A student simplified the rational expression
using the steps shown.
(x^2/5 • x^4/5 / x^2/5)^1/2 = (x^6/5/x^2/5)^1/2=(x^3)^1/2=x^3/2
Is the answer correct? Explain.

A Student Simplified The Rational Expressionusing The Steps Shown.(x^2/5 X^4/5 / X^2/5)^1/2 = (x^6/5/x^2/5)^1/2=(x^3)^1/2=x^3/2Is

Answers

Answer 1

Answer:

Does the answer help you?

A Student Simplified The Rational Expressionusing The Steps Shown.(x^2/5 X^4/5 / X^2/5)^1/2 = (x^6/5/x^2/5)^1/2=(x^3)^1/2=x^3/2Is
A Student Simplified The Rational Expressionusing The Steps Shown.(x^2/5 X^4/5 / X^2/5)^1/2 = (x^6/5/x^2/5)^1/2=(x^3)^1/2=x^3/2Is
Answer 2

Answer:

[tex]\textbf{No, the answer is not correct }[/tex].

Step-by-step explanation:

The student didn't use the quotient of powers property correctly. Instead of subtracting, the student divided the exponents within the parenthesis. So, x to the two-fifths power is the correct simplified form.

[tex](\frac{x^{2/5}\times x^{4/5} }{x^{2/5} } )[/tex]

[tex]=(\frac{x^{6/5} }{x^{2/5} } )^{1/2}[/tex]

[tex]=x^{6/5-2/5} )^{1/2}[/tex]

[tex]=(x^{4/5} )^{1/2} =x^{2/5}[/tex]

OAmalOHopeO


Related Questions

Guys Help me

Does (4, 7) make the equation y = 2x + 7 true?

Answers

Answer:

false

Step-by-step explanation:

x=4andy=7

2×4+7 isnot equal to 7

Answer:

Tue equation is

y=2x+7

So, the answer is

(2,7)

And (4,7) is wrong

a^4+b^4 phân tích thành nhân tử

Answers

a^4+b^4=(a^2)^2+(b^2)^2

=(a^2+b^2)^2–2a^2b^2

=(a^2+b^2)^2—(√ 2ab)^2

=(a^2+√ 2ab+b^2)(a^2-√ 2ab+b^2)

Must click thanks and mark brainliest

Please help ASAP!!!! What is the length of BC?

Answers

Answer:

x=24

Step-by-step explanation:

Answer:

BC = 24

Step-by-step explanation:

Since ∠ B and ∠ C are congruent the the triangle is isosceles with

AC = AB , that is

3x - 15 = x + 33 ( subtract x from both sides )

2x - 15 = 33 ( add 15 to both sides )

2x = 48 ( divide both sides by 2 )

x = 24

Then

BC = x = 24

Please help me with this problem.

Answers

Answer:

1/4a -1/6b + 1/10c

Step-by-step explanation:

1/2 a  -1/3 b + 1/5c   + -1/4a + 1/6 b - 1/10c

Combine like terms

1/2a - 1/4a   -1/3b + 1/6b    +1/5c - 1/10 c

2/4a -1/4a    -2/6b + 1/6b   +2/10c -1/10c

1/4a -1/6b + 1/10c

1/2a-1/3b+1/5c+(-1/4a)+1/6b-1/10c1/2a-1/4a-1/3b+1/6b+1/5c-1/10c2-1/4a-2+1/6b+2+2-1/10c1/4a-1/6b+1/10c

What is the value of f ^-1 (0)? ( photo given )

PLEASE HELP ME, I would greatly appreciate it !!! ​

Answers

Answer:

[tex] {f}^{ - 1}(0) = 6[/tex]

Step-by-step explanation:

When trying to solve for inverses, we are given a y value in place of an x value. Thus we are solving for the x value which the given y value corresponds to.

How many different numbers are possible?

A personal identification number consists of 3 letters followed by 3 digits. The letters X, Y, and Z are not used and the last digit cannot be 0 or 9.

Answers

Each of the first 3 letters can be chosen from the 23 letters, {A, B, C, …, U, V, W}, so there are 23³ possible choices.

The first 2 digits can be any number from {0, 1, 2, …, 9}, so there are 10² choices.

The last digit cannot be 0 or 9, so you can select from {1, 2, 3, …, 8} which gives 8 choices.

Then the total number of PINs that you can make is

23³ × 10² × 8 = 9,733,600

James brought a dress & t-shirt for $85 and it is 5 times as much as t-shirt how much did James pay for the t-shirt.

