Is 9.78778777... a rational or irrational number?

Answers

Answer 1
The answer is - Irrational
Answer 2

The given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.

The given decimal number is 9.78778777....

We need to check whether the given decimal number is a rational or irrational number.

What are rational and irrational numbers?

Rational numbers: Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).

Irrational numbers: Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero (q ≠ 0). Also, the decimal expansion of an irrational number is neither terminating nor repeating.

So, from the definition of rational and irrational numbers, we can say the given decimal number 9.78778777... is irrational.

Since the given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.

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Related Questions

Please answer these questions I will mark brainliest

Answers

1. C

2. A

3. A

i’m pretty sure for 1,2. 3 i’m a little iffy but i think it’s A bc “homogenizing”

there are between 25 and 43 students in a class
the ratio of boys to girls is 5 : 7
how many students are in the class?

Answers

Answer:

36

Step-by-step explanation:

Since the sum of the ratios is 5+7=12 the total number of students must be divisible by 12

The only number within the given range is 36

The number of students should be in the class should be considered as the 36.

Calculation of the number of students:

Since

there are between 25 and 43 students in a class

the ratio of boys to girls is 5 : 7

So here the total ratio should be like

= 5 + 7

= 12

So here the number of students should be divisible by 12

So, it should be 36

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Convert the Following: 5.4 oz=__________ mg

Answers

Answer:

153087 mg

Step-by-step explanation:

A Sweater That normally costs $25.00 is on sale for 10 percent Off.
What will the Discount be?
what will the cost of the Sweater be?
Can Someone Please PLEASE help me??

Answers

Answer:

15.00

Step-by-step explanati

the discount is 15% because you need to subtract it

A ranch hand herded his cattle to some grazing land. Then he began riding back to the ranch, which is due west, at 7 kilometers per hour. Simultaneously, the cows began moving away from him, too, headed due east at 2 kilometers per hour. How long did it take for the herd and the ranch hand to be 4 kilometers apart?

Answers

Answer:

4 kilometrs

Step-by-step explanation:

if you add the 2 to another 2 you get four

Answer:

4 kilometres

Hope this helped!

Considerando las siguientes variables a = ancho y l = longitud, determina su valor, si se sabe que se cuenta con un rectángulo que tiene como perímetro 35 metros, y se sabe que el doble de su ancho es igual a 3 veces su longitud.

Answers

Answer:

La longitud = 7 metros

La anchor = 10.5 metros

Step-by-step explanation:

La fórmula para el perímetro de un rectángulo es

P = 2L + 2W

L = longitud

A = ancho

P = 35 metros

se sabe que el doble de su ancho es igual a 3 veces su largo.

2A = 3L

Ancho = 3L / 2 = 1.5L

Sustituimos 1.5L por W

35 = 2 L + 2 (1.5 L)

35 = 2L + 3L

35 = 5 litros

L = 35/5

L = 7 metros

Por lo tanto, la longitud = 7 metros

Recuerda

A = 1.5 L

A = 1.5 × 7

A = 10.5 metros

La anchor = 10.5 metros

Identify an equation in point-slope form for the line parallel to y+-2/3x+8 that passes through (4, -5).

Answers

Step-by-step explanation:

Line parallel to the line y = -2/3 x + 8 also has the slope -2/3.

Since the line passes through (4, -5), we have (x - 4) written on the right side and (y + 5) on the left side.

Hence the equation is y + 5 = -2/3 * (x - 4). (B)

A man drops a stone from a bridge. How high is the bridge if the stone hits the water 4 seconds later

Answers

Answer: 4 feet

Step-by-step explanation:

Which expression is equivalent to 15x + 3?
15(1x + 1)
5(3x + 1)
3(5x + 1)
2(15x + 3)

Answers

The answer is 3(5x+1)
It is 3(5x + 1). Multiply 3 with 5 and multiply 3 with 1, then you will get 15x + 3

Given h(x) = 3x + 4, find h(-1).

