Which number is rational?

1. –2.1010010001...
2. –0.8974512...
3. 1.2547569...
4. 5.3333333...

PLEASE HELP ITS A UNIT TEST AND TIMED

Answers

Answer 1

Answer:

4.) 5.3333333....

Step-by-step explanation:

Rational numbers are either repeating decimals:

[tex]\frac{1}{3}= 0.333333333....[/tex]

Include terminating decimals:

[tex]\frac{1}{8}= 0.125[/tex]

Are all numbers that can be written as a quotient of integers:

[tex]\frac{a}{b},b\neq 0[/tex]

Options (1), (2), and (3) are neither repeating, terminating, and can't be written as a quotient of integers.

Option (4) has repeating decimals, so this is rational.

:Done

Answer 2
I think the correct answer would be option 4. 5.3333333...

Related Questions

1/4 of a pizza was broccoli and half was mushroom and 1/4 was three cheeses. George ate 1/3 of the broccoli part and 1/3 of the mushroom part and 1/2 of the 3 cheese part. How much of the total pizza did he eat?

Answers

1/4 = broccolis
1/2 = mushroom
1/4= 3 cheeses

George ate a 1/3 of the broccoli & 1/2 of the 3 cheeses.

1/3 of 1/4 broccoli= ?
1/2 of 1/4 3 cheeses = ?
1/3 of 1/2 mushrooms= ?

(1/3)/(1/4)= 5/6
(1/2)/(1/4)= 1/6
(1/3)/(1/2)= 1/6

5/6+1/6+1/6= 7/18

He ate 7/18 of the whole pizza.

He ate 5/6 of the broccoli pizza & 1/6 of the 3 cheeses.

What is the best estimate of the measure of the angle shown?

Answers

*answer was incorrect please see below*                                                                                                    

141°
as the angle is obviously larger than 90°, but not large enough to be 171° as if it were so it would be closer to a straight line (since 171° is closer to 180°) hence, the answer is 141° as it is the only option in between.

What is the nature of the solution set to the following system of equations?
5x - y = 2
2x-0.5y=3​

Answers

Answer:

u can use substitute or eliminate

BRAINLIEST TO WHOEVER ANSWERS FIRST!!
Which two statements, if true guarantee that is congruent to B?
Choose 2 answers
FGBF
DHBF
HIDH
HI FG

Answers

Answer:

HI FG

Step-by-step explanation:

Can someone please help me with this? It’s the last problem I need to turn in a test, I will mark brainliest :(

Answers

Answer:

33b - 8

Step-by-step explanation:

You solve for the perimeter like you would for any other shape by adding all the sides

The perimeter is side A + side B + side C.

so it's 9b+8 + 12b-8 + 12b-8

Add all the like terms

9b + 12 b + 12b = 33b

8 - 8 - 8= -8

= 33b -8

Gumballs cost $0.50 each and jawbreakers cost 0.30 each bob has $3.00 to spend
Create an inequality that represents the number of gumballs and jawbreakers Bob can buy

Answers

Answer:

a0.50 + b0.30 ≤ $3.00

Step-by-step explanation:

From the question, we have:

Gumballs cost per unit = $0.50

Jawbreakers cost = $0.30

Total budget of Bob = $3.00

Let a represents the number of Gumballs Bob can buy.

Let b represents the number of jawbreakers Bob can buy.

Therefore, inequality that represents the number of gumballs and jawbreakers Bob can buy can be given as follows:

a0.50 + b0.30 ≤ $3.00

The inequality implies that total amount Bob can spend on both gumballs and jawbreakers can be less or equal to $3.00 but cannot be greater than $3.00.

Julie buys a new shirt. The original price of the shirt is $35.00, but it is on sale for 25% off. There is a 7% tax on the shirt. How much will Julie pay for the shirt?

Answers

Answer: $24.08

Step-by-step explanation: 25% off $35.00 is $22.50

and adding 7% tax which equals $1.50

so it adds up to 24.08

what is 20*5 yay plz help me anwer this

Answers

Answer: 100. Can I get a Brainlest.

