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.

Learn more about arithmetic progression;

https://brainly.com/question/16947807

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Related Questions

ANSWER IT!!! I ONLY HAVE MINUTES ​

Answers

Answer:

D

Step-by-step explanation:

5 + n is the sum of 5 and a number

amd then "less than or equal to -7" represents the no more than -7

Answer:

D

Step-by-step explanation:

To the moderator that deleted my answer, that was not necessary in the slightest. Go back to reporting bots, not removing correct answers that are put there to help people

Ralph is on a diet. He currently weighs 248
pounds. How many pounds would he need
to lose if he wishes to weigh at most 195
pounds?

Answers

Answer:

53

Step-by-step explanation:

248-195 is 53

you should take his weight and then subtract the amount he wants to weigh

Answer:

53 pounds

Step-by-step explanation:

248 minus 195 which gives you 53

He needs to lose 53 pounds.

Hope that helped!

Help me plz I would really appreciate it!

Answers

Given,

[tex]x = \frac{7}{9} \: \: \: y = \frac{5}{6} \\ \\ - 2y + x \\ = - 2( \frac{5}{6} ) + \frac{7}{9} \\ = - \frac{5}{3} + \frac{7}{9} \\ = \frac{ - 15 + 7}{9} \\ = \frac{ - 8}{9} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.


f(x) = -x - 14
Find x if f(x) = -2

Answers

Answer:

x = -12

Step-by-step explanation:

First, you want to plug in f(x)'s value into the equation.

-2 = -x-14

Then solve for x:

x=-14+2

x=-12


Where is 0.5 on the graph? I have to do ( 0.5, 4)

Answers

Answer:

It would be between the 0 and the 1 on the horizontal line

0.5 is where the blue dot is, then for 0.5 , 4 just go up 4 from there

Why 10 is down how we get it?

Answers

i think you’re asking why 10 is there when you when from _/100? if so it’s because 10 is the square root of 100. 10 x 10 = 100. similar to how the square root of 4 is 2 and 25 would be 5. or 16 is 4.

Helppp meeee please

Answers

Answer:

The Equation for lyft is:

4.50x

The Equation for uber is

2.50x+5

Step-by-step explanation:

If you want to determine which one is better then you can just plug in the distance in place of x. For example if it asked you which one was better for 5 miles, uber or lyft you could plug 5 into the equation.

It would look like this

Lyft: 4.50 (5)= 22.5

Uber

2.50 (5) +5= 17.5

If the distance were 5 miles uber would be the better option.

Yes that would be the answer

The sum of a number and six is 22. What is the number?

Answers

Answer:

16

Step-by-step explanation:

22-6=16 16+6=22

hope this helps! :)

16 because if you add 16 you should get your answer

Plz help fast I will mark Brainlyist

Answers

Answer:

-4 -2 1 the top are 2/6 -2/8

Step-by-step explanation:

I don't know if that's right but yea hope that helps

Leo solved the equation b = 12 a−1−−−−−√3 for a, but made an error. His work is shown. Complete the sentences that follow.

Answers

The value of a in terms of b is given as [tex]a = 8b^3[/tex]

Given the equation solved by Leo expressed as [tex]b=\frac{1}{2}\sqrt[3]{a-1}[/tex]

We are to solve the equation for the variable "a"

Given;

[tex]b=\frac{1}{2}\sqrt[3]{a-1}[/tex]

Cross multiply

[tex]2b=\sqrt[3]{a-1}[/tex]

Cube both sides of the equation:

[tex](2b)^3=(\sqrt[3]{a-1})^3 \\8b^3=a-1[/tex]

Add 1 to both sides of the equation:

[tex]8b^3+1=a-1+1\\8b^3=a\\Swap\\a=8b^3[/tex]

Hence the value of a in terms of b is given as [tex]a = 8b^3[/tex]

Learn more on subject of formula here: https://brainly.com/question/657646

Amelia, Luis, Shauna, and Clarence used different approaches to solve the inequality
7.2b + 6.5 > 4.8b – 8.1.

Amelia started by subtracting 7.2b from both sides to get 6.5 > –2.4b – 8.1.
Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.
Shauna started by subtracting 6.5 from both sides to get 7.2b > 4.8b – 14.6.
Clarence started by adding 8.1 to both sides to get 7.2b + 14.6 > 4.8b.
Which student’s first step was incorrect, and why?

