Which of the following is a rational number?
square root 97square root 98, square root 99, square root 100

square root 97
square root 98
square root 99
square root 100

Part A: Find a rational number that is between 5.2 and 5.5. Explain why it is rational. (2 points)

Part B: Find an irrational number that is between 5.2 and 5.5. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth. (3 points)

Answers

Answer 1

Answer:

Square root of 100.  

Step-by-step explanation:

Step-by-step explanation:

We can write 10 as a fraction 10/1, therefore,[tex]\sqrt{}[/tex]100   is a rational number.

Part A : A rational no. between 5.2 and 5.5 is 5.3.  

It is rational because it can be expressed in the form  

p/q where p and q are integers and q is not equal to 0, which is 53/10

Part B: A rational no. between 5.2 and 5.5 is 5.29150262213

An irrational number between 5.2 and 5.5 is 5.29150262213. It is irrational because there is no pattern that repeats and it cant be written as a fraction of two whole numbers.

Answer 2

Answer:

Step-by-step explanation:

Square root of all prime numbers is irrational.

97 is an prime number. So √97 is an irrational number.

√98 = [tex]\sqrt{2*7*7}=7\sqrt{2}[/tex]  is an irrational number.

[tex]\sqrt{99}=\sqrt{3*3*11} =3\sqrt{11}[/tex] is an irrational number

√100 = 10 is a rational number.

Part A:

5.3 is a rational number.

Rational can be written in p/q form and when divided the result will either terminating decimal or non terminating repeating decimal

Part B:

5.3020050......

Irrational numbers are non terminating non repeating numbers


Related Questions

Mr. Ellington has a total of 32 students in his class , The ratio of girls to boys is 3:5, how many girls are in Mr . Ellington's class ?

Answers

Add the ratio: 3 + 5 = 8

Divide total students by that:

32/8 = 4

The ratio for girls is 3, multiply the 4 by 3:

4 x 3 = 12

There are 12 girls

Answer:

12

Step-by-step explanation:

If the ratio of girls to boys is 3:5, that means that for every 8 total students, 3 would be girls and 5 would be boys. Therefore 3/8 of the students are girls and 5/8 are boys. If 3/8 are girls, then:

[tex]\frac{3}{8}[/tex] of 32

= [tex]\frac{3}{8} * 32[/tex]

[tex]=\frac{3 * 32}{8} \\= \frac{96}{8} \\= 12[/tex]

There are 12 girls.

sinx + cos2x + sin3x + 1 =0

Answers

Step-by-step explanation:

This is true statement.

have a great day

Where is the blue dot on the number line?
-4.5

-5


-5.5


Answers

Answer:

You don't have the number line image attachment...or at least i cant see it. If you send a picture or link it I would be more than happy to help you.

Step-by-step explanation:

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!

Answers

Answer:

The distribution is positively skewed.

Step-by-step explanation:

It's not symmetric because the distribution in the chart isn't equally shown or marked. It's not negative skewed either because for it to be negative the graph would have to go down in a negative direction, usually the left, but in the picture you posted the graph is going down in the right direction. Lastly, positively skewed graphs or charts look like the one you posted. They go down in the right direction, hence why they're called "positively" skewed. The right tail of the distribution is longer in positively skewed graphs or charts.

I need help with VOCAB!!!Please help ASAP

Answers

Answer:

SSS postulate

Step-by-step explanation:

its probab;py wrong im sorry

Answer:

SSS Postulate

Step-by-step explanation:

Since both triangles have 3 congruent sides, then

The triangles are congruent by the SSS postulate

Anne deposited $500 in an account that earns 6% simple annual interest. Shelly deposited $500 in an account that earns 6% annual interest compounded annually. They leave the money in the account for 4 years. What is the difference between the two accounts?

Answers

Answer:

$11.23

Step-by-step explanation:

A) 500 +  4(.06*500)

[tex]500+4\left(0.06\cdot \:500\right)=620[/tex]

B) [tex]500\cdot \:1.06^4=631.23848[/tex]

A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 2 milliliters of compound B. If a chemist wants to make 280 milliliters of the drug, how many milliliters of compound B are needed?

