The first term of an arithmetic sequence is six. The fifth term of the sequence is -14. th Write a rule that can be used to find the nth term.​

Answers

Answer 1

Answer:

[tex]a_{n} = 11 - 5n[/tex]

Step-by-step explanation:

use the formula

[tex]a_{n} = a_{1} + (n - 1)d[/tex]

-14 = 6 + (5 - 1)d

-14 = 6 + 4d

-20 = 4d

d = -5

[tex]a_{n} = 6 + (n - 1)(-5) = 6 - 5n + 5 = 11 - 5n[/tex]


Related Questions

Use the following function rule to find f(3).
f(x) = 8^x
f(3)
=

Answers

Answer:

f(3) = 512

Step-by-step explanation:

f(3) = 8^3

f(3) = 512

= 512

I believe the correct answer is 512

The scatterplot below was created from a table of values and represents the relationship between the number of seconds spent doing sit-ups and the number of sit-ups completed for some of the members of a physical education class.

Assuming that none of the data points overlap and that all the data points were plotted, how many data points were in the table?
A.5
B.6
C.7
D.8

Answers

Answer:

The correct answer is D. 8

Step-by-step explanation:All you have to do is count the data points on the graph.

Have a good day and stay safe!

There were 8 data points in the table.

Option D is the correct answer.

We have,

From the graph of the scatterplots,

We can consider the points as the coordinates:

(10, 15)

(20, 20)

(20, 30)

(20, 40)

(25, 30)

(30, 35)

(35, 45)

(45, 49)

Now,

There are 8 coordinates from the graph.

This means,

There are 8 data points plotted on the graph of the scatterplot.

Thus,

There were 8 data points in the table.

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ2

A golfer hit a golf ball from a tee box that is 6 yards above the ground. The graph shows the height in yards of the golf ball above the ground as a quadratic function of x, the horizontal distance in yards of the golf ball from the tee box. What is the domain of the function for this situation?

Answers

Answer: C. 0 ≤ x ≤ 230

When the  A golfer hit a golf ball from a tee box that is 6 yards above the ground so the domain of the function is [0,260].

Calculation of the domain of the equation:

Here the domain is the values of 'x' in the function f(x).

the position at which the golfer is hit the ball is (0,6) and the position where the ball hits the ground is (230,0)

So, the domain of the function for this situation is [0,260].

Learn more about domain here: https://brainly.com/question/18573273

Determine the intercepts of the line.

Y-intercept (____,____)
X-intercept(____,____)

Answers

Answer:

y intercept (0, 100)

x intercept (-250, 0)

Step-by-step explanation:

clear from the picture

How do you find the experimental probability?

Answers

Conduct an experiment and record the number of times the event occurs and the # of times the activity is performed then divide the two numbers to obtain the Experimental Probability.

Help please! I really need it! please dont guess if you dont know, dont answer.....( this is basic geometry im just dum'b)

Answers

Answer:

D

Step-by-step explanation:

angles 2 and 6 are corresponding angles and are congruent if the transversal crosses through two parallel lines

LAST QUESTION!!! ANSWER THIS QUESTION PLZZZZ

Answers

Answer:

A. 80 yards

Step-by-step explanation:

Corresponding sides have same ratio in similar figures:

75/50 = 120/x x = 120*50/75x = 80

Correct option is A

What is f(5) if f (x) = -2x+1​

Answers

Answer:  -9

====================================================

Explanation:

We replace every copy of x with 5. Then we apply the order of operations PEMDAS to simplify.

f(x) = -2x+1

f(5) = -2(5)+1 ..... x replaced with 5

f(5) = -10+1

f(5) = -9

What percent of 480 is 160?
A. 0.3%
B. 3%
C. 30%
D. 33.3%
E. 300%

Answers

Answer: E

Explanation: If you are using a calculator, simply enter 480÷160×100 which will give you 300 as the answer.

Identify the slope intercept equation of a line that has a
slope of - } & y-intercept of (0,3).
y = - X-
O y = -3x +
2
3
Oy= x-3
Oy = –ķx+3

Answers

Answer:5

Just use a caculator

92124w1322

6. A quadrilateral ABCD is drawn to circumscribe a circle. Prove that AB + CD = AD + BC.​

Answers

Answer:

i not sure sorry ..........

The moon has a radius of 1,079 miles. What is the circumference of the moon? Express your answer in terms of
[tex]\pi[/tex]
. Enter the correct answer in the box.​

Answers

Answer:

gvhgfcbvhgfc

Step-by-step explanation:

yee

Number 1 please answer need help

Answers

Answer:

It is not a function

Step-by-step explanation:

This is not a function because it does NOT pass the vertical line test. The vertical line test is just as it sounds: if you were to draw a vertical line from 3 to -3, it would pass through two outputs for every one input. Therefore, it's not a function.

PLEASE PLEASE HELP. I’ve wasted so many points on this problem :(

Answers

Answer:

13 cm

Step-by-step explanation:

A^2+12^2=15^2

A^2+144=225

A^2=81

A=9

9x2=18

31-18=13 cm

Find the perimeter of a rectangle whose width is 3 cm and whose diagonal is 3 √5 cm long.

