how do we know a given number in the radical is whether rational or irrational​

Answers

Answer 1

number is described as rational if it can be written as a fraction (one integer divided by another integer). A number is irrational if it cannot be written as a fraction. The decimal form of an irrational number does not terminate or recur.


Related Questions

help me with this math question

Answers

Answer: A. In 2015 there will be more seagulls than chickadees.

Step-by-step explanation: if you look at the chart you can see the seagull population keeps growing and the chickadee population keeps decreasing.

Scarlett tried to shade all the factors of 15 on the hundred chart.What mistake did Scarlett make? A.Scarlett shaded the factors of 5 instead of the factors of 15. B.Scarlett did not make a mistake. C.Scarlett shaded the multiples instead of the factors of 15. D.Scarlett shaded 15, but factors are always less than the number.

Answers

Answer:

C. Scarlett shaded the multiples instead of the factors of 15

Step-by-step explanation:

Scarlett tried to shade all the factors of 15 on the hundred chart 15,45,75,30,60,90 What mistake did she make

She shaded 15,45,75,30,60,90 on the chart

Factors of 15 are 1, 3, 5 and 15

15, 45, 75, 30, 60, 90 are multiples of 15

That is,

15 × 1 = 15

15 × 3 = 45

15 × 5 = 75

15 × 2 = 30

15 × 4 = 60

15 × 6 = 90

Therefore Scarlett's mistake is:

C. Scarlett shaded the multiples instead of the factors of 15

Which rate is equivalent to $800 per 40 hours?

Answers

$800 per 40 hours can be expressed as a fraction as 800/40. We can find the unit rate by dividing the numerator and denominator by 40. 800/40 is 20, and 40/40 is 1. This means that the unit rate is $20 per hour.

Can someone help me with this math homework please!

Answers

Answer:

It's 2, 1, and y = 2x + 1.

Step-by-step explanation:

You can see the rise is 2 and the run is 1, making the slope = 2, and the y-intercept is 1 because that is where it crosses the y axis. Once you have the slope and y intercept, you can put it in a function, with the form being y=2x+1, the slope being the number before the x and the y-int value being after the x.

Answer:

1.  2

2. 1

3. y = 2x+1

Step-by-step explanation:

1. [tex]\frac{rise}{run}[/tex]

2. Where does the line cross the y-axis?

3. y = mx+b

m= slope

b = y-intercept

Assume that the radius of the hydrogen nucleus is 1.4 · 10-15 meters. How much larger than the nucleus is the entire hydrogen atom? (Calculate the atomic radius for n = 1. Round answer to nearest tenth.)

________times larger than the nucleus.

(A). 3.8 x 10⁴
(B). 3.8 x 10¹⁴
(C). 3.8 x 10^-5

(15 points reward)

Answers

Answer:

A

Step-by-step explanation:

I did not look up the actual numbers, but it can only be A.

of course, the whole aim is larger than the nucleus, which is why C is impossible with its negative exponent (which would make the whole aim smaller than the nucleus).

and B. can't be true, because it is so big 10¹⁴ times bigger than a 10-¹⁵ atom ? this would make the whole atom the size of about 10-¹ meters. so, 10 cm. a single hydrogen atom would be bigger than a tennis ball. which it isn't.

so, that only leaves A.

In the given figure AOB is a straight line find the value of x.
Please tell the correct answer..​

Answers

Answer:

2x+5x+3x=180°

10x=180°

x=180/10

x=18° ans..

Answer:

18

Step-by-step explanation:

Sum of angles in a straight line is 180,

2x + 5x + 3x = 180

10x = 180

x = 180 / 10

x = 18

Parallelogram PARL is similar to parallelogram WXYZ. If AP = 18, PL = 24, and WZ = 96, find the value of c.
A. 4
B.96
C.42
D.72
somebody can help me

Answers

Answer: c = 72

Step-by-step explanation:

You didn't tell us which segment has a length of c, but I'm assuming you meant WX because it corresponds to PA. If two figures are similar, we know that their side length are in proportion. With this, we can set up our proportion[tex]\frac{18}{24} =\frac{c}{96}[/tex] where c is the length of WX. By cross multiplying and dividing, you get  72 for the value of c.

