Find the 55th term of the arithmetic sequence 2, -18,-38

Answers

Answer 1

Answer:

-1078

Step-by-step explanation:

n=0 is the first term in the sequence.

Every next term is 20 less then the previous term.

In Mathematics you can write this as follows:

f(n) = f(0) - (n-1)*20

f(n) = f(0) - {(n-1)*20}

f(n) = f(0) - {(20n) -20}

Attention: Please note that -1 * -20 = +20

f(n) = f(0) - 20n + 20

Check yourself, find f(2):

f(0) = 2

f(2) = 2 - 20*2 + 20

f(2) = 2 - 40 + 20

f(2) = 2 - 20

f(2) = -18

Check yourself once more, find f(3):

f(0) = 2

f(3) = 2 - 20*3 + 20

f(3) = 2 - 60 + 20

f(3) = 2 - 40

f(3) = -38

Now just find f(55):

f(55) = 2

f(55) = 2 - 20*55 + 20

f(55) = 2 - 1100 + 20

f(55) = 2 - 1080

f(55) = -1078


Related Questions

What is the quotient of 1 +i ? 3 +4i​

Answers

Step-by-step explanation:

pls check the answer here is ur answer

Answer:

7/25-1/25i

Step-by-step explanation:

If m 6=51, then m 7=

Answers

Answer:

m 7=129

Step-by-step explanation:

if 6 and 7 are right next to each other. it makes 180 degrees so you would take 180-51 to get your answer

how do you graph y is less than or greater to x?

Answers

Answer:

I was taught to rearrange the equation so "y" is on the left and everything else on the right, plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>), then shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).

Step-by-step explanation:

Hope this helps :)

I need help plzzzz percent equations blank% of $30 =3

Answers

Answer:

10%

Step-by-step explanation:

Hello I can help you with this question. Lets start.

The question is asking what percent of $30 is 3

so i think u actually meant $3 right but anyways

30 is 10 times 3

then clearly it would be 10%

gogo that's the answer!

Divide 129/4.3 by 4.3

Answers

Answer:

6.97674418605

Step-by-step explanation:

thats what i got .-.

Answer:

6.97674418605

Step-by-step explanation:

NEED HELP FASTTTTT!!! WILL GIVE BRAINLIEST!!!

Answers

Answer: -36

Step-by-step explanation:

What’s the solution to this problem-5/2=3/4+n

Answers

Answer:

..................................................

Step-by-step explanation:

35,423 ÷ 15 with a remainder

Answers

Answer:

Brainliest

Step-by-step explanation:

35,423 ÷ 15= 2361 R 8

PLS HELP ME PLS whats 2x6x8 (5/8)

Answers

Answer:

96 5/8?????

if its wrong i sorryyy

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

If you mean multiplying them all, then:

2x6x8=96

5/8=0.625

0.625x96=60

yay its 60

The double number lines show the ratio of minutes to days. How many minutes are in 222 days?

Answers

Answer:

319680 minutes

Step-by-step explanation:

60 minutes in an hour

24 hours in 1 day

60 x 24 = 1440 minutes

1440 x 222 = 319680 minutes

Answer: the answer is 319680

Step-by-step explanation:

because there are 24 hours in a day, which is 1440 minutes just multiply 1440 minutes by 222 days.

If the area of the base of a cone is 58 pi square inches, and the height is 3 inches, then which expression represents the volume of a cylinder?

Answers

43

I need help guys go to my account and answer my question pls I need help pls,pls,pls pls pls,

What would these be :)

Answers

y= -5
f= 7
d= 1.9
it’s the answer

plz help this paper is worth 50 points

Answers

Answer:

c

Step-by-step explanation:

Answer:

Choice A

Step-by-step explanation:

Find the area. Simplify your answer.

Answers

ill need a photo?!! try pasting a photo so i can see it

4. Express each of the following in m/s.
(a) 65 cm/s
(b) 367 km/h
(c) 1000 cm/min (d) 86 km/min​

Answers

[tex]{ \large{ \purple{ \sf{Hello \: there!}}}}[/tex]

As we know that, 1 cm = 0.01 m

So,

(a) 65 cm/s = 0.65 m/s

b) 367 km/h = (367 × 5 ÷ 18) m/s

c) 1000 cm/min = (1000 × 60 ÷ 100) m/s

d) 86 km/min = (86 × 60 ÷ 1000) m/s

[tex] \star \:{ \underline{ \boxed{ \sf{ \blue{Thank \: you : ) }}}}}[/tex]

Help will give brainlist!
If correct. Thanks!

Answers

Answer:

B y=0.5x-1

Step-by-step explanation:

Answer:

Y=-1/2x-1

Step-by-step explanation:

The slope is found using rise/run

Y-int can be found on the graph

From two cities that are 500 mi apart, two cars left simulaneously moving towards each other. The speed of one car was 10 mph greater than the speed of the other car. In 5 hours the cars met. Find the speed of each car.

Answers

Given:

Distance between to cities = 500 mi

Two cars left simultaneously moving towards each other.

