Without using a calculator, order the following expressions from least to greatest.
11/3, square root 20, square root 17

Without Using A Calculator, Order The Following Expressions From Least To Greatest.11/3, Square Root

Answers

Answer 1

Answer:

[tex]\displaystyle \large{\frac{11}{3} < \sqrt{17} < \sqrt{20}}[/tex]

Step-by-step explanation:

( 1 ) 11/3

[tex]\displaystyle \large{\frac{11}{3}}[/tex] can be converted to mixed fractions to [tex]\displaystyle \large{3\frac{2}{3}}[/tex]

Therefore, 11/3 is at least around 3, almost 4. It could be more than 3.5 by approximation but not exactly 4.

( 2 ) √20

[tex]\displaystyle \large{\sqrt{20}=\sqrt{5\cdot 4}}\\\displaystyle \large{\sqrt{20}=\sqrt{5\cdot 2\cdot 2}}\\\displaystyle \large{\sqrt{20}=2\sqrt{5}}[/tex]

We know that [tex]\displaystyle \large{\sqrt{4}=2}[/tex] so [tex]\displaystyle \large{\sqrt{5} > \sqrt{4}}[/tex] which means approximately, [tex]\displaystyle \large{\sqrt{20}}[/tex] can be either at least 4.3 up to 4.4

( 3 ) √17

We know that [tex]\displaystyle \large{\sqrt{16} = 4}[/tex] so [tex]\displaystyle \large{\sqrt{17}}[/tex] can be at least 4.1 up to 4.2, but it’s obvious that the square root of 17 is less than square root of 20 since [tex]\displaystyle \large{\sqrt{a} > \sqrt{b}}[/tex] for a > b

Hence, from least to greatest:

[tex]\displaystyle \large{\frac{11}{3} < \sqrt{17} < \sqrt{20}}[/tex]


Related Questions

i’m struggling and my brain won’t work right now help

Answers

Answer:

10sr2 or 14.1421356

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

if the triangle is an Isosceles triangle, then it's other two angles measure 45° each.

So, let's use Trigonometry here :

[tex]\qquad \sf  \dashrightarrow \: \cos(45) = \dfrac{10}{x} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{ \sqrt{2} } = \dfrac{10}{x} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 10 \sqrt{2} [/tex]

Therefore, the value of x is 10√2 units

John went to his local zoo where 50% of it's exhibits featured whales. if the zoo feature 24 exhibits in total, then how many zoo's exhibits feature whales?round your answe to the nearest whole number.

Answers

Answer:

12

Step-by-step explanation:

if 50% of it's exhibits feature whales, and they have 24 exhibits, then the answer would be 12. Remember, 50% means one half, and one half of 24 is 12. There is no need to round to a whole number because 24 is not an odd number.

(4.5 x 10^9) + (4.5 x 10^-4)

Answers

This should be the correct answer,
4.5×10^9x + 0.00045x

Also, some good free calculators that can help with problems like this would be c y m a t h and m a t h w a y .

Find the measure of angle x.
155° X x
x = [?]
? "

Answers

Answer:

x = 155°

Step-by-step explanation:

This is called a vertically opposite angle.

simplify exponents please! need the answer immediately.

Answers

Answer:

[tex]\frac{w^{6} }{9 }[/tex]

Step-by-step explanation:

Given

[tex]\frac{3^{-2}*k^{0}*w^{0} }{w^{-6} }[/tex]

Remember :

Any term raised to the power 0 is equal to 1

Solving

[tex]\frac{3^{-2} }{w^{-6} }[/tex][tex]\frac{w^{6} }{9}[/tex]

Answer:

[tex]\huge\boxed{\bf\:\frac{w^{6}}{9}}[/tex]

Step-by-step explanation:

[tex]\frac{ 3 ^ { -2 } \times k ^ { 0 } \times w ^ { 0 } }{ w ^ { -6 } }[/tex]

Any number with 0 as its exponent will be equal to 1. So,

[tex]\frac{3^{-2} \times 1 \times 1}{w^{-6}}\\= \frac{3^{-2}}{w^{6}}[/tex]

Now,

[tex]\frac{3^{-2}}{w^{6}}\\= 3^{-2}w^{6}[/tex]

Then,

[tex]3^{-2}w^{6}\\= \frac{1}{3^{2}}w^{6}\\= \frac{1}{9}w^{6}\\= \boxed{\bf\:\frac{w^{6}}{9}}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Which table represents a relation that is not a funtion?

Answers

Answer:

D

Step-by-step explanation:

because in D one input value (3) has 2 different assigned output values (0 and -4).

that violates the definition of a function, where every input value must have exactly 1 assigned output value (but the output values themselves don't have to be different for different input values, so, e.g. A is still a function).

