WILL MARK BRAINLIEST ANSWER PLEASE HELP ASAP!!! Which of the following expressions can be used to rationalize the fraction below? 15/square root3

WILL MARK BRAINLIEST ANSWER PLEASE HELP ASAP!!! Which Of The Following Expressions Can Be Used To Rationalize

Answers

Answer 1

Answer:

D I think

Step-by-step explanation:

none of the others look right

Answer 2

The fraction which is used to rationalize fraction [tex]15/\sqrt{3}[/tex] is option D which is [tex]\sqrt{3}/\sqrt{3}[/tex].

What is fraction?

A fraction is a combination of two numbers one is numerator and other is denominator. Number above division is numerator and number above division is denominator. It is expressed as u/v where u is numerator and v is denominator.

How to rationalize fraction?

The given fraction is [tex]15/\sqrt{3}[/tex] and we have to rationalize the fraction now we have to multiply and divide [tex]15/\sqrt{3}[/tex] by [tex]\sqrt{3}[/tex]

=15/[tex]\sqrt{3}[/tex]*[tex]\sqrt{3}\sqrt{3}[/tex]

=[tex]15\sqrt{3}/3[/tex]

Rationalized fraction will be [tex]15\sqrt{3} /\sqrt{3}[/tex].

Hence the fraction required to rationalize fraction 15/[tex]\sqrt{3}[/tex] is [tex]\sqrt{3} /\sqrt{3}[/tex].

Learn more about fraction at https://brainly.com/question/78672

#SPJ2


Related Questions

work out (8x10^-3) x (2x10^-4)​

Answers

Answer:

[tex]1.6 \times 10^{-6}[/tex]

Step-by-step explanation:

[tex](8 \times 10^{-3}) \times (2 \times 10^{-4})[/tex]

[tex]8 \times 2 \times 10^{-3} \times 10^{-4}[/tex]

[tex]16 \times 10^{-3+(-4)}[/tex]

[tex]16 \times 10^{-3-4}[/tex]

[tex]16 \times 10^{-7}[/tex]

[tex]1.6 \times 10^{-6}[/tex]

Answer:

(8 × 10^-3)× ( 2× 10 ^-4)

reorder the terms

You will get

(8 × 2) ( 10^ -3 × 10^-4)

Multiply

16 ( 10^ -3 × 10^-4)

Use the rules of indices

a^ b × a^ c = a^b+c

16(10^-3-4)

16(10^-7)

= 16 × 10^-7 or 1.6 × 10^-6 or 0.0000016

Hope this helps.

Which angle pairs are supplementary? Check all that
apply.
21 and 22
0 24 and 23
0 24 and 25
O 27 and 25
O 23 and 26

Answers

Answer:

Option B, C and E are supplementary angles.

Step-by-step explanation:

We need to find supplementary angles.

Supplementary angles are those angles who sum up to 180 °.

I have attached picture for reference.

Looking at the figure given:

We have supplementary angles:

∠4 and ∠3

∠4 and ∠5

∠5 and ∠6

∠7 and ∠8

∠3 and ∠6

But the options given are: ∠4 and ∠3,∠4 and ∠5, ∠3 and ∠6

So, Option B, C and E are supplementary angles.

Supplementary angles are pair of adjacent angles that add up to 180 degrees

Conditions for supplementary angles

For a pair of angles to be supplementary, then the following must be true

The angles must be adjacent i.e. side by sideThe angles must add up to 180 degrees

The image is not given.

So, I provided a general explanation

Read more about supplementary angles at:

https://brainly.com/question/18217469

please help ill mark you as brainlesit if correct!​

Answers

Answer: [tex]\dfrac{1}{8}[/tex]

Step-by-step explanation:

Formula : Probability = [tex]\dfrac{\text{favorable outcomes}}{\text{total outcomes}}[/tex]

Given , Sam has 4 cards numbered 2,3,5, and 7.

His friend has 4 cards numbered 1,2,6 and 7.

If they both draw one card and put that on table , then the possible combinations of cards would be (2,1) , (2,2), .... (7,6), (7,7).

i.e. Number of possible outcomes would be (S) 4 x 4 = 16

Favorable outcomes that they will choose same number (F) = (2,2) , (7,7)

Now , the probability that they will both choose the same number would be :

[tex]\dfrac{F}{S}=\dfrac{2}{16}=\dfrac{1}{8}[/tex]

Hence, the required probability = [tex]\dfrac{1}{8}[/tex]

examine the number patter below 1,2,3,5,8,13,21​

Answers

The sequence is the Fibonacci sequence!

