which of the following choices are equivalent to the expression below? check all that apply

x^3 /5

Answers

Answer 1

The choices are equivalent to the expression correct choices are A, C, and D.

The given expression is

x^3 /5

What is the expression?

The expression consists of numbers and arithmetic operators. It does not contain equality or inequality symbols.

What is the power rule?

[tex]a^{\frac{m}{n} =\sqrt[n]{a^m}[/tex]

Therefore the above power rule implies that,

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

Also, we have the power rule

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

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

or it can be written as

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

The correct choices are A, C, D.

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Related Questions

Eugene's grandmother is teaching him how to make her salsa recipe. Each batch of salsa requires 1/4 of a cup of red onions. If they have 1 1/2 cups of red onions, how many batches of salsa can they make

Answers

Answer:

6

Step-by-step explanation:

6 times 1/4 is equal to 6/4, which is 1 1/2 :)

1 1/2 divided by 1/4. When dividing fractions, KFC (Keep, Flip, Change).

1 1/2 = 3/2

3 • 4
- - =
2 1

12
— =
2

6

NEED HELP ASAP
what is the y-intercept of the following function? How do you know?
f(x) = x^2 + 4x + 6

Answers

Answer:

The y-intercept is 6

Step-by-step explanation:

The y-intercept of a function is where the graph of an equation touches or crosses the vertical axis. This is usually the value of y when x = 0.

For this particular function, when x = 0 ⇒

f(0) = 0^2 + 4(0) + 6

= 0 + 0 + 6

= 6

Therefore, the y-intercept of this function is 6

Answer:

6

Step-by-step explanation:

the y-intercept is the last number of the equation

so because 6 is the last number, the y-intercept is 6

Cool Down: It's a Square
Find the area and side length of square ACEG

Answers

Answer:

See below

Step-by-step explanation:

Use pythagorean theorem to find the side of the triangle which is the side of the square

side = sqrt ( 8^2 + 4^2) = sqrt 80  units  = 4 sqrt 5 units

area = sqrt 80  *  sqrt 80    = 80   units ^2

Help lol

15. Find all polar coordinates of point P where P = ordered pair 9 comma negative pi divided by 5

Answers

If the polar coordinate of a point is (9, π/5). Then the cartesian coordiante will be (7.28, 5.29).

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

The polar coordimnate is given below.

P(9, π/5)

Then the cartesian coordinate will be

We know that the conversion of the polar coordinate to the cartesian coordinate.

(x, y) = (r cos θ, r sin θ)

Then we have

r = 9

θ = π/5

Then we have

x = 9 cos π/5

x = 7.28

y = 9 sin π/5

y = 5.29

Then the coordinate will be (7.28, 5.29).

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help me please!!!!!! giving out brainliest

Answers

Answer:

1 = 175ft cubed

2 = 58m cubed

3 = 140m cubed

4 = 180in cubed

Step-by-step explanation:

You have to split these complex shapes into parts and find the volume of each part.  Then, add the parts' volumes together, which will be the total volume of these.  The equation is V=bhw.  V means volume, b means base, h means height, and w means width.  Hope this helps!

Simplify each algebraic axpression 4y+6y+5x-2y


Answers

Answer:

8y+5x

If in the case you need any other help , let me know. [ You need to pay me] :) Thanks!

Answer:

The first step that we need to do is to combine like terms which means to add up all of the terms that have similar variables assigned to them.

[tex]4y + 6y + 5x - 2y[/tex]

[tex](4y + 6y - 2y) + 5x[/tex]

[tex]8y + 5x[/tex]

Therefore, our final answer is [tex]8y + 5x[/tex]

Hope this helps!  Let me know if you have any questions

If f(x) is an exponential function where f(2)=23 and f(3)=58, then find the value of f(6), to the nearest hundredth.

Answers

The exponential function is given as 3.68 × (2.52)ˣ. Then the value of function at x = 6 will be 942.43.

What is an exponent?

The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.

If f(x) is an exponential function where f(2) = 23 and f(3) = 58.

Then the exponential function will be

f(x) = abˣ

If f(2) = 23, then we have

23 = ab² ...1

If f(3) = 58, then we have

58 = ab³ ...2

Then from equations 1 and 2, we have

a = 3.62 and b = 2.52

Then the function will be

f(x) = 3.68 × (2.52)ˣ

Then the value of f(6) will be

f(6) = 3.68 × (2.52)⁶

f(6) = 3.68 × 256.1

f(6) = 942.43

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1. Juanita sold
of her lemonade before
4
noon and after noon. What fraction
2
of her lemonade did she sell in all?
A.
1
4
B.
3
4
C.
ON
D.
2
4

Answers

Answer:

the answer is 3/4

the answer is 3/4

What is a possible value for the missing term of the geometric sequence?

54, ___, 1944, ...

Answers

Answer:

324

Step-by-step explanation:

The missing term in this geometric sequence is the geometric mean of 54 and 1944.