100 is the answer

Multiply.....

God Bless

Write the equation of the line through the given points (3, 5) and (-3,-3) in the three different forms.

Point-Slope Form
Slope-Intercept Form
Standard Form

Answers

Answer:

y-5=1/3(x-3)

y=1/3x+4

no standard form

Step-by-step explanation:

Graph the equation on the coordinate plane y=-3/2x -4

Answers

Answer:

The 3, and -4 are the places where you start, then just graph 1/2 and -3 as slope

Step-by-step explanation:

Step-by-step explanation:

you start at -4 and then you go down 3 and to the right 2

A number is called flippy if its digits alternate between two distinct digits. For example, 2020 and 37373 are flippy, but 3883 and 123123 are not. How many five-digit flippy numbers are divisible by 15?
A 3
B 4
C 5
D 6
E 8

Answers

Answer: B: 4

Step-by-step explanation:

A number is divisible by 15 if the number ends on a 0 or a 5, and the sum of its digits is divisible by 3.

We want to find a 5 digit flippy number, this can be: modeled with:

N = ababa

Where a and b are single digit numbers.

If we impose that N must end with a zero, then we will have:

N  = 0b0b0 = b0b0

This is a 4-digit number, so we can discard all the options that end with a zero.

Then the only option that we have are the numbers like:

B = 5b5b5

This number will be only divisible by 15 if:

5 + b + 5 + b + 5 = K is divisible by 3.

Then let's try find the possible values of b.

K = 3*5 + 2*b

K has two terms, the left term is already divisible by 3, then K will be divisible by 3 only if the other term is also divisible by 3.

Then we want 2*b to be divisible by 3.

And 2 is a prime number, then b must be divisible by 3, and we know that b is a number between {0,1 , 2, 3, 4, 5, 6, 7, 8 ,9}

The options are:

2*0 = 0 is divisible by 3.

2*3  = 6 is divisible by 3.

2*6 = 12 is divisible by 3

2*9 = 12 is divisible by 3.

Then we have four values of b such that:

N = 5b5b5 is divisible by 15.

Then the correct option is: B: 4

if it takes 16 yards of material to make costumes, how much material will be needed to make costumes of that same size?
A.
60.8 yards
B.
50.7 yards
C.
40 yards
D.
34 yards

Answers

Answer:

Need more information, will get back to you.

Step-by-step explanation:

How many costumes does she want to make?

the polygon is regular if each of its side has the same length. find the perimeter of the regular polygon.

18, 19, 20

helpp!!!!

Answers

18. 5-2x = -4x+9
2x = 4
x = 2
perimeter = length of one side x 3
perimeter = [5-2(2)] x 3
= 3

19. 3(x-1) = 5x-6
3x-3 = 5x-6
-2x = -3
x = 1.5
perimeter = [3(1.5-1)] x 5
=7.5

20. 4/3x-⅓ = x+7
4x-1 = 3x+21 (multiply throughout by 3 to get rid of denominator on LHS)
x = 22
perimeter = (22+7) x 6
= 29 x 6
= 174
^ not sure about qn20 because i can’t tell if it’s x+7 or x divided by 7 it’s kinda blurry

Is correct that is rounded to 30 BRAINLY PLS HELP ME OUT I FORGIT HOW TO DO THIS ASP !PLS !

Answers

Answer:

No, it doesn't.

Step-by-step explanation:

Whenever there's a "th" at the end of a mathematical word, it means decimal place. A tenth is the first number in a decimal. Ex. (Underlined is the tenth) 1.27. If you round them to the tenth, you would get 20 and 30. Therefore 20 does not round to 30 if rounding to the tenths.

Answer:

It would actually be 20.

Step-by-step explanation:

When rounding to the nearest tenth, you need to pay attention to the  second-to-last digit in the number. If the number is anything from 0 - 4 it rounds down. If the number is anything from 5 - 9, it rounds up.