Answers

Answer:

42 milliters of compound B are needed......Actually I am not sure hope this may urr answer....

Two lines that lie in parallel planes are_____
parallel.


1: sometimes
2: never
3: always

Answers

Sometimes parallel they are not always parallel
Hi! The answer is 1. or sometimes parallel. It is not needed for them to always be parallel. I hope this helped you, Goodluck!

Given: PSEPT, ZPRSE ZPRT
Prove: PRSI PRT
Look at the figure. Which reason justifies that PRS and PRT are right angles?
I need help !!

Answers

Answer:

< PRS and < PRT are congruent supplementary angles.

Step-by-step explanation:

the ''math student'' was wrong. When two lines form to create a 90 degree angle (right angle) they are perpendicular. Angles can be perpendicular. BUT

  Supplementary angles are two angles that measure up to 180 degrees.

Hope this helps!

Answer:

Congruent adjacent angles that form a linear pair are right angles.

Step-by-step explanation:

Congruent adjacent angles that form a linear pair are right angles.

Ajay is researching how the population of his hometown has changed over time. Specifically, he learns his hometown had a population of 20{,}00020,00020, comma, 000 in 199019901990, and that the population has since increased by about 8\%8%8, percent every 333 years.
Ajay predicts that his town can only support a population of 50{,}00050,00050, comma, 000. Ajay is relieved to see that population has not exceeded 50{,}00050,00050, comma, 000 ttt years after 199019901990.
Write an inequality in terms of ttt that models the situation.

Answers

Answer:

Could you Write the question more clearly?

Step-by-step explanation:

Simplify -23.


wjfnwkfnfffkmwnkfm

Answers

Answer:

-23 = - 23

Step-by-step explanation:

there you go...hopefully it makes sense :)

when it.jhonny hejzjrhjahruwhehb4nrjdjhegrhdjsrhhrhrr jake b poouoiouoiouoakao​

Answers

Yehsjakoaoqowoqooqoqitstrrewwww

Someone help pleasee

Answers

Answers:

a = 3

b = 3

c = -6

=====================================

Explanation:

The roots are x = 1 and x = -2. This leads to the factors x-1 and x+2 respectively.

This is because something like x = 1 becomes x-1 = 0 after subtracting 1 from both sides. For x = -2, we add 2 to both sides getting x+2 = 0.

The factorization is y = a(x-1)(x+2)

Plug in (x,y) = (2,12) and solve for 'a'

y = a(x-1)(x+2)

12 = a(2-1)(2+2)

12 = a(1)(4)

12 = 4a

12/4 = a

3 = a

a = 3

So we have y = a(x-1)(x+2) update to y = 3(x-1)(x+2)

--------------------------------------

The last thing we need to do is expand everything out (use the FOIL rule then distributive rule) to get the equation into standard form

y = 3(x-1)(x+2)

y = 3(x^2+2x-1x-2)

y = 3(x^2+x-2)

y = 3x^2+3x-6

Comparing this to y = ax^2+bx+c shows that:

a = 3

b = 3

c = -6

The graph is below.

add: 7x+2y³-4xy,3x-2xy³+7xy and 2xy-5x+6y³

Answers

[tex]\\ \sf\longmapsto 7x + 2y {}^{3} - 4xy + 3x - 2xy {}^{3} + 7xy + 2xy - 5x + {6y}^{3} \\ \\ \sf\longmapsto 2y {}^{3} + 6 {y}^{3} - 2xy {}^{3 } + 7x + 3x - 5x - 4xy + 7xy + 2xy \\ \\ \sf\longmapsto 8y {}^{3} - 2xy {}^{3} + 5x + 5xy \\ \\ \sf\longmapsto 2y {}^{3} (4 - x) + 5x(1 + y)[/tex]

A pendulum is swinging next to a wall. The distance D(t)D(t)D, left parenthesis, t, right parenthesis (in \text{cm}cmstart text, c, m, end text) between the bob of the pendulum and the wall as a function of time ttt (in seconds) can be modeled by a sinusoidal expression of the form a\cdot\sin(b\cdot t)+da⋅sin(b⋅t)+da, dot, sine, left parenthesis, b, dot, t, right parenthesis, plus, d. At t=0t=0t, equals, 0, when the pendulum is exactly in the middle of its swing, the bob is 5\text{ cm}5 cm5, start text, space, c, m, end text away from the wall. The bob reaches the closest point to the wall, which is 3\text{ cm}3 cm3, start text, space, c, m, end text from the wall, 111 second later. Find D(t)D(t)D, left parenthesis, t, right parenthesis. \textit{t}tstart text, t, end text should be in radians.

