How would I categorize numbers? For example, what category would √23 fit into? Thankssss

Answers

Answer 1

Answer:

  positive, real, irrational, algebraic

Step-by-step explanation:

Numbers are categorized various ways. Some categories include ...

  prime, composite

  real, complex

  integer, rational, irrational

  whole number, natural number

  positive, negative, zero

  algebraic, non-algebraic*

√23 is the positive, real, irrational root of a prime number. It is an algebraic number.

_____

* An algebraic number is a root of a polynomial with integer coefficients.

√23 is a root of x^2 -23 = 0.


Related Questions

Which expression is equivalent to the expression shown?
4² x 4⁴

Answers

Answer:

Answer: 4⁵ x 10⁴

Step-by-step explanation:

 

= 10⁴ * 4¹⁰⁻⁵

= 10⁴ * 4⁵

= 4⁵ x 10⁴

Answer:

4^6

Step-by-step explanation:

U add the exponents and keep the base the same

X2 (6x+ 1) (3x-9) = 0

Answers

Answer:

x = 0, [tex]-\frac{1}{6}[/tex], 3

Step-by-step explanation:

Hey there!

Step 1: Regroup terms.

2x(6x + 1) (3x - 9) = 0

Step 2: Solve for x.

x = 0, [tex]-\frac{1}{6}[/tex], 3

~I hope I helped you! :)~

You choose a card from a deck of 52 cards. Without replacing the card, you choose a second card. What is the probability of choosing two red cards?

Answers

Answer:

25/102

Step-by-step explanation:

P(red) = 26/52 = 1/2

P(red after red) = 25/51

1/2 * 25/51 = 25/102

[tex]4(3x-2)=16[/tex]

Answers

Answer:

x=2

Step-by-step explanation:

12x-8=16

12x=24

x=2

x=2

4(3x-2)=16
-> 3x-2=4 —> 3x=4+2 —> 3x+6 —> x=2

Which values represent solutions to Cosine (StartFraction pi Over 4 EndFraction minus x) = StartFraction StartRoot 2 EndRoot Over 2 EndFraction sine x, where x Is an element of [0, 2Pi)?

Left-brace 0, pi right-brace
Left-brace 0, StartFraction 3 pi Over 2 EndFraction right-brace
Left-brace StartFraction pi Over 2 EndFraction, StartFraction 3 pi Over 2 EndFraction right-brace
Left-brace pi, StartFraction 3 pi Over 2 EndFraction

Answers

Answer:

C.

Step-by-step explanation:

got it right on edge :)

The given trig function consist of trig values of common angles;

The values that represent the solution to [tex]\mathbf{cos \left(\dfrac{\pi}{4} - x\right)} = \dfrac{\sqrt{2} }{2} \cdot sin \, x[/tex], x ∈ [0, 2·π) are;

[tex]x = \left\{\dfrac{\pi}{2} , \, or \ \dfrac{3 \cdot \pi}{2} \right \}[/tex]

Reason:

The given function is presented as follows;

[tex]cos \left(\dfrac{\pi}{4} - x\right) = \dfrac{\sqrt{2} }{2} \cdot sin \, x[/tex]

Where;

x ∈ [0, 2·π)

We have;

cos(A - B) = cos(A)·cos(B) - sin(A)·sin(B)

[tex]cos \left(\dfrac{\pi}{4} \right) = \dfrac{\sqrt{2} }{2}, \ sin\left(\dfrac{\pi}{4} \right) = \dfrac{\sqrt{2} }{2}[/tex]

Which gives

[tex]cos \left(\dfrac{\pi}{4} - x\right) =\dfrac{\sqrt{2} }{2} \cdot cos \, x + \dfrac{\sqrt{2} }{2} \cdot sin \, x[/tex]

Therefore, we get;

[tex]\dfrac{\sqrt{2} }{2} \cdot cos \, x = \dfrac{\sqrt{2} }{2} \cdot sin \, x - \dfrac{\sqrt{2} }{2} \cdot sin \, x = 0[/tex]

cos x = 0

[tex]cos \left(\dfrac{\pi}{2} \right) = 0[/tex]

