Select the correct answer for how you would rationalize the denominator for 1/√3?

Answers

Answer 1

You would multiply top and bottom by [tex]\sqrt{3}[/tex] to go from [tex]\frac{1}{\sqrt{3}}[/tex] to [tex]\frac{\sqrt{3}}{3}[/tex]

Multiplying a square root by itself is the same as squaring the value.

So, [tex]\sqrt{x}*\sqrt{x} = (\sqrt{x})^2 = x, \ \ \text{ when } x \ge 0[/tex]

Which is why we're able to get rid of the square root in the denominator. The square root and squaring operation effectively cancel each other out.

Related Questions

Morgan fills a 1-liter jar with water from the pond. She uses a 100-milliliter cup to scoop water out of the pond and pour it into the jar. How many times will Morgan scoop water from the pond to fill the jar?

Answers

Answer:

Step-by-step explanation:

1 liter = 1000 ml1000 ÷ 100 = 10

I hope this helps!

what is 12 divided by 3 fourths

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

12/(3/4)

12/.75=16

A local ice cream shop had 320 customers in one day.
45% of those customers bought a waffle cone.
How many customers bought a waffle cone?

Answers

Answer: 144

Step-by-step explanation:

45 percent of 320 is 144

Answer:

144 people bought a waffle cone

Step-by-step explanation:

Step 1:

45/100 = x/320 Equation

Step 2:

100x = 14,400 Multily

Step 3:

x = 14,400 ÷ 100 Divide

Answer:

x = 144

Hope This Helps :)

Please help answer it's easy it's 7th grade work I'll give you brainliest

Answers

just figure out the relationship between 3 and 12 and do the same thing to 2

so obviously, 3 x 4 is 12, so just multiply 2 by 4, which is 8.

x=8

Answer:

Step-by-step explanation:

2/3 = x/12

Numerator:

2×4=8

Denominator

3×4=12

What u do on the bottom you must do on the top

Carlos purchased 8,000 shares of Baller, Inc. stock. In December, Baller, Inc. declared a dividend of $45,000 at $3.50 per share. What were the total outstanding shares of Baller, Inc. stock when they declared dividends?
A)11,882
B)12,857
C)10,492
D)11,301

Answers

Answer:

i dont knwo bat i knaow the answer is ç

I believe the answer is C

How many grams are in 1.204 x 10 24 atoms lithium

Answers

Answer:

We have:

1.204x10^24 atoms of lithium.

The weight of one atom of lithium is: 6.941 atomic mass units.

And we know that:

1 atomic mass unit = 1.661x10^(-24)g

Then the mass of one atom is 6.941 times 1.661x10^(-24)g

m = 6.941*1.661x10^(-24)g = 1.153x10^(-23)g

Then the mass of 1.204x10^24 atoms is 1.204x10^24 times 1.153x10^(-23)g

M = 1.204x10^24 *1.153x10^(-23)g = 1.388x10^(24 - 23) g

M = 1.388x10^1g = 13.88 g

Then 1.204x10^24 atoms of lithium wieght 13.88 grams.

How to round the decimal 5.37

Answers

Answer:

5.00

Step-by-step explanation:

You only round up if its .50 or greater. So, because it is less than that, you round down to 5.00

Katie ran four miles she ran at a rate that was 1.1 miles per mile slower than Jasmine Jasmine ran at a rate of 8.4 minutes per mile for how many minutes did Katie run? Explain how you determined your answer.

Answers

Answer:

Katie spent 29.2 minutes

Step-by-step explanation:

I hope this helps!!!

Answer:

29.2 minutes

Step-by-step explanation:

If Jasmine ran 5 miles in 42 minutes. Katie ran 4 miles. She ran at a rate that was 1.1 minutes per mile slower than Jasmine. For how many minutes did Katie run? Explain how you determined your answer. So basically When you run slower you subtract so 8.4 minus 1.1 is 7.3. And then multiply it by 4 and get 29.2 You can check your answer by dividing 29.2 by 7.3

If it takes Matthew an hour to get to his friend’s house, and two hours if he drives 25 mph slower, how far away does Matthew’s friend live?

Answers

50 miles. If he drives 50 mph it only takes 1 he. If he drives 25 mph slower, it takes twice as long.

50 miles. We can make the equation equal when we say 50mph*1=25mph*2.

is 0 a natural number?

Answers

Answer:

No 0 is not a natrual number but it is a whole number.

Step-by-step explanation:

Which of the following values is the slope of any line parallel to 5x + 7y = 6?
A. 7
B. 5
C. -7/5
D. -5/7

Answers

Answer:

Step-by-step explanation:

1) What will be the total interest paid on a 30-year mortgage loan
of $135,000 at 4.296 interest?

Answers

Answer:

173 988

Step-by-step explanation:

£135,000 of 4.296% times 30

Convert the problem to an equation using the percentage formula: P% * X = Y.

P is 10%, X is 150, so the equation is 10% * 150 = Y.

Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.

Select the correct scientific notation form of this numeral. Can someone help me with this

541

5.0 × 10 2
5 × 10 2
5.41 × 10 2
5.4 × 10 2

Answers

Answer:

it would be 5.41 x 10^2

Step-by-step explanation:

the reason it would be this is because when you have it ^2 you love the decimal that many places the same goes for the number was negative then you would move it backwards.

Answer:

The answer is 5.41 × 10^2

Step-by-step explanation:

To make sure the answer is right, picture a decimal on the right of the 1 in the numeral. Then, picture it going to the left until it's next to the 5. Since it moved twice, the exponent is 2 and the decimal is 5.41. Hope this helps!