[tex] \sqrt{54 \times 1944} = \sqrt{104976} = 324[/tex]

Answer:

324

Step-by-step explanation:

The formula for the missing term in a geometric sequence is the square root of x times y.

The volume of a beack ball is 905 square centimeters. Find the radius of the ball to the nearest whole number.​

Answers

given:

[tex]v = 905 \: {cm}^{3} [/tex]

to find:

the radius of the given ball (sphere).

solution:

[tex]r = \sqrt[3]{ \frac{3v}{4\pi} } [/tex]

[tex]r = \sqrt[3]{ \frac{3 \times 905}{4\pi} } [/tex]

[tex]r = 6 \: cm[/tex]

therefore, the radius of the ball is 6 cm.

note: refer to the picture I added on how you can change r as the subject of the formula.

Solution:

[tex]r = (3 \frac{v}{4\pi} {)}^{ \frac{1}{3} } [/tex]

[tex]r = (3 \times \frac{905}{4 \times \pi} {)}^{ ^{ \frac{1}{3} } } [/tex]

[tex]r = 6.00049 \: cm[/tex]

[tex]r = 6 \: cm[/tex]

Hence, the radius of the beach ball is 6 centimeters.

Note: please refer to the attachment.

helppppppppp!!!!! its due soon

Answers

Step-by-step explanation:

a.b=0.6×0.75

=0.45

a/b= 0.6/0.75

=0.8

pls pls pls pls help. im so stressed rn

Answers

Answer:

The function role is +2 for x, and -1 for y.

Step-by-step explanation:

The reason for my answer is because as you can see on the table;

For X, it starts at 0 and counts up by 2. For Y, it starts at 2 and counts back by 1.

A spinner with four sections is spun 30 times.

I accidentally pushed an answer and answer as quickly as possible please I really need this answer now please and thank you

Answers

Answer:

Answer Choice A aka 1/5 (0.2)

Step-by-step explanation:

B = 6/7+8+6+9

= 1/5

If the number of equally likely sample outcomes of a single stage of an experiment is 4, what is the total number of elements in the sample space if the experiment has 3 stages?

Answers

Answer



64

Step-by-step explanation:

4 x 4 x 4
so it's like you take 4 and 3 stage = 4 x 4 x 4

Hope it helped !
Have a nice day studying ! Mark me as Brainliest too Ty !

Pls help! The sum of the digits of a certain two-digit number is 5. When you reverse its digits you
decrease the number by 9. What is the number?

Answers

answer: 32

Consider 2 digit numbers whose sum is 5

5

x

0

5

+

0

=

5

4

x

1

4

+

1

=

5

3

x

2

3

+

2

=

5

Now reverse the digits and compare with original 2 digit number. Starting with 4 1

4

x

1

1

x

4

and

41

14

=

27

9

3

x

2

2

x

3

and

32

23

=

9

the number is

32

a group of 12 people must pay $435 to rent a chalet. to have access to 3 canoes, they must also pay a rental fee of $15 per boat.
how much did each people had to pay?

Answers

Answer: Each person had to pay $40

Step-by-step explanation:

435 + 15*3

435+45 = 480

480/12 = 40

Each person had to pay $40

IF G=(x)=x^2 find the value of g(4) + g(- 4)

THIS question is from the function chapter.​

Answers

Answer:

here is the answer ask if theres any prob

If a recipe requires 1/4 pounds of ground beef
to make 6 servings of chili, how many servings
can be made with 1 1/2 pounds of ground beef?

Answers

Answer:

36 servings

Step-by-step explanation:

1/4p = 6s

6(1/4p) = 6(6s)

1 1/2p = 36s

given the following exponential function identify whether the change represents growth or decay y= 56(0.91)^x

Answers

Answer:

Decay

Step-by-step explanation:

Any "r" value between 0 and 1 indicates an exponential function in decay. The "r" value is the one in the parentheses and raised to the exponent. In this case, the value is 0.91. This number falls within the "r" value boundaries of a decaying exponential function.

find the surface area of the figure. round to the nearest hundredth when necessary.

Answers

Answer:

in terms of pi: 112.5pi mm squared

substituting pi for 3.14: 353.25 mm squared

Step-by-step explanation:

Surface area cone equation:

Πr2 + π*r*s

4.5^2 = 20.25pi

400 + 20.25 = 420.25

sqrt(420.25) = 20.5

20.25pi + 92.25pi = 112.5pi

Help me on this math problem!! DUR TONIGHT!!(read all the instructions on the photo so you have all the needed answers)

Answers

Answer:

see the attachment!

#CarryOnLearning

Cooper has a points card for a movie theater. • He receives 70 rewards points just for signing up. • He earns 8.5 points for each visit to the movie theater. • He needs at least 260 points for a free movie ticket. Which inequality can be used to determine v, the minimum number of visits Cooper needs to earn his first free movie ticket?

