for r indicates

Answers

The correlation coefficient {r} = 0.01 represents the worst correlation.

What is correlation?

In statistics, correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data

Given are the correlation values as given in the image.

The correlation coefficient {r} = 0.01 represents the worst correlation. It is shows that the data is scattered to a very large extent and the dependency between the two variables is not mathematically structured according to some rule.

Therefore, the correlation coefficient {r} = 0.01 represents the worst correlation.

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Marta makes 90\%90%90, percent of the free throws she attempts. She is going to shoot 333 free throws. Assume that the results of free throws are independent from each other. Let xxx represent the number of free throws she makes. Find the probability that marta makes at least 222 of the 333 free throws.

Answers

The probability that Marta makes at least 2 of the 3 free throws is 0.972

How to determine the probability

From the question, we have the following parameters that can be used in our computation:

Proportion of throws = 90%

Number of throws = 3

The probability that Marta makes at least 2 of the 3 free throws is calculated as

Probability = P(2) + P(3)

Each individual probability can be calculated using

P(x) = nCx * p^x * (1 - p)^(n - x)

Substitute the known values in the above equation, so, we have the following representation

Probability = 3C2 * (0.9)^2 * (1 - 0.9)^1 + 3C3 * (0.9)^3 * (1 - 0.9)^0

Evaluate the expressions

Probability = 0.243 + 0.729

So, we have

Probability = 0.972

Hence, the probability is 0.972

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A recipe for 15 bran muffins calls for 1 cup of flour. The number of muffins that can be made varies directly with the amount of flour used. There are 3 2/3 cups of flour available. How many muffins can be made?

Answers

with 3 2/3 cups of flour 55 muffins can be made (15*3 2/3=55)

what is the big-oh order of the following growth expression? f(n)=24n 2nlg(n) 280

Answers

The big-Oh order of the expression f(n) = 24n²nlogn + 280 is O(n²), which means that the time complexity of the algorithm is proportional to n².

The big-Oh order is a way of measuring the growth of a mathematical expression in terms of time complexity. It is used in computer science to analyze algorithms and to predict their performance.

In this case, we are looking at the big-Oh order of the expression f(n) = 24n²nlogn + 280.

To determine the big-Oh order, we need to find the dominant term in the expression, or the term that grows the fastest as the input size (n) increases.

In this expression, the dominant term is 24n²logn, since it grows much faster than the constant term 280.

Now, we can simplify the expression further. The logarithmic term is a much slower growing term compared to the polynomial term, so we can ignore it.

This means that the big-Oh order of the expression is O(n²), which means that the time complexity of the algorithm represented by the expression is proportional to n².

This means that the time taken by the algorithm will increase rapidly as the input size (n) increases.

Complete Question:

What is the Big-Oh order of the following growth expression?

f(n)=24n+2nlg(n)+280

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5/6 - 1/9 = ?/? - ?/? = ?/?
please help 20 points
i need to know what each ( ?/? ) is

Answers

5/6 - 1/9=?/? - ?/? = ?/? , value of each (?/?) is

5/6 -1/9 =15 /18 -2/18 =13 /18.

As given,

5/ 6 - 1/9 =?/? -?/? =?/?

Convert the given terms into like terms

Least common multiple of (6,9)=18

Value of each ( ?/?)

(5/6 ) × ( 3/3) -(1/9) × (2/2)

= 15 /18 - 2/18

= 13 /18

Therefore,5/6 - 1/9 = ?/? - ?/? = ?/? , value of each (?/?) is equal to

5/6 -1/9 = 15 /18 -2/18 = 13/18.

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As the population of Yardley increases, the amount of garbage it produces also increases. This year, the city produced 130,000 tons of garbage. If the amount of garbage produced increases by 5% each year, how much garbage will be produced 4 years from now?

If necessary, round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

Answer:

EH IT WILL BE 20,000

Step-by-step explanation:

The radius of the base of a cone is decreasing at a rate of 222 centimeters per minute. The height of the cone is fixed at 999 centimeters. At a certain instant, the radius is 131313 centimeters. What is the rate of change of the volume of the cone at that instant (in cubic centimeters per minute)?.