Answers

Answer:

$17

Step-by-step explanation:

You reverse the operation, and you do 85 divided by 5, which is 17. Have an amazing day!!

a bag contains 10 white balls and 14 red balls.a ball is taken out of the bag,what is the probability that it is a red ball​

Answers

Answer:

7/12

Step-by-step explanation:

Total = 10W+14R

probability of red = R/total

10+14 = 24 so total = 24

R = 14

14/24

reduce (divide by two on the top and bottom)

14/2

-------

24/2

= 7/12

Solve the system of equations below by graphing both equations with a
pencil and paper. What is the solution?
y=-x-1
y= x+3
A. (0,3)
B. (-2,1)
C. (-1,2)
O D. (0, -1)

Answers

your answer would be b,
you can use desmos and type the two equations in and graph for you :)

Simplify as far as possible;
x²+ 3x²-4x²+5x

Answers

Answer:

5x

Step-by-step explanation:

[tex] {x}^{2} + {3x}^{2} - {4x}^{2} + 5x \\= 4 {x}^{2} - 4 {x}^{2} + 5x \\ = 5x[/tex]

Two traffic lights both turn green at 1:20 pm. One light is on a 72-second 0cycle from green back to green while the other light is on a 1-minute cycle. After how many minutes will they again turn green together?

Answers

Answer:

32

Step-by-step explanation:

Answer:

6 minutes

Step-by-step explanation:

1 minute = 60 seconds

LCM of 60 and 72 = 360

360 seconds = 6 minutes

Solve the following quadratic function
by utilizing the square root method.
y = 100 – x2

Answers

Answer:

x = ± 10

Step-by-step explanation:

To solve the equation let y = 0 , that is

0 = 100 - x²( add x² to both sides )

x² = 100 (I take the square root of both sides )

x = ± [tex]\sqrt{100}[/tex] = ± 10

Then solution is x = - 10, x = 10

Answer:

10

Step-by-step explanation:

the guy on top put -10 he's right but it's just 10

The ratio between the distances of two cities from a third city is 7:8. If the total distance is 150 km, what are the distances of the two cities from the third one?

Answers

Answer:

70km and 80km

The option you chose is correct

Answer:

70 km and 80 km.

First city:

[tex]{ \tt{ = \frac{7}{15} \times 150 }} \\ = 70 \: km[/tex]

Second city:

[tex]{ \tt{ = \frac{8}{15} \times 150}} \\ = 80 \: km[/tex]

Please help urgent!!! Find the value of x in the triangle shown below!

Answers

Answer:

Step-by-step explanation:

so we know a few things about t his triangle,  it's a special one  :P  ,   it's called isosceles because  two of the legs are the same length, which also mean that the angle x  is the same at the other unknown angle sooo  there are  2 x's   if that makes sense?  and then we can solve this , b/c we also know that the interior angles of a triangle add up to 180°

180 = 32 + 2x

148 = 2x

74 =x

∠x = 74°

Please help me out . Find x please

Answers

Answer:

on my screen I cant see anything sorry!

Step-by-step explanation:

There are 8.54 grams of sugar in 7 servings of grapes. How many grams of sugar are in a single serving of grapes?

Answers

Answer:

1.22

Step-by-step explanation:

divide 8.54 by 7 to get one serving

The table below shows some inputs and outputs of the invertible function f with domain all real numbers.

PLEASE HELP ME!!!!! ( photo given ) ​

Answers

Answer:

-6, 0

Step-by-step explanation:

since the first question is a inverse function, the -15 isn't an x value anymore so it is a y.

the second question is the same thing for the 4 because it is an inverse function. so that would be -11, and the function of 9 you would look at the x value of 9 and find the corresponding y, which 11. so -11+11 =0

As an estimation we are told 5 miles is 8 km.
Convert 34.5 km to miles.

Answers

Answer:

The answer is 21.43731

Write an equation of a line perpendicular to y = -1/5x + 5
that passes through the point (-1,-3)
Select one:
a. y = 5x + 2
b.y = 2x - 5
c.y = -5x - 5
d. y = -5x + 2

Answers

A. y=5x+2
Please like

mathematics question ​

Answers

Answer:

it's option B the second one

The above answer is correct

1 pump can fill a pool in 8 hours the other pump can fill the pool in 10 hours if both of the pumps were turned on at the same time to fill the pool how long will it take

Answers

Answer:

4 4/9 hours

Step-by-step explanation:

In one hour pump1 can fill 1/8 of the tank and pump2 can fill 1/10 of the tank.

