2./10
To rationalize the denominator of
311
you should multiply the expression by which fraction?

Answers

Answer 1

Complete Question:

To rationalize the denominator of 2√10/3√11 , you should multiply the expression by which fraction?

Answer:

Multiply by [tex]\frac{\sqrt{11}}{\sqrt{11}}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2\sqrt{10}}{3\sqrt{11}}[/tex]

Required

To rationalize

To do this, we simply multiply the expression by the fraction of [tex]\frac{\sqrt{11}}{\sqrt{11}}[/tex]

This gives:

[tex]\frac{2\sqrt{10}}{3\sqrt{11}} * \frac{\sqrt{11}}{\sqrt{11}}[/tex]

[tex]\frac{2\sqrt{10 * 11}}{3\sqrt{11 * 11}}[/tex]

[tex]\frac{2\sqrt{110}}{3\sqrt{121}}[/tex]

Express [tex]\sqrt{121[/tex] as 11

[tex]\frac{2\sqrt{110}}{3*11}[/tex]

[tex]\frac{2\sqrt{110}}{33}[/tex]

Hence:

[tex]\frac{2\sqrt{10}}{3\sqrt{11}}[/tex] = [tex]\frac{2\sqrt{110}}{33}[/tex]


Related Questions

Hot dogs come in packs of 12. Buns come in packs of 16. What is the fewest number of hot dogs or buns you can buy to have the same number of each?​

Answers

This is LCM problem

So,

12: 12, 24, 36, 48, 60

16: 16, 32, 48, 64, 80

LCM( least common multiple Is 48

Hope this helps

plz i need help with this

Answers

Answer:

congruence, corresponding,sum of 180

3. Determine whether the set of numbers can be the measures of the sides of a triangle. If so, classify the triangle as acute, obtuse, or right. 16, 30, 33

Answers

Answer:

all of them are acute

.......

Answer:

yes. it will be an acute.

how to graph g(x) = 3f(x) when f(x) = x

Answers

Step-by-step explanation:

f(x) = x

g(x) =3x

point if intersection

f(x) =g(x)

x = 3x

A rectangle has a length of x+ 4 centimeters and a width of x centamentere the perimeter of the rectangle is 28cm what is the value of x

Answers

Answer: The perimeter of the rectangle is 28 centimeters.

Step-by-step explanation: I hope this helps-

Answer:

x=10

Step-by-step explanation:

x+4+x=24

2x=20

x=10

Find (f/g)(x)
f(x)=√ x^2-1
g(x)√ x-1

A. √ x+1
B. √ x-1
C.√ -x^2/-x+1
D.√ 1/x+1

Answers

Answer:

option A is the Answer

Step-by-step explanation:

hope it helps

Using the diagram, find the measure of the angle indicated in bold.

A 95
B 110
C 120
D 130

Answers

I believe it would be C not 100% sure but hope this helped! :)

pls ANSWERRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR

Answers

Hi there!

[tex]\large\boxed{ 9.4m}[/tex]

Find the perimeter using the formula:

P = 2l + 2w

It is given that the dimensions are 2.8 × 1.9 so plug these number into the equation:

P = 2(2.8) + 2(1.9)

P = 5.6 + 3.8

P = 9.4m

Josh buys cucumbers that cost $0.62 per pound. He pays $2.79 for the cucumbers. How many pounds of cucumbers does Josh have?​

Answers

Answer:

Josh bought 4.5 pounds of cucumbers.

Step-by-step explanation:

2.79 divided by the cost per pound, .62, is 4.5. Therefore he bought 4.5 pounds of cucumbers

Find the value of X algebraically. Show your work.​

Answers

Answer: 21

Step-by-step explanation:

We know 9x - 56 is equal to 6x + 7

So:

9x - 56 = 6x + 7

Add 56 to each side

9x = 6x + 63

Subtract 6x from each side

3x = 63

Now divide each side by 3

x = 21

A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examining the records for all the students, the dean who randomly selects 76 students and finds that 58 out of 76 are receiving financial aid. Calculate the standard error of your estimate. 3.7061

Answers

Answer:

 Standard error (S.E) =  0.048  ≅ 0.05

Step-by-step explanation:

Explanation:-

Given  sample size 'n'=76

Given the dean who randomly selects 76 students and finds that 58 out of 76 are receiving financial aid.

Sample proportion

                         [tex]p = \frac{x}{n} = \frac{58}{76} = 0.7631[/tex]

The standard error is determined by

                     [tex]S.E = \sqrt{\frac{p(1-p)}{n} }[/tex]

                     [tex]S.E = \sqrt{\frac{0.763(0.2369}{76} }[/tex]

  Standard error is 0.048  ≅ 0.05

Match each set of numbers with their least common multiple.