Answers

If the radius of the base of a cone is decreasing at rate of 2 cm/minute and the height is kept constant at 9 cm, the rate of change of the volume at radius 13 cm is 489.4 cm³/minute

To calculate the rate of change, we need to take the derivative of the variables with respect to time.

The volume of a cone is given by:

V = 1/3 . πr²h

Where:

r = radius of the base

h = height

Since the height of the cone is held constant, then the derivative with respect to time is:

dV/dt = 1/3 h. 2πr dr/dt

Parameters given:

dr/dt = 2 cm/minute

h = 9 cm

r = 13 cm

Hence,

dV/dt = 1/3 x 9 x 2π x 13 x 2

dV/dt = 489.4 cm³/minute

Hence, at radius 13 cm, the rate of change of the volume is 489.4 cm³/minute

It looks like there was typos in your question, most probably your question was:

The radius of the base of a cone is decreasing at a rate of 2 centimeters per minute. The height of the cone is fixed at 9 centimeters. At a certain instant, the radius is 13 centimeters. What is the rate of change of the volume of the cone at that instant (in cubic centimeters per minute)?

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engineers measure angles in gradients, which are smaller than degrees. The table shows the conversion of some angle measures in degrees to angles in gradients. What is the slope of the line representing the conversion of degrees to gradients?
Express your answer as a decimal rounded to the nearest hundredth

Answers

The slope of the line is 1.11

What is the slope of a line?

Slope is the ratio of the rise, the vertical change, to the run, the horizontal change of a line.

Given that, engineers measure angles in gradients, which are smaller than degrees,

Slope = (-200+100)/(-180+90) = -100/(-90) = 10/9 = 1.11

Hence, The slope of the line is 1.11

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Answer:

1.11

Step-by-step explanation:

it's correct.

from me to know which one is which for the answer need you guys put can you copy half of the question on to the photo thank you

from me to know which one is which for the answer need you guys put can you copy half of the question
from me to know which one is which for the answer need you guys put can you copy half of the question

Answers

Answer:

The first one is x=-14 the second one is 3

Step-by-step explanation:

The length of a rectangle is 3
more than 5 times its width.
Find the perimeter of this
rectangle if its area is 92 m2.
[?]m

Answers

Let W = width then length = 5W + 3  

Area = W(5W + 3) = 5W2 + 3W = 92  

5W2 + 3W - 92 = 0 has a negative root and the positive root = 4 (by the quadratic formula)  

The length = 23 and the perimeter = 2(L + W) 2 * 27 = 54

I dont know if this is right because I cant see the last part in less its like that

A train leaves sheffield at 1. 48pm and arrives in Londan at 4. 18pm The distance is 170 miles. What was the trains average speed

Answers

the train's average speed was approximately 68 miles per hour.

To calculate the average speed of the train, we need to divide the distance traveled by the time taken.

Given:

Distance: 170 miles

Time taken: 4:18 PM - 1:48 PM = 2 hours and 30 minutes

To calculate the average speed, we first need to convert the time taken to hours. Since there are 60 minutes in an hour, we have:

Time taken = 2 hours + 30 minutes / 60 = 2.5 hours

Now we can calculate the average speed:

Average speed = Distance / Time taken

Average speed = 170 miles / 2.5 hours

Average speed = 68 miles per hour (rounded to the nearest whole number)

Therefore, the train's average speed was approximately 68 miles per hour.

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Please help I put 74 points there is an image

Please help I put 74 points there is an image

Answers

Answer:

x = 37 y = 27

Step-by-step explanation:

x = y + 10

x + y = 64

y + 10 + y = 64

y = 27

64 - 27 = 37

Answer:

What coatside dad said

Step-by-step explanation:

One popcorn kernel weighs 1.23 grams. If a package of popcorn kernels weighs 2 kilograms, approximately how many popcorn kernels does the package hold?