Answers

Plug in -1 for x
h(-1) = 3(-1) + 4
h(-1) = -3 + 4
Solution: h(-1) = 1

The value of h(-1) for the given funciton  h(x) = 3x + 4 will be 1.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

Given the function  h(x) = 3x + 4

If we want to calculate the value of the function at a certain point then we need to keep that point in the function.

So,

Value of function at = -1 will be

h (-1) = 3(-1) + 4

h(-1) = 1

Hence "  The value of h(-1) for the given funciton  h(x) = 3x + 4 will be 1".

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WHICH OF THE FOLLOWING IS TRUE FOR THIS SITUATION?

Answers

B (sorry if wrong) hope this helps
It’s D

Check the graph, they both are at 4 inches by 6 weeks so that’s the right answer

transversals angles​

Answers

3 or in this case the answer is C

the answer of your question is angle 3

A recipe for 1 batch of spice mix says, “Combine 3 teaspoons of mustard seeds, 5 teaspoons of chili powder, and 1 teaspoon of salt.” How many batches are represented by the diagram? Explain or show your reasoning.

Answers

Answer:

There is no diagram for our observation. Please refine your question next time.

Step-by-step explanation:

Geometry Question:

Find the value of x that makes N the incenter of the triangle (See attached)

Answers

Answer:

.5 or 1/2

Step-by-step explanation:

Y^2x 24^2=25^2

Y=7

7=14x

x=.5

The value of x is 0.5.

The calculation is as follows:

Here we use Pythagoras Theorem

[tex]Y^2 - 24^2=25^2[/tex]

Y=7

Now  

7 = 14x

So, x=.5

Therefore we can conclude that The value of x is 0.5.

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Ten(10) adults and 3 children attend a local concert for $59. Four(4) adults and 3
children attend the same concert for $29. How much does it cost for each to attend?

Answers

Answer:

$5 per adult and $3 per kid

Step-by-step explanation:

5x10=50

3x3=9

50+9=59

4x5=20

3x3=9

20+9=29

1. y = 5x + 2, (2,7)

Answers

y=5x−2 , y=−2x+5

Eliminate the equal sides of each equation and combine.

5x−2=−2x+5

Move all terms containing

x

to the left side of the equation.

Tap for more steps...

7x−2=5y=−2x+5

Move all terms not containing

x

to the right side of the equation.

Tap for more steps...

7x=7y=−2x+5

Divide each term by

7

and simplify.

Tap for more steps...

x=1y=−2x+5

Replace all occurrences of x in y=−2x+5 with 1.

x=1y=−2⋅1+5

Simplify −2⋅1+5.

Tap for more steps...

x=1y=3

The solution to the system of equations can be represented as a point.(1,3)

The result can be shown in multiple forms.

Point Form:(1,3)

Equation Form:

x=1,y=3

I don’t understand so please HELPPPPPPPPPPPPPP

Answers

Answer:

C

Step-by-step explanation:

Okay so im going to gudie you thru So what it is asking you is to Count all the cubic squares looking things so what i can see is that You circled 169 aka C that would be correct because it cant be 11 cause it dosent look like 11 square units  lol you get what im saying so the answer is C hope this HELPSS!!

By the way follow my insta. exotic. jaliyah if you need anymore help

C i believe the answer is C

What are the answers?

Answers

Answer:

Step-by-step explanation:

I need the statements please.

BBBBBBBVVVVVBBBBBBBBBBVV

Answers

Answer:

A. 8(4+2)

Step-by-step explanation:

have a nice day

Find the sale price of the item. Round to two decimal places if necessary. Original price: $238.13 Markdown: 70% The sale price is $

pls help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! due very soon!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

$71.44

Step-by-step explanation:

What is the quotation (-3)^0/(-3)^2

Answers

Hey there!

