Which expression is equivalent to 3 sqrt32x8y10?

O 4x2y3(3 sqrt2x2y)
O 2x4y5(3 sqrt4)
O 2x2y3(3 sqrt4x2y)
O 4x4y5(3 sqrt2)​

Which Expression Is Equivalent To 3 Sqrt32x8y10? O 4x2y3(3 Sqrt2x2y)O 2x4y5(3 Sqrt4) O 2x2y3(3 Sqrt4x2y)

Answers

Answer 1

Answer: [tex]2x^{2} y^{3} (\sqrt[3]{4x^{2} y} )[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{32x^{8} y^{10} } =\sqrt[3]{2^{3} \cdot 2^{2} \cdot x^{2} \cdot (x^{2} )^{3} \cdot y \cdot (y^{3})^{3} } =2x^{2} y^{3} (\sqrt[3]{4x^{2} y} )[/tex]

Answer 2

Answer:

Option C :

               [tex]\sqrt[3]{32x^8y^10} = 2x^2 y^3 \sqrt[3]{4x^2 y}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{32x^8y^{10}}} = ( 32 x^8 y^{10})^{\frac{1}{3}}[/tex]

              [tex]= ( 2^5 \times x^8 \times y^{10})^{\frac{1}{3}}\\\\= ( 2^{5\times\frac{1}{3}} \times x^{8 \times \frac{1}{3}} \times y^{10 \times \frac{1}{3}})\\\\=(2^{\frac{3}{3} + \frac{2}{3}}} \times x^{\frac{6}{3} + \frac{2}{3}} \times y^{\frac{9}{3} + \frac{1}{3}})\\\\= 2 \times 2^{\frac{2}{3}} x^2 \times x^{\frac{2}{3}} \times y^3 \times y^\frac{1}{3}\\\\=2x^2 y^3 \times 2^{\frac{2}{3} \times }x^{\frac{2}{3}} \times y^{\frac{1}{3}}\\\\=2x^2 y^3 (2^2x^2 y)^{\frac{1}{3}}\\\\= 2x^2y^3 \ \sqrt[3]{ \ 4 x^2 \ y }[/tex]


Related Questions

Which expression is equivalent to -51 - (-60)−51−(−60)

Answers

Answer:

18

Step-by-step explanation:

Always remember negative x negative = positive

-51-(-60)-51-(-60)

-51+60-51+60

9+9

18

I don't know what are the expressions but try yourself

Believe in yourself you can do it

Solve the inequality for x
3^(6x+18)<27^(3x)

Answers

Answer:

[tex]\displaystyle x > 6[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsFactoring

Algebra II

Exponential Rule [Powering]: [tex]\displaystyle (b^m)^n = b^{m \cdot n}[/tex]Solving exponential equations

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle 3^{6x + 18} < 27^{3x}[/tex]

Step 2: Solve for x

Rewrite:                                                                                                             [tex]\displaystyle 3^{6x + 18} < 3^{3(3x)}[/tex]Set:                                                                                                                     [tex]\displaystyle 6x + 18 < 3(3x)[/tex]Factor:                                                                                                               [tex]\displaystyle 3(2x + 6) < 3(3x)[/tex][Division Property of Equality] Divide 3 on both sides:                                  [tex]\displaystyle 2x + 6 < 3x[/tex][Subtraction Property of Equality] Subtract 3x on both sides:                       [tex]\displaystyle -x + 6 < 0[/tex][Subtraction Property of Equality] Subtract 6 on both sides:                        [tex]\displaystyle -x < -6[/tex][Division Property of Equality] Divide -1 on both sides:                                 [tex]\displaystyle x > 6[/tex]

Answer:

[tex]x>6[/tex]

Step-by-step explanation:

When given the following equation;

[tex]3^(^6^x^+^1^8)<27^(^3^x^)[/tex]

One is asked to solve for ([tex]x[/tex]). The inequality has exponents, hence, it appears daunting at first, however, the easiest way to deal with exponents is to bring them to the same base. This allows for one to have the ability to treat the exponents like an ordinary number. Since ([tex]27=3^3[/tex]) one can rewrite ([tex]27^(^3^x^)[/tex]) as ([tex]3^3^*^(^3^x^)[/tex]). This is possible because raising a number to an exponent when it already has an exponent is the same as multiplying the two exponents. Rewrite the inequality in this format;

[tex]3^(^6^x^+^1^8)<3^3^(^3^x^)[/tex]

Simplify,

[tex]3^(^6^x^+^1^8^)<3^(^9^x^)[/tex]

Since the bases are the same they no longer have any relevance, so one can ignore the bases and only work with the exponents,

[tex]6x+18<9x[/tex]

Now solve this inequality like a  normal inequality. Use inverse operations;

[tex]6x+18<9x[/tex]

[tex]18<3x[/tex]

[tex]6<x[/tex]

Type the correct answer in the box.