4 (2+6)+4-3 (9-7))))))

Answers

Answer:

the answer is 10

Step-by-step explanation:

i hope it helped you!

which point represents the vertex of the marked angle? see photo above

Answers

Answer:

Step-by-step explanation:

A vertex is where two lines intersect

B is the correct answer.

Write the equation that describes the line in slope
intercept form:
slope 8, y intercept = 2

Answers

Answer:

y = 8x + 2

Step-by-step explanation:

please mark me as brainlest

30 points
Jose bought 750 bags of peanuts for $375.00. He intends to sell each bag for $0.15 more than he paid. How much should he charge for each bag?

Answers

$2.15 For each bag.
I think

Nah I got u it’s $2.15 for sure for sure

Find the next two numbers in the pattern.
5, −20, 80, −320, …

Answers

Answer:

-12

Step-by-step explanation:

The sum of two consecutive integers is 26. What are the integers? Question does not specify even or odd consecutive integers. Please HELP!

Answers

X is some integer

X+1 is the consecutive integer
Consecutive interferes are numbers like { 5,6,7 } or { 11,12,13 }. They are numbers that follow after one another

We sum x and x+1 getting 26 which means
x+(x+1)=26

2x+1=26

2x=26-1

2x=25

x=25/2

x=12.5

We made x an internet but 12.5 isn’t a integer so there are no solutions to the first integer equation.
So there are no consecutive integers that add up to 26.

If your teacher said consecutive even integers then your equation would be

x+(x+2)=26

2x+2=26

2x=24

x=24/2

x=12

And we can see that x=12 and x+2=12+2=14 add 12+14=26

Thar only applies if your teacher wrote consecutive even integers. With that even left out there are no solutions

at a simple annual interest rate of 4.5 percent, haw many years will it take Sam to earn 135 dollars on an original account of 1,000

Answers

9514 1404 393

Answer:

Step-by-step explanation:

The simple interest formula is useful here:

I = Prt

where I is the interest earned on principal P invested at rate r for t years.

Filling in the given information, we can solve for the unknown.

135 = 1000·0.045·t

135/45 = t = 3

It will take 3 years for Sam to earn $135 on his account.

the image of the point (-8, -5) under a reflection across the x-axis is (8, -5)
True or false

Answers

False hope this helps :)

false because it should be (-8, 5)

Solve the equation. Then check your solution.
A-1/2=3/5

Answers

Answer:

B: 1 1/10

Step-by-step explanation:

Step 1:

a - 1/2 = 3/5 Equation

Step 2:

a - 5/10 = 6/10 Find the common denominator

Step 3:

a = 4/10 + 6/10 Add 5/10 on both sides

Answer:

a = 11/10 or 1 1/10

Hope This Helps :)

A shirt is on sale for 25% off, and the total comes out to $15. What is the original price?

Answers

The total price is equivalent to 75% of the price it was bought for. Divide the selling price by 75 and multiply by 100:

(15 / 75) x 100 = $20

The shirt was initially $20

Laila bought 20 strawberries. She ate 1 strawberry. What percentage of the strawberries did Laila eat?

Answers

Answer: 5%

Step-by-step explanation: 100%÷20=5%

Answer she ate 5 percent of the strawberries

PLEASE HELP ASAP WILL GIVE BRAINLEIST

Solve for x:

9x + 3 = 75

Answers

9x+3= 75

Move constant to the right-hand side and change its sign
9x=75-3

Subtract the numbers
9x=72

Divide both sides of the equation by
x= 8

This question might get deleted but im grounded and can yall spamm my mom so I can get my phone back plz (Plz dont Call, just text she dosen't answer random calls)

Answers

Ight haha let the spamming begin

................girl ik u not grounded shudap

x plus three is less than 0.
state the possible values.

Answers

Answer:

Any number -4 and below.

Step-by-step explanation:

Johanna rode her bike 7 miles to a lake . She rode 3/4 of the distance to the lake before lunch

Answers

Answer:

The answer would be 5.25 miles :)

What I did was I took 3/4 and made it into its decimal form which is 3/4. I then times it by 7 to get 5.25.
5.25 miles is your answer.

Identify the given random variable as being discrete or continuous. The number of phone calls between New York and California on Thanksgiving day Group of answer choices Discrete

Answers

Answer:

Discrete

Step-by-step explanation:

Given

Number of phone calls between two cities on Thanks giving day

Required

Discrete or Continuous

Number of phone calls can be represented as thus:

0, 1, 2 , 3 , 10, 20, 100 or any other positive whole numbers

Only discrete data take form of the above.

Hence, "Discrete" answers the question

The given random variable is discrete and this can be determined by observing the given data.

Given :

The number of phone calls between New York and California on Thanksgiving day.

The following steps can be used in order to determine the given random variable as being discrete or continuous:

Step 1 - According to the given data, the number of phone calls between New York and California on Thanksgiving day.

Step 2 - So, the total number of calls on thanksgiving day may be 0, 2, 6, 9, 15, 100, 115, or whole positive number.

Step 3 - So, from the above steps, it can be concluded that the given random variable is discrete.

For more information, refer to the link given below:

https://brainly.com/question/17429689

What’s the factored form of f(x)=x^3-5x^2+4x

Answers

First you factor out x because it is a common factor in all of the terms.

f(x) = x(x^2 - 5x + 4)

Then factor the quadratic

f(x) = x(x - 4)(x - 1)

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