Hey i had previously if -20.33 was rational or irrational , i didn’t get an answer could someone please let me know ?

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

-20.33 is rational. It has a terminating decimal.

Terminating and repeating decimals are rational. Decimals that are never ending and does not have a repeating pattern of decimals are irrational.

-20.33 = [tex]-20\frac{33}{100}[/tex]


Related Questions

Which equation could be used to calculate the sum of the geometric series?

One-third + two-ninths + StartFraction 4 Over 27 EndFraction + StartFraction 8 Over 81 EndFraction + StartFraction 16 Over 243 EndFraction

Answers

Answer:

A

Step-by-step explanation:

edge 2020

Answer:

its A

Step-by-step explanation:

State if each sequence is geometric
1, -3, 9, -27
A)Yes
B)No

Answers

Answer:

Yes

Step-by-step explanation:

since it is being multiplied by -3 each time its geometric

please help! i do not understand

Answers

Answer:

90%

Step-by-step explanation:

Complimentary means the same. And adding them together would equal 90. Just as you would divide 90 by 3, each individual angle would be equal to 30.

correct answer is C). 90%

The family size bottle of shampoo holds 10 fluid ounces (fl. oz.) of sunscreen. The regular bottle holds 70% percent less. How many fluid ounces does the regular bottle of shampoo hold?

Answers

Answer: 3 fluid ounces

Step-by-step explanation:

The family size bottle of shampoo holds 10 fluid ounces of sunscreen while the regular bottle holds 70% percent less.

To get the fluid ounces the regular bottle of shampoo will hold, we find 70% of 10 fluid ounces and them subtract from 10 fluid ounces. This will be: = 70% of 10 ounces

= 7/10 × 10

= 7 fluid ounces.

Since the regular holds 70% less, week subtract 7 fluid ounces from 10 fluid ounces. This will be:

= 10 ounces - 7 ounces

= 3 ounces.

The regular bottle of shampoo holds 3 fluid ounces.

A salad recipe calls for 1 cups of chopped tomatoes. The recipe calls for 4 times as many cups of lettuce as tomatoes. How many cups of lettuce do you need for this recipe?

Answers

Answer:

You need 4 cups.

Step-by-step explanation:

If you have 1 cup of tomatoes, and you need 4 times the amount of lettuce, you multiply 1 times 4. Giving you 4 cups of lettuce.

Which statement is true about a line that contains the point ሺ2, 7ሻ and has a slope of 0.5?

A The line will also contain the point ሺ4, 6ሻ.
B The line will have a y-intercept of 6.
C The line will contain points whose y-coordinate will decrease in value as you move to the right
D none of the above

Answers

Answer:

I think it is C) The line will contain points whose y-coordinate will decrease in value as you move to the right

Step-by-step explanation:

HOPE THIS HELPS

6 radians is the same as____
Round to the nearest hundredth of a degree.

Answers

Answer:

343.77

Step-by-step explanation:

1 radian is about 57.2958 degrees

so 57 times 6 is about 343.77

343.77 is your answer

a line passes through (2,-6) and had a slope of 5/2. Write an equation in slope-intercept form for this line.

Answers

Answer:

work is shown and pictured

A mirror should be centered on a wall the mirror is 4 feet wide in the wall is 20 Feet wide what equation helps determine the distance X on each side of the mirror

Answers

Answer:

A)x + 4 + x = 20

Step-by-step explanation:

Complete question:

Which equation helps determine the distance x on each side of the mirror?

A. x + 4 + x = 20

B. 4 + x + 4 = 20

C. x = 20 + 4 + 4

D. 4 = 20 + x + x

SOLUTION:

As given,The mirror is 4 feet wide and the wall is 20 feet wide.

The distance 'x' on each side of the mirror is x + x

4 feet wide + x + x = 20 feet wide

The mirror 4 feet wide + the distance x on each side of the mirror = the wall is 20 feet wide

Therefore, the correct option is A

Hunter earned a grade of 5% on his multiple-choice math final that had a total of 60 problems. How many problems on the final exam did Hunter answer correctly?

