How do you convert a rational exponent into a radical? Use proper terminology (numerator, denominator, index, radicand, power).

Answers

Answer 1

Answer: 1. Well, for one they both have a 'radicand' and you can arrange both of them in a fraction form.

2. Graph is increasing, there's an asymptotic value, the domain is all real numbers, the range is y > 0. If you add a constant, you are shifting it vertically, which means it's y-intercept will change by the magnitude of the constant.

3. Linear functions are a straight line with one definite slope. Exponential functions are basically curves with their slopes, not constantly, but changing. As you increase your x-values, the linear functions lacks behind, and the exponential one becomes very large.

4. I really don't know how to explain this, it's kind of confusing.

5. You can use the slope formula: (y2-y1)/(x2-x1). Plug in values, you get:

(12-8)/(4-2). This can be simplified to 4/2 or just 2. That's his average rate of change: 2 balls per day.

6. An arithmetic sequence adds on a specific value every time. For example: {1, 3, 5, 7...}

A Geometric sequence increases every time by a common ratio. For example: {2, 6, 18, 54...}

6. If it's relative to time, then you have a parametric equation dealing with time. Just like that, you can see that 1 variable changes with respect to the other, and that implies parametricity.

Step-by-step explanation:

Answer 2

9514 1404 393

Answer:

  [tex]x^{a/b}=\sqrt[b]{x^a}=(\sqrt[b]{x})^a[/tex]

Step-by-step explanation:

The denominator of the fractional exponent becomes the index of the root. The exponent numerator is left as the power of the base. The exponent can be inside or outside the radical.

  [tex]x^{a/b}=\sqrt[b]{x^a}=(\sqrt[b]{x})^a[/tex]


Related Questions

PLEASE HELP URGENT WILL GIVE BRAINLIEST

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

We know that

An expression can not be a polynomial if any term has a negative exponentAn expression can not be a polynomial if any term has a fraction exponentAn expression can not be a polynomial if any term contains division by a variable.

2)

Given the expression

f(x) = 3x + 4/3 x³ - 7

The given expression is a polynomial with degree 3 (highest power of any variable) and having 3 terms

3)

Given the expression

g(x) =- 5x³ + x - 3/x

The given expression is NOT a polynomial as any term of a polynomial can not have exponent as -1.

For example, the term 3/x or 3x⁻¹ has negative exponent -1.

Thus, g(x) =- 5x³ + x - 3/x

4)

Given the expression

h(x) =x³√5 + x - 3

The given expression is a polynomial with degree 3 (highest power of any variable) and having 3 terms

5)

Given the expression

k(x)=25x²-x³+x⁵

The given expression is a polynomial with a degree of 5 (highest power of any variable) and having 3 terms.

The Serenity and the Mystic are sail boats. The Serenity and the Mystic start at the same point and travel away from each other in opposite directions. The Serenity travels at 16 mph and the Mystic travels at 20 mph. How far apart will they be in 2 hours? A. 52 miles B. 56 miles C. 40 miles D. 72 miles

Answers

Answer:

te puedo responder pero debes hacer primero tu tarea

Step-by-step explanation:

You only have 30 hours of vacation time left I always work 8 hours per day so that mean that I can take how many days off

Answers

Answer:

2

Step-by-step explanation:

Alina and Asim share 210 dollars In the ratio 2:5 how much money did each of them get ?

Answers

Answer:

Let Alina share be 2x and asking share be 5x

then, 2x+5x =210 dollars

7x =210 dollars

x=30 dollars

then share of Alina = 2x = 2 * 30 = 60 dollars

and share of asim= 5x = 5 * 30 = 150 dollars

Answer:

I hope the above pic will help you I have done it in word

I will always help you understanding your assingments

have a great day

#Captainpower:)

WILL MARK BRAINLIEST

Answers

Answer:

48 in²

Step-by-step explanation:

if it's a right triangle you can multiply your sides like uts a rectangle and then divide it by 2. look at the triangle like its half a rectangle

48 square inches!