A random sample of 13 teenagers were surveyed for a hypothesis test about the mean weekly amount spent on convenience goods. Researchers conduct a one-mean hypothesis test, at the 1% significance level, to test whether the average spent per week on convenience goods is greater than 50 dollars.

Answers

Answer:

Please find the complete question and the graph in the attached file.

Step-by-step explanation:

On the basis of the data,

The level of importance is [tex]\alpha = 0.01[/tex]

Freedom levels [tex]= n -1 = 13 -1 = 12[/tex]

For the right-tailed test, the critical value is [tex]t_c = 2.681[/tex]

(Partially t-table permitted [tex]\alpha = 0.01 \ and\ df =12[/tex])

llahkdaclicka. ima answer this

Answers

Answer:

?

Step-by-step explanation:

Answer: Okay………………????????

What is the x-intercept of the line with equation 3y - 8x = 10? Represent your answer as a point in (x, y) form.
The solution is

Answers

Answer:

(-1.25, 0) or (-5/4, 0)

Step-by-step explanation:

The x-intercept is when y = 0, so let's plug 0 into the equation:

3(0) - 8x = 10

Now we use basic algebra to solve for x:

0 - 8x = 10

-8x = 10

x = -5/4 or -1.25

So the answer is (-1.25, 0) or (-5/4, 0).

Hope this helps (●'◡'●)

this is a geometry question, i need something quickly :)

Answers

Answer:

hope it helps mark me brainlieast!

Step-by-step explanation:

For triangle ABC with sides  a,b,c  labeled in the usual way,

c2=a2+b2−2abcosC  

We can easily solve for angle  C .

2abcosC=a2+b2−c2  

cosC=a2+b2−c22ab  

C=arccosa2+b2−c22ab  

That’s the formula for getting the angle of a triangle from its sides.

The Law of Cosines has no exceptions and ambiguities, unlike many other trig formulas. Each possible value for a cosine maps uniquely to a triangle angle, and vice versa, a true bijection between cosines and triangle angles. Increasing cosines corresponds to smaller angles.

−1≤cosC≤1  

0∘≤C≤180∘  

We needed to include the degenerate triangle angles,  0∘  and  180∘,  among the triangle angles to capture the full range of the cosine. Degenerate triangles aren’t triangles, but they do correspond to a valid configuration of three points, namely three collinear points.

The Law of Cosines, together with  sin2θ+cos2θ=1 , is all we need to derive most of trigonometry.  C=90∘  gives the Pythagorean Theorem;  C=0  and  C=180∘  give the foundational but often unnamed Segment Addition Theorem, and the Law of Sines is in there as well, which I’ll leave for you to find, just a few steps from  cosC=  … above. (Hint: the Law of Cosines applies to all three angles in a triangle.)

The Triangle Angle Sum Theorem,  A+B+C=180∘ , is a bit hard to tease out. Substituting the Law of Sines into the Law of Cosines we get the very cool

2sinAsinBcosC=sin2A+sin2B−sin2C  

Showing that’s the same as  A+B+C=180∘  is a challenge I’ll leave for you.

In Rational Trigonometry instead of angle we use spreads, squared sines, and the squared form of the formula we just found is the Triple Spread Formula,

4sin2Asin2B(1−sin2C)=(sin2A+sin2B−sin2C)2  

true precisely when  ±A±B±C=180∘k , integer  k,  for some  k  and combination of signs.

This is written in RT in an inverted notation, for triangle  abc  with vertices little  a,b,c  which we conflate with spreads  a,b,c,  

(a+b−c)2=4ab(1−c)  

Very tidy. It’s an often challenging third degree equation to find the spreads corresponding to angles that add to  180∘  or zero, but it’s a whole lot cleaner than the trip through the transcendental tunnel and back, which almost inevitably forces approximation.

