What is the simplest form of the quotation simplify by rationalizing the denominator

Answers

Answer 1

Answer: below

Step-by-step explanation:

So, in order to rationalize the denominator, we need to get rid of all radicals that are in the denominator.

Step 1: Multiply numerator and denominator by a radical that will get rid of the radical in the denominator. ...

Step 2: Make sure all radicals are simplified. ...

Step 3: Simplify the fraction if needed.


Related Questions

If you were to solve the equation x+14=22, what steps would you take to solve this equation?​

Answers

subtract 14 from 22 to isolate the variable

Which of the following graphs represents the solution to the following system
of inequalities?
3x + 4y <12
2x - y24

Answers

Answer:

I am pretty sure it is most likely answer D.

Step-by-step explanation:

Hope this helps! Have a great day and good luck!

problem: which of the expression(s) below is greater than 5/2? Select all that apply

A) 2/5 ÷ 4/3

B) 4/3 ÷ 1/3

C) 5/3 ÷ 1/2

Answers

Answer:

C) 5/3 divided by 1/2

Step-by-step explanation:

5/2 = 2.5

A. 2/5 divided by 4/3 = 0.3

B. 4/3 divided by 1/3 = 1

C. 5/3 divided by 1/2 = 3.333

3.333 is bigger than 2.5

:)

Which of the following integers is a solution to the inequality below?

-3x - 7 ≤ -7x - 27

Select one:
a. -6
b. 1
c. -3
d. 4

Answers

I am not sure, but I checked my answer and I am right. Hope this helps, thank you :) !!

pls helpp mee!!!!! pleaseee

Answers

Answer:

it is 5 inches squared

Step-by-step explanation:

1 inches. sjwjqkqkwjhed

Evaluate -2x+6y when x= -3 y=-1

Answers

Answer:

0

Step-by-step explanation:

Substitute x for -3 and y for -1:

= -2(-3) + 6(-1)

= 6 + -6 (or 6 - 6)

= 0

1 2/3 +(-2/5) as a fraction

Answers

As a fraction it is 1 4/15
In decimal it is 1.266 repeat

what is the decimal equivalent of 8/12

Answers

Answer:

0.666 repetitive, or 0.67

Step-by-step explanation:

According to the graph, what is the experimental probability of selecting the letter C?

Number of occurrences of letters


16.7%


24%


16%


20%

Answers

Answer:

16%

Step-by-step explanation:

50 events and C shows 8

50/8 = 16%

Answer:

The Answer is 0.16 = 16%

-7 1/3 divided by 4 1/4 in mixed number.

Answers

Answer:

1 37/51

Step-by-step explanation:

Calculate the volume of the cylinder: 10 yd 7 yd
Round to nearest tenth
WILL MARK AS BRAINLIEST ​

Answers

Answer:

The answer is 384.85 yd       to the power of 3

Step-by-step explanation:

πr2h

=  π×3.52×10

=  122.5π

=  384.85

The volume of the given cylinder would be 384.65 cubic yards.

What is the volume of cylinder?

The volume of cylinder is given by -

V = πR²h

Where -

R - Radius of the cylinder

h - height of the cylinder

Given is to calculate the volume of the cylinder with height 10 yd and diameter 7 yd.

For the given cylinder, we have -

Radius of the cylinder : 7/2 = 3.5 yd

Height of the cylinder : 10 yd

So, we can write the volume of the cylinder as -

V = πR²h

V = 3.14 x 3.5 x 3.5 x 10

V = 384.65 cubic yards

Therefore, the volume of the given cylinder would be 384.65 cubic yards.

To solve more questions on cylinders, visit the link below-

https://brainly.com/question/16134180

#SPJ2

I need to find the missing side given the area

Answers

Answer:

4

Step-by-step explanation:

The formula to the area of a triangle is 1/2(base) * height. Since it is asking to find the height and you are given the base, you need to solve:

1/2(6) * x = 12

multiply: 3x = 12

divide: x = 4

It takes 80 oz of grass seed to seed 5600 ft? of lawn. At this rate, how much would be needed for 8400 ft of lawn?