Feel free to give brainliest.

Have an excellent day!

Simplify the expression by adding or subtracting the linear expressions. 12x + 6 - 8x + 7 *
4x + 1
4x + 13
20x + 13
20x + 1

Answers

Answer:

4x+13

Step-by-step explanation:

bc 12-8=4

6+7÷13

Combine like terms.
12x+6-8x+7
12x-8x= 4x
6+7=13
Answer: 4x+13

what is the percent of change between 57000 people and 97000 people, and how do I solve it? ​

Answers

Answer:

58.76

Step-by-step explanation:

So, as you can tell 97,000 is the 100 percent of the people, in this case we don't know what 57,000 is. Just divide equation 1 by equation 2. Considering both have the same unit. I'm so sorry, if this doesn't explain the best way.

The function h(n) gives the number of person-hours it takes to assemble n engines in a factory. What is a reasonable domain for h(n)?

Answers

Answer:

For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.

write in the simplest form 5.73 - ( -3.56)​

Answers

Answer:

9.28

Step-by-step explanation:

Infer Jamal is in a car going north. He looks out his window and thinks that the northbound traffic is moving very slowly. Ellen is in a car going
south. She thinks the northbound traffic is moving quickly. Explain why Jamal and Ellen have different ideas about the motion of the traffic.

Answers

Answer:

relax jamal dont pull up the 9

Step-by-step explanation:

PlS HELP QUICKLY :One of the roots of the equation x2−bx+c=0 is equal to 5. Find c in terms of b.:
Guys pls help and find what C is equal to.

Answers

Answer:First suppose that the roots of the equation

x2−bx+c=0(1)

are real and positive. From the quadratic formula, we see that the roots of (1) are of the form

b±b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2.

For the root or roots to be real, we require that b2−4c≥0, that is, b2≥4c. In order for them to be positive, we require that

b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√>0.

This immediately tells us that b>0, but we can go further. We can rearrange this to get

b>b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√,

which (assuming that b>0) is true if and only if

b2>b2−4c,

since both sides of the inequality are positive so we may square. But then

4c>0.

That is, if the roots are real and positive then b>0 and b2≥4c>0.

Now suppose that b>0 and b2≥4c>0.

Then the roots of (1) are real since b2−4c≥0, and b>0 guarantees that the root b+b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√ is positive.

So it remains to show that b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√>0. We have that

4c>0,

so that

b2>b2−4c,

then square rooting shows that

b>b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√,

so the roots of (1) are real and positive, as required.

Approach 2

the curve y equals x squared minus b x plus c showing two positive roots for y equals zero

This is intended to be a proof without words! We have from the diagram that:

If c, b and b2−4c are all positive, there are two real positive roots for x2−bx+c=0 (if b2=4c, we have two real positive equal roots).

If there are two real positive roots for x2−bx+c=0, then c and b are positive and b2−4c is non-negative.

(Why is the distance between the roots b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√?)

Approach 3

When solving problems about the roots of polynomials, it is often useful to find expressions those roots must satisfy and see if this tells us anything new. If α and β denote the roots of the equation, then

x2−bx+c=(x−α)(x−β)=x2−(α+β)x+αβ

and so α+β=b and αβ=c.

We also know that the roots of a quadratic equation are real if and only if the discriminant is non-negative, that is, if and only if b2−4c≥0.

Using these facts, if α and β are both real and positive, then b=α+β>0, c=αβ>0 and b2≥4c, as above.

Conversely, if b>0 and b2≥4c>0, then we know the discriminant is positive and hence both roots are real. We also have that

αβ>0(2)

and

α+β>0.(3)

As α and β are both real, by (2), we know that α and β are either both positive or both negative. However, if α and β were both negative, then (3) could not possibly hold. Hence α and β are both positive, as required.

We now sketch on a graph the region where b>0, c>0 and b2≥4c:

The curve b squared = 4 c as a quadratic with the c-axis vertical and the b-axis horizontal. The region below it is shaded.