Therefore;

The possible solutions (x-values) to cos x = 0 are; [tex]0 \leq \dfrac{n \cdot \pi}{2} \leq 2 \cdot \pi[/tex]

Where;

n = 1, 3, 5, ...

x ∈ [0, 2·π)

We get;

[tex]x = \left\{\dfrac{\pi}{2} , \, or \ \dfrac{3 \cdot \pi}{2} \right \}[/tex]

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Which graph could represent y, the amount owed on a car loan, as regular payments are made each month, x? A graph shows the number of car payments paid on the horizontal axis and amount owed on the vertical axis. The line goes straight up from the x-axis. A graph shows the number of car payments paid on the horizontal axis and the amount owed on the vertical axis. The line starts high on the vertical axis and decreases as it goes along the horizontal axis. A graph shows the number of car payments paid on the horizontal axis and the amount owed on the vertical axis. The line starts in the middle on the vertical axis and increases as it goes along the horizontal axis.

Answers

Answer:

its fliping b

Step-by-step explanation:

too on edge

Which table has a constant of proportionality between y and x of 1/5?

Answers

Answer:

5

Step-by-step explanation:

I think The answer is 5 :)

The picture attached has the question! Please hurry!

Answers

C.
at (0,1) it’s crossing the y axis making it the y-intercept

Answer: C

The line crosses 1 on the y-axis which mean the equation is y = 0.3x + 1

i need help with
If x = 5, find the value of LaTeX: 16-x16 − x

Answers

Answer:

-69

Step-by-step explanation:

16-(5)(16)-(5)

16x5=80

16-80-5

16-80=-64

-64-5=-69

R={(x,y)} y=2x:x€{1,2,3}​

Answers

Answer:

Question is wrong dear

what's the answer to 2x^2 x= 10

Answers

Answer:

1

Step-by-step explanation:

If DG = 10, what is the value of x?
X + 1
2x -15
0
G
0 A 12
OB. 8
O C.
4
cole
O D. 14

Answers

Answer:

[tex]x = 8[/tex]

Step-by-step explanation:

Given:

[tex]DG = 10[/tex]

See attachment for complete question.

From the attachment, we can conclude that:

[tex]x + 1 + 2x - 15 = DG[/tex]

Substitute 10 for DG

[tex]x + 1 + 2x - 15 = 10[/tex]

Collect Like Terms

[tex]x + 2x = 10 + 15 - 1[/tex]

[tex]3x = 24[/tex]

Solve for x

[tex]x = 24/3[/tex]

[tex]x = 8[/tex]

How do I do this?

Give the algebraic expression for each of the following:
The sum of 20 and a number, m

Answers

Answer:

The sum of 20 and a number,m = 20+m

The planet Earth is approximately 149.6 million kilometers from the sun. The planet Jupiter is about 5.2 times farther away from the sun than Earth is. What is the approximate distance between Jupiter and the sun?

15.472 million kilometers
77.792 million kilometers
154.72 million kilometers
777.92 million kilometers

Answers

Answer:

the answer is 777.92 million kilometers

Step-by-step explanation:

The distance between Jupiter and Sun is 777.92 million km

What is distance?

Distance is defined to be the magnitude or size of displacement between two positions.

Given that the distance between Earth and Sun is 149.6 million km and Jupiter is about 5.2 times farther away from the Sun than Earth is,

Therefore, distance between Sun and Jupiter is = 149.6 × 5.2 = 777.92 million km

Hence, the distance between Jupiter and Sun is 777.92 million km

For more references on distance, click;

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Anyone have this answer? (Do not mind that there is one selected already lol.)

Answers

Answer:

6 Buckets

Step-by-step explanation:

30-12 =18

18 divided by 3 = 6

Answer:

6

Step-by-step explanation:

30-12=18

18/3=6

You are correct! It's 6 buckets :)

At the San Diego zoo you can either pay $22.75 for the entrance fee or $71 for the yearly pass which entitles you to unlimited admission. At most how many times can you enter the zoo for the $22.75 entrance fee before spending more than the cost of a yearly membership? Write and solve an inequality

Answers

Answer:

3

Step-by-step explanation:

3x22.75=68.25 or less than the yearly pass

Will give brainliest whoever answers asap plz it’s.active please
Hurrreyyyy

Answers

1.A
2.B
i think not for sure
1. Factor the first equation.