Answers

Answer:

B

Step-by-step explanation:

Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.

Answer:

Luis’s, because he flipped the inequality sign when he subtracted

Step-by-step explanation:

Luis’s, because he flipped the inequality sign when he subtracted

Given that Sine theta = StartFraction 21 Over 29 EndFraction, what is the value of cosine theta, for 0 degrees less-than theta less-than 90 degrees? Negative StartRoot StartFraction 20 Over 29 EndFraction EndRoot Negative StartFraction 20 Over 29 EndFraction StartFraction 20 Over 29 EndFraction StartRoot StartFraction 20 Over 29 EndFraction EndRoot.

Answers

Answer:

[tex]cos\theta=\frac{20}{29}[/tex]

Step-by-step explanation:

Problem:

[tex]sin\theta=\frac{21}{29},cos\theta=?,0^\circ<\theta<90^\circ[/tex]

Given:

[tex]sin\theta=\frac{opposite}{hypotenuse}=\frac{21}{29}[/tex]

[tex]cos\theta=\frac{adjacent}{hypotenuse}=\frac{x}{29}[/tex]

Solve for adjacent side:

[tex]a^2+b^2=c^2[/tex]

[tex]x^2+21^2=29^2[/tex]

[tex]x^2+441=841[/tex]

[tex]x^2=400[/tex]

[tex]x=20[/tex]

Final answer:

[tex]cos\theta=\frac{20}{29}[/tex]

The value  [tex]\rm Cos\theta[/tex] is 20/29 and it can be determined by using the Pythagoras theorem.

Given that,

The value  [tex]\rm Sin\theta[/tex] is 21/29,

Where [tex]0^{\circ}< \theta<90 ^{\circ}[/tex].

We have to determine,

The value of [tex]\rm Cos\theta[/tex]?

According to the question,

To determine the value of [tex]\rm Cos\theta[/tex] following all the steps given below.

The formula of [tex]\rm Sin\theta[/tex] is,

[tex]\rm Sin\theta =\dfrac{Perpendicular}{Hypotenuse}\\\\[/tex]

On comparing to the given value of  [tex]\rm Sin\theta[/tex] is,

[tex]\rm Sin\theta =\dfrac{Perpendicular}{Hypotenuse}\\\\\rm Sin\theta =\dfrac{21}{29}\\\\[/tex]

Here, Hypotenuse = 29, and Perpendicular = 21

Then,

The formula of [tex]\rm Cos\theta[/tex] is,

[tex]\rm Cos\theta =\dfrac{Base}{Hypotenuse}\\\\[/tex]

Let, the base be x,

The value of base finding by using Pythagoras theorem,

[tex]\rm {(Hypotenuse)}2 = (Perpendicular)^2+ (Base)^2\\\\ (29)^2 = (21)^2 + (x)^2\\\\841= 441 +x^2\\\\x^2 = 841-441\\\\x^2 = 400\\\\x = 20[/tex]

The value of the base is 20.

Therefore,

[tex]\rm Cos\theta =\dfrac{Base}{Hypotenuse}\\\\\rm Cos\theta =\dfrac{20}{29}\\\\[/tex]

Hence, The value  [tex]\rm Cos\theta[/tex] is 20/29.

For more details about Pythagoras theorem refer to the link given below.

https://brainly.com/question/13710437


The lawn is a circle with radius 3m.
Work out the area of the lawn.

Answers

Answer:

28.27m

Step-by-step explanation:

the formula for area of a circle is

A= π x r^2

A = π x r^2 = π x 3^2 = 28.27433

How to solve this question?

Answers

Answer: -3

Step-by-step explanation:

The axis of symettry is basically what cuts the parabola perfectly in half. In this case draw a horizontal line right through -3 on the x-axis

Answer:

[tex]x=-3[/tex]

Step-by-step explanation:

A parabola's axis of symmetry is located at the line [tex]x=h[/tex] and essentially divides the parabola in half. The vertex is [tex](-3,4)[/tex] so the axis of symmetry is located at the line [tex]x=-3[/tex]

Can i get some help :

Answers

Answer:

New Price = 1.55c

Step-by-step explanation:

Since we are asked to represent the original cost of the toy as c, and not it's actual cost of ($9.84 - $3.49, or $6.35), I'll assume the question is interested only in the relative price increase.  The relative increase is 3.49/6.35 or 55%.  The new price is 155% or 1.55 times the original price.

