Which of the following questions are equivalent to the answer below x 3/5

Answers

Answer 1

Answer:

[tex]x^\frac{3}{5} = (x^3 )^\frac{1}{5}[/tex]

[tex]x^\frac{3}{5} = \sqrt[5]{x^3}[/tex]

[tex]x^\frac{3}{5} = (\sqrt[5]{x})^3[/tex]

Step-by-step explanation:

Given

[tex]x^\frac{3}{5}[/tex]

Required

The equivalent expressions

We have:

[tex]x^\frac{3}{5}[/tex]

Expand the exponent

[tex]x^\frac{3}{5} = x^{ 3 * \frac{1}{5}}[/tex]

So, we have:

[tex]x^\frac{3}{5} = (x^3 )^\frac{1}{5}[/tex] ----- this is equivalent

Express 1/5 as roots (law of indices)

[tex]x^\frac{3}{5} = \sqrt[5]{x^3}[/tex] ------ this is equivalent

The above can be rewritten as:

[tex]x^\frac{3}{5} = (\sqrt[5]{x})^3[/tex] ------ this is equivalent


Related Questions

what is most likely to be represented by the number -40

Answers

Answer:

You tell me the question properly and i will edit this and put answer

Step-by-step explanation:

Until then bye

Answer:

Read Explanation Below

Step-by-step explanation:

So... I didn't know what you were referencing nor did I see a paper, so I came up with a scenario that I thought would represent this number. (also, if you could send a picture so I know what you're referencing, that would be awesome)

1. When James took a nap at 3pm, he saw that the temperature outside was 70 degrees. However, when he woke up at 8pm, he checked the weather and it was 30 degrees. How much did the temperature change during his nap.  

3. The length of a rectangle is 20 meters long and the width is 15 meters. Find the
ratio of the length to the width of the rectangle. Then simplify the ratio.

Answers

Answer:

4/3 1.333 1 1/3

Step-by-step explanation:

What is the exponential expression for the numerical expression 6·6·6·6·6? ​ 5·6^5​ 5^6. ​6^5. 30^5​



32 POINTS

Answers

The answer should be 6^5

Ella takes 1 3/5 hours to complete a
painting. Holly takes 3/4 of the time that
Ella takes. How long will Holly take to complete 5 paintings?

Answers

Answer:

6 hours

Step-by-step explanation:

FInding Holly's time of Ella's

Ella = [tex]1 \frac{3}{5}[/tex]

Holly = [tex]\frac{3}{4} \:\mathrm{of}\:1 \frac{3}{5}[/tex]

Solve:

[tex]\frac{3}{4} \:\mathrm{of}\:1 \frac{3}{5}[/tex]

[tex]= \frac{3}{4} \times1 \frac{3}{5}[/tex]

[tex]1\frac{3}{5} =\frac{8}{5}[/tex]

[tex]\frac{3}{4}\times \frac{8}{5}=\frac{24}{20}[/tex]

[tex]\frac{24}{20} =\frac{6}{5}[/tex]

Now, we can find how many hours it takes holly to complete 5 paintings:

[tex]\frac{6}{5}\times5[/tex]

[tex]=6[/tex]

Therefore, it will take Holly 6 hours to complete 5 paintings.

find the inverse of f(x)=x^2-3x+2

Answers

Answer:

Step-by-step explanation:

y = [tex]\frac{3}{2}[/tex] + [tex]\sqrt{x+\frac{1}{4} }[/tex] and y = [tex]\frac{3}{2}[/tex] - [tex]\sqrt{x+\frac{1}{4} }[/tex]

Answer:

Step-by-step explanation:

f(x) = x² - 3x + 2

y = x² - 3x + 2

solve for x as a function of y

y - 2 = x² - 3x

complete the square by adding the square of half the x¹ coefficient to each side of the equation.

y - 2 + (-1.5)² = x² - 3x + (-1.5)²

      y + 0.25 = (x - 1.5)²

    [tex]\sqrt{y + 0.25}[/tex] = x - 1.5

                 x = 1.5 ± [tex]\sqrt{y + 0.25}[/tex]

now swap the x and y variables and revert to function notation

f(x) = 1.5 ± [tex]\sqrt{x + 0.25}[/tex]     domain is x ≥ -0.25

each input will have two outputs except where f(-0.25) = 1.5

The sum of three consecutive even numbers is 36. What is the smallest numbers ?