Estimate
10
12

3
8
using benchmark values. Your equation must show the estimate for each fraction and for the solution.

Answers

Answer:

The bench mark values might be 10/120 - 30/80

Step-by-step explanation

Consider the quadratic equation x3 = 48-5. How many solutions does the equation have?

Answers

Answer:

 you would  have 84-.10 I think

Step-by-step explanation:

Im pretty sure there are 2 solutions

Which property of multiplication is shown below?

If x = a + bi and y = c + di, x × y = y × x.
commutative property
identity property
distributive property
associative property

Answers

Answer:

Commutative property

Step-by-step explanation:

Commutative property: In multiplication, when the order of the two numbers are changed, then it doesnot affect the end result.

Answer:

A on edge 2022

find y and w
help please

Answers

Answer:

w = 12

y= 4sqrt2

Step-by-step explanation:

Find the area of the shaded polygon

Answers

Answer:

372

Step-by-step explanation:

area of trapezium = a+b/2 * h

a is the length on top

b is the length on the bottom

h is the height

7+24/2*24=

=372

If a=2, b= -1 and c=1, then find the value of:
A- a+b-c²
B- a³-b+c
C- a-b-c

Answers

Answer:

Step-by-step explanation:

A. 2 + -1 - 1^2 = 1 - 1 = 0

B. 2^3 - -1 + 1 = 8 + 1 + 1 = 10.

C. 2 - -1 - 1 = 2 + 1 - 1 = 2.

A- a+b-c²

=2+(-1-1)^2

=1-1

=0

B- a³-b+c

2^3-(-1+1)

=8+1+1

= 10

C- a-b-c

2-(-1-1)

=2+1-1

=2

Carlo puts tins into small boxes and into large boxes. He puts 6 tins into each small box. He puts 20 tins into each large box. Carlo puts a total of 3000 tins into the boxes so that number of tins in small boxes : number of tins in large boxes = 2:3 Carlo says that less than 30% of the boxes filled with tins are large boxes. Is Carlo correct? You must show all your working.

Answers

Answer:

No, he is not correct.

Step-by-step explanation:

Check the attachment.

What is the volume of a right circular cylinder with a diameter of 19.6 yd and a height of 23.52 yd?

Enter your answer in the box. Use 3.14 for pi and round only your final answer to the nearest hundredth.

Answers

Answer:

7092.82 cubic yards

Step-by-step explanation:

The volume of a right circular cylinder is given by:

V represents the volume of a cylinder.

r represents the radius of a cylinder.

h represents the height of a cylinder.

As per the given statement:

Diameter(D) = 19.6 yd and height(h) = 23.52 yd.

Diameter = 2r where r is the radius of the cylinder

Substitute these given values in [1] we have cubic yard

Simplify:

V = 7,092.82291 cubic yard.

Hope this helps!

PLASE HELP ASAP, brainly >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>


Use the system of equations to answer the following question:

2x - 5y = -6

2x - 7y = -14

Which ordered pair is the solution to the system?

Answers

I Hope That I Am Not To Late, But The Answer Is D (7,4) <3

Explanation

2 x 7 = 14

5 x 4 = 20

14-20= -6

>>>

2 x 7= 14

7 x 4 = 28

14-28= -14

X= 7 & Y=4

Once again sorry if i am late, if others come I hope this helps UwU

Create an equation to solve.

Answers

Answer:

x = 80 - 54

Explanation:

The whole angle is 80 degrees, and the other part is 54 degrees, so subtract 54 from 80 to get the other part (x).

Select all the expressions that are equivalent to the following calculation add 43 and 25 then multiply by 8.

Answers

Answer:544

Step-by-step explanation:43 + 25 = 68


68 × 8 = 544

The cylinder below is a storage tank for heating fuel. Which is closest to the amount of fuel the tank can hold?
A.151 ft³
B.226 ft³
C.301 ft³
D.452 ft³

Answers

Option C) 301 ft³ is the correct answer.

Hence, the closest to the amount of fuel the cylindrical tank can hold is 301 ft³.

This question is incomplete, the missing image is uplaoded along this answer.

Volume

Volume simply the amount of space enclosed within a container.

The volume of a cylinder can be expressed as;

V = πr²h

Where r is the radius of the base of the cylinder, h is its height and π is pi ( π = 3.14)

Given the data in the question;

Height of the cylinder h = 6ftRadius r = 4ftVolume of the cylinder V = ?

To determine the closest to the amount of fuel the tank can hold, we substitute our given values into the expression above.

V = πr²h

V = 3.14 × (4ft)² × 6ft

V = 3.14 × 16ft² × 6ft

V = 301.44ft³

V = 301 ft³

Option C) 301 ft³ is the correct answer.