The speed of one car was 10 mph greater than the speed of the other car.

They meet in 5 hours.

To find:

The speed of each car.

Solution:

Let x mi/h be the speed of one car.

So, speed of second car = (x + 10) mi/h

Two cars left simultaneously moving towards each other.

So, their relative speed = x + (x+10) = (2x+10) mi/h

We know that,

[tex]Speed =\dfrac{Distance}{Time}[/tex]

On substituting the values, we get

[tex]2x+10=\dfrac{500}{5}[/tex]

[tex]2x+10=100[/tex]

[tex]2x=100-10[/tex]

[tex]2x=90[/tex]

Divide both sides by 2.

[tex]x=\dfrac{90}{2}[/tex]

[tex]x=45[/tex]

Now,

Speed of one car = 45 mi/h

Speed of other car = 45+10

                                = 55 mi/h

Therefore, the speeds of two cars are 45 mi/h and 55 mi/hr.

Solve each of these equations. Explain or show your reasoning.

2b+8−5b+3=-13+8b−5
2x+7−5x+8=3(5+6x)−12x
2c−3=2(6−c)+7c

Answers

Answer: Answers are in the pictures

Please help!

Select the correct answer from each drop-down menu.
On a horizontal number line, -6 is located to the [blank] of -4. So, -6 is [blank] than -4.

First blank- left, right,
Second blank- greater, less,

CORRECT ANSWER GET'S BRAINLIEST!

Answers

Answer:

To the "LEFT", so -6 is "LESS"

Step-by-step explanation:

-6 < -4

NEED HELP ASAP I WILL MARK YOU BRAINLIST

Answers

Answer:

The correct answer is: Option H: 14.4 units

Step-by-step explanation:

CD is a line segment and let M be the mid-point of the line segment.

As we know that a mid-point divides the line in two equal parts, this means that the length of line segment will be the double of distance between one end and mid-point

Given

C( 2,-1) => (x1,y1)

M(8,3) => (x2,y2)

The distance formula is given by:

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Putting the values

[tex]|CM|= \sqrt{(8-2)^2+(3-(-1))^2}\\|CM| = \sqrt{(8-2)^2+(3+1)^2}\\= \sqrt{(6)^2+(4)^2}\\=\sqrt{36+16}\\=\sqrt{52}\\= 7.211[/tex]

We know that

[tex]CD = 2CM\\CD = 2 * 7.211\\CD = 14.422\\CD = 14.4[/tex]

Hence,

The correct answer is: Option H: 14.4 units

Find:11/3 ÷ 2/3

the quotient is 5 and _____​

Answers

Answer:

5.5 quotient 5 and rest 1

But I would answer quotient is 5 and half

Step-by-step explanation:

11/3 ÷ 2/3 = 11/3 * 3/2 = 11/2= 5.5

So the quotient is 5 and rest is 1

Hope this helps, have a good day

Answer:

5 1/2

Step-by-step explanation:

11/3÷2/3

Applying the fractions formula for division,

=11/3×3/2

=33/6

Simplifying 33/6, the answer is

=5 1/2

Question
What is the solution to this system of equations?
ly
101
y=x-2
y=-0.5x + 4
8
6
2.
6
10
O A. (2,4)
O B. (1,2)
O C. (2,1)
O D. (4,2)
PLS HELP

Answers

Answer:

im not completely sure but i think its A

Answer:

D . (4,2)

Step-by-step explanation:

i got it right !

The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -6<= x <= 6?

Answers

Answer:

- 1

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 6, 6 ]

From the graph

f(b) = f(6) = - 2

f(a) = f(- 6) = 10 , thus

average rate of change = [tex]\frac{-2-10}{6-(-6)}[/tex] = [tex]\frac{-12}{12}[/tex] = - 1

step by step explanation:

I don't know

sorry really wanna help

Stephen gathered data about the average rainfall in two cities. He organized his data in the given graph.
Average Rainfall
5
City A
ul.
City B
0
Jan Feb Mar Apr May Jun Jul Aug Sept Oct Nov Dec
Month
Click on all the true statements about the data.
A. The range of the data for City B is higher than City A.
B. The range of the data for City A is higher than City B.
O C. The median of the data for City B is higher than City A.
UD. The range of the data is the same for both City A and City B.
E. The median of the data is the same for both City A and City B.

Answers

Answer: B.The range Is Higher for city A than City B

E. The median is the same for city A and City B

According to the calculations, the correct statements are B and C.

Given that Stephen gathered data about the average rainfall in two cities, and he organized his data in the graph, to determine which statements are correct, the graph must be analyzed and the following mathematical reasoning must be carried out:

The average rainfalls of City A range from 0.5 to 4.5 per month, with a variable range of 4 points. In turn, the average rainfalls of City B range from 1 to 4 per month, with a variability range of 3 points. Therefore, the range of the data for City A is higher than City B, so option B is correct, and options A and D are incorrect.