The formula for a triangle is A=1/2bh. The base is 24 inches, the hight is 4. 24•4=96. 96/2=48.

Hope this helped! Stay safe :D

A Chromebook costs $249.99 at Target. On Black Friday, it is on sale for 15% off.
What is the price of the computer on Black Friday?

Answers

With original price $249.99 and 15% off,

Final price: $212.49

Saved amount: $37.50

Answer:

nah

Step-by-step explanation:

asdddddddddddddddddddddddddddddddddddddddddddddd

Which of these statements are true for the parabola shown here? Select all that apply. Selecciona todas las que correspondan)

Vertex on the y-axis

Concave down

One positive x-intercept

One negative y-intercept

Line of symmetry at y = 3​

Answers

Answer:

so 3×2 is 839 and 828 equal to pie 111+×÷ equals for the equation is the awnser to 444 which is 344

What do you think the answer is??

Answers

Answer:

c

Step-by-step explanation:

Answer:

it's "b"

Step-by-step explanation:

a. A bicycle shop marks down each bicycle's selling price b by 22% for a holiday sale.
b. What is a single term expression for the sale price?

The expression for the sale price is ____?

Answers

9514 1404 393

Answer:

  0.78b

Step-by-step explanation:

The sale price will be ...

  b - 22% × b = b(1 -22%) = b(1 -0.22)

  = 0.78b . . . . single-term expression for sale price

HELP ME PLEASEEEEEEEEEEEE !!!!!

Answers

he got 4 percent right. 16 percent of 15 is 4 :)

Is this correct??????? Someone plz help

Answers

No because you have to subtract 2 for 2 and from 1 which is x is greater than or equal to -1 then you graph that

Please help me thank you I appreciate

Answers

Answer:

90-34=56° .....................

The exchange rate between the American dollar ($) and the British pound (£) was $1.60= £1.
(a) Denise changed £400 into dollars. How many dollars did she receive?
(b) To change the money, the bank charged a fixed amount of £3 plus 2% of the number of pounds changed. Calculate the amount the bank charged Denise to change her £400.

Answers

Answer:

(a) Denise received $640.

(b) The total amount the bank charged Denise was £11

Step-by-step explanation:

Proportions and Percentages

The exchange rate between the American Dollar ($) and the British Pound(£) is $1.60= £1.

(a) Denise changed £400 into dollars. Applying the exchange rate:

£400 = 1.60*400 = $640

Denise received $640.

(b) To change the money, we need to add both fees the bank charged Denise:

A fixed amount of £3

2% of £400 = £8

The total amount the bank charged Denise was £11

Pleaseeee help me I need help reallly bad

Answers

Answer: 9. Matches with 1

10. Matches with 5

11. Matches with 64

12. Matches with 32

Explanation:

9. Insert the numbers that equal the variables from the top of the page.

7-3/4 = 1

10. 3^2 - 2^2

9 - 4 = 5

11. 4(8)(2) = 64

12. (8)^2 - 4(4)(2)
64 - 32 = 32

True or false:

a. A product of two self-adjoint matrices is self-adjoint.
b. If A is self-adjoint, then Ak is self-adjoint.

Justify your conclusions

Answers

Answer:

Option a is "False".

Option b is "True".

Step-by-step explanation:

In point a:

Prove AB=BA

[tex]A=\left[\begin{array}{cc}1&2\\4&5\end{array}\right] \\\\B= \left[\begin{array}{cc}2&1\\8&5\end{array}\right][/tex]

Solve L.H.S part:

[tex]AB= \left[\begin{array}{cc}1&2\\4&5\end{array}\right] \times \left[\begin{array}{cc}2&1\\8&5\end{array}\right][/tex]

      [tex]= \left[\begin{array}{cc}2+16 &1+10\\8+40&4+25\end{array}\right]\\\\\\= \left[\begin{array}{cc}18 &11\\48&29\end{array}\right][/tex]

Solve R.H.S part:

[tex]BA= \left[\begin{array}{cc}2&1\\8&5\end{array}\right] \times \left[\begin{array}{cc}1&2\\4&5\end{array}\right][/tex]