Two pumps can fill:

1/8 + 1/10 = 5/40 + 4/40 = 9/40 of the tank in one hour

Time required to fill the tank:

1/(9/40) = 40/9 = 4 4/9 hours

The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is , where l represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle? 7 in. 8 in. 9 in. q 10 in.​

Answers

Answer:

B) 8in

Step-by-step explanation:

SOMEONE HELP ME PLEASE
Decide if the following scenario involves a permutation or combination. Then find the number of possibilities.

You are setting the combination on a five-digit lock. You want to use the numbers 12345 but you don't care what order they are in.

Answers

Answer:

It's a combination, BUT...

Step-by-step explanation:

Definition: A combination is a grouping of outcomes in which the order does not matter. That's the difference between combination and permutation.

Combination Formula: nCr = (n!)/[r!(n-r)!)] where n stands for number of things and r the pair chosen

Applied to this case: We have n=5 (12345) and r=5 for the 5-digit lock combination.

5C5 = (5!)/[5!(5-5)] = 1

But!! As you can see, we cannot have 1 possible combinations so.. We have to assume that this is a permutation!!! Conceptually, this looks pretty much like a combination, but being the same range as number of items, we conclude that it's a permutation.

Permutation Formula: nPr = (n!)/(n-r)!

nPr = (5!)/(5-5)! = 120

Well, this looks way more accurate now, right?

Final Answer: The scenario involves a permutation, and there's 120 possible combinations of those 5 numbers in a 5-digit lock.

PLEASE HELPP URGENT
20 points!!!

Answers

If you're talking about the second part of the question where it asks you which facts you included in your answer, you can choose any of them and it will be counted right.

the verticies of the triangle OAB are the origin O, A(-15,0) and B(0,8)

What is the relationship between G and the triangle OAB

G(-7.5,4)

Answers

Answer:

G is the midpoint of the side [tex]\overline {AB}[/tex] of triangle ΔOAB

Step-by-step explanation:

The vertices of the triangle ΔOAB are A(-15, 0), B(0, 8), and C(0, 0)

The coordinates of the point G =  (-7.5, 4)

The length from the point A to the point G, [tex]\overline {AG}[/tex] is given as follows;

[tex]\overline {AG} =\sqrt{(-7.5 - (-15))^2 + (4 - 0)^2} = \sqrt{7.5^2 + 4^2} = 8.5[/tex]

The length from the point A to the point B, [tex]\overline {AB}[/tex] is given as follows;

[tex]\overline {AB} =\sqrt{(-15 - 0)^2 + (8 - 0)^2} = \sqrt{15^2 + 8^2} = 17[/tex]

Therefore, the point G is the half way mark of [tex]\overline {AB}[/tex] = The midpoint of the side  [tex]\overline {AB}[/tex]

Let $x$ be the smallest number in the following list, and let $y$ be the second smallest number (that is, the smallest number other than $x$). \[ 5, \qquad -22, \qquad \frac{-4}{7}, \qquad \frac{-3}{-5}, \qquad 3, \qquad \frac{-8}{13} \]Find $\frac{x-y}{y}$. Express your answer as a fraction in simplest form.

Answers

Answer:

139/4

Step-by-step explanation:

and find that\[

\frac{4}{7}\cdot \frac{13}{13} = \frac{4\cdot 13}{91}=\frac{52}{91}, \text{and}

\]\[

\frac{8}{13}\cdot \frac{7}{7} = \frac{8\cdot 7}{91} = \frac{56}{91}.

\]Thus $\frac{8}{13}$ is larger than $\frac{4}{7}$, which tells us that $-\frac{8}{13}$ is smaller than $-\frac{4}{7}$. Thus, $x=-22$, $y=-\frac{8}{13}$, and\begin{align*}

\frac{x-y}{y}&=\frac{-22-\left(-\frac{8}{13}\right)}{-\frac{8}{13}}\\

&=\left(-22\cdot \frac{13}{13}+\left(\frac{8}{13}\right)\right)\cdot \left(-\frac{13}{8}\right)\\

&=\left(\frac{-286+8}{13}\right)\cdot \left(-\frac{13}{8}\right)\\

&=\left(-\frac{278}{13}\right)\cdot \left(-\frac{13}{8}\right)\\

&=\boxed{\frac{139}{4}}.

\end{align*}

4(x-3)+5x-x^2 for x=3

Answers

Answer:

6

Step-by-step explanation

Answer:

6

Step-by-step explanation:

plug in the 3

4(3-3)+5(3)-3^2

4(0)+15-9

0+15-9

15-9

6

yes or no? please help

Answers

Answer:

yes

Step-by-step explanation:

....