Answers

Answer:

D(t)=-2sin(pi/2 t)+5

Step-by-step explanation:

i did it on Khan academy

Answer:

-2sin(pi/2 t)+5

Step-by-step explanation:

ALso did on Khan Academy (its on the sinisoidal equations excercise)

The denominator of a fraction exceeds twice the numerator of the fraction by 10. The value of this fraction is 5/12. Find the fraction.

Answers

Answer:

25/60

Step-by-step explanation:

Numerator = n

[tex]\frac{n}{2n + 10} = \frac{5}{12}[/tex]

Cross multiply:

n * 12 = (2n + 10) * 5

12n = 10n + 50

12n - 10n = 10n + 50 - 10n

2n = 50

n = 25

Fraction = [tex]\frac{25}{60}[/tex]

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

25/60

Step-by-step explanation:

Study Island:)

In the circle below, if arc AC = 66°, and arc BD = 146, find the measure of Select one:
a. 146
b. 212
C. 66
d. 106

Answers

Answer:

D. 106°

Step-by-step explanation:

m∠BPD = m∠APC = 1/2(mAC + mBD) = 1/2(66° + 146°) = 1/2(212°) = 106°

Answer:

By applying intersecting chords angle theorem:-

[tex]m\angle BPD= 106[/tex]° [tex]=1/2(BD+AC)[/tex]

[tex]=1/2(146+66)[/tex]

[tex]=1/2\time(212)[/tex]°

[tex]m\angle BPD=106[/tex]°

Answer:- D) 106°

OAmalOHopeO

Which list shows the numbers 13.5, 1.35, 1.352, 0.135 in ascending order?
13.5, 1.352, 1.35, 0.135
0.135, 1.352, 1.35, 13.5
0.135, 13.5, 1.35, 1.352
0.135, 1.35, 1.352, 13.5

Answers

d ok have a good day

Answer: Choice D

0.135, 1.35, 1.352, 13.5

=====================================================

Explanation:

Ascending order means "smallest to largest"

The smallest item is 0.135, then we move to 1.35, then to 1.352, and finally 13.5

The reason why 1.35 is smaller than 1.352 is to think of the first value is 1.350; then note how 350 is smaller than 352.

There are 5 members in a running group. Over a period of 4 weeks, each member agreed to run 2 miles each Monday, 3 miles each Wednesday, and 2 miles each Friday.

Which expression represents the total number of miles that will be run by all the members in the group?


5×(4×2+3+2)

5×[4×(2+3+2)]

[5×(4×2+3)]+2

5×(4×2+3)+2

Answers

Answer:

5×[4×(2+3+2)]

Step-by-step explanation:

they will run 2 miles moday, 3 wednesday,  2 on friday so add it up and you get how many they will run for a week

there is 4 weeks, so mutiply by 4

there are 5 members so you mutiply by 5 as well

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Find the mode of the data set that consists of 8, 18, 4, 2, 3, 7, 11, 13, 5, 1.
A. 6
B. 7.2
C. no mode
D. 17

Answers

Answer:

C. no mode

Step-by-step explanation:

Step 1. Rearrange the numbers in order from least to greatest!

1, 2, 3, 4, 5, 7, 8, 11, 13, 18

Step 2. Find the mode. (Number mostly being occurred)

No numbers are being repeated so therefore, there’s no mode

What is the domain of the function shown in the table?
X
-2
-1
0
1
y
0
1
2
3
A. (-2,-1,0,1,2,3)
B. {-2, -1,0,1)
C. {0, 1, 2, 3)
D. (-2, 0),(-1,1),(0, 2), (1,3)

Answers

Answer:

{ -2,-1,0,1}

Step-by-step explanation:

The domain are the values for the input

Domain { -2,-1,0,1}

am thinking of a number multiplying it by 4 then subtracting 6 the answer is greater than 14. Write the inequality

Answers

Answer:

4x - 6 > 14

Step-by-step explanation:

4x - 6 > 14

4x = 20

x = 5

Find the measure of GH.