Answers

Answer:

3

Step-by-step explanation:

From the information given in the statement, you can find the number of problems that Hunter answered correctly by calculating the 5% of 60. This because 5% is the grade that he got which means that he only had 5% of his answers correctly and 60 is the total number of problems:

60*5%= 3

According to this, Hunter answered correctly 3 problems on the final exam.

Solve the system of inequalities and indicate all the integers which are in the solution set:
[tex]\left \{ {{3-2a\ \textless \ 13} \atop {5a\ \textless \ 17}} \right.[/tex]

Answers

Answer:

-5 < a < 3.4

Step-by-step explanation:

3 - 2a < 13

3 - 13 < 2a

2a > -10

a > -5

5a < 17

a < 3.4

Solution:

-5 < a < 3.4

Step-by-step explanation:

Step 1:  Find the solution to the first equation

[tex]3 - 2a < 13[/tex]

[tex]3 - 3 - 2a < 13 - 3[/tex]

[tex]-2a < 10[/tex]

[tex]-2a / -2 < 10 / -2[/tex]

[tex]a > -5[/tex]

Step 2:  Find the solution to the second equation

[tex]5a < 17[/tex]

[tex]5a / 5 < 17 / 5[/tex]

[tex]a < 3.4[/tex]

Answer:  [tex]-5 < a < 3.4[/tex]

25 points! Please help and solve step by step. Solve for x and check for extraneous solutions.
(X-2)^2/3 + 13 = 5

Answers

Answer:

no solutions

Step-by-step explanation:

(X-2)^2/3 + 13 = 5

Subtract 13 from each side

(X-2)^2/3 + 13-13 = 5-13

(x-2) ^2/3 = -8

Raise each to the 3/2 power

(x-2) ^2/3  ^3/2= -8^3/2

(x-2) = (-512) ^1/2

We cannot take the square root of a negative number and remain in the real number system

There are no solutions

Answer:

No real solutions

Imaginary/complex solutions:

x = 2 +/- 16sqrt(2)i

Step-by-step explanation:

(X-2)^2/3 + 13 = 5

(X-2)^2/3 = -8

(X - 2)² = (-8)³

X - 2 = +/- sqrt(-512)

No real solution

x = 2 +/- 16sqrt(2)i

(2 +/- 16sqrt(2)i - 2)^⅔ + 13 = 5

[(+/- 16sqrt(2)i)²]^⅓ + 13 = 5

(-512)^⅓ + 13 = 5

-8 + 13 = 5

5 = 5

help plz! (a + b - c)(a + b + c) multiplying polynomials

Answers

Answer:

a^2 + 2ab + b^2 - c^2

Step-by-step explanation:

When you multiply all the terms together you get a^2 + ab + ac + ab + b^2 + bc - ac - bc - c^2. Then you can just combine like terms and simplify it to a^2 + 2ab + b^2 - c^2. Hope this helps :)

The diagram shows a square-based cuboid.
10 cm
4 cm
Work out the volume of the cuboid.
State the units of your answer.

Answers

Answer:

400 cubic cm

Step-by-step explanation:

Given that base is square and is side is 10 cm

area of square is given by side^2

Thus, area of base of cuboid  = [tex]10^2[/tex] square cm = 100 sq. cm

We know volume for any cuboid is area of base * height

height is 4cm

thus, volume of cuboid = area of base of cuboid * height

                                     = 100 * 4 cubic cm = 400 cubic cm

Volume of cuboid is 400 cubic cm.

Unit is cubic cm

The volume of square based cuboid is [tex]400cm^{3}[/tex].

Given that, base is square and side of base is 10 cm.

Height of the square-based cuboid.is 4cm.

Area of base = [tex](side)^{2}=(10)^{2}=100cm^{2}[/tex]

Volume of the cuboid is multiplication of base area and height of the cuboid.

  [tex]Volume=100*4=400cm^{3}[/tex]

Hence, the volume of square based cuboid is [tex]400cm^{3}[/tex].