Answers

Answer:

1626.02

Step-by-step explanation:

1 gram is 0.001 kilograms. The bag weighs 2 kilograms and each popcorn is 1.23 grams. 2 kilograms weigh 2000 grams.

convert percents to fractions 58% 92% 54% 49% 20%

Answers

58% would be 29/50 as a fraction.
92% would be 23/25 as a fraction.
54% would be 27/50 as a fraction.
49% would be 49/100 as a fraction.
20% would be 1/5 as a fraction.
hope this helps! :)

Bro I need help explain what is meant by "it's okay for a student to not succeed right away" ima just put it as math:-P​

Bro I need help explain what is meant by "it's okay for a student to not succeed right away" ima just

Answers

Learning is a process that often involves unsuccessful attempts.

This is not failure since options are eliminated toward the correct solution.

Learning and problem solving require passing through a period of sorting through facts and options toward success.

From my understanding (what I think it means), is that it is okay for a student not to understand the problem automatically. They may need a minute or two to re-read it or look over the problem again. It's most likely a harder question than the other ones, or it is a common problem that people have trouble with.

Find the minimum value of the function
f(x) = 0.6x2 – 9.4.x + 29 to the
2
nearest hundredth.

Answers

Answer:

Write properties of function: minimum: f(x)= at r= 47

469

60

6

Step-by-step explanation:

Write properties of function:

469

47

minimum: f(x) = at æ

60

6 Answer: Write properties of function:

469

47 at =

minimum: f(x)=

60

6

I hope its helped huhu. don't report my answet just delete it thank u . brainlest pls if u can. studied well.

I need help!!!! I don’t understand these well and I have to do 5 of these.

I need help!!!! I dont understand these well and I have to do 5 of these.

Answers

I believe it would be b

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

If p − 1 is a factor of p4 + p2 + p − k, the value of k is __.

Answers

The value of k is given as follows:

k = 2.

How to obtain the value of k?

The polynomial for this problem is defined as follows:

P(p) = p^4 + p² + p - k.

We have that p - 1 is a factor of the polynomial, meaning that according to the Factor Theorem, P(1) = 0.

Hence, considering that when p = 1, P = 0, the value of k is obtained as follows:

1^4 + 1² + 1 - k = 1

3 - k = 1

k = 3 - 1

k = 2.

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How do I simplify the expression

How do I simplify the expression

Answers

ANSWER: ab√3ac

Is this enough for you ?
How do I simplify the expression

micaiah places coins in the order of penny, nickel, dime, penny, nickel, dime, and so on, as shown, so that each row contains one more coin than the previous row. what is the total value in cents of all coins in the th row?

Answers

The total value in cents of all coins in the any row would be 16 cents.

In the pattern you described, the coins are arranged in rows such that each subsequent row has one more coin than the previous row. Let's analyze the values of the coins to determine the total value in cents of all the coins in the th row.

Assuming the values of the coins are as follows:

Penny: 1 cent

Nickel: 5 cents

Dime: 10 cents

We can observe that the pattern repeats after every three coins. The first three coins in the pattern are penny, nickel, dime. These coins have a total value of 1 + 5 + 10 = 16 cents.

For the subsequent rows, the pattern repeats with an offset of 3. For example, in the fourth row, the coins are penny, nickel, dime, which have the same total value as the first row, i.e., 16 cents.

So, regardless of the value of "th" (the row number), the total value in cents of all the coins in that row will always be 16 cents.

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Each side of a square office is 3 meters long. It will cost $44.14 per square meter to replace
the carpet in the office. What would be the total cost to replace the carpet?

Answers

Answer:

3*3*44.14$

That's the answer

Use a calculator

solve for the value of r

solve for the value of r

Answers

Answer:

\(r = 13\)

Step-by-step explanation:

\((8r + 5) + (5r + 6) = 180 \\ 13r + 11 = 180 \\ 13r = 180 - 11 \\ 13r = 169 \\ \\ r = \frac{169}{13} \\ \\ r = 13\)

The parent function for a quadratic by f(x)=x^2

The parent function for a quadratic by f(x)=x^2

Answers

Answer:

The most basic quadratic function is y = x2. This is also called the parent function of a quadratic function. Sometimes you will see it written in function notation as f(x) = x2. The graph of y = x2 looks like the graph below.