Hence, the closest to the amount of fuel the cylindrical tank can hold is 301 ft³.

Learn more about volume of cylinder here: https://brainly.com/question/16788902

Write the equation of the line that passes through (0, 2) and (2, -4) in slope-intercept form.

Answers

[tex]\text{Given that,}\\\\(x_1,y_1) = (0,2)~~ \text{and} ~~ (x_2,y_2) =(2,-4)\\\\\text{Slope,}~~m = \dfrac{y_2 -y_1}{x_2 - x_1} = \dfrac{-4-2}{2-0}=-\dfrac 62 = -3\\\\\\\text{Equation with given points,}\\\\~~~~~~y-y_1 = m(x-x_1)\\\\\implies y-2 = -3(x-0)\\ \\\implies y-2 = -3x \\\\\implies y = -3x +2\\\\\text{This is the equation of line in slope- intercept form(y=mx+c).}[/tex]

NEED HELP ASAP
In 1997, a restaurant chain had a profit of $45,000. In 2005, the company had a profit of $2,605,000.
Find the average rate of change of the chain's profit in dollars per year.

Answers

Answer:

$320,000

Explanation:


Do number 9 please.

Answers

Let's first understand the information the problem gives us

⇒ 6000 nails were done

    ⇒ 2% of the 6000 nails were faulty

       ⇒ 2% is equivalent to 2/100

          ⇒ therefore 2/100 of 6000 nails were faulty

             ⇒ 2 out of every 100 nails were faulty

                 ⇒ written mathematically

                    [tex]Faulty-nails=\frac{2}{100}*6000 = 2 * 60 = 120[/tex]

Thus there were 120 faulty nails

Hope that helped!

Nick is having a birthday party. His mother said he must spend less than $42 on party favors and decorations. If all the decorations cost $21 and each favor is $3.50, how many favors can Nick buy?

Answers

Answer:6

Step-by-step explanation:

What you do is you divide 21 and 3.50 and that equals 6 so Nick can buy 6 favors under 42$. (I hope this helped if not then im sorry <3)

50 divided by 0.25 With solution.

Answers

Answer:200

Step-by-step explanation:

50x100/0.25x100 (to make it into non decimal no.)

5000/25=200

[tex]\dfrac{50}{0.25}\\\\\\=\dfrac{50}{\tfrac{25}{100}}\\\\\\=50 \times \dfrac{100}{25}\\\\\\=2 \times 100\\\\\\=200[/tex]

need answer please (distributive law) grade 9 mathematics​

Answers

Answer:

SEE ABOVE ATTACHMENT.

MARK AS BRAINLIAST

Answer:

[tex]7 {x}^{2} + 19x - 8 \\[/tex]

Step-by-step explanation:

[tex]2(3 {x }^{2} + 8x - 4) + x(x + 3) \\ 6 {x}^{2} + 16x - 8 + {x}^{2} + 3x \\ 6 {x}^{2} + {x}^{2} + 16x + 3x - 8 \\ 7 {x}^{2} + 19x - 8[/tex]

Which expression is equivalent to [tex]sin\frac{7\pi }{6}[/tex]?

Answers

Check the picture below.

notice, the pairs in the Unit Circle are the (cosine , sine) pair, which are equivalent to (x , y) values in a cartesian plane.

Answer:

D on edg 2022

Step-by-step explanation:

PLEASE HELP!!!!! I need to pass algebra

Answers

Answer:

C

Step-by-step explanation:

[tex]\bold{ANSWER:}[/tex]
OPTION C

[tex]\bold{EXPLANATIONS:}[/tex]

What is the result of adding these two equations?

2x+7y=4
-2x-8y=-2

Answers

Answer:

y=-2

Step-by-step explanation:

2x-2x=0

7y-8y=-y

4-2=2

-Y=2

Y=-2

After adding them together you should get -2

help please
i’ll give good rating

Answers

Answer:

closed circle means 10 is a possible answer

m is greater or equal to 10

it's the 1st and 4th options

Step-by-step explanation:

Answer:

m ≥ 10 and it's a closed circle that is a possible answer.

Step-by-step explanation:

Rules:

Open circle: < (going left) or > (going right)

Closed circle: ≤ (going left) or ≥ (going right)

Here, we have a closed circle at 10, going right (≥).

Therefore, the correct answers are: m ≥ 10 and it's a closed circle that is a possible answer.

This means that m is equal to 10, or any value that is greater than 10.

Hope this helps!

Scott is the owner of a tool and die shop. He has hired you to check his machine’s calibration prior to starting production on a large order. To check this, you set the machine to create 1.5 inch screws and manufacture a random sample of 200 screws. That sample of screws has an average length of 1.476 inches with a standard deviation of 0.203 inches.

