is o.16 in root a rational or irrational

Answers

Answer 1

Answer:

[tex]\sqrt{0.16}[/tex] is a rational number

Step-by-step explanation:

[tex]\sqrt{0.16}=\sqrt{\frac{16}{100}}=\frac{4}{10}=0.4[/tex]

It is a perfect square. so, it is a rational number


Related Questions

Javier earned the following scores on his first five tests: 77, 89, 84, 80, and 85. What score did he earn on his last test to have a test mean of 84%?

84%
88%
86%
89%

Answers

Answer:

88

Step-by-step explanation:

it meets the mean

Answer:

88%

Step-by-step explanation:

:)

Which interval notation represents the set of all number greater than or equal to 1 and less than 6

Answers

Indicating the solution to an inequality such as \displaystyle x\ge 4x≥4 can be achieved in several ways.

We can use a number line as shown in Figure 2. The blue ray begins at \displaystyle x=4x=4 and, as indicated by the arrowhead, continues to infinity, which illustrates that the solution set includes all real numbers greater than or equal to 4.

A number line starting at zero with the last tick mark being labeled 11. There is a dot at the number 4 and an arrow extends toward the right.

Figure 2

We can use set-builder notation: \displaystyle \{x|x\ge 4\}{x∣x≥4}, which translates to “all real numbers x such that x is greater than or equal to 4.” Notice that braces are used to indicate a set.

The third method is interval notation, in which solution sets are indicated with parentheses or brackets. The solutions to \displaystyle x\ge 4x≥4 are represented as \displaystyle \left[4,\infty \right)[4,∞). This is perhaps the most useful method, as it applies to concepts studied later in this course and to other higher-level math courses.

The main concept to remember is that parentheses represent solutions greater or less than the number, and brackets represent solutions that are greater than or equal to or less than or equal to the number. Use parentheses to represent infinity or negative infinity, since positive and negative infinity are not numbers in the usual sense of the word and, therefore, cannot be “equaled.” A few examples of an interval, or a set of numbers in which a solution falls, are \displaystyle \left[-2,6\right)[−2,6), or all numbers between \displaystyle -2−2 and \displaystyle 66, including \displaystyle -2−2, but not including \displaystyle 66; \displaystyle \left(-1,0\right)(−1,0), all real numbers between, but not including \displaystyle -1−1 and \displaystyle 00; and \displaystyle \left(-\infty ,1\right](−∞,1], all real numbers less than and including \displaystyle 11. The table below outlines the possibilities.

I hope I will help

Write the expression shown below in simplest terms.

4/5 (10x - 25) + 25

Answers

Answer:

4

0

1

0

0

5

+

2

5

Step-by-step explanation:

Brainliest?

the simplified answer is 8x+5

Point E on the diagonal of the rectangle ABCD, AE:EC=3:1, and AB:BC=5:4. Find the ratio of DE to BE

Answers

Answer:

3.88 : 3.25   ≈   13 : 11

Step-by-step explanation:

I don't know what are you in, geometry or algebra? I'll post my way of solution. It may need some calculator calculation that I can't give detail of steps here. I just like to explore something, wish it help.

suppose D is the origin, DA = 4 and AB = 5

A (0,4)    B(5,4)    C(5,0)    D(0,0)

AE/AC = 3/4   (i.e. AE/EC = 3/1)

parallel of EF with DC and EG with BC

CF/BC = CE/AC = 1/4

CF = BC x 1/4 = 4 x 1/4 = 1

DG/DC = AE/AC = 3/4  

DG = DC x 1/4 = 5 x 3/4 = 15/4

coordinator of E (3.75 , 1)

length of DE = √3.75² + 1² = 3.88

length of BE = √1.25² + 3² = 3.25

DE : BE = 3.88 : 3.25 ≈ 13: 11     (3.88/13 ≈ 0.29,  3.25/11 ≈ 0.29)

Given: F(x) = x +3 ; G(x) = 2x^2 -4 Find (f*g)(x)

I seriously need help with this

Answers

Answer:

(f*g)(x) = (x +3)(2x² -4) =2(x+3)(x²-4)  or = 2x³ + 6x² - 4x -12

Step-by-step explanation:

F(x) = x +3

G(x) = 2x^2 -4

(f*g)(x) = f(x) * g(x)

(f*g)(x) = (x +3)(2x² -4) =2(x+3)(x²-4)  or = 2x³ + 6x² - 4x -12

The function (f x g)(x) is equal to 2x³ + 6x² - 4x -12.