25)
Jackson's current salary is $36,000 per year. Each year his salary is 1.04 times the previous yeal's salary. What
will his salary be in his 5th year?
OA) $42,214.92
OB) $42,114.91

Answers

Answer:

$43,799.50

Step-by-step explanation:

USing the formula:

A = P(1+r)ⁿ

n is the time = 5

1 + r = 1.04

P = 36,000

Substitute the values into the formula

A = 36000(1.04)⁵

A = 36,000(1.2166529024)

A = 43,799.50

Hence the value in the fifth year will e $43,799.50

help me plz i will give you brainlist plzzzzz i beg you​

Answers

Answer:

Solution given:

[tex]\bold{4*3^{x+1}-9^{x}=27}[/tex]

let 3^xbe a

4*a*3-a²=27

a²-12a+27=0

a²-9a-3a+27=0

a(a-9)-3(a-9)=0

(a-9)(a-3)=0

either

a=9

3^x=3²

:.x=2

or

a=3

3^x=3^1

x=1

x=2,1

if 2[tex]\frac{1}{3}[/tex] : 4 [tex]\frac{1}{3}[/tex] , then 7 : ___


A: 12 B: 13 C: 8[tex]\frac{2}{3}[/tex] D: 6[tex]\frac{1}{3}[/tex]


temsuyanger, I don't want your BS answer

Answers

[tex] \\ \tt \longmapsto 2 \frac{1}{3} \div 4\frac{1}{3} = \frac{7}{x} \\ \\ \tt \longmapsto \frac{7}{3} \div \frac{13}{3} = \frac{7}{x} \\ \\ \tt \longmapsto \frac{7}{3} \times \frac{3}{13} = \frac{7}{x} \\ \\ \tt \longmapsto \frac{7}{13} = \frac{7}{x} \\ \\ \tt \longmapsto 7x = 7 \times 13 \\ \\ \tt \longmapsto 7x = 91 \\ \\ \tt \longmapsto x = \frac{91}{7} \\ \\ \tt \longmapsto x = 13[/tex]

Answer:

[tex]x = 13[/tex]

Step-by-step explanation:

[tex] \frac{2 \frac{1}{3} }{4 \frac{1}{3} } = \frac{7}{x} \\ \frac{7}{3} \div \frac{13}{3} = \frac{7}{x} \\ \frac{7}{ 3} \times \frac{3}{13} = \frac{7}{x} \\ \frac{7}{13} = \frac{7}{x} \\ 7x = 13 \times 7 \\ x = \frac{13 \times 7}{7} \\ x = 13[/tex]

Match the expression to its value.​

Answers

Answer:

1       a

2      b

3      c

4      d

Step-by-step explanation:

1b

2d

3c

4a

Answer:

10(4) > 10,000

10-(4) > 0.0001

10(4)/10(2) > 0.000001

10-(4) * 10(2) > 1/10(4) 0.01

Step-by-step explanation:

hello can someone please help me this question? I don't quite understand it​

Answers

Answer:

Equation: y=45x+1000

A. $45

B. 1,000

C. y=45x+1000-->Independent=1,000-->Dependent=45

D. y=45(20)+1,000=1,900

E. 30 weeks

Step-by-step explanation:

To solve step "E", you must set up an equation.

Specifically--> 45x+1,000=2350, then solve

45x=1350

x=30

Find the lettered angles in each of the following.
( where a point o is given , it is the centre of the circle) .​

Answers

Answer:

q = 80 degrees

r = 70 degrees

s = 10 degrees

t = 70 degrees

u = 40 degrees

v = 60 degrees

Step-by-step explanation:

starting with the fact that all angles in any triangle always sum up to 180 degrees :

q = 180 - 60 - 40 = 80 degrees

r = 180 - (60+10) - 40 = 180 - 70 - 40 = 70 degrees

the triangle 40-60-q and v-u-blank are similar triangles. your can say the smaller triangle is just a projection of the large triangle through the focal point at angle q.

that means the angles must be equal.

v = 60 degrees

u = 40 degrees

similar for 10-r-blank and t-s-blank.

s = 10 degrees

t = 70 degrees

u=60°

v=40°

q=80°

r=70°

s=70°

t=10°

Answer:

Solution given:

t=10°[inscribed angle on a same chord or arc is equal]

V=40°[inscribed angle on a same chord or arc is equal]

u=60°[inscribed angle on a same chord or arc is equal]

AGAIN;

40+60+10+r=180°[sum of interior angle of triangle]

r+110°=180°

r=180°-110°

r=70°

again

r=s=70°[inscribed angle on a same chord or arc is equal]

again

q=r+10°[exterior angle is equal to the sum of two opposite interior angle]

q=70+10=80°

Please I need help with this its being timed!!