Answers

Answer:

120 oz

Step-by-step explanation:

5600/80 = 70 rate

8400/ 70 = 120 oz

f(x)= 2/x-2 find (fof) (i)

Answers

Answer:

Step-by-step explanation:

cant see pic


Need help with it today

Answers

Answer:

C

Step-by-step explanation:

s - 7 + 5

s - 2

All 30 pupils in a class took part in a sponsored spell to raise money for charity. The pupils were expected to get an average of 14 spellings cprescr each. The average amount of sponsorship was 20 pounds for each correct spelling. How much money would the class expect to raise for charity altogether? Give answer in pounds

Answers

Answer: £84

Step-by-step explanation:

The number of pupils in the class is 30, and the average number of correct spellings for each pupil is 14.

The total expected correct spellings is 30 x 14 = 420 spellings.

The average sponsorship for each correct spelling is 20p which = £0.20.

Therefore, the number of pounds the class is expected to raise for charity is 420 x 0.20 = £84.

Number of pounds the class is expected to raise for charity is 8400 pounds.

What is multiplication?

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

Number of pupils in the class = 30

Average number of correct spellings for each pupil = 14.

The total expected correct spellings is 30 x 14 = 420 spellings.

The average sponsorship for each correct spelling is 20 pounds

The number of pounds the class is expected to raise for charity is 420 x 20 = 8400 pounds

Thus, number of pounds the class is expected to raise for charity is 8400 pounds.

Find out more information about multiplication here

https://brainly.com/question/14059007

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Match the labeled points on the graph to statements about their coordinates Two numbers with a sum of 2

Answers

Answer:

see explanation!

Step-by-step explanation:

Line N

A set of points where the coordinates of each point have a sum of 2

Line M

A set of points where the y-coordinates of each point is 10 less than its x-coordinate

Any coordinate on N has a sum of 2.

Any coordinate on M has a y that is 10 less than the x.

The matching of the given labeled points provided on the graph regarding their statements would be as follows:

Line n - A set of points where the coordinates of each point have a sum of 2 Line m - A set of points where the y-coordinate of each point is 10 less than the x-coordinate.

The points that line m represent would be:

Point E  [tex](13, 3)[/tex]

Point B  [tex](6, -4)[/tex]

Point D  [tex](2, -8)[/tex]

The points signalled by line n are as follows:

Point A [tex](-2, 4)[/tex]

Point B  [tex](6, -4)[/tex]

Point C  [tex](12, -10)[/tex]

Now, if we solve for lines

Line m

[tex]x_{1} + y_{1} \\= 13 + 3\\= 16[/tex]

While for Line n

Point A

[tex](x_{1} + y_{1}) = (-2 + 4) \\= 2[/tex]

Point B

[tex]x_{2} + y_{2} = 6 + (-4) \\= 2[/tex]

Thus, the correct match would be as above.

Learn more about "Coordinates" here:

brainly.com/question/16634867

Find the equation of the function in the graph

A) y=x

B) y=|x|

C) y=x3

D) y=x2

Answers

Answer:

D

Step-by-step explanation:

it is a graph of [tex]x^{2}[/tex]

Answer:

D.) y=x2

Step-by-step explanation:

Look in pic above, on EDGE NUITY I always used to graph to find the answer

Jack had 3 bottles of soda. Each bottle held 2 1/2 cups of soda. How many cups of soda did he have total?

Answers

Answer:

1 1/5 cups of soda.

Step-by-step explanation:

To solve this you need to change 3 and 2 1/2 into improper fractions so you get 6/2 and 5/2. Then you have to flip 5/2 so it becomes 2/5 and then you just have to cross cancel. Since the 2 from 2/5 can go into the 2 in 6/2 one time, 2/5 changes into 1/5 and 6/2 changes to 6/1. Now you can multiply across so 6 times 1 is 6 and 1 times 5 is 5 so you get 6/5. Now you have to change it into a mixed number which would be 1 1/5.

I hope this helps you :D

An employee at a gift shop earns $72.00 for working 9 hours. At this hourly rate, what should the employee earn for a 40-hour work week?

Answers

Answer:

The employee would earn $320 for a 40-hour work week.