      [tex]= \left[\begin{array}{cc}2+4 &4+5\\8+20&16+25\end{array}\right]\\ \\ \\= \left[\begin{array}{cc}6 &9\\28&41\end{array}\right][/tex]

So, [tex]AB \neq BA[/tex]

In point b:

[tex]A^{*} =A\\\\(Ak)^{*} =A^k[/tex]

if [tex]k= 1[/tex]it holds the trivially [tex]A^{*}=A ...........(1)[/tex]

by assuming that if it is true for [tex]k=n-1[/tex]

that is

[tex](A^{n-1})^{*}= A^{n-1}............(2) \\\\ if \ k=n\\\\\to (A^{n})^{*} = (A^{n-1} \cdot A^1)^{*} = A^{*}(A^{n-1})^{*} \\\\\to A(A)^{n-1}[/tex] use above equations

[tex]\to A^{n-1+1} \\\\ \to A^{n}[/tex]

that's why it is true.

4 cookies and 6 friends how much does each one get

Answers

Answer:

1.5 cookies per friend

Step-by-step explanation:

if you have 6 friends and 4 cookies you can divide the amount of cookies by the amount of people it ends up being 1.5 cookies per person

How to solve it&&&&&&&&&&&

Answers

Answer:

y = 4 and x = 12

Step-by-step explanation:

Step by step explanation in the pic. Atleast the way I did it.

Kevin works for a car dealership as a sales support person. He is paid $300 a week plus $5 for every car the dealership sells that week as an incentive to help with sales.

Write an explicit definition that defines Kevin's paycheck.

Let n = the number of cars

A
an=300+5n

B
an=300⋅5n

C
an=300n+5

D
an=300−5n

Answers

I say that the answer is A. Because 300 is what you get every month and the 5 depends on the car and how many cars are sold. So 5 is by the “n”. Also you add them all together to get your answer. Which is “An = 300 + 5n. Hope this helped. :)

Which postulate or theorem can be used to prove ABC = DCB

Answers

Answer:

SSS theorem

Step-by-step explanation:

SSS theorem

Find the it out 12 divided by 3/5. 12 divided by 2/25. 8divided by 1/7. 12divided by 1/5

Answers

Answer:

Step-by-step explanation:

1. 20

2. 150

3. 56

4. 60

hope this helps. i am in algebra two so you can trust my answers. happy holidays and stay safe

A medication contains 5 milligrams/milliliter, and a patient is taking 1 teaspoon of it 3 times daily. How many milligrams of medication is the patient receiving per day?
options:

5 milligrams

7.5 milligrams

75 milligrams

100 milligrams

Answers

Answer:

Answer: 75 milligrams

Step-by-step explanation:

The medication contains 5 milligrams/milliliter.

The patient is given 1 teaspoon of the medication 3 times a day. Since 1 teaspoon is approximately equal to 5 milliliters, then the patient takes 3*5 = 15 milliliters of the medication per day.

Each milliliter contains 5 milligrams, thus the patient receives 15*5 = 75 milligrams of medication per day.

Answer: 75 milligrams

Given that the population proportion is 0.82, the Normal distribution will provide a good approximation to the true sampling distribution of the sample proportion as long as:________.
A) n> 13.
B) n> 30.
C) n> 56.
D) n > 100.

Answers

Answer:

Then solution as long as n ≥ 56

Step-by-step explanation:

The Normal distribution will provide a good approximation to evaluate proportion tests when the following conditions are met:

n*p₀ > 10

n*q₀ > 10

As  p₀ = 0,82      q₀ = 0,18       n  = 13      30     56    and  100

We test:

A) n = 13        n*q₀  =  13*0,18 = 2,34       2,34 < 10  

B) n = 30       n*q₀  =  30*0,18 = 5,4         5,4 < 10

C) n = 56       n*q₀  =  56 * 0,18 = 10,08

                      n*p₀  = 56 * 0,82 = 45,92

D) n = 100      n*q₀  = 18

                      n*p₀  = 82

If we test 55  we find that  55*0,18  =  9,9

Then solution as long as n ≥ 56

Determine if the segment lengths 9. 12. and 15 fom a right triangle. acute triangle, obtuse triangle or not a triangle.
O Acute
O
Right
Obtuse
O Not a triangle

Answers

Not a triangle because all triangles have a sum of 180 degrees

Michelle had 600 fish to feed the dolphins in a zoo. Each dolphins ate the same number of fish. There are 9 dolphins in all. How many fish did Michelle have left?​

Answers

600 fish / 9 dolphins = 66.667

9 fish * 66 = 594 fish

600 fish - 594 fish = 6 fish

there are 6 fish left

what is the value of the expression (36 1/2)^2

Answers

324 is the answer to your promblem welcome

i need help with 4th grade math please thank you so much.It's related multiplication and division problems

please solve..​

Answers

Answer:

whats the other questions? that's what we need

Step-by-step explanation:

Answer:

yes you can because $63 is the answer for 2a so 2b would have to be a part of that so its going to help you solve it by you know the answer you just have to figure out how else to do it because you have to divide

Step-by-step explanation:

sorry if i got it wrong i don't really understand the question :(

Angie divides the polynomial function f (x)+x3+3x2-7x-21 by (x+3) what can she conclude from the fact that the remainder is equal to 0

Answers

Answer:

Yes, and if you divide x^3+3x^2-7x-21 with x+3 you will result in x^2-7

Step-by-step explanation:

Hope this helps

And I like your profile pic

The given polynomial is divisible by x+3 because f(-3)=0

So , the remainder is equal to 0

Her conclusion is correct.

Given :

Angie divides the polynomial function

[tex]f (x)=x^3+3x^2-7x-21[/tex] by (x+3)

Apply remainder theorem to check whether the remainder is equal to 0

If a polynomial p(x) is divisible by  (x-a), the remainder obtained is P(a)

x+3 is the divisor

Lets set the divisor =0 and solve for x

[tex]x+3=0\\x=-3[/tex]

Now we plug in -3 for x in given f(x) and see whether f(-3) =0

[tex]f (x)=x^3+3x^2-7x-21\\f (-3)=(-3)^3+3(-3)^2-7(-3)-21\\f(-3)=-27+27+21-21\\f(-3)=0[/tex]

So, f(-3)=0 and hence the remainder is 0

Her conclusion is correct

Learn more :  brainly.com/question/19908280

I need to understand question 14 and 15 and the last one cut off for tens in one

Answers

                                                 Question # 14

Given the numbers

10     11     12     13     14     15     16     17     18     19     20

Let 'x' be the number

The condition breakdown:

I am less than 20.

So the number 'x' must be less than 20 i.e. x < 20

I am more than 13.

So the number 'x' must be greater than 13 i.e. x > 13

I am less than 17.

So the number 'x' must be less than 17 i.e. x < 17

Finally:

I am 4 more than 12

i.e. 12+4 = 16

Thus, the number is x = 16

                                               Question # 15

Part a)

Given the numbers

10     11     12     13     14     15     16     17     18     19     20

Let 'x' be the number

The condition breakdown:

I am more than 10.

x > 10

I am less than 20.

x < 20

I am more than 12.

x > 12

I am less than 15.

x < 15

As the numbers left after all the conditions are fulfilled are 13 and 14.

But the last condition is, of the numbers that left, the number is greater than all the remaining numbers.

So, from the remaining number 13 and 14;

14 > 13

Thus, the number x = 14

Part b)

Drawing the number 14 in the place value:

          Chart

Tens                Ones

1                         4

wooo i really really loce math

Answers

Step-by-step explanation:

REALLLYYY???!!!!!!

JK

thx 4 the points..

Devante has a lunch account in the school cafeteria. His starting balance at the beginning of the month in $35.50. The first week, Devante bought 3 lunches and his account balance was $28.00. The second week, Devante bought 5 lunches and his account balance was $15.50.