The region of the b-c plane for which b>0, c>0 and b2≥4c

Sketch the region of the b-c plane in which the roots of the equation are real and less than 1 in magnitude.

We know that in order for the roots to be real we need b2≥4c as in the first part. We now need to find the region where

−1<b±b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2<1.(4)

We have b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2≤b+b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2 so we only need to consider the values for which both

−1<b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2andb+b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√2<1.

Firstly, we will consider the values for which

b+b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√<2.

Rearranging gives

b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√<2−b.

So b<2, as the square root is non-negative, and we can square both sides to get

b2−4c<4−4b+b2,

which we may rearrange to find c>b−1.

We will now consider the values for which

−2<b−b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√.

Similarly, we can rearrange to get

b2−4c⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√<b+2.

So b>−2, and we can, as before, square to get

b2−4c<b2+4b+4,

and hence c>−b−1.

To sketch the graph, we start by considering the boundary curves b2=4c, c=b−1 and c=−b−1, and the points at which they intersect. We can see that the two lines only intersect when b=0 and c=−1, and the lines intersect the curve when

b2=4b−4andb2=−4b−4

which rearrange to

(b−2)2=0and(b+2)2=0.

This tells us that each line intersects with the curve in only one place and so these lines must be tangent.

Is there a way we could have deduced this directly from (4)?

What do the lines being tangent signify in terms of our equation x2−bx+c=0?

Is this a representation of a well-known property of these equations?

Sketching the graph then yields the following picture:

The graph with the previous curve and the lines 4 c = 4 b minus 4 and 4 c = minus 4 b - 4. Each line touches the curve once and the two lines intersect at (0, minus 1). The region between the three lines/curves is shaded.

The shaded region is where b2≥4c, c>b−1, c>−b−1 and −2<b<2

We might notice that when we derived the inequalities c>b−1 and c>−b−1, a lot of the work we did was very similar.

We might also notice that the graph above is symmetric about the c axis. Why is this?

Does the graph give us any ideas about how we might deduce one inequality from the other?

Step-by-step explanation:

A circle is inscribed with 5 lines. The center of the circle is labeled point O. Four lines extend from point O. One connects to point W on the edge of the circle. The second line extends past the circle edge through point X on the edge. The third extends past the circle edge through point Z. The fourth extends past the circle edge through point Y. A line connects points W and X. The angle created by ray OX and ray OZ is angle . The two rays that create YOX are ray OX and ray . The center of the circle is point .

Answers

Answer:

XOZ

OY

O

Step-by-step explanation:

just took it on edge

PLEASE HELP FAST
The midpoint of AB is M(-4, 0). If the coordinates of A are (-6, 6), what are the coordinates of B?

Answers

Answer:

The coordinates of B are: (a, b)=(-2, -6)

Step-by-step explanation:

Let (a, b) be the coordinates of the point 'B'.

As

The midpoint of AB is M(-4, 0)

The coordinates of A are (-6, 6)

The midpoint (x,y) of line joining points (x₁, x₂) and (y₁, y₂)

[tex]x=\frac{x_1+x_2}{2},\:y=\frac{y_1+y_2}{2}[/tex]

-4 = (-6+a)/2  and  0 = (6+b)/2

-8=-6+a          

-8+6=a                  

a=-2

0=(6+b)/2

0=6+b

b=-6

Therefore, the coordinates of B are: (a, b)=(-2, -6)

El entrenamiento que hace marco 10 dias antes de su carrera es constante. Diariamente corre 45 minutos a una velocidad de 30 km-h ¿Cuántos kilómetros ha corrido Marcos durante esos 10 dias?