A^2+3^2=3√5^2

A^2+9=45

A^2=36

A=6

3+3+6+6=18 cm

write 5 3/4 as an improper fraction .

Answers

Answer:

15/4

Step-by-step explanation:

Answer:

[tex]\frac{23}{4}[/tex]  

Step-by-step explanation:

5 [tex]\frac{3}{4}[/tex] = [tex]\frac{5 x 4 + 3 }{4}[/tex]  = [tex]\frac{23}{4}[/tex]

Hope is right!!!

Find the value of X

please help me its due in an hour

Answers

Answer:

Step-by-step explanation:

which point is located at point (-5,2)?

Answers

the answer is D ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎

Answer:

point D

Step-by-step explanation:

go to the left 5 spaces (negatives)

go up 2 spaces

There are 1001 pennies lined up on a table. I come along and replace every 2nd coin with a Nickle. Then, replace every 3rd coin with a Dime. Finally, I replace every 4th coin with a Quarter. How much money is on the table?

Answers

Answer:

$99.19

Step-by-step explanation:

Problem:

On a table there are 1001 pennies lined up in a row. I come along and replace every second coin with a nickel.  Then I replace every third coin with a dime.  Finally, I replace every fourth coin with a quarter.  How much money is on the table now? Why is twelve important?

Solution:

Our first step was to make a line of pennies (as long as possible) in order to see if we could figure out a pattern that would help us determine the total amount of money on the table.  

Then we went through and replace every second coin with a nickel.

Then we went through and replaced every third coin with a dime.

Then we went through and replaced every fourth coin with a quarter.

As a group we then tried to decipher if there was a pattern that would help us determine the total value of coins.  We then noticed that there was a pattern of twelve coins.

= $1.19

= $1.19

= $1.19

We determined the number of times the pattern of twelve coins repeated in the 1001 coins:

1001 ÷ 12 = 83 R5

Since we knew that the pattern repeated itself 83 full times and each time the dollar value is $1.19 we counted to determine the cost of the first 996 coins.

$1.19 X 83 = $98.77

Then we added the remaining 5 coins, which cost $0.42

$98.77 + $0.42 = $99.19

Therefore, there is a total of $99.19 on the table.

Since, the lowest common multiple of 2, 3, and 4 is 12, the pattern will repeat itself every 12th coin.

A sequence or pattern in a series of numbers is a number patterns

The amount of money in coins lined up on the table is $99.19

The reason the above value is correct is as follows:

The given parameters are;

The number of pennies lined up on a table = 1,001

The coin with which every second coin is replaced with = A Nickle = 5 Cents

The coin with which every third coin is replaced with = A Dime = 10 Cents

The coin with which every second coin is replaced with = A Quarter = 25 Cents

[tex]\begin{array}{ccc}Coin \ Position&&Coin \ Value \ (Cents)\\1&&1\\2&&5\\3&&10\\4&&25\\5&&1\\6&&10\\7&&1\\8&&25\\9&&10\\10&&5\\11&&1\\12&&25\\13&&1\\14&&5\\15&&10\\16&&25\\17&&1\\18&&10\\19&&1\\20&&25\\21&&10\\22&&5\\23&&1\\24&&25\end{array}[/tex]

From the above values, we have that the first twelve coins are repetitive, therefore, the number of repeating units is the whole number part of 1,001/12 = 83, which gives;

1 + 5 + 10 + 25 + 1 + 10 + 1 + 25+ 10 + 5 + 1 + 25 = 119

The value sum of the 83 repeating 12 units = 119 × 83 = 9877

The value of the first 12 × 83 = 996 coins = 9,877 Cents

The coin in the;

997th position = 1 Cent

998th position = 5 Cent

999th position = 10 Cent

1,000th position = 25 Cent

1,001th position = 1 Cent

The total value of the coins = (9,877 + 1 + 5 + 10 + 25 + 1) Cents = 9919 Cents

9919 Cents = $99.19

The amount of money that is on the table = $99.19

Learn more about number patterns here:

https://brainly.com/question/14294944

HEY CAN ANYONE HELP ME PLZ

Alina can blow 48 balloons in 16 minutes. What is the unit rate of blowing per minute?

Simplify the ratio of 35 : 14 .

Lisa can fold 48 paper stars in 2 hours. How many stars can she fold in 3 hours?

Find the unit rate of snow if it is 30 cm of snow in 6 hours.

Simplified form of 2.8kg : 512g

If 9 packs of pencils cost Rs. 1080. How much cost would be for 13 packs of pencils given that each pack is costing at the same rate?

An amount of Rs. 2520 is shared between Sara and Hina in the ratio of 2 : 7. What is the amount for each of them.

Saba can fold 98 papers in 14 minutes, Ali can fold 128 papers in 16 minutes and Kiran can fold 144 papers in 24 minutes. How is faster in folding the papers?

Which is NOT equivalent to 3:5?

What is the value of 'a' if 8 : 9a = 4 : 27.