!!Plz urgent help!!
this triangular prism can contain that holds beads that are spherical and each 0.525 cm. How many
beads can fit inside this container?
Will mark brainliest

Answers

Answer:

890 beads can be fitted in the triangular prism.

Step-by-step explanation:

If we can fill the spherical beads completely in the triangular prism,

Volume of the triangular prism = Volume of the spherical beads

Volume of triangular prism = Area of the triangular base × Height

From the picture attached,

Area of the triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                             = [tex]\frac{1}{2}(AB)(BC)[/tex]

By applying Pythagoras theorem in the given triangle,

AC² = AB² + BC²

(13)² = 5² + BC²

169 = 25 + BC²

BC² = 144

BC = 12

Area of the triangular base = [tex]\frac{1}{2}(5)(12)[/tex]

                                             = 30 cm²

Height of the triangular prism = 18 cm

Volume of the triangular prism = 30 × 18

                                                   = 540 cm³

Volume of one spherical bead = [tex]\frac{4}{3}\pi r^{3}[/tex]

                                                   = [tex]\frac{4}{3}\pi (0.525)^{3}[/tex]

                                                   = 0.606 cm³

Let there are 'n' beads in the triangular prism,

Volume of 'n' beads = Volume of the prism

540 = 0.606n

n = 890.90

n ≈ 890

Therefore, 890 beads can be fitted in the triangular prism.

Select all that apply.
What are the angle measures in a 30-60-90 right triangles?
90°
150°
60°
120°
30°

Answers

Answer:

90°,60°&30°

Step-by-step explanation:

A 30-60-90 triangle is a right triangle with angle measures of 30º, 60º, and 90º (the right angle). Because the angles are always in that ratio, the sides are also always in the same ratio to each other.

Other Questions
Polygon ABCD is plotted on a coordinate plane and then rotated 90 clockwise about point C to form polygon ABCD. Match each vertex of polygon ABCD to its coordinates. me ayudan porfa hacer una introduccin no verbal de la pintura Cul es el pas hispanohablante de Sudamrica msgrande?_____ es el pas hispanohablante ms grande. A manufacturer of industrial solvent guarantees its customers that each drum of solvent they ship out contains at least 100 lbs of solvent. Suppose the amount of solvent in each drum is normally distributed with a mean of 101.8 pounds and a standard deviation of 3.76 pounds.Required:a. What is the probability that a drum meets the guarantee? Give your answer to four decimal places.b. What would the standard deviation need to be so that the probability a drum meets the guarantee is 0.99? La tasa de m0rtalidad por c0vid-19 en el departamento de Guair en los meses de abril y mayo en ParaguayComo se hace :( ? If 56 grams of carbon monoxide burns in oxygen to produce 88 grams of carbon dioxide, the mass of oxygen involved in the reaction is grams. Can anyone please help? write fade in shorthand How many cost units are spent in the entire process of performing 40 consecutive append operations on an empty array which starts out at capacity 5, assuming that the array will grow by a constant 2 spaces each time a new item is added to an already full dynamic array Which of these affect real investment value? Check all that apply In not more than 250 words write a letter to your friend in another town tell him about three things that make you feel happy in your school. A nylon string on a tennis racket is under a tension of 285 N . If its diameter is 1.10 mm , by how much is it lengthened from its untensioned length of 29.0 cm ? Use ENylon=5.00109N/m2. 1. Find x.Please help ASAP Why do you think King Hrothgar called upon Beowulf to help him slay Grendel? What did the United States call the group of ships preventing Soviet deliveries to Cuba? A. an act of war B. a quarantine C. a blockade D. setup how does heavy consumption of alcohol affect reproductive system of humans?1. it increases the frequency of menstruation in women.2. it increases testosterone production and sex drive in men3. it shrinks the size of the testicles4. it increases testosterone producing in women 17. ralph is 3 times as old as sarah. in 4 years ralph will only be twice as old as sara will be then. find ralphs age now. Write the word that is part of speech indicated in the parenthesis Adaptation:Question 4Which phrase indicates that organisms in a population with the best-adapted set of traits become more common over time?Select one:Mutations are not harmful.Bigger is better.All organisms have a common ancestor.Survival of the fittest. Joan conducted a study to see how common binge drinking is on her college campus. She defined frequent binge drinking as having five or more drinks in a row three or more times in the past two weeks. Out of 593 students who replied to her survey, 64 fit this criterion. What is the 99% confidence interval for this population proportion? Answer choices are rounded to the hundredths place.