Is the sequence {4, 7, 10, 13, 16, ...} a function? Explain.

a
Yes, because each input is a natural number with multiple output numbers in the sequence

b
Yes, because each input is a natural number with a single output number in the sequence

c
No, because there are no input values paired with a single output number in the sequence

d
No, because there are multiple input values paired with a single output number in the sequence

Answers

Answer 1

Step-by-step explanation:

tricky, as the sequence does not define the input values.

by we can assume that the corresponding input values are 1, 2, 3, 4, 5, ... as it is usual for a sequence.

in that sense, b is the correct answer.

Answer 2

The sequence is a function because each input is a natural number with a single output number in the sequence.

What is arithmetic progression?

The difference between any two consecutive integers in an arithmetic progression (AP) sequence of numbers is always the same amount. It also goes by the name Arithmetic Sequence.

Given the sequence {4, 7, 10, 13, 16, ...},

Given that each term has a common difference, this is an arithmetic sequence. In this instance, the next item in the sequence is obtained by multiplying the previous term by 3.

a₂ - a₁ = 7 - 4 = 3

a₃ - a₂ = 10 - 7 = 3

the difference in output is the same for all the numbers in sequence.

Hence the sequence is the function of the Arithmetic Sequence.

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Related Questions

Determine the range values for x

Answers

5x+2=47
5x=45
x=9
the final answer is 9

Billy is ordering 7 identical sandwiches and a drink. The drink costs $2.5 and the entire order costs $140.5. Write an equation you can use to find the price of a sandwich.

Answers

Answer:  $17.92/sandwich

Step-by-step explanation:

Let S be the price of a sandwich ($/sandwich).

7S is the total cost of the sandwiches.  Add a drink for $2.50 to find the total cost, which we are told comes to $140.50

7S + $2.50 = $140.50

7S = $138

S = $19.7143

It is odd that this includes a fraction of a single penny (0.43 cents).  Something is incorrect in the data given, since this should equal a whole number.  For now, I'll round up to $19.72.  The additional 7*($0.0043) = 4 cents will be treated as a tip.

diferencia entre el bote el pase y tiro en el baloncesto

Answers

Answer:

difference between bounce, pass and shot in basketball

Given triangle DEF where ∠D = (7b +1)∘, ∠E = (2b + 1)∘, and ∠F = ( b + 8)∘. What is the measure of ∠E?

Answers

Answer:  35 (choice C)

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

Explanation:

For any triangle, the three interior angles always add to 180.

D+E+F = 180

(7b+1) + (2b+1) + (b+8) = 180

(7b+2b+b) + (1+1+8) = 180

10b+10 = 180

10b = 180-10

10b = 170

b = 170/10

b = 17

Use this value of b to find the three angle measures

D = 7b+1 = 7*17+1 = 119+1 = 120E = 2b+1 = 2*17+1 = 34+1 = 35 degreesF = b+8 = 17+8 = 25

As a check,

D+E+F = 120+35+25 = 120+60 = 180

which helps confirm the correct answers.

Complete the shape below so that AB is a line of symmetry

Answers

Here you go I hope it helps, image attached

Subtract
x + 3
O A.
-x + 13
; X = -3 or 1
1)(x + 3)
o
O
B.
-x + S
(x - 1)(x + 3)
:X #-3 or 1
O
7x + S
(x - 1)(x + 3)
;X #-3 or 1
o
D.
7x + 13
(x - 1)(x + 3)
;X *-3 or 1

Answers

Answer:

-3

Step-by-step explanation:

x

+

3

=

 

O

A

=

x

+

13

=

X

=

3

=

=

3

1

=

=

3

1

=

=

3

YOU guys can write a story or a situation that can be represented by the given equation.

4a + 5 = 12a - 11

Thank you :)​

Answers

Answer:

If you have a party and your pizza was split up into 16 pieces, 8 people should be able to have 2 pieces.

Step-by-step explanation:

Simplify.
(5³)²
its telling me to write at least 20 characters so uhm-- ignore the rest of this weeeeeeeeeeeeeeeeee

Answers

Answer:

5⁶=15625...............

The answer is 5^6.
When you have a power to another power, you multiply the exponents. So 3x2 is 6. The answer is 5^6

If y=8x and y=96 what does x equal

Answers

Answer:

X = 12

Step-by-step explanation:

8(12) = 96

Y= 96
Y= 8x
x = 96/8
x= 12

Please help I don’t understand this

Answers

Answer:

  d. √(1/(x+1))

Step-by-step explanation:

Just as operations can be performed on numbers and variables, so can operations be performed on functions. Here, you're asked to simplify the ratio of two functions.

