Mathematics Middle School

Which of the following statements describes this sequence 1, 3, 9, 27

I this is an arithmetic sequence

II The common ratio for this sequence is 3

III the next term in the sequence is 54

IV The sequence can be described by the expression n+3

I and IV

I,II, and III

II

Answers

Answer 1
Final answer:

The given sequence is a geometric sequence with a common ratio of 3. The next term of the sequence is 81, not 54. The sequence cannot be described by the expression n+3 or as an arithmetic sequence.

Explanation:

The sequence given is 1, 3, 9, 27, which is a sequence where each term is a multiple of the previous term. This type of sequence is called a geometric sequence. In this particular sequence, it is clear that every term is being multiplied by 3 to obtain the next term. Hence, the common ratio for this sequence is indeed 3 (Statement II).

This sequence is not an arithmetic sequence (Statement I is false) because the difference between successive terms is not constant. Furthermore, the sequence can't be described by the expression n+3 (Statement IV is false) because the sequence doesn't increment by adding 3 to each term; instead, it increments by multiplying the previous term by 3. Lastly, the next term in the sequence is not 54 (Statement III is false). It is 81 because you multiply the previous term (27) by the common ratio (3) to get 81.

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Related Questions

Yesterday, Dustin biked 4 1/2 miles, jogged 2 3/4 miles, and swam 3 1/8 miles. How many miles did he travel while exercising?

Answers

Yesterday during the exercise Dustin spent time on three exercises:

1) Bike.
Distance Covered = [tex]4 \frac{1}{2}=4.5 [/tex] miles

2) Jogging
Distance Covered = [tex]2 \frac{3}{4}=2.75 [/tex] miles

3) Swimming
Distance Covered = [tex]3 \frac{1}{8}=3.125 [/tex] miles

The Total distance covered during the exercise will be the sum of distance covered during each activity.

So,

Total Distance Covered during exercise = 4.5 + 2.75 + 3.125 = 10.375 miles

Thus, Dustin covered 10.375 miles yesterday while exercising. 

Your answer would be 10 3/8 miles

Whenever you see ______ it is a blank spot where I need to fill in information.


An employee at a state park has 43 photos of animals found at the park. She wants to arrange the photos in rows so that every row except the bottom row has the same number of photos. She also wants there to be at least 4 rows.

Complete the description of two different ways she can arrange the photos.

She can arrange the photos as
______ rows of 10 photos and 1 row of ______
photos or arrange the photos as ______
rows of 8 photos and 1 row of ______
photos.

Answers

she can arrange the photos as 4 rows of 10 photos and 1 row of 3 photos or arrange the photos as 5 rows of 8 photos and 1 row of 3 photos.

Two mechanics worked on a car. The first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. Together they charged a total of $1400. What was the rate charged per hour by mechanic if the sum of the two rates was $130 per hour

Answers

Let's define variables:
 x = Rate in $ / hr of the mechanic working 15hr
 y = Rate in $ / hr of the mechanic working 5hr
 We have the following system of equations:
 x + y = 130
 15x + 5y = 1400
 Solving the system we have:
 x = $ 75 / hr
 y = $ 55 / hr
 Answer:
 the rate charged per hour by mechanics was:
 x = $ 75 / hr
 y = $ 55 / hr

The lock on a safe requires a three-digit code to open it. The three digits must each be a number from 0-9 (10 possible numbers). Each number cannot be used more than once in the code. How many codes could there be?

A.1,000
B.720
C.30
D.120

Answers

The correct answer is Choice B: 720.

To solve this, you have to use the Fundamental Counting Principal. You find the total number of options for each of the digits, then multiply them together.

For the first one, there are 10 options, then 9 options and finally 8 options.

10 x 9 x 8 = 720
Final answer:

This problem can be solved through permutation in mathematics. Without repetition, with 10 possible digits (0-9), there are 10 choices for the first digit, 9 for the second, and 8 for the third. The total number of 3-digit codes is 10*9*8 = 720.

Explanation:

The subject of this question is combinations in mathematics. To solve it, you have to calculate the number of ways you can arrange 3 digits from 0-9 (10 digits), when each digit can only be used once.

This problem is a type of permutation (an ordering or arrangement of objects), specifically a permutation without repetition. With 10 possible digits (0-9), there are 10 choices you can make for the first digit. After the first digit is chosen, there are 9 digits left for the second place, and 8 digits left for the third place.

Therefore, the total number of possible 3 digit codes is calculated as follows: 10*9*8 = 720. Hence, "option B is the correct answer".