In a model that relates the balance of his lunch account as a function of the number of lunches he buys, what does the rate of change represent?

A) the number of lunches he purchases
B) The starting balance of his lunch account
C) The amount of money in his lunch account
D) The amount of money he pays for each lunch

Answers

Answer:

C) The amount of money in his lunch account

Step-by-step explanation:

Other Questions
Read the text and the sentence and then choose the correct option to complete the sentenceGood afternoon My name is Lisa and I am sixteen years old. I live in Lima My school is an urban school that has two shifts from Monday to Friday the morning shift and theafternoon shift i go to the Peruvian school at thirteen hours and school ends at seventeen hours from Monday to Friday. I go to soccer practice on Saturday, and on Sunday nightpractice music. Football is my favourite sport.Based on the text what would Lisa most likely start preparing for after her shift?DinnertimeLunchtimeDoing choresChoir rehearsal "Traveling"? Choose the meaning based on context clues in the sentence.In the next couple of weeks, we continued to talk about our mother, the way shewas principled, adamant, and at the same time so shy.introverted, silentuncertain, doubtfulfirm, insistentfearful, anxious MAIN DIFFERENCE BETWEEN EUKARYOTIC AND PROKARYOTIC CELLS Jason is the network manager and is leading a project to deploy a SAN. He is working with the vendor's support technician to properly set up and configure the SAN on the network. To begin SAN I/O optimization, what should Jason need to provide to the vendor support technician President Truman issued an Executive Order directing the military to give... I NEED NEW MUSIC NOT COUNTRY PLEASE RECOMMEND AN ARTIST Which of the following did NOT shape the character of English settlements in America?The colonies were able to develop their own political and social institutions.The colonies were designed to transplant society from the old world to the new.The colonies promoted freedom of religion.The colonies adopted native agricultural techniques. Please help me:(Mr. Jacob is teaching his class about the various changes of Earths Surface over time. He wants his students to explain the evidence that supports the claim that fossils can show proof of the changing of Earths surface. Which of the following statements best explains how students can use fossils as evidence?Question 4 options:Plant fossils can be used as evidence of Earths surface changing because similar fossils found in various locations supports that Earth was once a supercontinent.Plant fossils can be used as evidence of Earths surface changing because different fossils found in one specific location on earth supports that earth was once a supercontinent.Animal fossils can be used as evidence of Earths surface changing because different fossils found in various locations supports that Earth was once a supercontinent.Animal fossils can be used as evidence of Earths surface changing because similar fossils found in one specific location of earth supports that Earth was once a supercontinent. A rectangular prism is 12 cm long, 6 cm wideand 5 cm high. What is the volume of the rectangular prism? Explain the difference between a high tide and a low tide. Which phrase describes a feature of igneous rocks that cool quickly during formation?small crystalscoarse surfacesO found beneath Earth's surfaceO exposed after erosion occurs Vincent's score is -35. naris score is 3/7ths of Vincent's score. how many points do they score in all? solve 16y = 36 using the square root property The air pressure P is inversely proportional to the altitude h. write the related variation equation Rod of steel, 200 mm length reduces its diameter (50 mm) by turning by 2 mm with feed speed 25 mm/min. You are required to calculate the metal removal rate (MRR) Somebody help!!! Please!!! TVs are measured bytheir diagonals. If a 60inch TV has a height of24 inches, how wide isthe screen? Which formation is one feature of karst topography? A. Canes B. Kettles C. Stalagmites D. Oxbow lakes Mrs. Arnold took a survey of the types of pants her students were wearing. She collected the data below. What percent of her students were wearing shorts? Jeans: 14 Shorts: 9 Capris: 2 Match the phrase with the choice that best represents it.Question 1 options:1president elected in 18082banning of tradepro-war politicianpractice of forcing people to serve in the army or navylaw that banned trade with Britain, France, and their colonies1. USS Constitution2. Non-Intercourse Act3. hawk4. impressment5. James Madison6. embargo7. James Monroe8. port of New Orleans