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Stir-fry is Vince's favorite food to cook, but it always makes a lot of smoke! Vince needs to know the volume of his kitchen so he can buy a fan that is the right size. Vince's kitchen has a floor area of 85 square feet. The height of the ceiling is 8 feet. What is the volume of Vince's kitchen?

Answers

Answer:

The volume of Vince’s Kitchen is 680 cubic feet

Step-by-step explanation:

To calculate the volume of Vince’s kitchen, what is needed to be done is to multiply the area of the floor by the height of the kitchen

Mathematically Volume V of kitchen = area of kitchen floor * height of kitchen

From the question, the area of the kitchen floor = 85 square feet

Height of kitchen = 8 feet

Plugging these values to get the area of the Kitchen, we have;

V = 8 * 85 = 680 cubic feet

Which of the pairs of angles are vertical angles and
thus congruent?

Answers

Answer:

When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles. Vertical angles are always congruent, which means that they are equal. ... Two angles are said to be complementary when the sum of the two angles is 90°.

Step-by-step explanation:

Answer:

A+G

Step-by-step explanation:

:D

What is the area of the triangle (I need this today pls help)

Answers

Answer: 24 units^2

(12*4)/(2)=24

Step-by-step explanation:

Answer:

Step-by-step explanation:

4*12/0.5=96

To the nearest foot, what is the radius of the Ferris wheel if you traveled 157 feet? feet

Answers

General Formulas and ConceptsAlgebra I

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityGeometry

Circumference Formula(s):
[tex]\displaystyle\begin{aligned}C & = 2 \pi r \\& = \pi d\end{aligned}[/tex]

where d is the diameter and r is the radius.

ApplicationStep 1: Define

Let's organize what is given to us in the problem.

We are given that we are riding a Ferris wheel and have traveled 157 feet.

Step 2: Solve

Let's find the radius of the Ferris wheel, which can be geometrically described as a circle. We use the Circumference Formula found above:

[Circumference Formula] Substitute in known variables (take π ≈ 3.14):
[tex]\displaystyle\begin{aligned}157 & = 2(3.14) r\end{aligned}[/tex]Divide both sides by 2(3.14) [Division Property of Equality]:
[tex]\displaystyle\begin{aligned}157 & = 2(3.14)r \\\frac{157}{2(3.14)} & = r \\\end{aligned}[/tex]Rewrite the result:
[tex]\displaystyle\begin{aligned}157 & = 2(3.14)r \\\frac{157}{2(3.14)} & = r \\r & = \frac{157}{2(3.14)} \\\end{aligned}[/tex]Simplify:
[tex]\displaystyle\begin{aligned}157 & = 2(3.14)r \\\frac{157}{2(3.14)} & = r \\r & = \frac{157}{2(3.14)} \\r & = \boxed{ 25 }\end{aligned}[/tex]

∴ the radius of the Ferris wheel is equal to 25 feet.

Answer

*Note: A similar question is found here w/ two different answers - https://brainly.com/question/8607274

The radius of the Ferris wheel is equal to 25 feet. The diameter of the Ferris wheel is equal to 50 feet. Recall that diameter is 2x the radius.

___

Learn more about circles: https://brainly.com/question/15306477

Learn more about Geometry: https://brainly.com/question/23669892

___

Topic: Geometry

Unit: Circles

Answer:

50 feet

Step-by-step explanation:

trust

Find the total volume of the rectangular prisms.
A) 88 units3
B) 96 units3
C) 104 units3
D) 114 units3

Answers

Answer:

C) 104 units^3

Step-by-step explanation:

The formula for volume in a rectangular prism is V=lwh

There are three total rectangular prisms, so take the volume of each individual prism and add them together to get the total volume.

smallest: V=(2)(2)(4) = 16

Medium: (2)(2)(6) = 24

Largest: (2)(2)(16) = 64

Add it together: 16+24+64= 104

Your answer is 104 units^3

:)

Write an equation to solve for the value of x. What is the value of x in the figure shown?