Answers

Answer:

25 and 8) = 200

(32,24 and 18) =288

(22 and 4)=44

(14 and 12) = 84

(9,8 and 7)= 504

(27,12 and 36) =108

Answer:

  top down: 200, 288, 44, 84, 504, 108

Step-by-step explanation:

The least common multiple (LCM) can be figured a couple of ways.

a) factor the numbers, then form the product of unique factors (to their highest powers)

b) divide the product of the numbers by their greatest common factor (GCF). Factoring or Euclid's method can be used to find the GCF.

When there are more than two numbers, the LCM can be figured for two of them, then for that result and the next number, and so on.

__

25 and 8 have no common factors, so their LCM is their product: 200

__

32 and 24 have 8 as their GCF, so their LCM is 32·24/8 = 96. 96 and 18 have 6 as their GCF, so their LCM is 96·18/6 = 288

__

22 and 4 have 2 as their GCF, so their LCM is 22·4/2 = 44

__

14 and 12 have 2 as their GCF, so their LCM is 14·12/2 = 84

__

9, 8, 7 have no common factors, so their LCM is their product: 9·8·7 = 504

__

27 and 12 have 3 as their GCF, so their LCM is 27·12/3 = 108. 108 is a multiple of 36, so their LCM is 108.

Pls help me answer this question for my homework

Answers

Answer:

4

Step-by-step explanation:

2 goes to both A and B which makes it not a function because if I remember right the domain isnt allowed to repeat.

Help with quadratic! Really struggling with this

Answers

Answer:

Step-by-step explanation:

The equation

[tex]G(h)=-3h^2+24h+47[/tex]

represents the grade you are going to earn which is represented by G(h) where h in the equation is the hours you study the week before.

Part A) Is totally up to you because in the question it asks What's the best possible grade you can earn with your current study habits lets say if you study around 4 hours the week before the test. Which means the value of h should be 4 because h represents hours in the equation.

so ,

[tex]G(h)=-3h^2+24h+47\\G(4)=-3(4)^2+24(4)+47\\G(4)=-48+96+47\\G(4)=95\\[/tex]

So if you studied for 4 hours the week before the test you are going to score 95 marks which would be an A* grade.

Part B) In this part it asks you the maximum amount of study time you will need to have to earn that grade which means how many maximum hours you would need to earn a total of 95 marks which is 4.

Part C) The y-intercept is the constant in the equation in this case +47 is y-intercept and in the context of the problem it denotes that if you studied for 0 hours you would still earn 47 marks on the test, which would result you failing the test.

Part D) How many hours would you need to complete and still earn a zero would be:

[tex]G(h)=-3h^2+24h+47\\-3h^2+24h+47=0[/tex]

because it says still earn a zero which means the grade is zero so now we solve the equation.

[tex]-3h^2+24h+47=0\\3h^2-24h-47=0\\[/tex]

using the quadratic formula we get two values for h which are

h = 9.627 and h = -1.627 so eventually hours can never be in negative its impossible you can't study for -1.627 so our answer is 9.627 hours and you would still earn a zero after studying approximately 9.6 hours.

Part E) The grade that you will earn if you studied for 5 hours is:

[tex]G(h)=-3h^2+24h+47\\G(5)=-3(5)^2+24(5)+47\\G(5)= -75+120+47\\G(5)=92\\[/tex]

You would earn 92 marks which would result in an A* grade

Answer:

(A) 95

(B) h=4

(C) 47, represents 0 hours of study

(D) h=9.63

(E) 92

Step-by-step explanation:

(A) They are asking for the maximum of the graph of the equation which can be found using the vertex formula:

[tex]max= c-\frac{b^2}{4a}[/tex]

where 'a' is the coefficient of the first term, 'b' is the coefficient of the second term and 'c' is the third term.

So we have:

[tex]max=47-\frac{(24)^2}{4(-3)} = 95[/tex]

(B) To find the hours of study required to get 95 we need to set the equation equal to 95:

[tex]-3h^2+24h+47=95[/tex]

which can be rewritten as:

[tex]-3h^2+24h+47-95=0[/tex]

or

[tex]-3h^2+24h-48=0[/tex]

When we solve for 'h' we get h = 4

Therefore, studying 4 hours gives us a grade of 95, which is the maximum score from the equation.

(C) The function G(h) is our y and h is our x values. To find the y intercept, x (which is h in the equation) must be set to 0 and solved for y. This is because the y intercept is at the point where x =0.

So we have:

[tex]G(h)=-3(0)+24(0)+47\\ =0+0+47\\ =47[/tex]

This is when h=0 and therefore is represents the grade when 0 hours of studying is done.

(D) To find how many hours of study can still produce a grade of 0, we need to set the function equal to 0 and solve for h.

[tex]-3h^2+24h+47=0\\[/tex]

This gives us two results when solved quadratically:

[tex]h=-1.63[/tex] and [tex]h=9.63[/tex]

Obviously, time cannot be negative so the answer is 9.63 hours.

(E) If we study for 5 hours, h should be equal to 5.