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You are given the following list of values: 5.8, 6.1, 4.9, 10.9, 0.8, 6.1, 7.4, 10.2, 1.1, 5.2, 5.9 Which values are outliers?

Answers

To find the outlier your have to find the IQR( interquartile range), the upper fence and the lower fence. The IQR is the difference between the first and third Quartile. Q3(7.4) -Q1(4.9)= 2.5. Use the IQR to find the Upper fence and Lower fence.
Upper fence- (7.4)+1.5(2.5)= 11.15
Lower fence- (4.9)-1.5(2.5)= -1.15
Make sure your values are in the right order so you can see what numbers are below or above the Upper and lower fences.  There are no outliers.

If f(x) = x2 and g(x) = 1 over 2x + 3 , find g(f(-1)).

Answers

f(x)=x^2
g(x)=1/(2x+3)
g(f(-1))=?

x=-1→f(-1)=(-1)^2→f(-1)=1
g(f(-1))=g(1)=1/[2(1)+3]=1/(2+3)→g(f(-1))=1/5

Answer: Third option 1/5

Sara got 98, 100, 65, 78, 98, 46, 100, 100, 45, and 50 on her reading test. Lee got 97, 67, 89, 99, 100, 45, 79, 89, 58, and 67 on his reading test. What is the mean of Sara's reading test? What is the mean of Lee's reading test? please help with both questions.

Answers

Answer:

Saras Mean on her reading test is 78

Lee's Mean on his reading test is 79

Step-by-step explanation:

You add grades for Sara's test together and then you will divide by the= number of graded test there were and you will get 78.

You add Lee's Grades for the test together and divide by the number of graded test there were and you will get 79.

The mean of Sara's reading test scores is 78, and the mean of Lee's reading test scores is 79.

To find the mean (average) score of Sara's and Lee's reading tests, we need to add up all of the scores and then divide by the number of scores.

Let's start with Sara's scores:

Sara's scores: 98, 100, 65, 78, 98, 46, 100, 100, 45, and 50.

Add up Sara's scores:

98 + 100 + 65 + 78 + 98 + 46 + 100 + 100 + 45 + 50 = 780

Divide the total by the number of scores (which is 10):

Mean of Sara’s scores = 780/10 ​=78

Now, let's calculate the mean for Lee's scores:

Lee's scores: 97, 67, 89, 99, 100, 45, 79, 89, 58, and 67.

Add up Lee's scores:

97 + 67 + 89 + 99 + 100 + 45 + 79 + 89 + 58 + 67 = 790

Divide the total by the number of scores (which is 10):

Mean of Lee’s scores = 790/10 ​= 79

So, the mean of Sara's reading test scores is 78, and the mean of Lee's reading test scores is 79.

ASAP plzzzz help I need answerssss

Answers

a] David's speed during the period:
i] AB
speed=distance/time
time taken between AB=0.5 hours
distance=20 km
thus
speed=20/0.5=40 km/h

ii]BC
time taken between BC=1.5 hours
distance=20
speed=20/1.5=13 1/3 km/h


b] Average speed for the entire time will be:
average speed=(total distance)/(total time)
total distance=(20+20+20)=60 km
total time=3 hours
thus
average speed=60/3=20 km/h


c] David's distance 2 hours and 15 minutes from the starting point was:
 distance=20+20+10=50 km

Niona needs $50 to go on a school trip. She sells necklaces for $15 each and bracelets for $5 each. If she raises the money by selling half as many necklaces as bracelets, how many necklaces and bracelets does she sell? Write a system of linear equations that represent this problem.

Answers

since the $50 fact is unnecessary, it will be 15 minus 5 divided by 2. Your welcome, and I hope it helps!! 
Final answer:

To solve the problem, create a system of linear equations representing the sale of necklaces and bracelets. The two equations will be 15n + 5b = 50 and n = 0.5b, which describe the total funds raised and the relationship between the number of necklaces and bracelets sold.

Explanation:

Niona is trying to raise $50 for her school trip by selling necklaces and bracelets. We need to establish a system of linear equations to represent the problem. Let's define n as the number of necklaces and b as the number of bracelets. According to the problem, Niona sells necklaces for $15 each and bracelets for $5 each, and she sells half as many necklaces as bracelets.

Therefore, we can write the first equation based on the total amount of money raised:

15n + 5b = 50

And the second equation based on the relationship between the number of necklaces and bracelets:

n = 0.5b

Solving this system will give us the number of necklaces and bracelets Niona needs to sell to raise $50 for her trip.

What is the sample space when a coin is tossed twice?

Answers

Sample Space = {HH,HT,TH,TT} - Hope this helps!