FIRST TO ANSWER CORRECTY WILL BE MARK AS BRILLIANT !!!!​

Answers

Answer:

The correct answer is 70+8.5V > 260

Step-by-step explanation:

The equation of this is that instead of getting 260 points instantly he can get to 23 movies and earn the points each visits. So

8.5x23+70=265.5

Hence the correct answer is C

Monsieur Dufour prepares bread dough. It needs 4- cups of flour. To measure the amount of flour, he uses a half-cup container. How many half cups does Monsieur Dufour need to prepare his recipe?​

Answers

Answer:

He needs 8 half-cups.

Step-by-step explanation:

hi!

Monsieur Dufour needs 8 half cups of bread dough, because 4x2=8.

3.(-2x3y5) 2.y3
Power of a power

Answers

Answer: heyaa!!

-12x^{3}y^{8}

Step-by-step explanation:

Hopefully this helps you :)

- Matthew

HELPPP PLEASEEEEEE!!!!!!!!!1

Answers

Hi!

We can see the river is a straight line.

This means that the angles that fall upon it are supplementary angles, and will add up to 180 degrees.

Therefore:

[tex]x+2x+21=180[/tex]

Combine like terms:

[tex]3x+21=180[/tex]

Subtract 21 from both sides:

[tex]3x=159[/tex]

Divide both sides by 3:

[tex]x=53[/tex]

Therefore, the value of x is 53 degrees.

Identify the coordinates of four points on the line with each given slope and y-intercept. slope = 2/3 and y-intercept = -5.........PLEASE ANSWER ASAP

Answers

The linear equation is y = (2/3)*x - 5, and the 4 points in the graph are:

{ (-1, -17/3),  (0, -5), (1, -13/3),  (2, -11/3)}

How to identify the points on the line?

A linear equation written in the slope-intercept form is:

y = a*x + b

Where a is the slope and b is the y-intercept.

In this case, we have:

a = 2/3

b = -5

So our line is:

y = (2/3)*x - 5

To find the points, we need to evaluate the line in 4 different values of x.

We will use: x = -1, 0, 1, 2.

for x = -1 we have:

y = (2/3)*-1 - 5 = -2/3 - 5 = -17/3

So this gives the point (-1, -17/3).

for x = 0 we have:

y = (2/3)*0 - 5 = -5

So this gives the point (0, -5).

for x = 1 we have:

y = (2/3)*1 - 5  = -13/3

So this gives the point (1, -13/3).

for x = 2 we have:

y = (2/3)*2 - 5 = 4/3 - 15/3 = -11/3

So this gives the point (2, -11/3).

Then the 4 points are:

{ (-1, -17/3),  (0, -5), (1, -13/3),  (2, -11/3)}

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What is the volume of this rectangular prism?


16 cubic centimeters


96 cubic centimeters


160 cubic centimeters


192 cubic centimeters

Answers

Answer:

The volume of this rectangular prism is 96 cubic centimeters

Step-by-step explanation:

The volume of a rectangular prism = Length × width × height

= 8 × 6 × 2

= 96 cubic centimeters

Simplify by removing parentheses and then combining like terms:
(5a+2b)+(5a-3a)
(please please please help)

Answers

Answer:

7a + 2b

Step-by-step explanation:

Just remove the parentheses:

[tex]5a + 2b + 5a - 3a[/tex]

Combine like terms:

[tex]7a + 2b\\[/tex]

PLEASE ANSWER NOW

Which statement is false?

League Golf Scores

Question 5 options:

The difference between the highest score and lowest score is 38.

15 scores were less than 90


Someone had a score of 99


Three scores are in the 70's

Answers

Answer:

15 scores are less than 90

Step-by-step explanation:

Total 11 scores are less than 90 not 15

A history class is comprised of 10 female and 8 male students. If the instructor of the class randomly chooses 14 students from the class for an oral exam, what is the probability that 8 female students and 6 male students will be selected? Round your answer to 3 decimal places.

Answers

Step-by-step explanation:

I assume that one a student is picked for an oral exam, the same student will not be picked again.

the total number of possibilities to pick 14 students out of 18 is C(18, 14) = 18!/(14! × (18-14)!) = 18!/(14! × 4!) =

= 18×17×16×15/(4×3×2) = 18×17×2×5 =

= 3,060

how many of these possibilities contain exactly 8 girls and 6 boys ?

so, we choose 8 out of the 10 girls, and 6 out of the 8 boys.

that means

C(10, 8) × C(8, 6) = 10!/(8! × 2) × 8!/(6! × 2) =

= 10×9/2 × 8×7/2 = 5×9 × 4×7 =

= 45 × 28 = 1,260

so, the probability to have 8 girls and 6 boys in a random selection of 14 students out of 18 is

1260/3060 = 21/51 = 7/17 = 0.411764706... ≈ 0.412

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