which expression is equivalent to \root(3)(x^(5)y)

Answers

Answer 1

Answer:

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

Step-by-step explanation:

Given

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

Required

The equivalent expression

We have:

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

Rewrite as an exponent

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

Open bracket

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

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


Related Questions

(12, 9, 4) What is the area of the parallelogram shown below?

Answers

area of the parallelogram is: b x h

12 x 4 = 48 (d)

Martina is recording the percentages she earned on each quiz in her math class. Here are her results for the last 7 quizzes.
74, 64, 90, 74, 92, 68, 71
Find the range of the data set.

=___

Answers

Answer:

28

Step-by-step explanation:

Subtract highest number from lowest.

92-64 = 28

Solve for y, given that b=22(Round your answer to 1 decimal place, if necessary.)

Answers

Answer:

37.7

Step-by-step explanation:

First, we have to divde 22/7 to find the scale factor. I chose 22 and 7 because those two sides are ocngruent. We get 3.14. We then have to multiply 12 by 3.14 beacuse that is the side that is congruent with the side y. When you multiply you should get 37.68. Since we have to round we get 37.7.

Translate the following into an expression 45% of a

Answers

Answer:

Step-by-step explanation:

ok so this is pretty simple,

Imagine a was the number 1

45% of 1, which would obviously be

45/100 * 1

Same thing here but for the variable a.

45/100 * a!

That would be the algebraic expression for 45% of a!

Cheers! I hope you can understand the problem better now.

translate into an algebraic expression, find the number if 10% of it is m

Answers

Answer:

m/0.1

Step-by-step explanation:

--

we want to find it

-----

10%*x=m

OF means multiply

IT is any variable

IS is equal

10%*x=m

0.1*x=m

x=m/0.1 IN THE ANSWER DO NOT INCLUDE x

pls pls pls pls help

Answers

Step-by-step explanation:

[tex]s = \pi \times {r}^{2} = \pi \times {6}^{2} = 36\pi[/tex]

[tex]h = 18 \times \sin(60) = 9 \sqrt{3} [/tex]

[tex]v = s \times h = 36\pi \times 9 \sqrt{3} = 324 \sqrt{3} \pi[/tex]

9. Calculate the perimeter and the perimeter of a quadrant of a circle with radius 7 cm
correct to 3 significant figures.

Answers

Answer:

Circumference is 43.982 cm

Step-by-step explanation:

[tex]circumference = 2\pi r \\ = (2 \times 3.14 \times 7) \\ = 43.982 \: cm[/tex]

[tex]{ \underline{ \tt{ ‡†‡ \: \: trent008}}}[/tex]

HELP PLEASE BRAIN FOR CORRRECT

Answers

Answer:

1/6

Step-by-step explanation:

you divide y by x

y ÷ x

each column when you you divide y by x the answer is 1/6

Please help me solve this quickly!

Answers

Answer:

33.80

Step-by-step explanation:

AB = BC = AD√2

AB = BC = 7√2

AD = DC

AC = 2AD

perimeter = AC + AB + BC

= 2AD  + 2AB

= 2(7) + 2(7√2)

= 14 + 14√2

≈ 33.80

Answer:

33.8

Step-by-step explanation:

45-45-90 degree triangle rules states that the sides that are opposite the angles measure 45 degrees have the same value. That means that BD has the same value as AD, which is 7. Since triangle BDC is also a 45-45-90 degree triangle, DC is equal to BD, which is 7. We have the value of AC, which is 7+7=14. Now, we can use the Pythagorean theorem to figure out BC and AB. We know that [tex]DC^2+BD^2=BC^2[/tex]. We know that DC and BD is equal to 7, so we can simplify that to [tex]49+49=BC^2[/tex], and we can further simplify that to [tex]BC=\sqrt{98}[/tex]. This is also equal to [tex]7\sqrt{2}[/tex]. Since BC is also equal to AB because of 45-45-90 degree triangle rules, we have the perimeter of the triangle as

[tex]7\sqrt{2} + 7\sqrt{2}+14[/tex], which is equal to [tex]14\sqrt{2} + 14[/tex]. We can simplify 14 times the square root of 2 as 19.8 (rounded to 2 decimal places). We have the answer as 19.8 + 14, which is 33.8.

Help plz and thanks

Answers

I’d say -5 degrees Celsius


Sine and cosine ratios! help!!

Answers

The answer is b the second one is the correct answer

michael is making a square pyramid out of paper for a school project .he cuts a piece of paper with the dimensions shown to make the pyramid .what is the approximate surface area of the pyramid ?

Answers

Answer:

273.2

Step-by-step explanation:

Surface area of the pyramid=Area of square+4*area of triangle

Surface area of the pyramid=10^2+2*(8.66)*10

Surface area of the pyramid=100+173.2=273.2

Does the verbal description c minus 12

Answers

Answer:

Yes.