  [tex]\displaystyle\left(\frac{g}{f}\right)(x)=\frac{g(x)}{f(x)}=\frac{\sqrt{x-1}}{\sqrt{x^2-1}}=\sqrt{\frac{x-1}{x^2-1}}[/tex]

At this point, you're supposed to know the factoring of the difference of squares:

  [tex]\displaystyle=\sqrt{\frac{x-1}{(x-1)(x+1)}}=\boxed{\sqrt{\frac{1}{x+1}}}[/tex]

If AB∥ED and m∠ABC = m∠DEF. Prove CB|| EF.

Answers

Explanation:

( ) . . . . stuff that is given

∠ABE ≅∠DEG . . . . corresponding angles at a transversal

∠ABC +∠CBE = ∠ABE . . . . angle addition postulate

∠CBE = ∠ABE -∠ABC . . . . subtraction property of equality

∠DEF +∠FEG = ∠DEG . . . . angle addition postulate

∠FEG = ∠DEG -∠DEF . . . . subtraction property of equality

∠FEG = ∠ABE -∠ABC . . . . substitution property of equality

∠CBE = ∠FEG . . . . substitution property of equality

CB║EF . . . . converse of corresponding angles theorem

please help i need now

thank youu

Answers

Answer:

B

Step-by-step explanation:

if you cannot recognize the right equation, just start evaluating some points... try 5, 6, 4

If the length of the rectangle measures (2x -4) cm and the width measures (3x) cm, what is the area of the rectangle in terms of x?




pls ANSWER THIS CORRECTLY WITH A COMPLETE SOLUTION

Answers

[tex]\large\huge\green{\sf{Given:-}}[/tex]

length of the rectangle= (2x-4)cmbreadth of the rectangle =3x cm

[tex]\large\huge\green{\sf{ToFind:-}}[/tex]

Area of triangle=??

[tex]\large\huge\green{\sf{FormulaRequired:-}}[/tex]

Area of rectangle= lxb

[tex]\large\huge\green{\sf{Solution:-}}[/tex]

➡Area of rectangle= lxb

➡Area of rectangle= (2x - 4) x (3x) cm²

➡Area of rectangle= 6x²-12x

activist judges believe that federal judges should

Answers

Answer:

beyond the words of a constitution or statute to consider the broader societal implications of their decisions.

Step-by-step explanation:

Data were collected on the number of days per week that members visit a certain fitness center. The values varied from 0 to 7, and a distribution of relative frequencies for the values was created. Let the random variable X represent the number of days per week that a member visits. The mean of X is 3.12. Which of the following statements is the best interpretation of the mean
A. Each member visits the fitness center 3 or 4 days per week.
B. The average number of days that each member visits the fitness center is 3.12 days per week.
C. Half the members visit the fitness center 3 days per week or less, and the other half 4 days per week or more.
D. The long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week.
E. For a random sample of members selected from the population, the average number of visits for the sample will be 3.12 days per week.

Answers

Answer: D

Step-by-step explanation:

The long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week. Option D is correct.

What is mean?

The mean of the values is the ratio of the total sum of values to the number of values.

Here,
Let the random variable X represent the number of days per week that a member visits.
The mean of X is 3.12.
This mean describes that on an average 3.12 day in a week members visit the fitness center, it implies that the long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week.

Thus, the long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week. Option D is correct.

Learn more about mean here:

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A car travels 182 kilometers in 4 hours with the constant speed. how much time will it take traveling 42 kilometers

Answers

Answer:

55.38 min

Step-by-step explanation:

A car travels,

182 km ⇒ 4 hours

And we have to find the time that it takes to travel 42 km .

Lets make a equation.

Let the unknown time be x

182 km ⇒ 4 hours

42 km ⇒ x

To make easy let's km in to meters and hours in to minutes

182000 m ⇒ 240 min

42000m ⇒ x

Now use cross multiplication.

[tex]182000x=240*42000\\[/tex]

[tex]182000x=10080000[/tex]

[tex]\frac{182000x}{182000} =\frac{1008000}{182000}[/tex]

[tex]x =55.38min[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

-2x(-3x +2)- (x+2)2
giúp tôi với!

Answers

Answer:

-32 or 4x -8

Step-by-step explanation:

-2 ( -3x + 2 ) : 6x - 4

= 6x -4 - 2 ( x + 2 )

- 2 ( x + 2 ) : - 2x -4

=6x - 4 - 2x - 4

= 6x -2x - 4 - 4

= 6x - 2x - 8

= 4x - 8

= -32  

( Im not really sure what is the answer )

( the "x" is alphabet, not "times" )

Ok done. Thank to me :>

Can someone help and explain please!

Answers

Answer:

19.56

Step-by-step explanation:

Discount 25% of $24.60 is :

(25/100) x 24.6 = 6.15

$24.60 - 6.15 = $18.45

Tax 4.5% of $24.60 is :

(4.5/100) x 24.6 = 1.107 approx. 1.11

Amount to be paid = $18.45 + $1.11 = $19.56

Julie is a cashier. She can ring up 12 customers in 9 mintesutes. At the rate, how many minutes does it take for her to ring up 4 customers?