Use numerals instead of words. If necessary, use / for the fraction bar.

AB is parallel to CD, and EF is perpendicular to AB.
(AB,CD,EF and AB all have straight lines over them but my keyboard can't do that)

The number of 90° angles formed by the intersections of and the two parallel lines and is ___
.

Answers

Answer:

either 0 or 8, see the step by step for rationale pending the actual question

Step-by-step explanation:

two parallel lines will never intersect.

if it is mean to find the number of 90 degree angles of the two parallel lines and the perpendicular lines, the answer would be 8.

if two lines are perpendicular think of a + sign. there are four angles to make 360 degree so each must be 90 (and the definition of perpendicular).

since there are two parallel lines that intersection happens twice. so 8

What are the possible degrees for the polynomial function?

Answers

Answer:

degrees of 5 or greater

Step-by-step explanation:

peaks counted are 5

what is the measure of angle NLP

55
90

Answers

Answer:

answer is 55° ..........

Answer is

55 of the angle NLP

On the grid below, draw a right triangle with vertices at E (2,2), F(2,8), and G(10,8). Find the lengths of these three sides. If necessary, round to the nearest tenth

Answers

Answer:

The lengths of the sides are 6, 8 and 10.

Step-by-step explanation:

The vertices of a right angles triangle are E (2,2), F (2,8), and G (10,8)

The distance between the two points is

[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

So, the lengths of the sides are

[tex]EF=\sqrt{(8-2)^2+(2-2)^2} = 6 \\\\FG=\sqrt{(8-8)^2+(10-2)^2} = 8 \\\\GE=\sqrt{(8-2)^2+(10-2)^2} = 10 \\[/tex]

Evaluate.


9+6²÷3=

whats the answer i want it in words pls

Answers

Answer:

21

Step-by-step explanation:

To solve this problem, we need to remember the order of operations. First, you would do 6×6 to get 36, and then 36÷3 to get 12. 9+12 is 21, so the answer is (in words) twenty-one.

Answer:

Twenty-one

Step-by-step explanation:

Follow PEMDAS:

9 + 6^2 / 3

9 + 36 / 3

9 + 12

21

But I put the answer above in standard form…

Hope this helps!

What is the first step you should take to solve this equation:
3 (x − 2) = 2x + 7

Answers

Answer:

Distribute the 3 on the left hand side

Step-by-step explanation:

3 (x − 2) = 2x + 7

Distribute the 3 on the left hand side

3x -6 = 2x +7

Then subtract 2x from each side

It takes for plumbers five days to fit central heating in an office block. How long would it take ten plumbers?

Answers

Answer:

2 days

Step-by-step explanation:

It takes four plumbers five days

total labor needed

4 * 5 = 20 days

How long would it take ten plumbers?

20 / 10 = 2 days

NEED HELP PLS!!!


In circle B with \text{m} \angle ADC= 81m∠ADC=81, find the \text{m} \angle ABCm∠ABC.

Answers

I don’t know sorry……………….

give your answer in detail plzz ​

Answers

Answer:

60% did not germinate.

Step-by-step explanation:

100% = 5

how many percent are 2 of of these 5 ?

2 = 2/5 × 5 = 2/5 × 100% = 40%

all the other seeds are then the rest of 100%.

100% - 40% = 60%

=>

60% of the seeds did not germinate.

but 40% did.

can someone please help me with this?

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {A. \:-54}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

We have,

[tex]'m = 18'[/tex] and [tex]'a = - 3'[/tex]

Substituting the values of [tex]m[/tex] and [tex]a[/tex] in [tex]F=ma[/tex],

➺[tex]\:F = 18 \times - 3[/tex]

➺[tex] \: F = - 54[/tex]

Therefore, the value of F is [tex]\boxed{-54}[/tex].

Note:

F = force

m = mass

a = acceleration.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Determine the area of a regular pentagon that has a perimeter of 22 cm in the apothem of 3 cm

Answers

Answer:  33 square cm

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

Explanation:

Refer to the diagram below. I've split the regular pentagon into 5 equal slices (as if it was a pizza). Each triangle is congruent.

The base of each triangle is 22/5 = 4.4 cm

The height of each triangle is the apothem 3 cm. The apothem stretches from the center to the midpoint of any given side. It's the red dashed line in the diagram.