It works like this.

1+2=3

2+3=5

3+5=8

5+8=13

8+13=21

and so on.

Answer:

Step-by-step explanation:

Ad the last two for the next

(1+2)= 3.  3+5=8.......

so 13+21= 34

21+34= 55

34+55= 89

not sure what you are looking for but I hope that helps.

ASAP WILL DO BRAINLIESET
Karen can complete 12 coloring book pages in 30 minutes.
a) what is the constant of proportionality?
b) Write a direct variation equation that represents the scenario
c) How long will it take Karen to complete 96 coloring pages?

Answers

Answer:

a. Karen can do 2.5 coloring pages a minute.

c. 240 minutes

Step-by-step explanation:

c. 96 / 12 = 8. 8 x 30 = 240.

Determine whether the forces in the pair are pulling at right angles to each other. For the values a = 1.6 and b = 5.8, which are legs of a right triangle, find c, the hypotenuse, to the nearest tenth

Answers

Answer:

Approximetly 6

Step-by-step explanation:

a^2 + b^2 = c^2

1.6^2 + 5.8^2 = c^2

2.56 + 33.64 = c^2

36.2 = c^2

c=6 (approximetly)

When dividing complex numbers, why do
you need to multiply the numerator and
denominator by the complex conjugate of the
denominator?

Answers

Answer:

Hope this helps..

Step-by-step explanation:  

So when you need to divide one complex number by another, you multiply the numerator and denominator of the problem by the conjugate of the denominator. This step creates a real number in the denominator of the answer, which allows you to write the answer in the standard form of a complex number.

Answer:

You have to multiply by the complex conjugate because the denominator has to be a real number. By multiplying the complex conjugate you can transform the denominator in to a real number.

Step-by-step explanation:

The graph below shows the number of pages Matthew read in x hours. Find the slope of the line. Explain what the slope represents.

Answers

Answer: The slope represents the RATE at which Matthew read pages in x hours.

Step-by-step explanation:

While I can not see the graph, I can conclude the representation from your sentence. Slope usually describes cases where an action increases or decreases over time if that makes sense. I can help you with the calculation if you add the graph! I hope this helped a bit!


please help!!
it’s due today

Answers

Answer:

this is a little late haha but the last one

Step-by-step explanation:

cus the slope is 2 and the y intercept is -1

A pen cost $0.89 yesterday. It is on sale today for $0.65.
How much less does the pen cost today?

Answers

Answer:

The pen costs 24 cents less today than yesterday

Step-by-step explanation:

0.89-0.65=0.24

Answer:

It costs $0.24 less

Step-by-step explanation:

0.89 - 0.65=0.24

Find the area of the regular polygon​

Answers

Answer:

A

Step-by-step explanation:

Points , , and are collinear. Point is between and . Solve for given the following. =3+3 =−1+2 =11 =

Answers

The answer is going to be 10.4

The GCF of 24 and 32 is

Answers

The greatest common factor of of 24 and 32 is 8

Answer:

8

Step-by-step explanation:

(q^4)^z=q^12
find the value of z

Answers

Answer:

z = 3

Step-by-step explanation:

Using the rule of exponents

[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]

Thus

[tex](q^{4}) ^{z}[/tex] = [tex]q^{4z}[/tex] , so

[tex]q^{4z}[/tex] = [tex]q^{12}[/tex]

Since the bases on both sides are equal then equate the exponents

4z = 12 ( divide both sides by 4 )

z = 3

Answer:

The value of z is 3.

Step-by-step explanation:

You have to use Indices Law,

[tex] {( {a}^{m}) }^{n} \: ⇒ \: {a}^{mn} [/tex]

So for this question, first you have to get rid of brackets :

[tex] { ({q}^{4} )}^{z} = {q}^{12} [/tex]

[tex] {q}^{4z} = {q}^{12} [/tex]

Next you can solve it since both have the same bases :

[tex] {q}^{4z} = {q}^{12} [/tex]

[tex]4z = 12[/tex]

[tex]z = 3[/tex]

A line segment 9 cm long is dilated with a scale factor of 3. Find the length of the dilated line segment. A. 1/3 cm B. 3 cm C. 12 cm D. 27 cm

Answers

Answer:

27 cm

Solution

[tex]length = 9 \: cm \\ on \: dilation \: with \: a \: scale \: factor \: of \: 3 \\ now \\ length = 9 \times 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: = 27 \: cm[/tex]

hope this helps...