Answers

Answer:

The first one

Step-by-step explanation:

Solve for x.
x – 42 = 98 – 9x
X = [?]

Answers

Answer:

x = 14

Step-by-step explanation:

x - 42 = 98 - 9x

+42      +42

x = 140 - 9x

+9x       +9x

10x = 140

/10     /10

x = 14

X=14 because if you solve it you get x=14 trust me on it

Help me plss I’m lost ☺️❤️

Answers

Answer:

there is only one way to to roll a 3

1/36 = .044 = 4.4%

Step-by-step explanation:

4.4?
I hope that works if not sorry.

rfan exited his apartment building and walked 20 blocks west. He then walked an additional 5 blocks west. What must he do to return to his apartment building?

Answers

Answer: If he walked 20 blocks west straight from his exited appartment, then added an additional 5 blocks to the west, he would have walked a total of 25 blocks and to return to his appartment must walk 25 blocks straight back from where he cam from to return back to his appartment.

Step-by-step explanation:

WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!

Answers

Answer:

Q3. Last option Q4. 3rd option

Step-by-step explanation:

s^2 = 9.8^2+5.1^2-2(9.8)(5.1)cos39

s^2=44.366489...

s=6.7

Help please someonee !!!
A bank pays interest of 9% on money in deposit accounts. Mrs. Wells puts $2000 in the bank. Calculate how much she has after:
a). 1year
b). 3 years
c). 5 years

Answers

Answer:

first year

$2180

Step-by-step explanation:

9% of $2000 =$180

$2000+$180

Step-by-step explanation:

1year $2180. so the ans is send me I'd and password of zoom Answer of ur Question bro

what is the area of the triangle formed from (-2,2), (1,2) and (0,-6)

Answers

Answer:

I think it's 12

Step-by-step explanation:

Hope it helps!

Angles of triangle are in the ratio of 23:5. What is the Size of the smallest angle?​

Answers

Answer:

ratio 2 : 3 : 5

size of smallest angle

[tex]180 \times \frac{2}{10} \\ = 36[/tex]

Answer:

The smallest angle of a triangle is 36°.

Step-by-step explanation:

Given, the ratio of angles of a triangle is 2 : 3 : 5

Let the angles of a triangle be ∠A, ∠B and ∠C.

∠A = 2x, ∠B = 3x, ∠C = 5x

∠A+∠B + ∠C= 180°

[sum of all the angles of a triangle is 180°]

2x + 3x + 5x = 180°

10x = 180°

x=180°/10 =18°

∠A=2x=2 x 18° = 36°

∠B = 3x = 3 x 18° = 54°

∠C = 5x = 5 x 18° = 90°

Hence, the smallest angle of a triangle is 36°.

HOPE IT HELPS!!!

Find the general term of the ap whose 7th term is -1 and 16th term is 17? (pls Hurry up I will mark you Brainliest and don't reply in a silly way or I'll report you) ​

Answers

Answer:

The answer is -13.

Step-by-step explanation:

The formula of the nth term of an AP(arthimetic progression) is a+(n-1)d.

So the 7th term will be a+6d= -1  ---(1)

The 16th term will a+15d=17  ---(2)

Subtract (2) and (1)

a+15d-(a+6d)=17-(-1)

=a+15d-a-6d=17+1

9d=18

d=18/9

d=2.

Substitute d in eq (1)

a+6(2)= -1

a+12=-1

a= -1-12= -13

Thus the general term of the ap is -13

If a real estate agent receives 17 percent of the selling price of each house he sells, then what would the agent make if the house sells for $180,000?

Answers

Answer:

$30600

Step-by-step explanation:

The selling price is $180,000

The commission rate is 17% of this

(17/100) * 180000 = 30600

The answer is 30600, Sell price is 180000 the Commission rate is 17% so just do .17 x 180000=30600

10 fracciones que generen decimales exactos 10 fracciones que generen decimales inexactos puros y 10 fraccionarios que generen decimales periódicos mixtos

Answers

Answer:

Un número decimal exacto es algo de la forma:

3.27

Para reescribir este número como una fracción, podemos ver que tiene dos dígitos luego del punto.

