Arithmetic and geometric sequences plato/edumentuM

Arithmetic And Geometric Sequences Plato/edumentuM

Answers

Answer 1

Answer:

A

Step-by-step explanation:

every term of the sequence is created by multiplying the previous term by -2.4

to get the ratio (or multiplication factor) of the sequence :

4 × r = -9.6

r = -9.6/4 = -2.4

and as you can easily check, the following y values use the same factor.

so, as multiplication is used, it is a geometric sequence.

if addition were used, it would be an arithmetic sequence.

but the differences between the y values are clearly not constant (as it would be, if we added a fixed constant to every term to create the next).

so, B and D are automatically wrong.

and C is wrong, because the given ratio or multiplication factor cannot be right :

4 × 0.4 = 1.6 and never -9.6


Related Questions

True or false: The range is calculated by adding the highest and lowest scores in a data set and then dividing by the number of scores in the dataset.

Answers

Answer:

False

Step-by-step explanation:

You calculate range by first putting all the numbers in order. Then subtract the lowest number from the highest.

What the question is thats how to calculate the median.

Have a wonderful day!

From the definition of the range, we understood that the given statement is false.

The given statement is "The range is calculated by adding the highest and lowest scores in a data set and then dividing by the number of scores in the dataset".

We need to state whether the given statement is true or false.

What is the range?

The range formula is mostly used in statistics to determine the range given in a particular data set. The formula helps in determining the centre of the set by finding the difference between the lowest and the highest number. In distribution, the large range means higher variability whereas the small range means low variability. The range formula includes the other aspects of statistics such as mean, median, and mode. Hence, the formula to calculate the range is:

R = Highest Value (H) - Lowest Value (L).

Therefore, from the definition of the range, we understood that the given statement is false.

To learn more about the range visit:

https://brainly.com/question/4135956.

#SPJ2

Evaluate for a = 2 and b = 3.

(a + b)2

Answers

[tex]\sf\fbox\red{Answer:-}[/tex]

(2+3)²

=(5)²

=25

[tex]\small\fbox{\blue{\underline{mαrk \; mє \; вrαínlíєѕt \; plєαѕє ♥}}}[/tex]

You see how the a is labeled a = 2 and b = 3
place those where the letters go and add them up. for example a = 4 and b = 3. Well then A would be 4 and B Would be 3. It would look like this (4+3)2. so add those together and it would give you 7 then just multiply by 2. Which gives you 14. Hope to help :)))

Simplify (-3.7x) x (5.1y)

Answers

Answer:

-18.87xy

Step-by-step explanation:

[tex]\left(-3.7x\right)\left(5.1y\right)[/tex]

[tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a[/tex]

[tex]=-3.7x\cdot \:5.1y[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:3.7\cdot \:5.1=18.87[/tex]

[tex]=-18.87xy[/tex]

~Learn with Lenvy~

Given line m is parallel to line n. What theorem or postulate justifies the statement? ∠1 ≅ ∠4 Corresponding angles postulate Alternate interior angle theorem Linear Pair postulate Vertica

Answers

Answer:

corresponding angles postulate

Step-by-step explanation:

just took the test ;)

Answer: Corresponding angles postulate

Choose the missing step in the given solution to the inequality −6x − 10 > 14 + 2x. (1 point)


−6x − 10 > 14 + 2x


_______________

-8x>24

x 14

B.) -8x -10 >14

C.)−4x − 10 < 14

D.) −8x − 10 < 14

Answers

Answer:

- 8x > 24

Step-by-step explanation:

Given

- 6x - 10 > 14 + 2x ( subtract 2x from both sides )

- 8x - 10 > 14 ( add 14 to both sides )

- 8x > 24 ← required missing step

Divide both sides by - 8, reversing the symbol as a result of dividing by a negative quantity.

x < - 3 ← is the solution

Find the 84th term of the arithmetic sequence 18, 31, 44,. 18,31,44,

Answers

the answer is 1097 because I calculated every single thing.

ASAP I JUST WANT THE ANSWER
Select the correct answer.

Circle M dilated by a scale factor of 3 gives circle N. If the circumference of circle N is 6 cm, what is the circumference of circle M?




A.

54 cm

B.

3 cm

C.

2 cm

D.