If x is 5, then 6x = _____. please help >-

Answers

Answer:

30

Step-by-step explanation:

6x

Replace 'x' with 5.

6(5) =

6 * 5 =

30

Hope this helps.

Answer:

30

Step-by-step explanation:

6 x 5 = 30

82+9/3? find the answe using pemdas

Answers

Answer:

82+(9/3)

Division comes first.

9/3=3

82+3=85

85

Step-by-step explanation:

Answer:

85

Step-by-step explanation:

PEMDAS

P - Parenthases

E - Exponents

M - Multiply

D - Divide

A - Add

S - Subtract

Using the order of opperations above, division comes before addition, so:

9 / 3 = 3.

Then you move on to the left:

3 + 82 = 85.

Complete these sentences to describe the rules of dividing signed numbers.


The quotient of two integers with same sign is always




.

The quotient of two integers with different signs is always

Answers

The quotient of two integers with the same sign is always positive numbers.

The quotient of two integers with different signs is always negative numbers.

When you divide two integers with the alike sign, the result is always positive. Just divide the absolute values and make the answer positive. When you divide two integers with dissimilar signs, the result is always negative.

The basic rule when it comes to multiplying or dividing integers is the same. If both numbers have the same signs, the answer will have a positive sign. If both numbers are opposite in signs, the answer will have a negative sign.

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please help asap
A student is graduating from college in 12 months but will need a loan in the amount of $10,958 for the last two semesters. The student may receive either an unsubsidized Stafford Loan or a PLUS Loan. The terms of each loan are:

Unsubsidized Stafford Loan: annual interest rate of 3.85%, compounded monthly, and a grace period of six months from time of graduation

PLUS loan: annual interest rate of 4.15%, compounded monthly, with a balance of $11,421.51 at the time of repayment

Which loan will have a higher balance, and by how much at the time of repayment?

The Stafford loan will have a higher balance by $34.10 at the time of repayment.
The PLUS loan will have a higher balance by $34.10 at the time of repayment.
The Stafford loan will have a higher balance by $186.87 at the time of repayment.
The PLUS loan will have a higher balance by $186.87 at the time of repayment.

Answers

Answer:

The correct option is The PLUS loan will have a higher balance by $34.10 at the time of repayment. Hence Option B is correct.

Step-by-step explanation:

What is the slope of the line that contains these points?

xx
9
99
13
1313
17
1717
21
2121

yy

24
−24minus, 24

21
−21minus, 21

18
−18minus, 18

15
−15

Answers

The slope of the line that contains these points is 0.75.

The slope of a line is the change in y-values divided by the change in x-values. In other words, it is the rise over the run. We can use the points given to calculate the slope.

Let's take the first two points (9, -24) and (13, -21) and use the formula for slope:

slope = (y2 - y1) / (x2 - x1)

slope = (-21 - (-24)) / (13 - 9)

slope = (3) / (4)

slope = 0.75

We can do the same with the other two points (17, -18) and (21, -15):

slope = (-15 - (-18)) / (21 - 17)

slope = (3) / (4)

slope = 0.75

Since the slope is the same for both sets of points, we can conclude that the slope of the line that contains these points is 0.75.

The slope of the line that contains these points is 0.75.

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G(t)=(t+1) 2 −20. 25g What are the zeros of the function?

Answers

The zeros of the function G(t) are given by t = -1 + √(20.25g) and t = -1 - √(20.25g).

What is algebra?

Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas. It involves the study of variables, expressions, equations, and functions.

To find the zeros of the function G(t), we need to find the values of t that make G(t) equal to zero. So, we start by setting G(t) to zero and solving for t:

G(t) = 0

(t+1)2 - 20.25g = 0 [substituting G(t) in place of 0]

(t+1)2 = 20.25g [adding 20.25g to both sides]

t+1 = ±√(20.25g) [taking the square root of both sides]

t = -1 ± √(20.25g) [subtracting 1 from both sides]

So, the zeros of the function G(t) are given by t = -1 + √(20.25g) and t = -1 - √(20.25g).