Answers

Answer:

The numbers are 11,12,13

The smallest number is 11

Step-by-step explanation:

Let the first number be x

The next number is x+1

The third number is x+2

x+x+1+x+2 = 36

Combine like terms

3x+3 = 36

Subtract 3 from each side

3x+3-3 = 36-3

3x=33

Divide each side by 3

3x/3 = 33/3

x=11

The numbers are 11,12,13

The smallest number is 11

PLEASE LAST FEW SETS OF QUESTIONS FOR SEMESTER PLEASE HELP 3

Answers

Problem 1

Answer: Choice A

[tex]f(n) = 59,000\left(1.08^{n-1}\right)[/tex]

---------------------------

Explanation:

The right hand side for choice A is in the form [tex]a(r)^{n-1}[/tex] which is the nth term of a geometric sequence.

a = first term = 59,000 = starting salaryr = common ratio = 1.08 = tells us how the salary increases year to year

The 1.08 represents an increase of 8% because,

1.08 = 1 + 0.08 = 100% + 8% = 108%

=======================================================

Problem 2

Answer: Choice C

[tex]\frac{(y-60)^2}{144} + \frac{x^2}{100} = 1[/tex]

---------------------------

Explanation:

The ellipse is 20 inches wide, which cuts in half to 10 inches. This is the corresponding value plugged into the denominator of the 'x' fraction, as x deals with the horizontal component. So we'll have a^2 = 10^2 = 100 in the denominator under the x term. Only choice C has this, so this is the answer we go for. For the vertical component, we cut 24 in half to get 12, then square it to get 144, which explains the denominator for the y term.

=======================================================

Problem 3

Answer: Choice C

30 feet; major axis

---------------------------

Explanation:

Pick the larger denominator 225. Apply the square root to get 15. Then double this value to land on 30. This is the length of the major axis which is the longer axis through the center of the ellipse. The major axis also passes through both foci.

Let's say points P and Q are any two random points on the ellipse. The longest segment PQ can get is 30 feet.

Can I get the answers for all the questions and if you can explain how you got it that would help PLSSSSS!!!!

Answers

7 is D because one person is doing 4 times as much work as the other person they are working with. The person that is doing the least is labelled m, and is added to 4m because 4m does 4 times as much work as m, except he does it along with m so they MUST be added together. 8 is A because if you rearrange the equation, you get 4s=70. If the 4 shirts would have cost 70$ before applying that coupon, then 4 shirts of the same cost (4s) would equal 70$. Try the last ones yourself so you can make sure you fully understand what is happening.

plz help verbal expression ​

Answers

Answer:

3(9+r) = 27 + 3r

Sum = addition

Distributive property

For each computer Isabella sells, she earns a 5% commission. If she sells 3 computers for
$985.00 each, what is her commission?
$14.78
b. $49.25
$147.75
a.
C.

Answers

If she was to sell three computers she gets 147.75

*Write each expression*
4) the difference of five and a number w
5) double a number
6) the sum of seventeen and a number y
7) twelve less than the product of m and two
8) eleven less a number

Answers

Answer:

5-w

2n

17+y

2m-12

n-11

(n stands for number)

.. Write the number word of 0.036​???

Answers

Answer:

zero point zero three six

Line’s family has completed 70% of a trip. They have traveled 35 miles. How far is the trip?

Answers

Answer:

hi the answer to your question should be 50 miles

Step-by-step explanation:

hope this helps have a great day!

Evan is organizing textbooks on his bookshelf. He has an English textbook, a biology textbook, a physics textbook, and a writing textbook. How many different ways can he line the textbooks up on his bookshelf?

Answers

Answer:

there is many ways but he could put them side to side or top and bottom

Step-by-step explanation:

Name.
Solve using
Substitution
L
y = 3x + 2
6x - 2y = 8

Answers

Answer:

No solution

Step-by-step explanation:

There is no solution to the system of equations y=3x+2 and 6x-2y=8, meaning that they are parallel to each other on a graph, with no points ever intersecting on each other's lines.

Do both of them for 50 points

Answers

Answer:

1) 7/12, 2) 7/24

Step-by-step explanation:

Just plug in the values of c and d.

1) given: c = -1 1/4, d = -1

1/3 * (-1 1/4) - (-1)^3 = -5/12 + 12/12 = 7/12

(-1^3 is -1 (there's a positive in front as well so the negatives cancel out and it's just 1) and then convert everything to a common denominator (which is 12). 1/3 times -1 1/4 becomes -5/12 when you multiple straight across).