The area of one of the triangles is base*height/2 = 4.4*3/2 = 6.6 square cm.

Since we have 5 identical triangles with this area, we have a total area of 5*6.6 = 33 square cm

Answer:

165

Step-by-step explanation:

The formula for the area of the pentagon is 5/2 × s × a. 

5/2×22×3

5/2 × 66/1= 66÷2

=33

33×5=165

A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has four identical components, each with a probability of .2 of failing in less than 1000 hours. The subsystem will operate if any two of the four components are operating. Assume that the components operate independently. Find the probability that a exactly two of the four components last longer than 1000 hours. b the subsystem operates longer than 1000 hours.

Answers

Answer:

a. 0.1536

b. 0.9728

Step-by-step explanation:

The probability that a component fails, P(Y) = 0.2

The number of components in the system = 4

The number of components required for the subsystem to operate = 2

a. By binomial theorem, we have;

The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) is given as follows;

P(Y = 2) = [tex]\dbinom{4}{2}[/tex] × 0.2² × 0.8² = 0.1536

The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) = 0.1536

b. The probability that the system last longer than 1,000 hours, P(O) = The probability that no component fails + The probability that only one component fails + The probability that two component fails leaving two working

Therefore, we have;

P(O) = P(Y = 0) + P(Y = 1) + P(Y = 2)

P(Y = 0) = [tex]\dbinom{4}{0}[/tex] × 0.2⁰ × 0.8⁴ = 0.4096

P(Y = 1) = [tex]\dbinom{4}{1}[/tex] × 0.2¹ × 0.8³ = 0.4096

P(Y = 2) = [tex]\dbinom{4}{2}[/tex] × 0.2² × 0.8² = 0.1536

∴ P(O) = 0.4096 + 0.4096 + 0.1536 = 0.9728

The probability that the subsystem operates longer than 1,000 hours = 0.9728

supplementary angles measure _____ degrees?​

Answers

my answer

90°to 180°degrees

HELP I NEED HELP FAST. ILL MARK YOU BRAINLIEST.

Answers

She plays soccer and golf for a total of 125 minutes:

s + g = 125

She plays soccer 45 minutes more than she plays golf:

s = g + 45 this is for A

B= 40 minutes of golf everyday

C= Yes, because in fact, she plays 85 minutes of soccer everyday, and 85 is greater than 80, so yes she CAN play 80 minutes of soccer every day. Perhaps they meant possible to spend ONLY 80 minutes, then NO, that wouldn't be possible, because then by playing 45 minutes more soccer than golf, she wouldn't have played enough to have 125 total minutes of total play. Technically the way the question is worded, the answer is yes.

I hope this helps!

the perimetee are 81cm and the ratio sides are 2:3:4 find the area of triangle​

Answers

Answer: 18,27,36

Step-by-step explanation: We have to add all the ratios to get 9 and then divide 81 by 9 and get 9. The multiple 2, 3 and 4 by 9 getting 18, 27 and 36 respectively.

...yea i just need help (:

Answers

Answer:

2/3-4

3 1/3

-1*3.3=-3.3

-3 1/3 divided by 5/6

-4

so a

Hope This Helps!!!

Answer:

-2/3+4÷5/6

-2+12÷3÷5/6

10/3÷5/6

10/3x6/5

2/1x2/1

4/1

4

Step-by-step explanation:

hope this is helpful

What is the equation of the following line written in slope-Intercept form?

Answers

the answer in slope intercept form is y=-2/3x-13/3

Answer:

Step-by-step explanation:

(-5,-1)  & (-2, -3)

[tex]Slope= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \frac{-3-[-1]}{-2-[-5]}\\\\= \frac{-3+1}{-2+5}\\\\= \frac{-2}{3}[/tex]

m= -2/3  ; (-5,-1)

[tex]y-y_{1}=m(x-x_{1})\\\\y-[-1]= \frac{-2}{3}(x-[-5])\\\\y+1= \frac{-2}{3}(x+5)\\\\y+1=\frac{-2}{3}x+5*\frac{-2}{3}\\\\y+1=\frac{-2}{3}x+\frac{-10}{3}\\\\y=\frac{-2}{3}x+\frac{-10}{3}-1\\\\y=\frac{-2}{3}x+\frac{-10}{3}-\frac{3}{3}\\\\y=\frac{-2}{3}x-\frac{13}{3}[/tex]

MATH HELP PLEASE show WORK

Answers

9514 1404 393

Answer:

5 ft from ceiling9 ft from side wall

Step-by-step explanation:

Halfway along the 18' length from side wall to side wall will be 18'/2 = 9' from either wall.