So substituting 5 for h we get:

[tex]-3(5)^2+24(5)+47=92[/tex]

So 5 hours of study affords us a grade of 92.

Hope that explains it.

QUICK HELP HURRY MAKRIMG PIEPLE AS BRIANLDIT

Answers

Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

For f(x) = -5x + 10, what is the value of x for which f(x) = 35?

Answers

Answer:

x= -5

Step-by-step explanation:

f(x) = -5x +10

plug in 35 for f(x)

35= -5x +10

ten move 10 to the other side

25= -5x

then divide by -5

-5 = x

HELP ME! HELP! PLEASE HELP ME!!!

Answers

Answer:

Step-by-step explanation:

The answer is 12 units

12 units is your answer

Will give brailyest!!!!

what makes farming possible in Central Asia's dry climate?

a. annual floods.
b. irritation systems
c. seasonal droughts
d. tropical storms​

Answers

Answer:

I think its a

Step-by-step explanation:

Answer: B

Step-by-step explanation: EDGE 2021

HELLP HELP PLSSSSSSSSSS
HELP

Answers

55%. 40-18=22 and 22 of 40 is 55%

helpppppp now plssss​

Answers

Answer:

translation of four units up

Step-by-step explanation:

Answer:

A. translation of 4 units up

Step-by-step explanation:

Take one point from each line, for example:

f(x): (0, 1)g(x): (0, 5)

The y-values of these points are 5 points apart, therefore, f(x) was translated 4 units up to get g(x).

Given the side lengths 9.5 cm, 7.5 cm, and 10 cm, can they form a triangle and if so, what type of triangle?

Answers

Answer:

this number 6

Step-by-step explanation:

yes self 4

Answer:

yes

Step-by-step explanation:

because if you add correctly you will get the answer

Using Newton-Raphs
f (x) = 2x3 + x2 - x + 1 accurate to within 10-4​

Answers

Answer:

2x3+x2−x+1x

Step-by-step explanation:

Let's solve for f.

fx=2x3+x2−x+1

Step 1: Divide both sides by x.

fx=2x3+x2−x+1x

fx=2x3+x2−x1x

Answer:

9514 1404 393

Answer:

  -1.2338

Step-by-step explanation:

The graph shows the one real root is about -1.234. The Newton's method iterator is ...

  new x = x - f(x)/f'(x) . . . . . where f'(x) is the derivative of f(x)

Many graphing calculators provide a derivative function, so the iteration equation can be evaluated more or less directly by the calculator. In the attached, we have shown a table with three iterations of the root. After the second iteration, the root is good to 4 decimal places.

  x ≈ -1.2338

Need help!!!!!!!!!!!!!

Answers

Answer:

25 units (cant see what it says on the side :/ ) per hour

Step-by-step explanation:

hope this helps <3

which type of plate boundary is illustrated in each of the following figures below​

Answers

Answer:

SEXXXXXXXZZZZZz

Step-by-step explanation:

AJ is writing a report about Calvin Coolidge. He's including information about the former president's early days. Should he quote directly from a biography of Coolidge or paraphrase the information? Why?️

What is the opposite of the opposite of -1.4?

Answers

Answer:

1.4

Step-by-step explanation:

when we add -1.4 and 1.4 we get zero so its the opposite

IF CORRECT I WILL GIVE BRAINLIEST!!

Answer is not 9. IDK THE ANSWER. The last few problems everybody is saying it is 9.

Please help me do this problem!

Screenshot below!

Answers

Answer:

2

Step-by-step explanation: I'm not very smart, nor do I understand this, so it's probably wrong but I'm just trying to help

Subtract.
8/9-1/3
Need help!

Answers

Answer:

5/9

Step-by-step explanation:

the common denominator is 9.

multiply 1/3 by 3

8/9 minus 3/9

5/9

The correct answer would be B: 5/9

2) For 9 cows, 13 kg 500 g of food supplement are required every day.
In the same proportion, how much will be needed for 12 cows?​

Answers

Answer:

18 kg

Step-by-step explanation:

We can use a proportion.

First, 13 kg 500 g = 13 kg + 500 g = 13 kg + 0.5 kg = 13.5 kg

Proportion:

9 cows is to 13.5 kg as 12 cows is to x

9/13.5 = 12/x

Cross multiply.

9x = 13.5 * 12

Divide both sides by 3.

3x = 4.5 * 12

Divide both sides by 3.

x = 1.5 * 12

x = 18

Answer: 18 kg

What type of triangle is this?
Options:
-SSS
-SAS
-AAS
-ASA
-HL
-Not Possible

Answers

Answer:

ASA

Step-by-step explanation:

As two lines are parallel, alternate interior angles will be congruent and the side between them is common.

So, ASA congruent

What is 820 milliliters equal to in liters?

Answers

Answer:

0.82 L

Step-by-step explanation:

Answer: 0.82 liters

Step-by-step explanation:

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