What is a function?

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

The function (f x g)(x) is calculated as,

F(x)  = x +3

G(x) = 2x² -4

(f x g)(x) = f(x)  x  g(x)

(f x g)(x) = (x +3)(2x² -4) =2(x+3)(x²-4)  

(f x g)(x)  = 2x³ + 6x² - 4x -12

Therefore, the function (f x g)(x) is equal to 2x³ + 6x² - 4x -12.

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2. Explain, in words, how you would solve this problem. Hint: you should get 1 point
a whole number answer.
9 – 24 = 4(3)
Your answer

Answers

Answer:

9-24=4(3)

-15=4×3

-15=12

Answer:

9-24= 4(3)

Multiply first

9-24=12

Then subtract the other digits in the side

-15=12

Step-by-step explanation:

Follow the PEMDAS rule which it to do which ever one of these first before furthering the math.

(Parentheses, exponents, multiply, division, addition and subtraction)

BUT hopefully there wasn’t a missing letter variable in the equation so you could get a single answer

−11=r+4+4r Plz provide step by step

Answers

Answer:

R=-3

Step-by-step explanation:

-11=r+4+4r

-11=5r+4

-4 both sides

-15=5r

Divide 5 both sides

r=-3

Answer:

r=-3

Step-by-step explanation:

Read the caption thank you :)) if you know it let me know!

Answers

Answer:

∠ A = 50°

Step-by-step explanation:

In a parallelogram, consecutive angles are supplementary, sum to 180°

∠ A + 130° = 180° ( subtract 130° from both sides )

∠ A = 50°

What inverse trig function can be used to find the measure of angle A? (Will give Brainliest ❤️❤️)

Answers

9514 1404 393

Answer:

  (b)  sin⁻¹

Step-by-step explanation:

The relevant trig function relating angles to sides is ...

  Sin = Opposite/Hypotenuse

Here, we have ...

  sin(A) = 4/12 = 1/3

  A = arcsin(1/30 = sin⁻¹(1/3)

The inverse sine function can be used to find the angle.

Please help me with this question

Answers

9514 1404 393

Answer:

  x = 7 1/3

Step-by-step explanation:

The smaller triangle is 6/9 = 2/3 the size of the larger triangle, so the left side is ...

  (x -2) = (2/3)(8)

  3(x -2) = 16 . . . . . multiply by 3 to clear fractions

  3x -6 = 16 . . . . . . eliminate parentheses

  3x = 22 . . . . . . . . add 6; next divide by 3*

  x = 22/3 = 7 1/3 . . . . . feet

_____

* Note that we multiplied by 3, then divided by 3. If you're comfortable working with fractions and/or mixed numbers, these steps are unnecessary. The answer is simply x = 2 + 16/3 = 22/3.

please hurry! it's 4 a quiz

Answers

Answer:

AD∥BC,BD is the transversal line

⟹∠ADB=∠DBC (∵alternate angles)

⟹z=30

Step-by-step explanation:

HELP DUE IN 30 MIN

x =

Answers

Answer:

x=4

Step-by-step explanation:

21x+6=90(alternate angles)

21x=90-6

x=94/21

Therefore, x=4

Answer:

x=4

Step-by-step explanation:

21x+6=90

-6. -6

21x=84

/21. /21

x=4

You are on a treasure-diving ship that is hunting for gold and silver coins. You reel in a wire basket that contains gold and silver coins, among other things. The basket holds no more than 50 pounds of material. Each gold coin weighs about 0.5 ounce, and each silver coin weighs about 0.25 ounce. You want to know the different numbers of each type of coin that could be in the basket.