Halfway along the 10' length from floor to ceiling will be 10'/2 = 5' from the ceiling (or floor).

The midpoint of the wall is 5' from the ceiling and 9' from the side wall.


In a class of 25 students, 16 have dark hair, 10 have brown eyes, and 4 have both dark hair and brown eyes. If a student chosen at random from this class has dark hair, what
is the probability they also have brown eyes?
A 0.12
(B) 0.72
C 0.25
D 0.80

Answers

your answer would be C.

Which of the points are solutions to the inequality? Check all that apply.

(-3, 3)
(-2, -2)
(-1, 1)
(0, 1)
(2, 5)​

Answers

Answer:

(-2,-2)

(0,1)

(2,5)

Step-by-step explanation:

(-3,3) and (-1,1) are not solution even though they lie on the line because the line is dashed and not solid

Find the perimeter of the figure below, in inches.

Answers

Answer:

The perimeter of the figure is 114.6

Step-by-step explanation:

If we add all of the numbers given to us, we can find the perimeter's value. So 8+12.3+6.2 etc.

Answer:

114.6

Step-by-step explanation:

just add all the sides together

Lily's car has a fuel efficiency of 8 liters per 100 kilometers. What is the fuel efficiency of Lily's car in kilometers per liter? km L

Answers

Answer:

The fuel efficiency of Lily's car in kilometers per liter is 12.5 km/litre.

Step-by-step explanation:

Lily’s car would be half a liter because the difference between kilometers and liters are far from apart

Help please! Please do not leave random answers or links

Answers

Answer:

12.5%

Step-by-step explanation:

There are 8 equal sized slices

1 slices is yellow

P(yellow) = number of yellow slices/ total number of slices

              = 1/8

                =.125

               = 12.5%

Answer:

12.5%

Step-by-step explanation:

Probability = favorable outcomes / possible outcomes

There are 8 possible outcomes

And 1 favorable outcome ( the 1 yellow portion )

So the probability of the spinner landing on yellow is 1/8 which can also be written as a percentage (12.5%)

5
Drag the tiles to the correct boxes to complete the pairs.
Luke is driving from his house to the store. After driving 16 miles at a constant speed of 0.8 mile/minute, he realizes that he forgot his wallet. So,
he turns around and drives all the way back to his house at the same speed. The equation below models Luke's distance, in miles, from home as
he drives for t minutes.
d = -0.8t - 20 + 16
Using the given equation, match the number of minutes since Luke started driving from his house to his distance from the house.
12 minutes
27 minutes
31 minutes
7 minutes
10.4 miles on his return trip
5.6 miles on his trip to the restaurant
9.6 miles his trip to the restaurant
7.2 miles on his return trip

Answers

Answer:

10.4 miles on his return trip → 27 minutes

5.6 miles on his trip to the restaurant → 7 minutes

9.6 miles on his trip to the restaurant → 12 minutes

7.2 miles on his return trip → 31 minutes

Step-by-step explanation:

When solving, we note that on his trip to the restaurant, [tex]\left |t - 20 \right |[/tex] is a negative number, while it is a positive number on his return trip

1) At 10.4 miles on his return trip, we have;

[tex]d = 10.4 = -0.8 \cdot \left |t - 20 \right |+ 16[/tex]

Therefore;

(10.4 - 16)/(-0.8) = 7 =  [tex]\left |t - 20 \right |[/tex]

t = 20 + 7 = 27

The number of minutes since Luke started driving from his house, t = 27 minutes

2) At 5.6 miles on his trip to the restaurant, we have;

[tex]d = 5.6 = -0.8 \cdot \left |t - 20 \right |+ 16[/tex]

Therefore;

(5.6 - 16)/(-0.8) = 13 =  [tex]\left |t - 20 \right |[/tex]

Here, t is less than 20 (minutes), therefore, t - 20 is negative, we get

t - 20 = -13

∴ t = 20+ (-13) = 7

The number of minutes since Luke started driving from his house when he is 5.6 miles on his trip to the restaurant, t = 7 minutes

3) At 9.6 miles on his trip to the restaurant, we have;

[tex]d = 9.6 = -0.8 \cdot \left |t - 20 \right |+ 16[/tex]

Therefore;

(9.6 - 16)/(-0.8) = 8 =  [tex]\left |t - 20 \right |[/tex]

[tex]\left |t - 20 \right |[/tex] is negative on his trip to the restaurant, therefore;