Answers

Answer:

5.2

Step-by-step explanation:

ok so we need to find the unit rate( how many customers per minute) and thats 12 divided by 9 which is 1.3 minutes per customer so now we need to find what 1.3 minutes is x4 customers. This brings us to 5.2.

What is the perimeter of the inside of the track?

Answers

Answer:

Well add up the sides you can make the curving part into a full circle and calculate for the circumference.

So if the half of the circle straight part is 62 you times it by π. But π (pi) can be a fraction and a decimal: 22/7 or 3.14 although (pi) is 3.14 that is because after .14 there is ton of number so it constantly continues.

Method:

C = 2πr

or

C = πr

I hope this gives you a hint.

Answer:

394.68 m

Step-by-step explanation:

The 2 ends are half circles, so together they make a circle.

The diameter is 62 m, so the circumference is pi x diameter, or 3.14 x 62 = 194.68.

The top and bottom parts of the track are each 100 m, so add 2 of them = 200 m.

Add all 3 parts 194.68 + 200 = 394.68 m.

can soomeone plz help me
On February 26, Berkshire Hathaway closed at $197,690 per share. One year earlier, one share closed at $223,970. What was an approximate one-year percent change?

Answers

Answer:

13%

Step-by-step explanation:

formula : old number - New number/ old number x 100

So 197,690 - 223,970  / 197,690 x 100

which is about 13% percent after calculation

or 13.2935403915% to be exact

Answer:

Step-by-step explanation:

Answer:

13%

Step-by-step explanation:

formula : old number - New number/ old number x 100

So 197,690 - 223,970  / 197,690 x 100

which is about 13% percent after calculation

or 13.2935403915% to be exact

Who’s smart ,but it’s math

Answers

Answer:

The answer is c

Step-by-step explanation:

Which of the following statements is true?


The range is the set of all input values and is the independent variable.


The domain is the dependent variable and is determined by the range.


The independent variable varies as the dependent variable varies

The independent variable is the input value

Answers

Answer:

TRUE

TRUE

FALSE

FALSE

TRUE

Answer:

first one is true

Step-by-step explanation:

10. Find the range of possible values for the variable.

Answers

The range of possible values for the variable is x < 12

From the given figure, we can see that the side facing angle 30 degrees, is greater than the side facing angle 3x -6. Therefore the inequality expression is true based on the figure.

30 > 3x - 6

Swap sides

3x - 6 < 30

Add 6 to both sides

3x - 6 + 6 < 30 + 6

3x < 36

Divide both sides by 3

3x/3 < 36/3

x < 12

Hence the range of possible values for the variable is x < 12

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please help 31 pts and brainlist if you give me a step by step explanation on how to do this

Answers

Answer: Hence, by ASA ( Angle side Angle) Rule of congruency two triangles;

Angle ADE = CDF Hence proved.

Step-by-step explanation:Diagram of two triangles are given such that side ED = FD and <AED = < CFD = 90

To Find: TO prove <ADE = <CDF

Solution; In figure ; we can see that <EDA and <FDC are vertically opposite angles and hence are equal.

=> <EDA = <FDC |Vertically opposite angles

<DEA = <CFD = 90 |Given

Also, ED = FD |Given

Hence, by ASA (Angle Side Angle)

Rule of congruency two triangles; <ADE = <CDF

Hence Proved.

Enter the value of :

Answers

Answer:49

Step-by-step explanation: The square root of a number is a number that, when multiplied by itself, equals the desired value. So, for example, the square root of 49 is 7 (7x7=49). The process of multiplying a number times itself is called squaring.

Which type of graphs can show continuous data?
a. line graph
b. bar graph
c. line plot
d. pictograph

Answers

Bar graph is the answer

Answer:

bar and line

Step-by-step explanation:

giving brainliest to anyone who solves this question CORRECTLY WITH NO LINKS

5 ti the fifth power + 16 divided by 19 times 20 plus one equals ?????

Answers

Answer:

3307.31578947

Step-by-step explanation:

Answer:

I believe it's [tex]\frac{62839}{19}[/tex], or 3307.31578947

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

brainliest will be immensely appreciated uwu

On Monday, 412 students went on a trip to the zoo. All 8 buses were filled and 4
students had to travel in cars. How many students were in each bus?
Let s = number of students on each bus?

Answers

Answer:

51

Step-by-step explanation:

Let x be the number of people in a bus. Since we have the total and the people in the car in addition to the number of busses, we can write an equation like this:

total students = (number of people in a bus) * (number of busses) + leftovers

Our equation we come up with is:

412 = s * 8 + 4

Solve

s*8=408

s=51

8. If the weights of males are normally distributed with mean = 170 and standard deviation = 20, what weight (to the nearest
pound) would correspond with the 40th percentile?
A) 68
B) 165
C) 175
D) 162
E) none of the above

Answers

Answer:

E. none of the above

Step-by-step explanation:

20 doesnt fit any of these answers

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