Regarding the median rainfalls, City A has a cumulative total of 27 points over 12 months, that is, an average of 2.25 per month. In turn, City B has a cumulative total of 28.5 points over 12 months, that is, an average of 2,375 per month. Therefore, the mean of City B is higher, so option C is correct.

Learn more in https://brainly.com/question/20982963

I need help with this problem

Answers

i need help in life

As more years go by, the prediction (extrapolation) becomes reliable.

Answers

Answer:

Less

Step-by-step explanation:

edge 2020

Answer:A.)less

Step-by-step explanation:

edge 2023

Carlos and Jonathan shared $40 in the ratio 5:3. How much money did Jonathan get? (Draw a tape diagram).
PLEASE HELP MEEEEEEEEEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

carlos got 25 and Jonathan got 15.

Step-by-step explanation:

5+3=8 40/8=5

5×5=25. 5×3=15

Mary types 3 pages in 12 minutes. If she continues this same speed, How many pages should she type in 60 minutes? Show your work/ Use a double number line, HELP PLEASE!!!!!!!!!

Answers

3 pages .............................. 12 min

x pages ............................... 60 min

x = 3*60/12 = 15 pages

Im in desperate need of help

I need help with Just ONE question in math specifically 8th grade pls help.

Answers

I don’t see a problem but repost it and I can see if I know it

Write an equation in Point Slope Form that has a slope of -5 and passes through the point (4,9)

Answers

Answer:

I hope that will be help full to u

Step-by-step explanation:As we know point slope form , (Y- Y1) = m (X- X1) As given data ,  m = -5(X1,Y1) =  (4, 9) X1= 4 , Y1= 9putt in the above equation these values, we get Y-9 = (-5) ( X-4) Y-9= -5X +20Y= -5X+29  Ans

Other Questions
A 4 x 5 x 8 rectangular prism is cut parallel to one of its faces into two prisms. Which could be the dimensions of the resulting prisms? A. 4 x 5 x 1; 1 x 5 x 8 B. 4 x 4 x 4; 5 x 4 x 4 C. 4 x 5 x 4; 4 x 5 x 2 D. 5 x 2 x 4; 6 x 4 x 5 In two or three sentences, describe Texas literature prior to (before) the 20th century. Use information from the text to support your description. 5(x 3) > 7x + 2what is the value of x? The total time of cooling foods cannot exceedhours.A.2B.4.12D.6 HELP PLZ!!!!! A fireman's ladder is placed against a wall. The bottom of the ladder is 15 ft away from the wall and the top of the ladder touches the wall at a point 80 ft above the ground. Assuming that the slope is positive, what is the slope of the ladder? Round your answer to the nearest hundredth. how do enslaved people resist the efforts of their endlavers in both revolutionary and everyday was? Perry and Alberto are selling fruit for a school fundraiser. Customers can buy small boxes oftangerines and large boxes of tangerines. Perry sold 7 small boxes of tangerines and 12 largeboxes of tangerines for a total of $283. Alberto sold 8 small boxes of tangerines and 6 largeboxes of tangerines for a total of $200. Find the cost each of one small box of tangerines and onelarge box of tangerines. Which bones are most important for protecting vital organs The answer is skull and ribs teaching children how to manage a legitimate job and to balance that responsibility with their work at home will best prepare them for the real world. what does legitimate mean in the sentence what is C in the triangle C= PPLLLLLLLLEEEEEEEAAASSSEEE HELP ME If 1 kilometer is equal to 0.621 miles, how many kilometers are in 8 miles? (Round your answer to the nearest hundredth.)Select one:4.97 km1,288 km12.88 km4,970 km Which equation is written in slope-intercept form?O y = 3x-2O X= y+ 8- 2x + 5y = 12O 3y = 8x-5 According to a survey in one U.S. city, 53% of women between the ages and 25 of 35 are married, 45% are working full time, and 21% are married and working full time. If a woman between the ages of 25 and 35 is picked at random from the city, what is the probability that she is working full time or married but not both what is 0.34 round to the nearest tenth 7.Which single factor generally has the greatest effecton the climate of an area on the Earth's surface?A) the distance from the EquatorB) the extent of vegetative coverCthe degrees of longitudeD) the month of the year A major fishing company does its fishing in a local lake. The first year of the company's operations it managed to catch 95,000 fish. Due to population decreases, the number of fish the company was able to catch decreased by 4% each year. How many total fish did the company catch over the first 14 years, to the nearest whole number? Select two quotes from Passage 2 that develop the idea that the current generation has a duty to protect freedom for all citizens of the country.a. "...to make these words, these rights, these values of life and liberty and the pursuit of happiness real for every American." b. "We must act, knowing that our work will be imperfect." c. "My oath is not so different from the pledge we all make to the flag that waves above and fills our hearts with pride." d. "They are the words of citizens and they represent our greatest hope." e. "...not only with the votes we cast but with the voices we lift in defense of our most ancient values and enduring ideals." Lisa y yo querer afeitarse antes de ir a la fiesta Please Help Me i will Give Brainliest