That means we have New Price = 1.55c

a building 270 feet tall casts a 40 foot long shadow. if a person looks down from the top of the building, what is the measure of the angle between the upper end of the shadow and the vertical side of the building to the nearest degree? (assume the person's eyes are level with the top of the building)
A. 81°
B. 8°
C. 9°
D. 82°​

Answers

Answer:

A.

Step-by-step explanation:

Use tangent ratio

Answer:

A.

Step-by-step explanation:

Use tangent ratio

Kali earns $8 per hour. She worked x hours on both Monday and Tuesday. She also worked 5 hours on Thursday. The expression that represents Kali’s earnings for the week is shown.
2 (8 x) + 5 (box)
Which number should go in the box to complete the expression?
2
5
6
8

Answers

Answer:

8

Step-by-step explanation:

2(8x) + 5(8)
8 will go in the box

does the table represent a function, -3, 6, -2,9, 0,4, -2,5

Answers

Answer:

No.  There are two solutions to the point x=-2:  9 and 5.

Step-by-step explanation:

Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, for the same x position, then the graph is not a function.

Please help I don't understand i'm in the lowest class?

Answers

Answer:

Step-by-step explanation:

find the distance, midpoint, and slope of line AB. A(-2,-1) and B(6,3)

Answers

Answer:

[tex]Slope (m) = \frac{y}{x}=\frac{1}{2} = 0.5[/tex]

[tex]Distance (d) = \sqrt{x^2+y^2} =\sqrt{80} =8.9442719099992[/tex]

[tex]Mindpoint =\left(2,\:1\right)[/tex]

Step-by-step explanation:

[tex]Slope (m) = \frac{y}{x}=\frac{1}{2} = 0.5[/tex]

[tex]0 = arctan(\frac{y}{x} = 26.565051177078^o[/tex]

[tex]Distance (d) = \sqrt{x^2+y^2} =\sqrt{80} =8.9442719099992[/tex]

X = 6 – -2 = 8

Y = 3 – -1 = 4

Equation of the line:

y = 0.5x

When x=0, y = 0

When y=0, x = -0

Midpoint:

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(6,\:3\right)[/tex]

[tex]=\left(\frac{6-2}{2},\:\frac{3-1}{2}\right)[/tex]

[tex]=\left(2,\:1\right)[/tex]

Gabriel purchases a rug priced at $475. With sales tax, the total comes out to $513. What is the sales tax percentage?

Answers

Answer:

The tax is 8%

Step-by-step explanation:

Take the final price and subtract the original price

513-475 = 38

Divide by the original price

38/475 =.08

Change to percent form

8%

The tax is 8%

The tax price is 8%

513 - 475 = 38

38/475 = 0.08

To check your work.

475 x 0.08 = 38

475 + 38 = 513

Meaning the answer is 8%

I NEED HELP ASP AHH
I need help on number 5 and 8
This is for geometry
number 5 and 8 are rhe blank ones​

Answers

#5:

Let's first start by solving for x. The two angles with x's in them form a linear pair, or are supplementary angles, meaning that they add up to 180 degrees.

(4x + 23) + (9x - 38) = 180

13x - 15 = 180

13x = 195

x = 15

Now that we have x, we can solve for y. Alternate interior angles are congruent.

(4x + 23) = (21y - 1)

4(15) + 23 = 21y - 1

60 + 23 = 21y - 1

83 = 21y - 1

84 = 21y

y = 4

#8:

Let's first start by solving for x. The two angles with x's in them are corresponding angles, meaning that they are congruent.

10x = 13x - 33

-3x = -33

x = 11

Now that we have x, let's figure out how we can find y. Looking at the angle with a value of 10x, we can find its supplement. That supplement then, is a corresponding angle with the 5y angle, meaning that they are congruent.