7x³−11x²−14x+16

7x³−14x²+3x²−6x−8x+16

7x²(x-2)+3x(x-2)-8(x-2)

(x-2)(7x²+3x-8)

2. So this is as far as we have to go because as we can see x-2 is a factor of the equation.

3. Factor the second equation.

7x⁴+22x³+2x²+11

4. As we can see this equation isn’t factorable, so which means that this equation can’t have an exact root so which means x+3 is not a factor for the second equation.

Final answer:
1. B
2.A

A trail runner gets a new map of her favorite mountain. • Her old map has a scale of 1 cm to 100 m. • Her new map has a scale of 1 cm to 500 m. She ran a trail that was 40 cm long on her old map. How long is this trail on her new map?

PLEASE ANSWER

Answers

Answer:

The trail on her new map is 8 cm

Step-by-step explanation:

Here, we are interested in knowing the the length of the trail on the new map.

The scale on her old map is 1 cm represents 100 m

While her new map has a scale of 1 cm to 500 m

Now, running a trail of 40 cm on her old map, we need to get the actual distance.

The actual distance will be 40 * 100 = 4,000 m

Now, we shall convert this to the new map scale

We simply convert this to cm in the new map scale by dividing the 4,000 m by 500 m

That would be 4,000/500 = 8 cm

So the trail on her new map is 8 cm

Answer:

The actual distance will be 40 * 100 = 4,000 m

Step-by-step explanation: Now we have to convert the new scale map by dividing the 4,000 m by 500 m so that would be 4,000/500 = 8 cm

Which line represents the linear equation
-3y = 15 - 4x?
The equation -3y = 15 - 4x rewritten in slope-intercept
form is
The y-intercept is v and the slope of the line is
Line
is the graph of the line -3y = 15 - 4x.

Answers

Answer:

The equation –3y = 15 – 4x rewritten in slope-intercept form is  

✔ y = (4/3)x – 5

.

The y-intercept is  

✔ –5

and the slope of the line is  

✔ 4/3

.

Line  

✔ B

is the graph of the line –3y = 15 – 4x.

Line B represents the given linear equation [tex]-3y =15 -4x.[/tex]

Slope intercept form is [tex]y = \frac{4}{3}x-5[/tex]

y-intercept is -5.

Slope of the line is [tex]\frac{4}{3}[/tex].

What is linear equation?

" Linear equation is defined as the algebraic expression whose highest exponent of the variable is 1."

Formula used

Slope = [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

Slope intercept form y=mx +c

c = y-intercept

m = slope

According to the question,

Given linear equation,

[tex]-3y = 15-4x[/tex]

Convert the given linear equation in slope intercept form we get,

[tex]y = \frac{4}{3}x-5[/tex]

Compare it with the formula we get,

Slope 'm' = [tex]\frac{4}{3}[/tex]

y-intercept = -5

From the diagram we can have coordinates of line B

[tex]( x_{1} ,y_{1} )= (3,-1)\\\\( x_{2} ,y_{2} )= (0,-5)[/tex]

Substitute the value to get slope of line B,

Slope of line 'B' = [tex]\frac{(-5-(-1))}{0-3}[/tex]

                            [tex]= \frac{-4}{-3} \\\\=\frac{4}{3}[/tex]

From the diagram y-intercept for line B is -5.

Equation of line B

[tex]y = \frac{4}{3}x-5[/tex]

Hence,  slope intercept form is [tex]y = \frac{4}{3}x-5[/tex]. Line B represents the given equation with y-intercept is -5 , Slope of the line is [tex]\frac{4}{3}[/tex].

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The weight of one serving of skittles is 1.5 ounces. How much will 22.5 servings weigh?