18 cm

Answers

Step-by-step explanation:

2 cm

scale factor of 3

then 6/3 = 2 cm

Answer:

C.  2 cm

Step-by-step explanation:

As the circumference is a measure of length (one dimension), we can simply divide the given circumference of circle N by the scale factor to find the circumference of circle M:

⇒ circumference of circle M = circumference of circle N ÷ scale factor

                                                = 6 cm ÷ 3

                                                = 2 cm

(If we were working with area, we would have to divide/multiply by the square of the scale factor, since we would be working in 2 dimensions)

I need help with this ​

Answers

Answer:

Step-by-step explanation:

1- angle JZF

supplementary angle or straight angle =180 degree

HZJ+JZF=HZF straight angle

2- JZA

complementary angle or right angle =90 degree

HZJ+JZA=HZA ( right angle)

if angle HZJ=38 degrees

HZJ+FZJ=180

FZJ=180-38

FZJ=142 degrees

HZG+HZJ=180

HZG=180-38=142 degrees ( which is vertical angle to FZJ and equal to it)

HZG=142 degrees

AZJ+HZJ=90 degrees

AZJ=90-38

AZJ=52 degrees

2. During typhoon Ambo, PAGASA tracks the amount of accumulating rainfall. For
<en place.
the first three hours of typhoon, the rain fell at a constant rate of 25mm per hour.
The typhoon slows down for an hour and started again at a constant rate of 20 mm
per hour for the next two hours. Write a piecewise function that models the amount
of rainfall as function of time.​

Answers

Answer:

The piecewise equation is given as :[tex]A(t)=\begin{cases} 25x& \text{ if } 0 \leq x \leq 3 \\ 75& \text{ if } 3<x<4 \\ 75+20(x-4) & \text{ if } 4 \leq x \leq 6\end{cases}[/tex]

Step-by-step explanation:

Let x be the time in hour and A(x) be the amount of accumulating rainfall at time x.

We are given that in the first three hours the rain fell at a constant rate of 25mm per  hour

Amount of rainfall in 1 hour = 25

Amount of rainfall in t hours = 25x

[tex]A(x) = 25x ; 0 \leq x \leq 3[/tex]

The rain then slows down and remains constant

So, Amount of rain for that hour = [tex]25 \times 3 = 75 mm[/tex]

75 mm ; 3

Now we are given that started again at a constant rate of 20 mm  per hour for the next two hours.

Amount of rain after 4 hours = [tex]75+20(x-4) ; 4 \leq x\leq 6[/tex]

The rain increases at a rate of 20t from 4 ≤ x ≤ 6.

Hence the piecewise equation is given as :[tex]A(t)=\begin{cases} 25x& \text{ if } 0 \leq x \leq 3 \\ 75& \text{ if } 3<x<4 \\ 75+20(x-4) & \text{ if } 4 \leq x \leq 6\end{cases}[/tex]

someone please help me, I will give brainliest

find the indicated side of the triangle

Answers

Answer:

28√2

Step-by-step explanation: i promise its the answer.

Answer:

28

Step-by-step explanation:

Its the top part  for the number

HELPPPP

find value of x and y

Answers

X= 125 bc it is a linear pair w 55 so you subtract 55 from 180 and get 125
Y=125 bc it is an alternate interior angle of x

PLEASE HELP!!!
A student decreases the temperature of a 397 cm3 balloon from 515 K to
220 K.
Assuming constant pressure, what should the new volume of the balloon be?
Round your answer to one decimal place.

Answers

Answer:

P V = N R T      ideal gas equation

V2 / V1 = T2 / T1       dividing equations

V2 = 397 cm^3 * (220 / 515) = 170 cm^3

Heidi wants to buy a bike.She has already saved $57 and plans to save $12 per week.Consider the following information: y=12x+57 x= the number of weeks y= the total money saved .Which of the following statements is TRUE

Answers

Answer:

It will increase by 12 every week, 57 is just what she already had, or in slope-intercept form, 57 is b

Step-by-step explanation:

4x + 3=10
can someone please help solve for x ​

Answers

Answer:

x = 7/4

Step-by-step explanation:

4x + 3 = 10

4x = 10 - 3

4x = 7

x = 7 ÷ 4

x = 7/4

hope that helps...

Hello there! I am EnjoyingLife, and I hope you find my answer helpful :)

The first step is to subtract 3 from both sides (remember the Golden Rule of Algebra: Whatever we do to one side, we do to the other)

[tex]\tt{4x+3-3=10-3}[/tex]

[tex]\tt{4x=10-3}[/tex]

[tex]\tt{4x=7}[/tex]

Divide both sides by 4 in order to isolate x:

[tex]\tt{x=\frac{7}{4}[/tex]

Hope it helps!

Have an amazing day!

Good luck!