Supplement = 180 - 10x

Supplement = 180 - 10(11)

Supplement = 180 - 110

Supplement = 70

Supplement = 5y

70 = 5y

y = 14

Hope this helps! :)

- #5 -

y = 4

[] First we need to solve for x, these are on a straight line so we can set them equal to 180 degrees and solve because they are supplement angles:

4x + 23 + 9x - 38 = 180

13x - 15 = 180

13x = 195

x = 15

[] Now we will plug-in and solve for one of them

9x - 38

9(15) - 38

135 - 38 = 97

[] Last, the y angle and the angle we just solved for can be added together and set equal to 180 because they are supplement angles:

97 + 21y - 1 = 180

96 + 21y = 180

21y = 84

y = 4

- #8 -

y  = 14

[] First we need to solve for x, these are corresponding angles so we can set them equal to each other:

13x - 33 = 10x

-33 = -3x

11 = x

[] Plug-in and solve for one of them

10x  = 10(11) = 110

[] Last, the line is 180 degrees so we can add them together, set it equal to 180, and solve

110 + 5y = 180

5y = 70

14

- See attached for where I am pulling numbers from -

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

What are the steps to convert a number from standard notation to scientific notation? ​

Answers

Answer:

Consider a big number 3,400,000. To convert this number into scientific notation:

Place a decimal by counting the steps to the left until the coefficient of the number is between 1 and 9.

Count the number of steps moved. This will be the power of the base 10.

In this case, the coefficient is 3.4 and the 6 steps are moved.

Multiply the coefficient by 106,

Therefore, the answer is 3. 4 x 10 6

Step-by-step explanation:

What do the following two equations represent?
y = -x + 5
.
5x + 5y = 20
=
Choose 1 answer:
The same line
Distinct parallel lines
Perpendicular lines
Intersecting, but not perpendicular lines

Answers

Answer:

i think B is answer

Step-by-step explanation:

good luck

I think it’s the same line

In a bar graph space between rectangles is always​

Answers

Answer:

the same

Step-by-step explanation:

Not as histograms where space must equal 0 as calculating area is needed.

omg please i need help this is worth sm pointssss PLEASE BESTIES

Answers

Answer: 1. don't call me your bestie...

2. the answer is A. 72 B. 75 C. 55 D. 52 E. 112 F. 55 G. I'm not sure what G is

which is equivalent to 2^-3/2^2

Answers

Answer:

[tex]1/32[/tex]

Step-by-step explanation:

To understand this question you would first of all need to know about negative exponents and multiply fraction by integers.

Example I would like to find out [tex]2^{-2}[/tex],

You would first normally solve this question by squaring, which would result in 4 then divide it by 1. Like this: [tex]1/2^{2}[/tex]

Which would be 0.25 or 1/4

Lets apply this knowledge to the following question:

1. [tex]2^{-3} / 2^{2}[/tex]

2. [tex]\frac{1}{8} / 4[/tex]

3. [tex]1/32[/tex]

An astronomical unit (AU) is the average distance between Earth and the sun. One AU is equal to approximately 150,000,000 km. Astronomers also use light years to measure distance. A light year is approximately 9.5×10^12
km.

Use scientific notation to rewrite the measure of one astronomical unit (1 AU) in kilometers

Answers

Using scientific notation, it is found that the measure of one astronomical unit in kilometers is [tex]1.5 \times 10^8[/tex]

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

In which [tex]a \in [1, 10)[/tex]To realize the conversion from decimal to scientific notation, b is the number of decimal places the comma moves, being positive if to the left, negative if to the right.  

In this problem, 1 AU = 150,000,000 km.

The comma has to move 8 places to the right, hence [tex]b = 8[/tex]

Then, the measure is: [tex]1.5 \times 10^8[/tex]

For more on scientific notation, you can check https://brainly.com/question/16394306

please help me with this

Answers

Answer:

-9

Step-by-step explanation:

a(2) = a(1)+4 = -13+4 = -9

If there were 24 coins in all, how many more gold coins than copper coins were in the jar?

Answers

Answer: 8 (I think)

Step-by-step explanation:

There are 24 coins in all. 1/2 gold coins and 1/6 copper coins.

1/2 of 24 is 12

1/6 of 24 is 4

12 - 4 = 8

So there are 8 more gold coins than copper.

     

there are 24 coins in all and half of the coins are gold, half of 24 is 12. So since gold is 12, the copper and silver coins share the other half, looking at the chart I’m thinking that the silver coins has 2 more than the copper coins so the silver coin would have 8 and the copper coins would be 4. The question is asking for how many coins gold has than copper so you subtract 12-4 and you would get 8.

So your answer is 8.
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