(-3)^0 / (-3)^2

(-3)^0 = 1 ⬅️ Numerator

(-3)^2 = (-3)(-3) = 9 ⬅️ Denominator

Answer: 1/9 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

6th grade math i mark as brainliest​

Answers

Answer:

There are 5 terms

Step-by-step explanation:

each number is its own term

What is 23/24 as a decimal rounded to the nearest hundredth?

Answers

Answer:

95.80

Step-by-step explanation:

The number 23/24 rounded to the nearest hundredth is 0.96

What is rounding up numbers?

There are basically two rules while rounding up numbers

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

Given data ,

Let the number be A = 23/24

So , in order to round the number

First we need to find the decimal for of the number A

And ,

A = 23/24

A = 0.9583

And , rounding the number to its nearest hundredth is rounding the number to two decimal places

So ,

A = 0.9583

A = 0.96

Hence , The number 23/24 rounded to the nearest hundredth is 0.96

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An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15.7 inches, so the equation to solve is 2a + b = 15.7.
Which lengths make sense for possible values of b? Check all that apply.
–2 in.
0 in.
0.5 in.
2 in.
7.9 in.

Answers

Answer:

0.5 in, 2 in

Step-by-step explanation:

It cannot be a negative number, so -2 is out.If we use Pythagorean's theorem ([tex]a^2+b^2=c^2[/tex]), we know that only 0.5 and 2 are correct values of b.

HELP ME, PLEASE. I REALLY NEED IT
Find x:
[tex]S=\frac{1}{sin2x}+\frac{1}{sin4x}+\frac{1}{sin8x}+...+\frac{1}{sin2^{n}x }[/tex]

Answers

Answer:

cotx - cot2ⁿx

Step-by-step explanation:

Note: finding the sum not x

First rewrite the first term as:

1/sin2x = sinx / (sinxsin2x)  = sin(2x-x) / (sinxsin2x)  =(sin2xcosx - cosxsinx) / (sinxsin2x) = (sin2xcosx)/(sinxsin2x) - (cos2xsinx)/(sinxsin2x) = cosx/sinx - cos2x/sin2x = cotx - cot2x

Now the sum is:

S = cotx - cot2x + cot2x - cot4x +... + cot2ⁿ⁻²x - cot2ⁿx =cotx - cot2ⁿx

If f(x)= (2x +5)and g(x) = (2x2−5x+3), find f(x) · g(x) (please help)

A. 4x3 − 31x + 154x3 − 31x + 15

B.4x3 − 20x2 +19x + 154x3 − 20x2 +19x + 15

C.4x3 − 19x + 154x3 − 19x + 15

D.4x3 + 20x2 − 19x +15

Answers

Answer: 4x³-19x+15

Step-by-step explanation:

We are given f(x) and g(x). Since we need to find f(x)·g(x), we multiply f(x) and g(x).

[tex](2x+5)(2x^2-5x+3)[/tex]                               [distribute by FOIL]

[tex]4x^3-10x^2+6x+10x^2-25x+15[/tex]           [combine like terms]

[tex]4x^3-19x+15[/tex]

Now we know [tex]4x^3-19x+15[/tex] is the correct answer.

Sara bought 12 apples, 24 oranges, and 18 bananas for fruit baskets. If Sara wants to create the greatest number of fruit baskets that all have the same amount of fruit without any left over, how many baskets can she create?

Answers

Answer:

Step-by-step explanation:

Apples- 2

Oranges-4

Bananas- 3

In each basket

transversals angles​

Answers

B. 2 because it is inside and on the same side as 1

If you ask a question will the points given ne deducted from your points​

Answers

Answer:

I think so yeah. not sure though

Answer:

I think I kinda get this question but can you be a little more...Specific?

Step-by-step explanation:

Which of the tables represents a function?