Step-by-step explanation:

Minus and difference mean the same thing. To find the difference, you subtract or minus, so they are the same thing.

find the ratio in which the point P(5,3) divides the line joining the points A(2,3) and B(7,3)
Answer should come 3:2 please help​

Answers

9514 1404 393

Answer:

  3 : 2

Step-by-step explanation:

We notice that P is on the horizontal line segment AB, so we can find the ratio by looking at the x-coordinates only.

  AP : PB = (P -A) : (B -P)

  = (5 -2) : (7 -5) = 3 : 2

In January Mr.Tan's students read 20 books. In February, they read 15 books. What is the percent increase or decrease in the number of books the read?

Answers

Answer:

there is a 25% decrease in books being read

how do i solve this any one know pls help me

Answers

i think it might be 15.7 sorry if i’m wrong

Answer: 5π         OR       15.70796327

Step-by-step explanation:

Formula for circumference is C=2πr (radius)   OR      C=πd    (diameter)

Our radius is 5 units, so our diameter is 10 units

C=10π

However, the question is only asking for length of semicircle

So you have to divide: 10π/2=5π

please answer all three.​

Answers

Answer:

842.04 cm³

Step-by-step explanation:

Cylinder:

diameter = 6 cm

r = 6/2 = 3cm

h = 4 cm

Volume of cylinder = πr²h

                               = 3.14 * 3 * 3 * 4

                               = 113.04 cm³

Cube:

side = 9 cm

Volume of cube = side * side *side

                           = 9*9*9

                             = 729 cm³

Volume 0f composite figure = volume of cylinder + volume of cube

      = 113.04 + 729

      = 842.04 cm³

Answer:

1181.16

Step-by-step explanation:

Cylinder + Cube = 1181.16

find the measure of x and y​

Answers

Answer:

x = 94, y = 76

Step-by-step explanation:

The opposite angles of a cyclic quadrilateral sum to 180° , then

x + 86 = 180 ( subtract 86 from both sides )

x = 94

and

y + 104 = 180 ( subtract 104 from both sides )

y = 76

Please help!!! question b do as directed

Answers

Answer:

question b do as directed

Step-by-step explanation:

can you say again

Please help me fill in those couple blanks I’m really struggling

Answers

y = x^2 - 8x + 3

y - 3 = x^2 - 8x + 3 - 3

y - 3 = x^2 - 8x + ___

c = (8/2)^2 = 16

y - 3 + 16 = x^2 - 8x + 16

y + 13 = (x - 4)^2

y + 13 - 13 = (x - 4)^2 - 13

y = (x - 4)^2 - 13

Vertex: (4, -13)

Hope this helps!


Which linear equation fits this line?
a. O2 y - x = 2
b. O2 y = 2 + x
C. O2 y + x = 2

Answers

Answer:

c

Step-by-step explanation:

can you help me find the slope intercept on the second one?

Answers

Answer:

y= 8x + 5

Step-by-step explanation:

y = 8x + b

5 = 8(0)+b

b = 5

What are the solutions of the following system?

Answers

Answer:

(0,-5) and (-4,3) are the points to the equations.

Step-by-step explanation:

Solution:

Step 1: Make an equation for y to substitute to the first equation.

x^2+y^2=25

y=-2x-5

Step 2: Substitute the y-value to the first equation.

x^2+(-2x-5)^2=25

x^2+4x^2+20x+25=25

Our x-values would be 0, and -4.

Step 3: Solve for the y-values by substituting 0 and -4 to the equation y=-2x-5.

y=-2(0)-5=-5 and makes the ordered pair (0,-5)

y=-2(-4)-5=3 and makes the ordered pair (-4,3)

Therefore our answers would be (0,-5) and (-4,3)

Answer:

(-4;3), (0;-5)

Step-by-step explanation:

Convert
4 feet to inches
5 kilometers to meters
6 quarts to gallons, and
2,000 grams to kilograms

Answers

Answer:

1. 4ft=48inches

2. 5km=5,000m

3. 6 quarts=1,5 gallons

4. 2,000 grams=2km

Step-by-step explanation:

1. To convert feet to inches, multiply the number (4) by 12.

2. 1 Kilometer (km) is equal to 1000 meters (m). To convert kilometers to meters, multiply the kilometer value by 1000.

3. divide the volume value by 4

4. To convert grams to kilograms, you divide the number of grams you have by 1000

4 feet = 48 inches

5 kilometers = 5,000 meters

6 quarts = 1.5 US gallons

2,000 grams = 2 kilograms

List pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar polygons. Given ABDF ~ VXZT



** I NEED HELP I KEEP GETTING IT WRONG**

Answers

Given:

[tex]ABDF\sim VXZT[/tex]

To find:

The pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar polygons.