Entonces podemos multiplicar y dividir por 100 (misma cantidad de ceros que dígitos luego del punto decimal)

así obtenemos:

3.27*(100)/(100) = 327/100

Entonces la fracción 327/100 genera un decimal exacto.

Así, encontrar 10 fracciones es trivial, 10 ejemplos son:

7/10 = 0.7

314/100 = 3.14

27/10 = 2.7

27/100 = 0.27

2/10 = 0.2

25/100 = 0.25

31/10 = 3.1

12/10 = 6/5 = 1.2

131/10 = 13.1

142/100 = 1.42

Ahora, un decimal inexacto puro es algo de la forma:

3.33...

donde el 3 se repite infinitamente.

Tratemos de reescribir este número como una fracción:

primero debemos ver la cantidad de dígitos que se repiten, en este caso es uno solo, el 3, entonces multiplicamos por 10:

3.33*10 = 33.33...

Ahora, podemos restar el numero original:

33.333... - 3.333... = 30

Entonces tenemos que:

3.33*9 = 30

3.33 = 30/9

La fracción:

30/9 nos da in decimal inexacto puro.

Ahora que sabemos construirlas, 10 ejemplos pueden ser:

30/9 = 3.33....

1/3 = 0.33...

40/9 = 4.44...

50/9 = 5.55...

60/9 = 6.66...

70/9 = 7.77...

20/9 = 2.22...

55/9 = 6.11...

544/99 = 5.5959...

10/9 = 1.11...

Finalmente, un periódico mixto es algo de la forma:

1.2343434...

Es decir, el 34 se repite infinitamente, pero también tenemos un 2 luego del punto decimal, por lo que este número no es puramente periódico.

Para construirlos, podemos tomar una fracción exacta, como

1.1 y una periódica, como 1.11...

Si las sumamos, obtenemos:

1.1 + 1.11... = 2.211...

donde el uno se repetirá infinitamente.

Así, simplemente sumando las fracciones del primer caso con las del segundo, obtendremos decimales periódicos mixtos, por ejemplo:

7/10 + 55/9 = 613/90 = 0.7 +  6.11... = 6.8111....

7/10 +  10/9 = 163/90 = 0.7 + 1.11... = 1.811....

31/10 + 10/9 = 379/90 = 3.1 + 1.11... = 4.2111...

31/10 + 20/9 = 479/90 = 3.1 + 2.22... = 5.322...

31/10 + 30/9 = 579/90 = 3.1 + 3.33... = 6.4333...

27/10 + 20/9 =  443/90 = 2.7 + 2.22... = 4.922...

37/10 + 20/9 =  533/90 = 3.7 + 2.22... = 5.922...

4/10 +  10/9 = 136/90 = 0.4 + 1.11... = 1.511....

3/100 + 10/9 = 1027/900 = 0.03 + 1.11... = 1.14111...

4/10 +  20/9 = 236/90 = 0.4 + 2.22... = 2.622....

What is the value of the expression below when 4x=4? 2
x
2
+
x

5
2x
2
+x−5
Plzzz help!!

Answers

Answer:

I dont understand the problem because of the way its written out but I believe that the value of x itself is 1.

x=1

Step-by-step explanation:

1 x 4 = 4

(hope it helps a bit)

4. If 2 Cos A-1 = 0, then the value acute value A is​

Answers

Answer:

[tex]A=60^{\circ}[/tex]

Step-by-step explanation:

Given [tex]2\cos A-1=0[/tex],

Add 1 to both sides:

[tex]2\cos A=1[/tex]

Divide both sides by 2:

[tex]\cos A=\frac{1}{2}[/tex]

Take the inverse cosine of each side (note that the question stipulates that A is acute):

[tex]\arccos(\cos A)=\arccos(\frac{1}{2})[/tex]

[tex]A=\arccos(\frac{1}{2}), A\in (0^{\circ}, 90^{\circ}),\\A=\boxed{60^{\circ}}[/tex]

A= 60






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