Does this sample provide convincing evidence that the machine is working properly or should it be shut down for repairs? Justify your reasoning mathematically.

Answers

Using the t-distribution, it is found that we do not reject the null hypothesis, which is convincing evidence that the machine is working properly.

What are the hypothesis tested?

At the null hypothesis, it is tested if the mean is of 1.5 inches, that is:

[tex]H_0: \mu = 1.5[/tex].

At the alternative hypothesis, it is tested if it is different, hence:

[tex]H_1: \mu \neq 1.5[/tex].

What is the test statistic?

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.

In this problem, their values are:

[tex]\overline{x} = 1.476, \mu = 1.5, s = 0.203, n = 200[/tex].

Hence, the test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{1.476 - 1.5}{\frac{0.203}{\sqrt{200}}}[/tex]

[tex]t = -1.672[/tex]

What is the decision?

Considering a two-tailed test, as we are testing if the mean is diffrent of a value, with 200 - 1 = 199 df and a standard significance level of 0.05, the critical value is of [tex]|t^{\ast} = 1.972[/tex].

Since the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis, which is convincing evidence that the machine is working properly.

More can be learned about the t-distribution at https://brainly.com/question/16313918

Question 1 which of the following is the square of a binomial
a. M^2-2mn+n^2
b. c^2-cd+d^2
c. a^2+b^2
d. 4x^2-9y^2
Question 2
square the binomial (r+s). what is the result?​

Answers

Answer:

c just because

Step-by-step explanation:

just because

Other Questions
Judy Blume's career as an American writer spans four decades and includes many literary awards. She is most famous for her novels geared toward pre-teens. One notable example is Tales of a Fourth-Grade Nothing. However, Blume also has had success writing for an adult audience. Three of her novels for adults reached the New York Timesbest-seller list. In a 2008 interview Blume remarked, "I have so many stories left to tell!" By that time she had written nearly 30 novels. Judy Blume is an exceptionally talented and productive American author.How does the third sentence ("However, Blume also has. ...") support the main idea of the paragraph? (5 points)Group of answer choicesIt tells you that the author once wrote for children but has changed her focus and preference to adults.It tells you that the author has great talent because she writes good stories for children as well as adults.It points out that the author has written more books for children than she has written, or plans to write, for adults.It points out that the author only writes stories that she expects will win awards or sell well among adults. Muriel Evans writes the following note on the back of an envelope: "I, Muriel Evans, promise to pay Karen Marvin or bearer $100 on demand." Is this a negotiable instrument? Discuss why or why not. Help w this Ill give brainliest 1. Which elementof a short story refers to the time and location where the story happens? A rectangle has a length of 10 cm and a width of 7 cm. What is its perimeter?44 cm70 cm34 cm17 cm What is the MAD of these numbers: 52, 65, 63, 48, 52, 53, 60 Estimate 101238 using benchmark values. Your equation must show the estimate for each fraction and for the solution. explain which government does not truly get to decide how to spend all the money in its budget integrate the following by parts |x^2 e^2x dx What should I wear for "Tacky Tourist day" at school I don't want to look bad. I want to impress a boy. find the equation of the line drawn in the coordinate system below Part D Consider again the silent film adaptation of the story. What elements, such as acting, costumes, or music, stood out to you as being effective or ineffective in presenting this story? How many molecules of methane (CH4) do you need to burn in order to get 9.03 x 1023molecules of carbon dioxide (CO2)? Avogadro's number is 6.02 x 1023 molecules/mol.CH4 + O2 - CO2 + 2H2O What is the area of this figure? 4 cm 5 cm 5 cm Where is the Sun located? A. within a certain spiral arm of the Milky Way Galaxy B. many light years outside of the Milky Way Galaxy C. near the outermost edge of the Milky Way Galaxy D. near the center of the Milky Way Galaxy What is the difference between Indonesian, Chinese, and Japanese festivals? Enter a recursive rule for the geometric sequence.3, - 12, 48, - 192, .. Aashna thinks that the largest place value that 82.3 and 11.45 have in common is the tens place. Jake thinks that the largest place value they have in common is the tenths place.Answer the following questions with complete sentences:Who is correct, Aashna or Jake?Write how you would explain your answer to the person who answered incorrectly. Mr. Gonzales has only $42.50 to spend at a clothing store. He wants to buy a shirt that costs $29, including tax, and some bracelets that cost $4.50 each, including tax. Write an inequality to determine the maximum number of bracelets, b, Mr. Gonzales could buy. USE b, for your variable. Which substance is beneficial to the aquatic life?Dissolved OxygenPhosphatesSewagePlastic