- [tex]\left |t - 20 \right |[/tex] = 8

t - 20 = -8

t = 20 - 8 = 12

The number of minutes since he started driving from his house to when he is 9.6 miles on the his trip to the restaurant, t = 12 minutes

4) At 7.2 miles on his return trip, we have;

[tex]d = 7.2 = -0.8 \cdot \left |t - 20 \right |+ 16[/tex]

Therefore;

(7.2 - 16)/(-0.8) = 11 =  [tex]\left |t - 20 \right |[/tex]

t = 20 + 11 = 31

At 7.2 miles from his house on the return trip, t = 31 minutes

can someone please help me with this???​

Answers

Answer:

B is the correct answer pls mark me brainlist

please answer this question! If you had trouble seeing it the question says to find the area of the rhombus.
d^1=10m;d^2=22m​

Answers

Answer:

Area rhombus = 110

Step-by-step explanation:

The diagonals of a rhombus intersect at right angles.

They bisect each other.

So the diagonals form 4 right angle triangles whose legs are 1/2 of each of them.

Leg of 1 triangle = 1/2 * 10 = 5

Other leg of 1 triangle = 1/2 * 22 = 11

Area of 1 triangle = (1/2 ) * 5 * 11 = 1/2 * 55 = 27.5

Area of all 4 triangles = 4 * 27.5

Area of all 4 triangles = 110

Area of rhombus = 110

sum of ages two ages is 25.in five years time Abigails age is twice the age of theJohn.
how old is abigail
how old is John

Answers

The answer is A
I just took the test

2. Round off the following numbers to two decimal places:
b) 4,5873
c) 32,095
a) 56,3456
d) 13,997​

Answers

Answer:

I think you mean significant figures

Step-by-step explanation:

460003200056000014000
Other Questions
A spinner is divided into 4 equal portions colored red, blue, green and yellow. If the spinner is spun, find the probability that it lands on Blue or Yellow, Red, Blue AND Yellow, and Green. Simplify the expression.... Complete the pattern.676 + 100676 + 101 =676 + 102 =676 + 103 Ivan is saving money to buy a game. So far he has saved 8, which is one-fourth of the total cost of the game. How much does the game cost? A balloon blown up with air hanging in a room. as the air in the room becomes colder the balloon becomes smaller because the molecules of air become? help me? plissim Roselia Name and explain two laws or legislations that protects the right to be protected violation A booster club paid for pizzas for an end of season party. They paid $13 for each pepperoni pizza and $11 for each plain pizza. The club bought a total of 18 pizzas for the party and paid a total of $212. Drag and drop the numbers to the boxes to create an equation which models this situation if x = the number of pepperoni pizzas and y = the number of plain pizzas bought. Match the verbal expression (term) with its algebraic expression (definition).MatchTermDefinitionFour less than an unknown valueA) b + 4Quotient of a variable and fourB) y 4Some number to the power of fourC) 4xFour times an unknown valueD) a4Four more than some numberE) z 4 Here is a word equation for a chemical reaction.copper oxide + sulphuric acid---> copper sulphate + waterWrite down everything that the word equation tells you about the reaction. What is the equation of a line that contains the point (2,-5) and is parallel to the line y=3x-4 Increasing __________ is one of the most effective treatments for bowel and bladder problems. Helppp.,,;:())..,,,, . explain the changes that were made to this public holiday .The day of reconsilation what is the missing reason in the proof? Logan owns a horse ranch. Logan dislikes horses, but he opened the ranch because he heard it was a lucrative business and he wanted to make money. Logans horse ranch has lost money every year for the past 5 years (including this year), but Logan has made some changes to business operations, including hiring a consultant and increasing his prices. Logan anticipates that as a result of these changes, his horse ranch will generate a profit in the next year or two. This year, Logan hired his brother, Luke, to work at the horse ranch. Logan pays Luke $500/hr to clean the horse stalls. Logan also hired his best friend, Lucy, to do Logans grocery shopping and other personal errands. He pays Lucy $15/hr. Which of the following is most accurate?a. Logan cannot deduct any of the costs associated with the horse ranch because the horse ranch would be classified as a hobby, not a businessb. Logan can deduct the full salary paid to Luke because Luke works in Logans horse ranch businessc. Logan can deduct the full salary paid to Lucy because the amount of the expense is reasonabled. Logan can deduct the full salary paid to Lucy because grocery shopping is ordinary and necessarye. None of the above are correct Use one of your new conjectures to find the lettered angles measures. t+p = What does a two direction arrow indicate in a chemical equation each runner in an 8 mile relay races runs 4/5 of a mile. How many runners are on the relay team? Borrows 10,000 over 5 years simple interest rate of 15%