Answer:

HH, HT, TT, TH

Step-by-step explanation:

Your welcome.

USA testprep squad waz good

What's the answer to this? Also if you could explain that would be great but you don't have to! (I picked that answer by accident :/)

Answers

I would go with the first answer choice, 1/6.

If you count the combinations only one comes out to exactly art, math, science in that order.

Out of 28 students in a class, 7 have blue eyes. What is the probability a student picked at random from the class does NOT have blue eyes?


A) 1/4

B) 3/4

C) 1/7

D) 6/7

Answers

3/4 because 1/4 of the class has blue eyes, so the other 3/4 don't.
there are 28 total and 7 have blue eyes meaning the probability of picking so.eone with blue eyes is
[tex] \frac{7}{28} = \frac{1}{4} [/tex]
so the probability of pi king someone without blue eyes is the entire sample minus the probability of blue eyes so
[tex]1 - \frac{1}{4} = \frac{4}{4} - \frac{1}{4} = \frac{3}{4} [/tex]
so there is 75% chance of picking someone without blue eyes.

if u like my answer please rate as brainliest! thx

At a ballroom dancing lesson there were twenty-three students. Deena danced with six boys, Chloe with seven, Moira with eight and so on for all the girls up to the last girl, Anna, who danced with all the boys. How many boys were at the lesson?

Answers

There were 9 girls at the party and 14 boys 

First girl, Deena danced with 6 boys.

Second girl, Chloe danced with 7 boys.

Third girl, Moira danced with 8 boys.

And so last girl, Anna danced with all boys, given is an arithmetic series as 6, 7, 8, ........, a+(n-1)d.

Let's assume number of girls are 'n'.

Last term of a.p. series would be number of boys = a+(n-1)d.

Here a=6 and d=1, so number of boys = 6+(n-1)*1 = 5+n.

Given there were 23 students.

So total students = number of girls + number of boys

23 = n + (5+n)

23 = 2n + 5

2n = 23-5 = 18

n = 9.

Hence, there were 9 girls and 14 boys.

Write a problem that involves finding the unknown measure of a side of a rectangle include the solution?

Answers

Problem:
 The area of the patio of a relative's house is 20 square meters.
 The width of the patio is 2 meters.
 What is the length of the patio?
 Solution:
 The area is:
 A = (w) * (l)
 Where,
 w: width
 l: long
 Clearing l we have:
 l = A / w
 Substituting values:
 l = 20/2
 l = 10 meters

area of a square when 1 side is 44cm

Answers

Since all sides of a square are equal all sides of the square would 44cm

To find the area it’s multiply the base and height: 44*44=1936cm^2

So your answer would be 1936cm^2

I hope this helps :)
How do you find the area of a square? Length*Width, right? So, a square has equal sides, so all we have to do is multiply 44 cm by 44 cm to get 1936 centimeter squared! I hope this helped!

what is the value of the missing number in the sequence

4,12,36,__,324,972,2916

Answers

108 
4 times 3 =12
12 times 3 =36 
36 times 3 =108
etc

A rectangular horseshoe pit is 53 inches long and 32 inches wide.



What is the area of the horseshoe pit?

Answers

it’s either 85 or 1696

What is the difference in the sum of the exterior angles measures of a rectangular nonagon and a rectangular dodecagon?

Answers

The sum of the exterior angles of ANY polygon = 360 degrees.So, the difference = 360 - 360 = 0.

The sum of the exterior angles of any polygon is 360 degrees, thus the difference between the sums of the exterior angles of a nonagon and a dodecagon is 0 degrees.

The question asks about the difference in the sum of the exterior angle measures of a nonagon and a dodecagon. The key concept here is that for any polygon, the sum of the exterior angles is always 360 degrees, regardless of the number of sides.

Therefore, the sum of the exterior angles of both a nonagon (9-sided polygon) and a dodecagon (12-sided polygon) would be 360 degrees each. Consequently, the difference in their sums would be 0 degrees.

Which figures are familiar?

Answers

X and Z are the only figures which are similar. This answer can be found when one sets up the proportion 36/4=45/5=27/9 and finds that all parts equal 9


Anna calculated the area of parallelogram with a base of 72
5
m and a height of 2 m. Her work is shown here.

Answers

step 2   7 and 2 over 5 is 7*5=35+2=37 over 5 not 35 over 5


hope that helps

Answer:

a , c

Step-by-step explanation:

on edge 2021

How can i find the missing angle of this shape?

Answers

The missing angle is 130 degrees.

The sum of all the angles of a hexagon equal 720 degrees. So, you'd add all the known angles together (this gives you 590), then subtract that from 720. Thus getting 130 degrees as a final answer.