Answers

Responder:

225 kilometros

Explicación paso a paso:

Dado que :

Velocidad de funcionamiento = 30 km / h

Duración = 45 minutos

Número de días = 10 días

Distancia total recorrida por día:

Duración en horas:

45 minutos / 60 = 0,75 hora (s)

Así, la distancia recorrida por día:

Tiempo de velocidad

30 km / h * 0,75 h = 22,5 km

Por lo tanto, la distancia total recorrida durante 10 días:

Distancia recorrida diariamente * 10

22,5 kilometros * 10 = 225 kilometros

[tex]\sqrt{8}+\sqrt{18}-\sqrt{32}[/tex]

Answers


√8+√18−√32
√2^2·2+√3^2·2−√2^4·2
√2^ 2·√2+√3^2·√2−√2^4·√2


√2 is the answer

pleaseeeee helpppppp​

Answers

Answer:

BCE

Step-by-step explanation:

I hoped this helped and mark me as brainly pls

Answer:

a c b d

Step-by-step explanation:

yk = m + n
Solve the following equation for k:

Answers

There isn’t enough info to understand
Isolate k. To do this, divide y to both sides.
k = m + n / y

Triangle CDA is the image of triangle ABC after a 1800 rotation around the midpoint of segment AC. Triangle ECB is the image of triangle ABC after a 1800 rotation around the midpoint of segment BC.

Explain why ABCD and ABEC are parallelograms.
Identify at least two pairs of congruent angles in the figure and explain how you know they are congruent.
Explain how to use what you know about the sum of the angles in a triangle to figure out the sum of the angles of quadrilateral ABED.

Answers

1. they both have 2 different congruent sides

2. angles ACD and BEC, since they are the same triangles, and are at congruent ends

3. since they are all the same triangle and has just been rotated some, you can figure out that it is the same triangle. once you figure out the angles for one of the triangles, you can figure outit for the other 2 since they are all congruent.

i hope this helped :)

The chances that a student will get 7 marks out of 10 in first attempt of a certain Quiz while attempting Quiz on BlackBoard LMS is 40%. Suppose that 20 students are selected at random then find a probability that i)Exactly 12 students will get 7 marks out 10 in the Quiz. ii)Fewer than 10 students will get 7 marks out 10 in the Quiz. iii)At least 5 students will get 7 marks out 10 in the Quiz.

Answers

Answer:

i) [tex]P(X=12)=0.0355[/tex]

ii) [tex]P(X<10)=0.7553[/tex]

iii) [tex]P(X\geq 5)=0.9490[/tex]

Step-by-step explanation:

Let's start by defining the random variable ⇒

[tex]X:[/tex] '' Number of students that will get 7 marks out of 10 in first attempt of a certain Quiz while attempting Quiz on BlackBoard LMS ''

[tex]X[/tex] is a discrete random variable.

The probability of a randomly selected student getting 7 marks out of 10 is 0.4

(This is a data from the question).

Now, if we assume independence between the students while they are doing the Quiz and also we assume that this probability remains constant , we can modelate [tex]X[/tex] as a binomial random variable ⇒

[tex]X[/tex] ~ Bi (n,p)

Where ''n'' and ''p'' are the parameters of the variable.

''n'' is the number of students attempting the Quiz and ''p'' is the probability that a student will get 7 marks out of 10 which is 0.4 ⇒

[tex]X[/tex] ~ Bi (20, 0.4)  in the question.

The probability function for [tex]X[/tex] is

[tex]p_{X}(x)=P(X=x)=\left(\begin{array}{c}n&x\end{array}\right)p^{x}(1-p)^{n-x}[/tex]    (I)

Where [tex]\left(\begin{array}{c}n&x\end{array}\right)[/tex] is the combinatorial number define as

[tex]\left(\begin{array}{c}n&x\end{array}\right)=\frac{n!}{x!(n-x)!}[/tex]

Replacing the parameters in the equation (I) ⇒

[tex]P(X=x)=\left(\begin{array}{c}20&x\end{array}\right)(0.4)^{x}(0.6)^{20-x}[/tex]    (II)

For i) we need to find [tex]P(X=12)[/tex]

Then, we only need to replace by [tex]x=12[/tex] in equation (II) ⇒

[tex]P(X=12)=\left(\begin{array}{c}20&12\end{array}\right)(0.4)^{12}(0.6)^{8}=0.0355[/tex]

For ii) we need to calculate [tex]P(X<10)[/tex]

This probability is equal to ⇒ [tex]P(X<10)=P(X\leq 9)[/tex] and to calculate it we need to sum [tex]P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)[/tex]

[tex]+P(X=6)+P(X=7)+P(X=8)+P(X=9)[/tex]

We can do it summing each term or either using any program.