Answers

Answer:

Inequality equation:

0.03125x + 0.015625y ≤ 50 pounds

Step-by-step explanation:

We convert the ounces to pounds

1 ounce = 0.0625 pound

For the gold coin = 0.5 ounce

1 ounce = 0.0625 pounds

0.5 ounce = x

x = 0.5 × 0.00625 pounds

x = 0.03125 pounds

For the Silver coin = 0.25 ounce

1 ounce = 0.0625 pounds

0.25 ounce = x

x = 0.25 × 0.00625 pounds

x = 0.015625 pounds

The basket holds no more than 50 pounds of material.

Let the number of gold coins = x

The number of silver coins = y

Hence: our inequality equation:

0.03125x + 0.015625y ≤ 50 pounds



Given f(x) = 2x^2 – 9x + 2, g( x)= 1-6x, and
h(x) = x2 - 4, find (f o h) (2)

Answers

Answer:

The value of (f о h) (2) is 2

Step-by-step explanation:

Let us solve the question

In the composite function (f о h) (x) we substitute x in f(x) by h(x)

f(x) = 2x² - 9x + 2

h(x) = x² - 4

∵ We need to find (f о h) (2)

→ That means use x = 2

x = 2

We will find at first h(2), then substitute x in f by the answer of h(2)

∵ x = 2

∵ h(2) = (2)² - 4

∴ h(2) = 4 - 4

h(2) = 0

Now substitute x in f by 0

∵ x = 0

∵ f(0) = 2(0)² - 9(0) + 2

∴ f(0) = 0 - 0 + 2

f(0) = 2

(f о h) (2) = 2

X =
95
(7x - 4)
(3x + 23)°
(9x – 6)

Answers

Answer:

661 is for the first 308 for second 849 for last

Step-by-step explanation:

What is the area of the triangle?
24
10
26
units2

Answers

The are of the triangle is 120

Picture is attached to it please help I need it

Answers

Answer:

x = 80, y = 100

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 7 , then

sum = 180° × 5 = 900°

Sum the interior angles and equate to 900

y + 135 + 140 + 150 + 120 + 135 + 120 = 900, that is

y + 800 = 900 ( subtract 800 from both sides )

y = 100

x and y are adjacent angles and are supplementary, that is sum to 180°

x + y = 180

x + 100 = 180 ( subtract 100 from both sides )

x = 80

Thus x = 80 and y = 100

On Friday, an art museum sold 720 adult tickets. The number of adult ticket sold was 9 times the number of children's ticket sold. On Saturday, the museum sold 6 times as many children's ticket as on Friday How many children ticket sold on saturday

Answers

Answer: 480 children's tickets

Step-by-step explanation:

On the Friday, 720 adult tickets were sold.

This number was 9 times the number of children's tickets sold. Number of adult tickets sold was therefore:

= 720/9

= 80 children's tickets.

On the Saturday, 6 times the above amount was sold:

= 6 * 80

= 480 children's tickets

Megan is trying to break the school's long jump
record. To what level of accuracy and precision
should her jump be measured?

Answers

Ugh ok it’s 5cm for the long jump angle

Cound someone explain the relativistic mass-energy equation for me please? 100 points and brainliest

Answers

Answer:

Relativistic energy is conserved as long as we define it to include the possibility of mass changing to energy. Total Energy is defined as: E = γmc2, where γ=1√1−v2c2 γ = 1 1 − v 2 c 2 . Rest energy is E0 = mc2, meaning that mass is a form of energy. If energy is stored in an object, its mass increases.

Step-by-step explanation:

Answer:

Energy can either be potential energy or kinetic energy, but mechanical energy

Mechanical energy = Potential energy + Kinetic energy

[tex]potential \: energy = mgh \\ kinetic \: energy = \frac{1}{2}m {v}^{2} \\ mechanical \: energy = mgh + \frac{1}{2} m {v}^{2} \\ = \frac{1}{2} m(2gh + m {v}^{2} )[/tex]

Then for Eistein mass energy relation

E = mc²

c is speed of light

Sara sold 461 tickets for a school play. Student tickets cost $3 and adult tickets cost $4. Sara’s sales totaled $1624.How many adult tickets and how many student tickets did Sara sell?