2) given: c = 4 1/4, d = 1 1/2

1/3 * (4 1/4 - (1 1/2)^3) = 1/3 * (17/4 - 27/8) = 1/3 * (34/8 - 27/8) = 1/3 * 7/8 = 7/24

(use pemdas/order of operations and solve the exponent first, then the parentheses. 1 1/2^3 is 27/8, and 4 1/4 is 34/8. when you subtract you get 7/8, then you can multiply straight across with 1/3 and you get 7/24.)

Sabriana hiked along a trail that was 9.66 miles long she hated 4.2 miles every hour how many hours did it take Sabriana to finish hiking the trail

Answers

Answer:

3 hours

Step-by-step explanation:


For what value of x does 32X – 9^3x-4?

Answers

Answer: X = 4/61

Step-by-step explanation

A ball is thrown upward and outward from a height of 8 feet. The height of the ball, f(x), in feet, can be modeled by
f(x) = -0.1x² +0.6x+8
where x is the ball's horizontal distance, in feet, from where it was thrown. Use this model to solve parts (a) through (c).
WEB
a. What is the maximum height of the ball and how far from where it was thrown does this occur?
The maximum height is feet, which occurs feet from the point of release.
(Round to the nearest tenth as needed.)

Answers

Check the picture below.

let's change the decimal values to fractions, say 0.1 to 1/10 and 0.6 to 6/10 = 3/5, so then

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-\frac{1}{10}}x^2\stackrel{\stackrel{b}{\downarrow }}{+\frac{3}{5}}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]

[tex]\left(-\cfrac{~~ \frac{3}{5}~~}{2\frac{-1}{10}}~~,~~8-\cfrac{\left( \frac{3}{5} \right)^2}{4\left(-\frac{1}{10} \right)} \right)\implies \left(\cfrac{~~ \frac{3}{5}~~}{\frac{1}{5}}~~,~~8+\cfrac{\frac{9}{25}}{\frac{2}{5}} \right)[/tex]

[tex]\left( \cfrac{3}{5}\cdot \cfrac{5}{1}~~,~~8+\left[ \cfrac{9}{25}\cdot \cfrac{5}{2} \right] \right)\implies \left(3~~,~~8+\cfrac{9}{10} \right)\implies \stackrel{\stackrel{\textit{maximum height}}{\qquad \downarrow }}{\underset{\underset{\textit{horizontal distance}}{\uparrow \qquad \quad }}{\left( 3~~,~~8\frac{9}{10} \right)}}[/tex]

State the postulate or theorem you would use to prove each pair of triangles congruent.
a) SSS
b) SAS
c) ASA
d) AAS
e) HL
f) Not possible

Answers

Answer:

  c) ASA

Step-by-step explanation:

Angles at either end of the shared line segment are marked congruent, so the triangles can be shown to be congruent using the ASA postulate. (The shared segment is congruent to itself.)

A French class has a total of 31 students. The number of males is 7 more than the number of females. How many males and how many females are in the class?

Answers

Answer:

12

Step-by-step explanation:

What is the measure of _XYZ?
X
172
y
O A. 17°
V.
O B. 72°
55°
O C. 55°
w
D. 360

Answers

Answer: 35°

Step-by-step explanation: We have to find the measure of angle XYZ. We know, the angle subtended at the center is the average of the measure of arc intercepted by its angle and its vertical angles. Therefore, the value of ∠XYZ = 35°.

I hope this helps!

-Notsonerdy

ILL GIVE BRAINLIEST TO THE RIGHT ANSWER!!!!!

Write an equation involving absolute value for the graph.

Answers

Answer:

-3<lxl<5

Step-by-step explanation:

take least number than use x in absolute value bars than take highest number sorry if this is wrong I'm just a kid

How much would you have to deposit today to have an accumulated amount 20,000 in 20 years if yearly interest is 4.75% compounded continuously?

Answers

The principal investment required to get a total amount of $20,000.00 from compound interest at a rate of 4.75% per year compounded 12 times per year over 20 years is $7,749.34

Given data

Principal =?

Final amount = $20,000

rate = 4.75%

Time = 20 years

First, convert R as a percent to r as a decimal

r = R/100

r = 4.75/100

r = 0.0475 per year,

Then, solve the equation for P

P = A / (1 + r/n)^(nt)

P = 20,000.00 / (1 + 0.0475/12)^(12)(20)

P = 20,000.00 / (1 + 0.003958333)^(240)

P = $7,749.34

Learn more about Compounding interest at:

https://brainly.com/question/1570054

Mandy has 37 red markers and 24 green markers. She wants to place an equal number of markers on 4 tables. What is the greatest number of markers she could place on each table ? Explain please

Answers

Answer:

15 marker's

Step-by-step explanation:

37+24=61

61÷4=15.25

because she wants an even number of makers the answer is 15.