The result is [tex]P(X<10)=P(X\leq 9)=0.7553[/tex]

Finally for iii) we need to find  ⇒ [tex]P(X\geq 5)[/tex]

This probability is equal to ⇒ [tex]P(X\geq 5)=1-P(X\leq 4)[/tex] ⇒

[tex]1-P(X\leq 4)=1-[P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)][/tex]

Again we can find each term by using the equation (II) or either using a program. The result is [tex]P(X\geq 5)=0.9490[/tex]

WILL GIVE BRAINLIEST. Will report if answer is absurd What is the trademark of a linear table?

Answers

Answer:

You can tell if a table is linear by looking at how X and Y change. If, as X increases by 1, Y increases by a constant rate, then a table is linear. You can find the constant rate by finding the first difference.

Step-by-step explanation:

Hope this helps!

The polygons to the right are similar. Find the values of each variable! ( simplify ur answer)
Help mee please i have a headache

Answers

Answer:

hi! i'm so sorry about your headache, hope it gets better !

still need help?

Step-by-step explanation:

Other Questions
What is the purpose of having three separate branches of government and a system of checks and balances? 12 cookies for 3 students rate and unit rate In which pair do both decimals represent rational numbers?O A. 0.296 and 0.9888...B. 4.462837305718274... and 0.9888O C. 6.32891237302554... and 0.9888...D. 6.32891237302554... and 0.296 In humans, earlobes that are suspended (detached) are dominant over those that are attached. If a mother has suspended earlobes (but her mother did not) and the father has attached earlobes, what are the chances that their first child will have attached earlobes? Yukelson Company owns the building occupied by its administrative office. The office building was reflected in the accounts at the end of last year as follows: Cost when acquired $ 396,000 Accumulated depreciation (based on straight-line depreciation, an estimated life of 50 years, and a $36,000 residual value) 72,000 During January of this year, on the basis of a careful study, management decided that the total estimated useful life should be changed to 30 years (instead of 50) and the residual value reduced to $30,000 (from $36,000)). The depreciation method will not change. Required: 1. Compute the annual depreciation expense prior to the change in estimates.2. Compute the annual depreciation expense after the change in estimates.3. What will be the net effect of changing estimates on the balance sheet, net income, and cash flows for the year? Witch fraction is not in simplest form 5/15 or 5/12 Critical thinking : Place an unmagnetized piece of iron in a magnetic field (eg iron filings near a magnet). Why is it attracted to the magnet? which best describes the results of mendels work with pea plants a) he figured out the fastest way to grow pea plants. b) he showes that pea plants do not pass traits to their offspring. c) he found the basic ideas about genetics. d) he discovered the scientific method. what is the purpose of including figurative languageinto your narrative writing? Please select the word from the list that best fits the definitionprocess in which liquid turns to vapor Help me please!!REALLY FAST PLEASE I need help asap no rocky Find the mass (in grams) of 1.5 moles of BaSO4 Factors of 121 what do you think ??? describe the picture of the women slapping the manIn 6 sentences Rewrite 4x 2y = 10 in slope-intercept form. Give the slope and y-intercept.y = m = b = Why do chemical properties change? [tex](-4)(-2)-6(2-5)[/tex] use the law of exponents to rewrite (5^9)^2will give brainiest and 50 point bet u do not get it right Which equation represents a line parallel to ? A. 2x-4y=28 B. 4x+2y=10 C. 4x-2y=10 D. 2x+4y=10