Good luck on your assignment....

Write the first six terms of the sequence.
a1 = 4, an = An-1 +5

Answers

Answer:

{4, 9, 14, 19, 24}

Step-by-step explanation:

Best to use the notation a(1) = 4, a(n) = a(n-1) + 5.

a(1) = 4  (given)

a(2) = 9  (here we found a(2) by adding the common difference, 5, to a(1)

a(3) = 14

a(4) =  19

a(5) = 24

if an atom has 12 positively charged protons and 12 negatively charged electrons, what is it's total charge?

Answers

[tex]+12+(-12)\\=0[/tex]

With explanations please
1.) A ship leaves port and travels 21km on a bearing of 032° and then 45km on a bearing of 287°
a) Calculate it's distance from the port
b) Calculate the bearing of the port from the ship

2.) A surveyor leaves her base camp and drives 42 km on a bearing of 032°,she then drives 28km on a bearing of 154°. How far is she then from her base camp and what is her bearing from it?​

Answers

Answer:idk

Step-by-step explanatio

y varies inversely as x, if y = -3 when x = -6, find y when x = 14.

Answers

Answer:

y is equal to 7 when x is equal to 14.

Step-by-step explanation:

-6 divided by -3 is equal to 2.  This means x divided by y is equal to 2.  

x / y = 2

14 / 7 = 2

Choose the product. -6p 3(3p 2 + 5p - 1)

Answers

Answer:

-18 p^5 - 30 p^4 - 6p^3

Step-by-step explanation:

-6p^3(3p^2 + 5p - 1)

Distribute

-6p^3(3p^2) + -6 p^3*5p - 6p^3

Combine like terms

-18 p^5 - 30 p^4 - 6p^3

Find the volume of the pyramid.

Answers

V=7 with the little 3

37 is 60% of what number?

Answers

Answer:

61 2/3 = n

Step-by-step explanation:

Is means equals and of means multiply

37 = 60% * n

37 = .60n

divide each side by .60

37 / .60 = .60n/.60

61.6666666 repeating = n

61 2/3 = n

What is the area in square units of the polygon shown here 2 units 1 unit 5 units and 7 units.

12 units^2
14units^2
17 units^2
19 units^2

Answers

The area units should be 19 units^2

Calculate the surface area of the 3-D composite figure please!! show how you got the surface area

Answers

Answer:

1222 ft²

Step-by-step explanation:

11*19*2=41811*9*2=19819*9*2 - 10*9=25213*9*2=2341/2*10*12*2=120

418+198+252+234+120=1222 ft²

Which figure shows an example of symmetry?
OA
O B
o
O D​

Answers

Answer:

C.

Step-by-step explanation:

symmetry means that when you fold the paper along the line of symmetry shape is overlapping

A cylinder of base radius 4cm is opened at one end . If the ratio of the area of it's base to that of it's curved surface area is 1:4, Calculate the height of the cylinder​

Answers

Answer:

Height = 8cm

Step-by-step explanation:

I hope it helps

The required height of the cylinder is 8cm.

A  cylinder of base radius 4cm. The ratio of the area of it's base to that of it's curved surface area is 1:4. Height of cylinder is to be determine.

What is surface area?

Surface area is defined as the area of the surface that are uncovered.

Here,
area of circle/surface area of cylinder=1/4
πr²/2πrh=1/4
r/2h=1/4
h=2r
where r = 4cm
h = 2*4
h = 8cm

Thus, the required height of the cylinder is 8cm.
           

Learn more about surface area here:
https://brainly.com/question/2835293

#SPJ2

The annual rainfall for two cities, Albany and Zachary, in each of the years from 2002 to 2011 are shown in the tables. Annual Rainfall for Albany (in.) 23.36 18.51 28.54 22.36 30.50 24.74 11.93 15.34 18.07 15.98 Annual Rainfall for Zachary (in.) 27.27 20.11 31.14 25.88 32.97 25.03 18.55 23.91 22.75 19.73 Find the mean for the two cities' annual rainfalls. In which city does it rain more in a year, on average? Drag and drop the correct choices into the boxes to complete the statement. On average, Albany gets _ inches of rain per year and Zachary gets _ inches of rain per year. on average, which city rains more zachary or albany?