Step-by-step explanation:

Given

Total Earning amount = $72.00Total Time taken = 9 hours

To determine

We have to find the employee's earning earn for a 40-hour work week.

First Step

Determining the hourly rate

In order to determine the hourly rate, the first step we need to do is to divide the earning amount by the total number of hours.

Hourly rate = Total Earning amount / Total Time taken

                   = $72.00 / 9 hours

                   = $8.00 per hour

Second Step

Determining the employee's earning earn for a 40-hour work week.

As we have already determined that employee is earning $8.00 per hour.

i.e.

Hourly rate = $8.00 per hour

In order to determine the employee's earning for a 40-hour work week, all we need is to multiply the hourly rate i.e. 8 with 40.

Thus,

Earning for 40-hour work week = Hourly rate × 40

                                                     = 8.00 × 40

                                                     = $320

Therefore, the employee would earn $320 for a 40-hour work week.

Maricela has a 32 ounce drink. She drink 8 ounces. What is the percent of ounces Maricela left from the drink

Answers

Answer:

The percent she has left in the drink is 75%

Step-by-step explanation:

1 minus [tex]\frac{8}{32}[/tex] equals [tex]\frac{24}{32}[/tex] which simplifies to [tex]\frac{3}{4}[/tex] or 75%.

points lol 3929292910100100102

A utility company might offer electrical rates based on time-of-day consumption to decrease the peak demand in a day. Enough customers need to accept the plan for it to be successful. Suppose that among 50 major customers, 15 would accept the plan. The utility selects 10 major customers randomly (without replacement) to contact and promote the plan. a. What is the probability that exactly two of the selected major customers accept the plan

Answers

Answer:

0.2406 = 24.06% probability that exactly two of the selected major customers accept the plan

Step-by-step explanation:

The customers are chosen without replacement, which means that we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

50 major customers, 15 would accept the plan.

This means that [tex]N = 50, k = 15[/tex]

The utility selects 10 major customers randomly (without replacement) to contact and promote the plan.

This means that [tex]n = 10[/tex]

a. What is the probability that exactly two of the selected major customers accept the plan

This is P(X = 2).

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,50,10,15) = \frac{C_{15,2}*C_{35,8}}{C_{50,10}} = 0.2406[/tex]

0.2406 = 24.06% probability that exactly two of the selected major customers accept the plan

Elena went 60 meters in 50 seconds. Noah went 50 meters in 10 seconds. Elena and Noah both moved at a constant speed. Who went faster? Explain your reasoning.

Answers

Noah because he went way faster

Find f(-4) for f(x)=x^4-7x^2-12

Answers

the answer is f(x)=132

Factor

x2 + 10x + 25

Answers

x=-5 i hope this helpsss

Answer:

(x+5)(x+5)

Step-by-step explanation:

x²+10x+25

25

/ \

+5 and +5

(x+5)(x+5)

if you dont understand. I recommend this video https://youtu.be/yBCAv_NzzPQ

at 10:21

How many terms are in the following expression:
2x3 + 3x2 + 2 - 1
A. 1
B. 4
C. 6
D. 11

Answers

Answer:4

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The numbers are the terms

6 numbers 6 terms

What % of $10 = $2??????

Answers

Answer:

20% of 10= 2 is the answer

hope this helps!

help!!! Pleasee thank youuuu

Answers

Answer:

a

Step-by-step explanation:

it is the reflection or mirror image

The midpoint of CD is M=(1, 2). One endpoint is C = (6, -2).
Find the coordinates of the other endpoint, D.