Answers

Answer:

D

Step-by-step explanation:

Given a tangent and a secant from an external point to the circle, then

The product of the external part and the whole secant is equal to the square of the tangent, that is

8(8 - 6 + 2x) = 12²

8(2 + 2x) = 144 ( divide both sides by 8 )

2 + 2x = 18 ( subtract 2 from both sides )

2x = 16 ( divide both sides by 2 )

x = 8

Then

GH = - 6 + 2x = - 6 + 2(8) = - 6 + 16 = 10 → D

Answer:

[tex]\textsf{GH=10}[/tex]

Step-by-step explanation:

[tex](EF)^{2} =FG(FH)[/tex]

[tex](12)^{2} =8(8-6+2x)[/tex]

[tex]144=8(2+2x)[/tex]

[tex]144=16+16x[/tex]

[tex]16x=144-16[/tex]

[tex]16x=128[/tex]

[tex]x=128/16=8[/tex]

So, [tex]GH=-6+2(8)=[/tex]

[tex]-6+16=[/tex]

[tex]=10[/tex]

[tex]\textsf{OAmalOHopeO}[/tex]

Need answer asap algebra 2 math

Answers

Answer:

B

Step-by-step explanation:

f(x) = 2x^2 - 4x + 5                   Put brackets around the first 2 terms.

f(x) = (2x^2 - 4x) + 5                 Take out the common factor of 2

f(x) = 2(x^2 - 2x) + 5                 1/2 the second term and square.

f(x) = 2(x^2 -2x + (2/2)^2) + 5   Express brackets as a perfect square.

f(x) = 2(x - 1)^2 + 5                     Multiply 2 * 1 (the term without an x. Subtract.

f(x) = 2(x - 1)^2 + 5 - 2                Combine

f(x) = 2(x - 1)^2 + 3

Which expression is equivalent to -3+(-9)?
O 3+ (-9)
0 –9 – (-3)
Submit Answer
0-3 – (-9)
0-3 - 9

Answers

Answer:

-3-9

Step-by-step explanation:

+(-) = -

-3-9 is the answer:)) if you see +(-) together it would bcome minus. Hope you understand it<33

Which numbers are a distance of 3 units from 12 on a number line?
-5 -4 -3 -2 -1 0
1 2 3 4
5 6 7
8 9 10 11 12 13 14 15 16 17
9 and 15
-9 and -15
O and 3
3 and 12

Answers

Answer:

9 and 15

Step-by-step explanation:

9 10 11 12 13 14 15

please help
Find f(1/3) if f(n) = 3n.

Answers

Answer:

1

Step-by-step explanation:

f(n) = 3n

f(1/3)= 3*(1/3)=1

f(1/3)=1

Answer:

3

Step-by-step explanation:

Plugin n = 1/3

f(n) = 3n

 [tex]f(\frac{1}{3})=3*\frac{1}{3} = 3[/tex]

Can someone please help me on these 3 equations please HELP ME !!!

Answers

√150=12.24√72=8.48√63=7.93

please mark this answer as brainlist

How much is $100 USD in cross water dollars

Answers

Answer:

62034.74

Step-by-step explanation:

Answer:

62034.74  use a converter

Step-by-step explanation:

Will Mark Brainlest Help pls​

Answers

Answer:

Hello,

[tex]\begin{bmatrix}-2&2\\3&5\\\end{bmatrix}\\\\[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}2&3\\5&7\end{bmatrix}-A=\begin{bmatrix}3&1\\-2&-3\end{bmatrix}+\begin{bmatrix}1&0\\0&1\end{bmatrix}\\\\\\\begin{bmatrix}2&3\\5&7\end{bmatrix}-A=\begin{bmatrix}2&3\\5&7\end{bmatrix}-\begin{bmatrix}4&1\\-2&-2\end{bmatrix}\\\\\\A=\begin{bmatrix}-2&2\\3&5\end{bmatrix}\\\\[/tex]

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