Solution:

We have,

[tex]ABDF\sim VXZT[/tex]

The corresponding angles of similar polygons are congruent. So,

[tex]\angle A\cong \angle V[/tex]

[tex]\angle B\cong \angle X[/tex]

[tex]\angle D\cong \angle Z[/tex]

[tex]\angle F\cong \angle T[/tex]

The corresponding sides of similar polygons are proportional. So,

[tex]\dfrac{AB}{VX}=\dfrac{BD}{XZ}=\dfrac{DF}{ZT}=\dfrac{A F}{VT}[/tex]

Therefore, the required solutions are [tex]\angle A\cong \angle V,\angle B\cong \angle X,\angle D\cong \angle Z,\angle F\cong \angle T[/tex] and [tex]\dfrac{AB}{VX}=\dfrac{BD}{XZ}=\dfrac{DF}{ZT}=\dfrac{A F}{VT}[/tex].

Identify the recursive formula for the sequence –3, 9, –27, 81, . . . .

Answers

Answer:

Hello,

Answer A

Step-by-step explanation:

[tex]a_n=(-3)*a_{n-1}\\a_1=-3\\Answer\ A[/tex]

Option A is correct -

[tex]f(n)=\left \{ {{f(1)=-3} \atop {f(n)=-3f(n-1)\;\;n > 1}} \right.[/tex]

We have a sequence : –3, 9, –27, 81, . . . .

We have to find the recursive formula for this sequence.

What is the formula to find the recursive of a Geometric sequence?

The formula to find the recursive of geometric sequence is -

[tex]a_{n} =ra_{n-1} \;\;\;\;for\;n\geq 2[/tex]

We have the following sequence -

–3, 9, –27, 81, . . . .

First let's see if it is a geometric sequence or not. For a sequence to be a geometric sequence -

[tex]\frac{9}{-3} =\frac{-27}{9} =\frac{81}{-27}= -3=r[/tex]

Hence, it is a geometric sequence with r = -3.

Substituting the value of r in the formula of recursive, we get -

[tex]a_{n} = -3a_{n-1}[/tex]    and      [tex]a(1)=-3[/tex]

Hence, Option A is correct.

To solve more questions on finding the recursive of a sequence, visit the link below -

brainly.com/question/24506976

#SPJ2

The slope (m) and the y-intercept (b) of the line 2x + 3y = 12 is:

Answers

Step-by-step explanation:

[tex]2x + 3y = 12 \\ 3y = - 2x + 12 \\ y = - \frac{2}{3} x + 4[/tex]

slope is -2/3

y intercept is 4

Answer:

The slope is -2/3 and the y intercept is 4

Step-by-step explanation:

2x + 3y = 12

Slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

2x + 3y = 12

Subtract 2x from each side

2x-2x+3y = -2x+12

3y = -2x+12

Divide by 3

3y/3 = -2x/3 +12/3

y = -2/3 x +4

The slope is -2/3 and the y intercept is 4

The diagram above shows a plan for a park. ABCD is a rectangle.
APB and DQC are semicircles centred at X and Y.
Given AB = 7 cm and AC = 25 cm.
Calculate the perimeter of the park in cm.​

Answers

Answer:

Perimeter of the park = 70 cm

Step-by-step explanation:

Perimeter of the park = perimeter of the 2 semicircles + 2(length of the rectangle)

Perimeter = 2πr + 2(BC)

✔️Perimeter of the 2 semicircles = 2πr

Where,

radius (r) = ½(AB) = ½(7)

r = 3.5 cm

Perimeter = 2*π*3.5 = 7*π

Perimeter of the two semicircles = 21.9911486 ≈ 22 cm

✔️Find BC using Pythagorean theorem:

Thus,

BC = √(AC² - AB²)

AC = 25

AB = 7

BC = √(25² - 7²) = √576

BC = 24

✔️Perimeter of the park = perimeter of the 2 semicircles + 2(length of the rectangle)

Perimeter of the park = 22 + 2(24)

= 22 + 48

= 70 cm

Cho tứ diện ABCD . Trên cạnh AB lấy điểm M , AC lấy N , trong tam giác BCD lấy điểm P tìm giao điểm

a, MP và (ACD)

b, AD và ( MNP)

c , BD và ( MNP)

Answers

Answer:

a.  Trong mp (BCD), nối BP cắt CD tại E

Trong mp (ABP), nối MP cắt AE kéo dài tại F (trong trường hợp MP không song song AE)

⇒F=MP∩(ACD)⇒F=MP∩(ACD)

b. Nếu MN cắt BC, kéo dài MN cắt BC tại G

Nối GP cắt BD tại H

Trong mặt phẳng (ABD), nối MH cắt AD tại K (trong trường howph MH ko song song AD)

⇒K=AD∩(MNP)⇒K=AD∩(MNP)

c. H=BD∩(MNP)

Step-by-step explanation:

Will Mark brainlest help please please please​

Answers

Answer:

1

Step-by-step explanation:

so, the function is defined as coordinate pairs.

the first coordinate is x (and is the input variable), the second is y (the function result).

a function result is sometimes also called image, as some input information is converted into something else that can then be used, seen, stored, ...

so, the function result = y = 2 and is the result of x²+1.

2 = x² + 1

1 = x²

x = 1

so, 1 is the "pre-image" of 2 for this function. as 2 is the image of 1 under this function.

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