Answers

Answer: Endpoint = (-4,6)

Step-by-step explanation:

To find any endpoint use the formula [tex]\frac{x_1+x_2}{2} = Xmp[/tex]    [tex]\frac{y_1+y_2}{2} =Ymp[/tex]

[tex]\frac{6+x_2}{2} = 1[/tex]          [tex]\frac{-2+y_2}{2} =2[/tex]    

multiply each by 2  to simplify

[tex]\frac{6+x_2}{2*2} = 1*2 = {6+x_2}= 2[/tex]    [tex]\frac{-2+y_2}{2*2} =2*2 = -2+y_2=4[/tex] take the equations and simplify

6+[tex]x_{2}[/tex] = 2                          -2+[tex]y_{2}[/tex] = 4  =  

-6       -6                          +2       +2

   [tex]x_{2}[/tex] = -4                               [tex]y_{2}[/tex] =  6

To check use the Midpoint formula

[tex]\frac{-4+6}{2} , \frac{6-2}{2} = \frac{2}{2} , \frac{4}{2} = (1,2)[/tex]

A computer is on sale for 25% off. If the sale price is $449, what was the original price?

Answers

Answer:

discount=25%

selling price=$449

original price=?

Step-by-step explanation:

we have

original price=selling price + discount% of original price

original price-discount% of original price=$449

original price (1-25/100)=$449

original price=$449/0.75=$598.66

Other Questions
Your sister has gained adminission into your former school write a letter her information about the school and advise her on how to behavior well in school The Industrial Revolution led to _____________, or the growth of cities due to movement of people from rural areas to cities. Maria has two routes, E and W, she can take when commuting to work. Both routes go through a railroad crossing, and sometimes she needs to stop at the crossing to allow trains to pass. She claims that the proportion of times she needs to stop when taking route E is different from the proportion of times she needs to stop when taking route W. She conducted the following hypothesis test at the significance level of =0.10.H0: pE=pWHa: pEpWIn the hypotheses, pE represents the proportion of times she needs to stop at the crossing when using route E, and pW represents the proportion of times she needs to stop at the crossing when using route W.All conditions for inference were met, and the resulting p-value was 0.37. Which of the following is the correct decision for the test?The p -value is less than alpha , and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes.The p -value is greater than alpha , and the null hypothesis is not rejected. There is convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is the same for the different routes.The p -value is greater than alpha , and the null hypothesis is rejected. There is not convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes.The p -value is greater than alpha , and the null hypothesis is not rejected. There is not convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes.The p-value is greater than , and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes. What is the value of x that makes this figure correct? * What is the slope of the line that passes through the points (-6, -7) and(-24. - 7)? Write your answer in simplest form. it is called "the age of reason" Each of the letters of the word MISSISSIPPI are written on separate pieces of paper that are then folded, put in a hat, and mixed thoroughly. One piece of paper is chosen (without looking) from the hat. What is the probability it is an I? *2/51/34/111/4 First determine the integers the x-coordinate and the y-coordinate are between. Then look at each to decide which integer the x- or y-value is closer to, and approximate the coordinate value to the tenths place. 1. Usteda estudiporquetiene una prueba.2. Ellosde bebun refresco can someone please help ? (: why in the heck do we run out of answers HELPPP PLSSSS IM FAILING MATHHHH PLSSS :((( Candidate B recieved 5 times as many votes as Candidate A. Whats the ratio of votes for Candidate B to votes for Candidate A? Steve had 48 chocolates but decided to give 8 chocolates to each of his coworkers,How many chocolates does Steve have left?Wite your answer as an expressionchocolates Identify the relationship in each figure according to the following descriptions Read this excerpt from "The Piata." The paste cracked and flaked on my arms and hands from the heat of the garage. The old man pulled a small pocket knife from his back pocket. He cut open the jugs and taped the balloons to them to make a piata form. He looked at me once more, and I knew what to do next. I returned to the bucket full of paste and handed him strip after sticky strip. Why does the author include this imagery? It shows the narrator's pride in his craftsmanship. It reveals the uncomfortable, tedious nature of the routine. It illustrates the loving bond between grandfather and grandson. It proves the grandfathers unkindness to his family memb 15 points for this question The Commutative Property states that the order of terms in an expression does not affect the outcome. Which of the following operations does the Commutative Property apply? select all that apply A. addition B. subtractionC. multiplicationD. division This is a re-post please help me Many popular brands of toothpaste contain about 1.00 mg of fluoride per gram of toothpaste. The fluoride compound that is most often used in toothpaste is sodium fluoride, NaF, which is 45% fluoride by mass. How many milligrams of NaF are in a 250.0 g tube of toothpaste