[tex]\tt{EnjoyingLife}[/tex]

1. Find the difference.
982.2 - 95.32

Answers

Answer: 886.88

Explanation: 982.2-95.32=886.88 you take one from the hundreds place and add it to the tens, then you take from the tens place then add it to the ones. Then you take the ones place and add one to the tenths place

consider the following two linear equations -2x+4y=4 "2x+8y=8" solve for the point of intersection

Answers

[tex] - 2x + 4y = 4[/tex]

[tex]2x + 8y = 8[/tex]

Add the systems together:

[tex]2x - 2x + 4y + 8y = 4 + 8[/tex]

[tex]12y = 12[/tex]

[tex]y = 1[/tex]

Substitute y=1 in any equation:

[tex]2x + 8(1) = 8[/tex]

[tex]2x + 8 \: = 8[/tex]

[tex]2x = 0[/tex]

[tex]x = 0[/tex]

Define point A as the intersection between the two lines:

[tex]a(0. \: .1)[/tex]

can some one help
pleassse

Answers

Answer:

For the first one, it is

1. C: 3

2.B, 7

3. D, 2

4. A, 0.5

Step-by-step explanation:

A=b
B=b
C=c
B=b
You welcome :)

Monica has $20. she needs to buy a gallon of milk that costs $2.50. she also wants to buy yogurt, which costs $1.20 a cup. which inequality can you use to find the number of cups of yogurt monica can buy? 1.20x 2.5 greater-than-or-equal-to 20 1.20x 2.5 less-than-or-equal-to 20 1.20x 2.5 < 20 1.20x 2.5 > 20

Answers

The inequality which is used to find the number of cups of yogurt Monica can buy is,

[tex]1.20x+2.5\leq20[/tex]

What is the inequality equation?

Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.

Monica needs to buy a gallon of milk that costs $2.50. She also wants to buy yogurt, which costs $1.20 a cup. Let suppose the number of cups of yogurt bought by Monica is x.

As she has only $20. Thus, the inequality expression which can be used for this condition is,

[tex]1.20x+2.5\leq20[/tex]

Solve the above equation and find the value of x,

[tex]1.20x\leq20-2.5\\1.20x\leq17.5[/tex]

Divide both side with 1.20,

[tex]x\leq\dfrac{17.5}{1.20}\\x\leq14.58\overline3[/tex]

Hence, the number of cups she can Monica is 14.

Thus, the inequality which is used to find the number of cups of yogurt Monica can buy is,

[tex]1.20x+2.5\leq20[/tex]

Learn more about the inequality equation here:

https://brainly.com/question/17724536

Answer:

b

Step-by-step explanation:

Finally, it's the weekend! While out with friends, you return a pair of shoes and get $52.95 then you and your 2 friends go out for tacos, and you pay $35.86 for everyone's meals. How much money do you have in your account now?

Answers

17.9 thats first grade math lol

Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.

Y= 30(1.003)^x

Answers

For the given exponential function, the change represents a growth  and the percentage rate is 0.3%.

Exponential Function

The formula for the exponential function is:

[tex]y(t)=y(0)*(1+R)^t[/tex], where:

y(t)= final value

yo=initial value

R=rate

t= time

When 1+R  > 1, the equation represents growth, while 1+R < 1 the equation represents decay.

The question gives:  [tex]y=30*(1.003)^x[/tex].

When you compare [tex]y=30*(1.003)^x[/tex]with [tex]y(t)=y(0)*(1+R)^t[/tex], it is possible to see:

1. 1+R=1.003, so >1 . Therefore, the change represents growth.

2. 1+R=1.003 , therefore,

                           1.003=1+R

                          R=1.003-1

                          R=0.003

                          then,

                       

                         %R=0.003*100=0.3%

                         

Read more about the exponential function here:

https://brainly.com/question/8935549

John runs 18 miles in 4 hours. How many miles can John run per hour?​

Answers

Answer:

4.5 miles per hour

Step-by-step explanation:

you start with 18 = 4x

divide both sides by 4

and you get x = 4.5

A bacteria starts with 500 cultures and grows exponentially. The number of bacteria at time t, where t is time in hours, is given by the function g (t)=500•2^2t.
The bacteria multiplies by ____________ every hour.

Answers

Answer:

a factor of 4

Step-by-step explanation:

The equation is

[tex]500 (2) {2}^{t} [/tex]

Which can be simplified to

[tex]500 (4) {}^{t} [/tex]

Since 4 is the base, the constant factor is 4.

Divide.

5/6÷ (−2/3)


−5/4

​−5/9​

5/9

​5/4

Answers

5/6÷(-2/3) is -1 1/4. Decimal form would be -1.25

well the answer is actually -1.25

The Pyramid of Khafre measured 143.5
meters high. The Pyramid of Menkaure
measured 65.5 meters high. Write and
solve an equation to find d, the difference
in the lengths of the two pyramids.

Answers

Answer:

what are the answers that are given

Step-by-step explanation:

Answer:

I Think you have to subtracted those two number

Step-by-step explanation:.

Admission to a football game was $1 for students and $2 for adults. There were 80 more student tickets sold than adult tickets. If the total money collected was $980, how many of each type of ticket were sold?