Y=1/3x-4 + Y=-7/3x+4

Answers

Answer:

-2

Step-by-step explanation:

if you arrange them over each other you get [tex]\frac{1}{3} -4 \\+\frac{-7}{3} +4[/tex]

the -4 and +4 cancel out to 0

and 1-7= -6

-6/3 is -2

is 7 a solution to 21-w<14?
(please answer asap!)

Answers

Answer:

no

Step-by-step explanation:

well, is 21-7 < 14?

A train travels 150 miles in three hours at the same rate how many miles will it travel in eight hours

Answers

Answer:400

Step-by-step explanation:

150 / 3 = 50 so 50 x 8= 400

three movie tickets cost 36$ at this same rate how much do 12 tickets cost

Answers

Answer:

$144

Step-by-step explanation:

Each ticket is $12.

Write the equation for the function graphed below

Answers

Answer:

Step-by-step explanation:

looks to be a parabola, so use vertex mode (h, k) =  (-1, 2)

y = a(x - h)² + k

y = a(x + 1)² + 2

another point on the curve seems to be (1, 6)

6 = a(1 + 1)² + 2

     1 = a

y = (x + 1)² + 2

or expand for standard form y = ax² + bx + c

y = (x² + 2x + 1) + 2

y = x² + 2x + 3

Other Questions
Dalton's Desserts made a batch of fresh scones with 9/10 of a pound of butter and 1/5 of a pound of sugar. How much more butter than sugar was used? i need help plz help write the slope intercept form of equation of line throug the given point a)parallel to b)perpendicular to given line 1) 4x-2y:3. (point 2,1)2)x+y:7 point(-3,2) Identify and explain three states that a volcanoes can exist in. A car is traveling at a constant speed of 65 miles per hour. Drag each list or statement below to show whether it describes the independent quantity or the dependent quantity. Define saturated and unsaturated fat. Give 2 examples of each. ABCD is a parallelogram. Determine the value of a. The functions r and s are defined as follows.r(x) = - 2x-1s(x)=x2-1=Find the value of r(s (3)). HELLPPPP PLEASEEEE IM GIVING 100 POINTSwhich is the equation of the line in slope-intercept formEnter your answer in the boxes Y=__x+__ Carbon in the atmosphere (CO2)Carbon in plants and animalsIt must move through at least 5 different living things (plants/animals) - be sure that the plants/animals would actually interact with each other in nature (ex no african lions eating arctic foxes) this may require a bit of research.Extra credit - show it becoming fossil fuels and the fossil fuels being burned to release CO2 back into the atmosphere.In plants/animals- either how its stored in the plant/animal then the plant/animal being eaten or the steps of cellular respirationIn plants- the steps of photosynthesis (how it goes from being CO2 to glucose)Paragraph / written story What class of lever is shown below?Question 4 options:First Class LeverSecond Class LeverThird Class LeverFourth Class Lever Samuel and Jason spend 3/4 of their combined earnings from Wednesday to buy a gift. Use a problem solving model to determine if there enough left over from Wednesday's earnings to buy a card that costs $3.25? Explain PLEASE HURRRRY During her vacation, Leslie traveled 578.78 miles in 3 days.On the first day, she traveled 197.07 miles, and on the second day, she traveled 187.11 miles. how many did she travel the 3rd day? Which expression is equal to seven more than a number multiplied by 9"?a. 9(x + 7)b. 7 + 9xc. 9x - 7d. 9 + 7x Question 50 A whistleblower is a person who does which of the following? a. Leaks the contents of a presidential speech to the press before it is given b. Is hired in excess of the true labor requirements of an agency c. Brings to public attention gross governmental inefficiency or illegal action d. Serves in the office of the ombudsman e. Finds ways to blame others to cover for his or her inadequacies work out m and c for the line: 5x-3y+4=0 how do you think the change from 260 to 220 BCE affected the lives of people in China? What is a product mix ? help!!!! PLEASEEE!!! The graph represents the fees in thousands of dollars, y, depending on the amount invested in millions, x, with one financial investment firm. Over what interval is the change constant? [0, 5) [1, 5) [0, 20) [1, 20)