I hope this helps!

What is the outlier in the following set?
28,31,40,26,38,65,39,35,30

Answers

The outlier is 65

All the numbers are from 26 - 40 EXCEPT for 65

Hope this helps :)

Solve and graph on number line.
a-1 > -9

Answers

I’m not sure if this is helpful at all, but I put it in a math app called photomath, and the picture attached is what I got, a>8

A person needs to pay TK. 500 to by pencils and TK. X for any additinal unit of pencil.If the cumstomer pays a total of TK. 4700 for 1200 pencils what is the value of X?

Answers

Answer:

3.50

Step-by-step explanation:

First we take the 500 fee for purchasing pencils off of the total:

4700-500 = 4200

This means we pay 4200 for 1200 pencils; dividing this will tell us the amount per pencil, x:

4200/1200 = 42/12 = 21/6 = 7/2 = 3.5

Thus we pay 3.50 per pencil.

The value of X for any additional pencil is gotten as;

X = 3.5

We are told that base amount for pencils is TK. 500 and amount per pencil is TK. X.

This means formula for total cost for n number of pencils is;

C(n) = 500 + Xn

We are told that a customer pays TK. 4700 for 1200 pencils. Thus;

C(n) = TK. 4700

n = 1200 pencils

Therefore;

4700 = 500 + 1200X

1200X = 4700 - 500

1200X = 4200

X = 4200/1200

X = TK. 3.5 per pencil

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a day care center charges a $75 enrollment fee plus $100 per week which of the following represents the cost of sending a child to daycare for 14 weeks?

Answers

Answer:

cost of sending a child to daycare for 14 weeks is $1475

Step-by-step explanation:

a day care center charges a $75 enrollment fee plus $100 per week

LEt x be the number of weeks

cost of sending a child to day care = 100x + 75

To find the cost for 14 weeks, we plug in 14 for x

cost = 100(14) + 75= 1400+75 = 1475

cost of sending a child to daycare for 14 weeks is $1475

What expression is equal to -1/3(2x+15)-3

Answers

So, first let's distribute the -1/3:
([tex] \frac{-2x}{3} [/tex] -5) - 3
Open the parentheses:
[tex] \frac{-2x}{3} [/tex] - 8 is the answer

WILL GIVE BRAINLIEST: Which of the following are solutions to the equation below
x^2+3x-18=0
A 9
B 3
C -3
D 6
E 18
F -6

Answers

I Believe it is -3 and 6

What is the mode of the given data set? 65, 45, 79, 56, 63, 45, 71, 69, 65, 53, 45

Answers

The mode of that data set is 45.
45
line them up from least to greatest an find the number that repeats the most
45 repeats 3 times

Giving 10 points! Please help!
Which of the following expresses 12 + 42 by using the GCF of the two numbers? (3 points)

A. 3(9 + 14)
B. 3(4 + 38)
C. 6(2 + 7)
D. 6(6 + 36)

Answers

Hey there!

[tex]12 + 42 = 6(2 + 7)[/tex]

Answer is C. 6(2 + 7)

Hope this helps. - M

How many inches are equal to 10 centimeters? Remember, 2.54 cm = 1 in. Round your answer to the nearest hundredth. Do not include units in your answer.

Answers

Answer:

10 centimeters = 3.94 .

Step-by-step explanation:

We are given 2.54 cm = 1 in.

We need to convert 10 centimeters into inches.

We have 2.54 cm = 1 in.

On dividing both sides by 2.54, we get

[tex]\frac{2.54}{2.54}cm = \frac{1}{2.54} in[/tex]

1cm=[tex]\frac{1}{2.54}[/tex] in.

In order to find the number of inches in 10 centimeters, we need to multiply [tex]\frac{1}{2.54}[/tex] by 10.

On multiplying [tex]\frac{1}{2.54}[/tex] by 10, we get

=[tex]10\times \frac{1}{2.54}[/tex]=3.94.

Therefore,

10 centimeters = 3.94.

10 centimeters is approximately equal to 3.94 inches when converted using the conversion factor of 1 inch equals 2.54 centimeters.

The student is asking for conversion of a length measurement from centimeters to inches. Given that 1 inch equals 2.54 centimeters, you can convert 10 centimeters to inches by dividing by the conversion factor. Here's the calculation:

Identify the conversion factor: 2.54 centimeters per inch.

Divide the number of centimeters by the conversion factor: 10 cm \/ 2.54 cm/in = approximately 3.94 inches.

Therefore, 10 centimeters is approximately equal to 3.94 inches when rounded to the nearest hundredth.

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