Answers

Answer:

225 adult tickets 530 student tickets

Gianna works in a department store selling clothing. She makes a guaranteed salary of $500 per week, but is paid a commision on top of her base salary equal to 15% of her total sales for the week. How much would Gianna make in a week in which she made $975 in sales? How much would Gianna make in a week if she made xx dollars in sales?
Earnings when selling $975:
Earnings when selling $x:

Answers

Answer:

$646.25 is her earnings when selling $975.

Her earnings when selling $x is 500 + 0.15x.

Step-by-step explanation:

You know that her guaranteed salary is $500, and she also gets a commission that is 15% of her sales. So, the expression is

500 + 0.15x

Where x is total sales. When you are given $975 as her total sales, plug it in for x:

500 + 0.15(975)

500 + 146.25

$646.25 is her earnings when selling $975.

Her earnings when selling $x is 500 + 0.15x.

Pls answer the question attached.
I WILL MARK U BRAINLIST

Answers

Answer:

[tex](x + 5)(a + 3b) \\ \\ = a(x + 5) + 3b(x + 5) \\ \\ = ax + 5a + 3bx + 15b[/tex]

# Jerry Don is here#

Eric made $289 for 17 hours of work.
At the same rate, how many hours would he have to work to make $ 119?

Answers

Answer:

7 hours

Step-by-step explanation:

You would divide 289 by 17. You get 17. Then you would divide 119 by 17 and you get 7

Answer:

7 Hours of work to earn $119

Step-by-step explanation:

You would divide $289 by 17 hours to find your hourly wage. You would find the hourly wage to be $17 an hour. Then you would take $119 and divide it by $17, and you'll find the number 7, this is your hours of work you have to work to earn $119.

savannah loves to talk on her cell phone. she has $100 in her budget to pay this months cell phone bill. $20 per month plus $0.10 per minute of usage. what is the maximum number of minutes she can talk this month?

Answers

$100 - $20 = $80 left to pay for her phone
10¢ per minute $1 per 10 minutes
10*100 is 1,000 which would be $100 but you used 20 and only had 80 left
So
I think it’s 800 minutes

Sorry I do math weird lol I hope this makes since

I need help on this question

Answers

Answer:

fg and Ab ex a=b +G=fa none of the above
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The stray cat stalked down the street. Her walk was proud--she barely flinched when a car on the corner backfired. She reached the end of the street and made one majestic leap to the top of an open trash can, where, with great dignity, she settled over a meal of broken bones, a back alley Cleopatra. Which detail from the text contains an allusion? Plz help me Read the poem "The Winds Visit" by Emily Dickinson.The wind tapped like a tired man,And like a host, "Come in,"I boldly answered; entered thenMy residence within A rapid, footless guest,To offer whom a chairWere as impossible as handA sofa to the air. No bone had he to bind him,His speech was like the pushOf numerous humming-birds at onceFrom a superior bush.His countenance a billow,His fingers, if he pass,Let go a music, as of tunesBlown tremulous in glass. He visited, still flitting;Then, like a timid man,Again he tapped't was flurriedlyAnd I became alone.Dickinson uses a simile in the first stanza of this poem todescribe the doorway of the house.give the wind humanlike characteristics.emphasize the destructive power of the wind.describe the speaker of the poem. what the algebraic rule for a dilation with a scale factor of 3 Which important figure from the French Revolution was responsible for the assassination of Jacobin leader,Jean-Paul Marat?A. Charlotte CordayB. Marie AntoinetteC. George DantonD. Marquis de Lafayette Which respiratory process is impaired the most by emphysema. What to email teacher saying absent for long time because of flu how does the story end? The 6 games Kelly's team played took a total of 7 hours. How many minutes total did they play softball? Write an informative essay that explains how life in the late 1800s was different from the way it is today. Work out the size of angle x.6545 2. Using the given pictures below, fill in the table on the next page Can you use Chicano english if you aren't Chicano? or is it offensive?Don't answer this if you AREN'T Mexican/Chicano. If the demand increases, the curve moves to the ? if the demand decreases the curve moves to the? WEDDING There were a total of 180guests at a wedding. Of those guests,37 ordered fish and 60 orderedchicken. If the remainder of theguests ordered steak, how manyordered steak? what factors your family makes it difficult for a person to achieve certain goals What do you understand by skilled human resources?(only in english) I BET NO ONE KNOWS THIS QUESTION. Jade skips going to dinner with friends to babysit her younger brother. Jade's opportunity cost is the:A. time spent with her brother.B. time she could have spent with her friends.C. money she earns babysitting.D. money she saves by eating at home. give answer in decimal to the nearest tenth of a cm they said we were going to the zoo on our bicycles make It in definite story about nolimetanghiri