Answers

Answer:12

Step-by-step explanation:37=3x+1

find angle C! please and thankyou

Answers

Answer: it's around 40

Step-by-step explanation:

Derek is playing a prank on Grace and hid her pencil inside a tissue box that has a width of 4 inches, a length of 8 inches, and a height of 4 inches. The pencil fits perfectly from the upper left corner to the bottom right corner of the box. What is the length of Grace’s pencil to the nearest tenth of an inch?

Answers

Answer:

9.8 Inch

Step-by-step explanation:

The distance from the upper left corner to the bottom right corner of the box is the longest diagonal of the box.

For a rectangular prism:

Length of the Longest diagonal [tex]=\sqrt{ l^2+h^2+w^2}[/tex]

Therefore:

Length of the pencil[tex]=\sqrt{ 8^2+4^2+4^2}[/tex]

[tex]=\sqrt{96}\\=9.8$ inch(correct to the nearest tenth of an inch)[/tex]

Answer: length of pencil is 9.8 inches.

Step-by-step explanation:

The pencil fits perfectly from the upper left corner to the bottom right corner of the box. This is the diagonal of the box(not the diagonal of a face). To determine the length of the pencil, we would determine the length of the diagonal of the box. The formula formula is

d = √(l² + w² + h²)

Where

d = diagonal = length of pencil

w = width = 4 inches

h = height = 4 inches

l = length = 8 inches

Therefore,

d = √(4² + 4² + 8²) = √96

d = 9.8 inches

Which represents the solution(s) of the system of equations, y = -x2 + 6x + 16 and y = - 4x + 37? Determine the solution set
algebraically
O (325)
(-3, 49)
(3,25) and (79)
(-3, 49) and (-7, 65)

Answers

Answer:

The answer is c

Step-by-step explanation:

(7,9) (3,25)

The solution sets of the given system of equations are (3,25) and (7,9).

Given equations are :

[tex]y=-x^{2} +6x+16[/tex]........(1)

[tex]y=-4x+37[/tex]...........(2)

What is an equation?

An equation is a statement that equates to two expressions.

So, for the solutions of the  given system of equations

[tex]-x^{2} +6x+16=-4x+37[/tex]

[tex]x^{2} -10x+21=0[/tex]

[tex]x^{2} -3x-7x+21=0\\x(x-3)-7(x-3)=0[/tex]

[tex](x-3)(x-7)=0[/tex]

So, [tex]x=3[/tex]

[tex]x=7[/tex]

Corresponding y value for x=3

[tex]y=-4*3+37\\y=25[/tex]

Corresponding y value for x=7

[tex]y=-4*7+37[/tex]

[tex]y=9[/tex]

Hence, the solution sets of the given system of equations are (3,25) and (7,9).

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Habib is making some scones.
His recipe tells him to bake the scones at 356°F for 30 minutes.
The temperature gauge on Habib's oven shows the temperature in
degrees Celsius, "C.
The formula to convert °F (Fahrenheit) into °C is:
C = 5F - 160
At what temperature, in °C, should Habib bake his scones?​

Answers

Answer:

1620°C

Step-by-step explanation:

Using the equation

C = 5F - 160, at 356°F we'll have

C = 5(356) - 160

C = 1780 - 160

C = 1620°C

work out
3/17 x 17/21
write the answer in its lowest form

Answers

3 × 17 over 17 × 21 with the first as numerator and second one as denominator

We can see that both the 17 can nullify so we are left with ³/21 and simplify to get ¹/7

The expression, simplified to its lowest form is [tex]\frac{1}{7}[/tex]

From the question,

We are to evaluate  3/17 x 17/21

First, we will write the expression properly

The expression can be written as

[tex]\frac{3}{17} \times \frac{17}{21}[/tex]

The expression can be evaluated as shown below

[tex]\frac{3}{17} \times \frac{17}{21}[/tex] becomes

[tex]\frac{3 \times 17}{17 \times 21}[/tex]

Simplifying, we get

[tex]\frac{3}{21}[/tex]

Further simplification gives

[tex]\frac{1}{7}[/tex]

Hence, the expression, simplified to its lowest form is [tex]\frac{1}{7}[/tex]

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The combustion of 0.25 mol of an unknown
organic compound results in the release of 320 kJ
of energy. Which of the compounds in the table
could be the unknown compound?