Table A
Input Output
5 3
5 2
4 1
Table B
Input Output
1 2
3 2
5 3
Table C
Input Output
0 0
1 2
1 3
Table D
Input Output
4 2
4 3
4 4








Table A
Table B
Table C
Table D

Answers

Answer:

table b i think

Step-by-step explanation:

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Pls help me with this ASAP Will give brainliest Which detail from "Drawn to Barre" best supports the idea that stonecutters unions fought for workers rights? By 1900, the Barre Granite Cutters' Union had over 1000 members and was the largest in the United States. Many who came to Barre had an interest in politics. Some stonecutters wanted to start labor unions. The rules for entry became stricter over the next 20 years. By then the people of Barre had already formed a union. At the start of the 20th century, the union realized that breathing stone dust while working was extremely dangerous to workers, and tried to raise awareness about conditions. What is the correct answer? Those two please I really need help 1. Which statement best describes the author's point of view in "WilliamShakespeare's Relevance in Today's Society Is Changing?" There are 16 circles and 12 squares. What is the simplest ratio of squares to circle When 26400j of energy is supplied to a 2.0kg bloom of aluminum it temperature rise from 20oc to 35oc.The block is well so there is no energy lost to sorround determine the specific heat capacity of aluminum Is this sentence Michael Piscal, Headmaster of View Park Prep Charter School in Los Angeles said, "It's not working for teachers, it's not working for studentsit's not working for society." a main idea or claim ? Naomi has earned $135 mowing lawns the past two days. She worked 5 1/2 hours yesterday and 5 3/4 hourstoday. If Naomi is paid the same amount for every hour she works, how much does she earn per hour tomow lawns? Select the correct answer.Kevin has two test tubes filled with a clear liquid. One of them is water, and the other is vinegar. He adds a little baking powder to each liquid toidentify the test tube that contains vinegar. Select the correct observation and conclusion.OA The liquid in which baking powder dissolves is vinegar.OB. The liquid in which baking powder settles down is vinegar.OC. The liquid in which bubbles are formed is vinegar.OD. The liquid that does not change color is vinegar.O E. The test tube that becomes cold contains vinegar. Which of these statements describe you? Check all that apply.I have participated in an online discussion forum.I am comfortable speaking before large groups.I have led small or large group discussions in the classroom.I prefer working in groups rather than working on my own.I am able to share my thoughts on a topic with ease when participating in group discussions.I have been part of an online meeting that required me to use web-conferencing software. There are 130 people in a sport centre. 61 people use the gym.68 people use the swimming pool.60 people use the track.25 people use the gym and the pool.30 people use the pool and the track.19 people use the gym and the track.6 people use all three facilities.Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool? evaluate the role of king tribhuwan to establish democracy in nepal A national consumer agency selected independent random samples of 45 owners of newer cars (less than five years old) and 40 owners of older cars (more than five years old) to estimate the difference in mean dollar cost of yearly routine maintenance, such as oil changes, tire rotations, filters, and wiper blades. The agency found the mean dollar cost per year for newer cars was $195 with a standard deviation of $46. For older cars, the mean was $286 with a standard deviation of $58. Which of the following represents the 95 percent confidence interval to estimate the difference (newer minus older) in the mean dollar cost of routine maintenance between newer and older cars?A. (195 - 286) + 1.992 underroot46/45 + 58/40 B. (286 - 195) + 1.992 underroot46^2/45+ 58^2/40 C. (195 - 286)+ 1.992 underrot 140 158/45+40 D. (286 - 195) + 1.992 46 1582 45 +40 E. (195-286) +1.992 462 + 58 45 40 HELP WILL MARK BRAINLIEST Plz Help The function shown models the total number of insects in a colony x months after a small number of the insects are brought into a region. What was the total number of insects in the colony when they were first brought into the region ? Enter your answer in the box plz help me asap i need help plz i will mark you as brainlist Help me find the area please! Do you think Katniss should have helped the Avox girl when she saw her in the woods? Why or why not?