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Triangle A has sides 7, 12, and 18. Triangle B has sides 5, 9, and 5. Triangle C has sides 8, 8, and 8. What kind is each triangle? *1. A: Scalene, B: Equilateral, C: Isosceles2. A: Scalene, B: Isosceles, C: Equilateral3. A: Isosceles, B: Scalene, C: Equilateral4. A: Isosceles, B: Equilateral, C: Scalene Georgia Kassem installs fencing. She is paid $14.25 per hour for an 8-hour dayand time and a half for overtime for any work over 8 hours per day. What is herpay for a week when she worked, 7, 12,9, 10, and 10 hours? Which pleading is filed by a defendant?A. Interrogatories B. Complaint C. Answer D. Summons In step 5, of the experiment, a student accidentally added 2.0g of Mg metal instead of Zn, to react with 5.0g of CuSO4 . How will this affect the result of the experiment?A. The copper (II) sulfate solution would react with the Mg, because Cu is less active than Mg. However, the excess Mg would not react with the 6M HCl because Mg is less active than hydrogen.B. There will be no effect in the final result, all the copper (II) sulfate will be converted to Cu.C. The copper (II) sulfate solution would react with the Mg, because Cu is less active than Mg. However, not all the copper (II) sulfate was reacted to form Cu.D. The copper (II) sulfate solution would not react with the Mg. This is because Cu is more active than Mg. Explain how science affects people's lives on a daily basis. Please write 3 to 5 sentences with proper grammar. For 0 x < 360, what are the solutions to cos(x/2) sin(x) = 0? A{0, 60, 300} B{0,120, 240} C{60, 180, 300} D{120,180, 240}Precalc The temperature, pressure, and precipitation conditions of the atmosphere for a specific place on a given day is called , whereas a longer term view of these same factors, typically taken over a period of many years, is called. Describe in some detail two safe practices that you can use to prevent the spread and growth of foodbourne pathogens in your home? Will Mark Brainliest if correct. Please be honest. Which early USsettlement (the first permanentEnglish settlement in America) wasfounded by a charter? Area of square = 9 mm2Perimeter of square= When measuring vein diameters for use as a conduit, how should the veins be measured? Therese is throwing a party and wants to make goodie bags. She has 26 lollipops and 14 tootsie rolls. What is the greatest amount of goodie bags can she make? How many lollipops will be in each? How many tootsie rolls? Please help 8th grade georgia history what were the range wars? The factory owner is not in the habit of fraternizing ------ his workers The difference of the square of a number and 9 is equal to 8 times that number. Find the positive solution. Find the missing value. 8-?=-5 HELPPP! Peter has just set up another portfolio that comprises of two shares only: $3,500 Blue shares and $4,700 Red shares. Below is the data of this portfolio:Blue RedExpected return 17% 23%Standard Deviation of return 22% 39%Correlation of coefficient (p) - 0.45Compute the expected return and measure the risk of Peters portfolio by calculating the portfolio standard deviation. 2. The measure of the amount of matter in anobject is knownas? Zostner-Zostner Industries (ZZI) is a manufacturer of warehouse and inventory tracking systems. ZZI has four U.S. plants and three warehouses. The company employees 3,500 workers at these facilities and the corporate headquarters. ZZI is using legacy systems for its accounting, materials requirement planning, receivables, payables, inventory, and payroll processes. These various legacy systems were developed at different times and do not necessarily have common data formats or programming. Often, ZZI must export data from one legacy system to incorporate into a second legacy system. The president has decided that the company must switch to an ERP system to bring the companys systems up to date and to enable the company to remain competitive.Refer to chapter 6 and discuss these topics, using a business report format:1. Describe how an ERP system could improve performance at ZZI.2. Describe the relative advantages and disadvantages of a big bang versus a modular implementation.3. If ZZI chooses a modular implementation, how might it choose the order in which to implement modules?