Answers

Answer:

ethanol

Step-by-step explanation:

The enthalpy of combustion is the amount of heat produced when one mole of ethanol undergoes complete combustion at 25 ° C and 1 atmosphere pressure, yielding products also at 25 ° C and 1 atm.

The enthalpy of combustion of the unknown compound is

ΔH = - 320 kJ / 0.25 mol = - 1280 kJ / mol

To choose a probable compound according to this combustion enthalpy, we must evaluate the deviation in relation to the values reported in the literature for the three probable compounds (methane, ethylene and ethanol). The deviation (e%) will be calculated according to the following equation,

e% =  ( | ΔHx - ΔH | / ΔHx ) x 100%

where ΔHx is the enthalpy of combustion of the probable compound.

The following table shows the combustion enthalpies of the probable compounds and their deviation in relation to the enthalpy of ΔH = - 1280 kJ / mol

Compound Enthalpy of combustion (kJ/mol)   Deviation

Methane                        - 890.7                                 43.8%

Ehylene                         -1411.2                                   9.3%

Ethanol                        -1368.6                                    6.5%

According to the previous table, we can say that the most probable compound is ethanol, since it has the smallest deviation in relation to the experimental enthalpy value of combustion.

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Answer: ethanol

Step-by-step explanation:

Got it right on edge

A data set has a lower quartile of 3 and an interquartile range of 5. Which box plot could represent this data set?
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 2 to 15, and the box ranges from 3 to 8. A line divides the box at 6.
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 4 to 16, and the box ranges from 4 to 11. A line divides the box at 9.
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 2 to 15, and the box ranges from 3 to 10. A line divides the box at 8.
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 3 to 16, and the box ranges from 4 to 9. A line divides the box at 7.

Answers

Answer:A

Step-by-step explanation:

A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 2 to 15, and the box ranges from 3 to 8. A line divides the box at 6. Option A is correct.

What is a box plot?

A straightforward method of expressing statistical data on a plot in which a rectangle is drawn to represent the second and third quartiles, with a vertical line inside to indicate the median value. Horizontal lines on both sides of the rectangle show the lower and upper quartiles.

Here,

The lower quartile (Q1) of the data set is 3, so the bottom of the box must start at 3.
The interquartile range (IQR) is 5, so the upper quartile (Q3) must be
Q1 + IQR = 3 + 5 = 8


The median (also called the first quartile) is halfway between Q1 and Q3, so it must be at (Q1 + Q3) / 2 = (3 + 8) / 2 = 6.

The whiskers extend to the minimum and maximum values within 1.5 * IQR of the box, so they must range from 2 to 15.

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j divided by 9 is 5 , write an equation to represent the following statement

Answers

Answer:

The first answer is incorrect

Step-by-step explanation:

45 divided by 9 is 5 not 40

The equation that represents the statement is j / 9 = 5.

What is an Equation?

An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.

The statement j divided by 9 is 5 can be written in equation form as follows:

j / 9 = 5

j = 45

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In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians.



What is the length of the arc?

Answers

Answer:

length of the arc = 6.28 ft

Step-by-step explanation:

[tex]r = 3 \: ft \\ central \: angle \: ( \theta) = \frac{2\pi^{c} }{3} = 120 \degree \\ \\ l = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ l = \frac{ 120 \degree}{360 \degree} \times 2 \times 3.14 \times 3\\ \\l = \frac{ 1}{3} \times 6.28 \times 3\\ \\ l = 6.28 \: ft \\ [/tex]

Positive ÷ positive = ?

Answers

Answer:

positive

Step-by-step explanation:

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