Answers

Answer:

33.75 ounces

hope this helps

what's 9 + 10 ??? please help

Answers

Answer:

19

Step-by-step explanation:

Answer:19

Step-by-step explanation:

17. The distance traveled at a constant speed varies
directly with the amount of time traveled. Sara
drove 200 miles at a constant speed of 50 mi/hr.
Holly drove for the same amount of time as Sara
but at a constant speed of 65 mi/hr. Find the
distance traveled by Holly. Justify your answer.
Hurry plz

Answers

Answer:

260 miles

Step-by-step explanation:

Sara made it to her destination in four hours, while Holly made it to her destination traveling 260 miles. This can be calculated by taking Sara's 200 miles, and dividing it by 50 mph to get a total of four hours spent driving. If Holly is also driving for four hours, but instead traveling at 65 mph, you can take 65 and multiply it by four hours to get a total of 260 miles. Hope this helps!

which is bigger 7/9 or 5/6​

Answers

Answer:

5/6

Step-by-step explanation:

7/9 and 5/6 can have the same denominator of 54. Now, you can look only at the numerators, 42 and 45. 45 is greater, so 5/6 is greater than 7/9

5/6 is greater than 7/9

What is a fraction?

A common fraction is a numeral which represents a rational number. For example 2/3

Given here, 7/9 and  5/6 now 7/9 = 0.777 and 5/6= 0.833

Thus clearly 5/6 >7/9

Hence, 5/6 is greater than 7/9

Learn more about fractions here:

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Which expression is equivalent to 7(3x+5) *
A: 10x+12
B: 3x+35
C: 21x+5
D: 21x+35

Answers

D: 21x+35


Please make me the Brainliest!!

PLEASE HELP ASAP BRAINLIEST

Answers

Area is Length x width.

Area = 4x * 5

Area = 20x

Replace A in the inequality:

Now you have 100 <= 20x <= 1,000

Now solve for x by dividing all 3 by 20:

5 <= x <=50

Check to see if they are viable:

4(5) x 5 = 20 x 5 = 100

4(50) x 5 = 200 x 5 = 1,000

Since the lowest number equals 100 and the largest number equals 1,000 all values of x would be viable. The answer is YES.

What is the value of 6(2b-4) when b=5?

Answers

Answer:

36

Step-by-step explanation:

6(2(5)-4)

6(10-4)

6(6)

=36

You plug in the variable value, then solve :)

Answer:

The value of 6(2b-4) when b=5 is 36.

Step-by-step explanation:

Why does the government charge high taxes on gasoline?

Answers

Answer:

Every time you top off your vehicle at the pump, you're paying federal and state gas taxes that are included in the price of every gallon of gasoline. The federal tax, at 18.4 cents per gallon, is meant to help the federal government pay to build and fix things like highways and bridges.

Step-by-step explanation:

Mark me brainliest

Answer: These taxes are meant to do two things — raise money to pay for infrastructure and reflect some of the environmental costs of driving. Unlike most taxes, gas taxes are charged as a flat charge per liter, rather than as a percentage of the pump price.

3y + 6 - y
Please help me

Answers

Answer:

2y+6

Step-by-step explanation:

3y+6-y

2y+6

Answer:

2y+6

Step-by-step explanation:

If you are simplifying, combine like terms

3y-y=2y

b) In the diagram below, two lines are drawn. Explain how you could determine the values
of b, c, and d, using at least two of the following terms: linear pair, vertical angles,
congruent, & supplementary. ( 3 points)
b
U
40°
d

Answers

Answer/Step-by-step explanation:

When twi straight lines intersect, they form 2 pairs of opposite vertical angles that are congruent.

In the diagram given, the following pairs of vertical angles are formed:

<c and 40°

<b and <d

<c = 40° (vertical angles are congruent)

<b and 40° are linear pairs. They are both supplementary. Therefore:

<b = 180° - 40

<b = 140°

<d = <b (vertical angles)

<d = 140° (substitution)

Make a Math expression for each of these
$50 per day and $0.25 a mile
$40 per day and $0.30 a mile

Answers

50p + 0.25a
50p+ 0.25a
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