Answers

Answer:

On average, Albani gets 20.933 inches of rain per year.

On average, Zachary gets 24.734 inches of rain per year.

On average, Zachary gets more rain than Albani.

Step-by-step explanation:

Mean is given by:

[tex]Mean = \frac{Sum}{Total}[/tex]

For Albani :

Sum of total number of terms = 23.36+18.51+28.54+22.36+30.50+24.74+11.93+15.34+18.07+15.98

Sum of total number of terms = 209.33

Number of terms = 10

[tex]Mean=\frac{209.33}{10}\\\\Mean=20.933\\[/tex]

For Zachary :

Sum of total number of terms = 27.27+20.11+31.14+25.88+32.97+25.03+18.55+23.91+22.75+19.73

Sum of total number of terms = 247.34

Number of terms = 10

[tex]Mean=\frac{247.34}{10}\\Mean=24.734[/tex]

PLS HELP ANSWER CORRECTLY WITH FULL WORK THO

Answers

Answer:

Hope this working is clear

If a taxpayer has an adjusted gross income (AGI) of $75,000, donates
$20,000 to charity, and itemizes deductions on his federal income tax return,
how much of the charitable donation is deductible?
O A. None of the donation is deductible.
B. $20,000
O c. $10,000
O D. $5000

Answers

Answer:20000

Step-by-step explanations

a group of 43 children, with some adults, travelled by coach on a trip to a zoo
The total cost of the trip was £516
the entrance fee was £12.75 for each adult and£8.25 for each child
the cost of hiring the coach was £123

How many adults were in the group?
you must show your working

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

516 - 123 = 393

8.25 x 43 = 354.75

393 - 354.75 = 38.25

38.25 / 12.75 = 3

There were 3 adults

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

Answer:

3 adults

Step-by-step explanation:

(each child)£8.25×(total children)43=£354.75(total amount paid for children)