Answers

Answer:

220 student and 241 adults

Step-by-step explanation:

x+y=461

3x+4y=1624

y=-x+461-----> 3x+4(-x+461)=1624

                              -x+1844=1624

                             +x  -1624

                                   x=220

3(220)+4y=1624

660+4y=1624

4y=964

y=241

There are 241 adult tickets and 220 student tickets did Sara sell.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Sara sold 461 tickets for a school play.

And, Student tickets cost $3 and adult tickets cost $4. Sara’s sales totaled $1624.

Let number of adult tickets = x

And, Number of student tickets = y

Hence, We get;

⇒ x + y = 461  .. (i)

And, 4x + 3y = 1624 .. (i)

Multiply by 3 in (i);

⇒ 3x + 3y = 1383  .. (iii)

Subtract form (ii);

⇒ x = 241

And, From (i);

⇒ x + y = 461

⇒ 241 + y = 461

⇒ y = 461 - 241

⇒ y = 220

Thus, There are 241 adult tickets and 220 student tickets did Sara sell.

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hiii please help i’ll give brainliest if you give a correct answer ty!!

Answers

The answer is 130 because you multiply 10 x 13

Can some one help me

Answers

Answer:

hey long time no see!


I need help!!
Which of the following expression is equal to y/x^2?

Answers

The answer to a the first option which is option A

NEED HELP ASAP!!! please help me

Answers

Answer: B explanation; bc i saif

[tex]\frac{a-3b}{a+2b} = \frac{4}{3}[/tex]

what is the value of a:b??

Answers

Answer:

[tex]a:b = -17:1[/tex]

Step-by-step explanation:

Given

[tex]\frac{a-3b}{a+2b} = \frac{4}{3}[/tex]

Required

Find a:b

[tex]\frac{a-3b}{a+2b} = \frac{4}{3}[/tex]

Cross Multiply

[tex]3(a-3b) = 4(a+2b)[/tex]

Open brackets

[tex]3a - 9b = 4a + 8b[/tex]

Collect Like Terms

[tex]3a - 4a = 8b+9b[/tex]

[tex]-a = 17b[/tex]

Divide through by -b

[tex]\frac{-a}{-b} = \frac{17b}{-b}[/tex]

[tex]\frac{a}{b} = \frac{17}{-1}[/tex]

[tex]\frac{a}{b} = \frac{-17}{1}[/tex]

Represent as a ratio

[tex]a:b = -17:1[/tex]

Determine the input, output and function of the following question
K=3H-11

Answers

Answer:

do we need to explain in words or numbers

Step-by-step explanation:

The diagram shows 3 identical circles inside a rectangle.
Each circle touches the other two circles and the sides of a rectangle,
as shown in the diagram.
The radius of each circle is 28 mm.
Work out the area of the rectangle.
Give your answer correct to 3 significant figures.

Answers

Answer:

11700 mm²

Step-by-step explanation:

A rectangle is a quadrilateral with two equal, opposite and parallel sides. Each of the angles in a rectangle is 90°.

The horizontal distance of the rectangle = r + r + r + r = 4r

The vertical distance = r + h + r = 2r + h

Where h is the distance between the midpoint of the 2 up circles and the midpoint of the down circle.

Using Pythagoras:

 (2r)² = h² + r²

h² + r² = 4r²

h² = 3r²

h = √3r²

h = r√3

Vertical distance = 2r + h = 2r + r√3

Area of rectangle = vertical distance * horizontal distance

Area = 4r * (2r + r√3) = 8r² + 4r²√3 = 4r²(2 + √3)

Substituting:

Area = 4r²(2 + √3) = 4(28²)(2 + √3) = 11703.711 mm²

Area = 11700 mm² to 3 s.f

solve 15x + 60 < 240

Answers

Answer:

15x+60<240     is x<12

Step-by-step explanation:

Let's solve your inequality step-by-step.

15x+60<240

Step 1: Subtract 60 from both sides.

15x+60−60<240−60

15x<180

Step 2: Divide both sides by 15.

15x

15

<

180

15

x<12

Answer:

x<12

Step-by-step explanation:

help help help ! (ITS DUE)

Answers

Answer:

y÷8

Step-by-step explanation:

The quotient is the result of division between two numbers.

SOOO its y÷8 because a quotient is a division problem and y and 8 are the variables in the equation!

y£8 that’s the answer
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