PLZ GIVE A CORRECT ANSWER

Answers

Step-by-step explanation:

1. 48 decide by 16 = 3 per min

2. Decide by 7 you will get 5:2

3. 24 per hour so 3 hours is 3 times 24 which is 72

4. 5cm per hour

5. 175:326.

6.1080 decide by 9 you get 120

120 times 13 is 15607.

7. 2520 decide by 9 is 280

Sara got 560 while Hina got 19608.

8. Ali is the fastest. He can fold 8 in a minute

9. I dont understand your question

10. A is 3

Are these scalene triangles simila

Answers

Answer:

la primera

Step-by-step explanation:

is BC a line segment, a ray, or a line

Answers

Answer:

Line Segment

Step-by-step explanation:

A line segment has dots on both ends of the line. A line has nothing at either end of it. A ray has an arrow at one end of the line. Line BC is a line segment.

Hope it helps!

Answer: BC is a line segment

Explanation:

This is because we have two fixed endpoints, B and C, where the line does not go on forever beyond those endpoints. This means BC is some fixed length. The terms "line segment" and "segment" are the same thing.

A ray on the other hand would have the line go on forever in one direction, while it only has one fixed endpoint. As the name suggests, think of the ray of sunlight as an example. So we can rule out "ray". We can also rule out "line" because it doesn't extend forever in both directions.

math work pls help :)​

Answers

Answer:

History of mathematics

Several civilizations — in China, India, Egypt, Central America and Mesopotamia — contributed to mathematics as we know it today. The Sumerians were the first people to develop a counting system. Mathematicians developed arithmetic, which includes basic operations, multiplication, fractions and square roots. The Sumerians’ system passed through the Akkadian Empire to the Babylonians around 300 B.C. Six hundred years later, in America, the Mayans developed elaborate calendar systems and were skilled astronomers. About this time, the concept of zero was developed.

Step-by-step explanation:which includes basic operations, multiplication, fractions and square roots. The Sumerians’ system passed through the Akkadian Empire to the Babylonians around 300 B.C. Six hundred years later, in America, the Mayans developed elaborate calendar systems and were skilled astronomers. About this time, the concept of zero was developed.

use the circle below to find the angle measures and arc measure

Answers

Answer:

We'd need to see the full circle to answer

Step-by-step explanation:

i need help plssssssssss​

Answers

Answer:

answer is provided below

Step-by-step explanation:

5 ----> constant

+ ------> operator

2 ------> coefficient

2x ------> variable term

x --------> variable

Hope the above solution helps

Noah is selling boxes of greeting cards. Each box costs $4.25. Noah’s goal is to earn more than $50 selling cards.

Answers

Answer:

He needs to sell at least 12 boxes.


Find an equation of the line perpendicular to the graph of 10x - 5y = 8 that passes through the point at (-4, 7)

Answers

It’s -4 6 because when u pass the x intercepts u must go through the midpoint

PLEASE HELP PLEASEEE!!!

Use the appropriate identity to rewrite the expression x^9 - 27

A) (x)^9-(3)^3
o
B) (x^3)^3-(3)^3
o
C) (x)^3-(3)^3
o
D) (x^3)^2-27

Answers

Answer:

A

Step-by-step explanation:

Cuando se tienen dos exponencial una dentro y otra fuera del paréntesis se suman debido a esto la A es la única que cumple con la ecuación

The measures of the sides of a triangle are 6x - 3, 8x + 3, and 6x + 4. What is the measure of each
side if the perimeter is 84 mm?

A. 21 mm, 35 mm, and 28 mm

B. 0 27 mm, 33 mm, and 24 mm

C. 25 mm, 32 mm, and 27 mm

D. 24 mm, 31 mm, and 29 mm

Answers

The answer would be C

Answer:

a. 12 mm

The Pythagorean Theorem states that a^2 + b^2 = c^2 with a and b being lengths of legs and c being the length of a hypotenuse. So we can use our givens to solve for the remaining leg.  

9^2 + b^2 = 15^2

81 + b^2 = 225

b^2 = 144

b = 12

Step-by-step explanation:

BOOOOOOOOM!!!!!!!!!!!!!!!!!!!!!!

Analyzing Statements about a Right Cone
Which statements are true? Check all that apply.
The radius of the cone is 9 units.
The height of the cone is 15 units.
The height of the cone is 12 units.
The volume of the cone is represented by the expression 17(15)2(9).
The volume of the cone is represented by the expression 17(9)2(12). ​

Answers

the height of the cone is 12 units , the volume of the come is represented by the expresiion 17(15)2(9)

Consider the equation: 3+x=x^2+3x
NEED HELP ASAP!!!!!

Answers

Answer:

x = 1 and x = -3

Step-by-step explanation:

We need to solve the given equation.

[tex]3+x=x^2+3x[/tex]

Taking all terms together,

[tex]x^2+3x-3-x=0\\\\x^2+2x-3=0\\\\x^2+3x-x-3=0\\\\x(x+3)-1(x+3)=0\\\\(x-1)(x+3)=0\\\\x=1\ and\ x=-3[/tex]

So, the solution of the above equation is x = 1 and x = -3.

Answer:

[tex]4=(x+1)^{2}[/tex]

x= -1 ±2

Khan Academy

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