£354.75+£123=£477.75

£516-£477.75=£38.25

£38.25÷£12.75=3

Other Questions
Lauren drove the 75 miles to the coast at 75mph, but got stuck in traffic and averaged 25mph on the way back.-How many total miles did Lauren drive in this round-trip?-How many total hours did Lauren drive in this round-trip? -What was the average speed Lauren was driving during this round-trip? You are the city manager and the budget is tight. Your options are either to raise taxes and/or fees, cut programs and services, or raise taxes and cut services. Which do you choose? If you are going to cut services, which services do you cut? Once your decision is made, how do you sell your idea to the city council and the residents of your city that this is the best option? What are the 3 forms of energy balance? Which was a turning point in World War II in favor of the allies PLEASE ANSWER ASAP! 33 POINTS TO WIN!Evaluate President Eisenhowers argument. What part of it would have been convincing to Americans during 1961? What part would probably not have worked as well? Since the beginning of the Industrial Revolution, how much has the pH dropped in the oceans? 0.9 0.7 0.1 0.3 Solve for xA) 7B) 10C) 5D) -7 An organism changes significantly from the parent generation to the offspring generation and the stabilizes what type of evolution is this How has Naledi gotten to know her mother better as a result of their trip? Which statement best describes the events that take place within themitochondrial membrane?O A. Electrons gain energy as they move.OB. The electron transport chain produces ATP.O C. The Krebs cycle breaks down glucose.O D. Kinetic energy is produced by pyruvate. If the assets of a company increase by $55,000 during the year and its liabilities increase by $25,000 during the same year, then the change in equity of the company during the year must have been: There are 20 children in the cast of a class play, and 8 of the children are boys. Of the boys, 4 have a speaking part in the play, and of the girls, 8do not have a speaking part in the play. If a child from the cast of the play is chosen at random, what is the probability that the child has aspeaking part?A: 2/5B: 1/2C: 3/5D: 3/4 Drug abuse can be very dangerous to the body. Which of these best describesdrug abuse? Substitute with One Solution2x -y=-116x + y = 3 A company that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. Prior to buying the new equipment, the company used 5 workers, who together produced an average of 100 carts per hour. Workers receive $16 per hour, and machine cost was $30 per hour. With the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $10 per hour while output increased by 5 carts per hour.a. Compute the multifactor productivity(MFP) (labor plus equipment) under the Prior to buying the new equipment. (Round to 4 decimal places)b. Compute the % growth in productivity between the Prior and after buying the new equipment. (Round to 2 decimal places) major help please :) As a student in the Principles of Management class of Ama Ghana University, you are expected to have experiential knowledge so that you can be able to solve real life business problems after graduation. To achieve this objective, the 2020 class has been divided into ten groups; and each team works in a management capacity with ten management consulting companies in the Greater Accra Region. San Consulting - the firm that your group works with is a project management company that is into Real Estate construction and management consulting. This firm which has twenty years experience in this business is the first choice for all individuals and companies that want quality service. You have on the contrary, observed that many of the management practices have not developed precipitously as situations in the business environment warrant. The accountant confirmed this by saying in the last general meeting that a certain percentage of Sans profit margin is being lost because of this situation. She gave the example that the surveying department spent eight labor hours generating data that had been generated two weeks ago by another unit. Due to the fact that the surveying department did not know that the data had already been created, a substantial effort was wasted and this has been a recurrent problem. In addition, the increase in demand of the services of Sans Consulting has placed significant pressures on the five managers whose duties are not clearly defined. For instance, you have observed that any of these managers perform duties in the operations department as well as any other unit within the firm. They are not able to perform all the functions required of them due to the ineffectiveness of the organizational structure. You and the members of your group are expected to write a report to the top-level management team regarding your analysis of the situation in the firm.1. Explain which of the four main management functions is/are not operating as it/they should within the firm? 3 Marks2. What recommendations will you make in your report that will help assure that this situation or similar one would not happen again? 4 Marks3. Assume that the top-level management team has accepted your recommendations, how can their effectiveness be evaluated three months after implementation? 4 Marks4. Discuss the organizational structure currently used by Sans Consulting and would you recommend the continuous use of this structure? If yes or no, present the factors (4) that influenced your decision regarding the right organizational structure for Sans Consulting. 5 Marks5. Identify and discuss the main problems that the firm is likely to experience (i) if the current structure is continued or (ii) if a new structure is implemented. 5 Marks Which side of ADEF is the longest? HomeGrown Company is a chain of grocery stores that are similar to indoor farmer's markets, providing fresh, local produce, meats, and dairy products to consumers in urban areas. HomeGrown is considering opening several stores in a new city, and has proposals from three contractors (Alpha, Beta, and Gamma companies) who would like to provide buildings for the new stores.The amount of expected revenue from the stores will depend on the design of the contractor. For example, if HomeGrown decides on a more open floor plan, with less shelf space for products, revenue would be lower overall. However, if HomeGrown decides on a very crowded floor plan, it may lose customers who appreciate a more open feel.As the project manager for HomeGrown, you are responsible for deciding which if any of the proposals to accept. HomeGrown's minimum acceptable rate of return is 20%. You receive the following data from the three contractors:Proposal Type of Floor Plan Investment if Selected Residual ValueAlpha Very open, like an indoor farmers market $1,472,000 $0.00Beta Standard grocery shelving and layout, minimal aisle space $5,678,900 $0.00Gamma Mix of open areas and shelving areas $2,525,960 $0.00You have calculated estimates of annual cash flows and average annual income from customers for each of the three contractors' plans. You believe that the annual cash flows will be equal for each of the 10 years for which you are preparing your capital investment analysis. Your conclusions are presented below.Proposal Estimated Average Annual Income Estimated Average (after depreciation) Annual Cash FlowAlpha $302,054 $351,145Beta $272,019 $475,608Gamma $626,564 $704,490You begin by trying to eliminate any proposals that are not yielding the companys minimum required rate of return of 20%. Complete the table below, and decide whether Alpha, Beta, and/or Gamma should be eliminated because the average rate of return of their project is less than the company's minimum required rate of return.Complete the table below. Enter the average rates of return as percentages rounded to two decimal places.Proposal Annual Income Average InvestmentAverage Rate of ReturnAccept or Reject? Estimated AverageAlpha Accept Beta Reject Gamma Accept which equation be used to find the surface area of the cylinder