Which expression is equivalent to startroot startfraction 2 x superscript 5 baseline over 18 endfraction endroot? assume x greater-than-or-equal-to 0.

Answers

Answer 1

The expression that is equivalent to [tex]\sqrt{\frac{2x^{5} }{18} }[/tex] is [tex]x^{2} \frac{\sqrt{x} }{3}[/tex].

The given expression is [tex]\sqrt{\frac{2x^{5} }{18} }[/tex].

We can write the above expression as [tex]\sqrt{\frac{2.x^{2} .x^{2} .x}{2*9} }[/tex]

What is the square root of [tex]x^{2}[/tex] and 9?

The square root of [tex]x^{2}[/tex] i.e. [tex]\sqrt{x^{2} } =x[/tex] and same for [tex]\sqrt{9} =3[/tex].

So, we can write the expression [tex]\sqrt{\frac{2.x^{2} .x^{2} .x}{2*9} }[/tex] as [tex]\frac{x.x\sqrt{x} }{3}[/tex].

So, [tex]\frac{x.x\sqrt{x} }{3}= x^{2} \frac{\sqrt{x} }{3}[/tex].

Therefore, the expression that is equivalent to [tex]\sqrt{\frac{2x^{5} }{18} }[/tex] is [tex]x^{2} \frac{\sqrt{x} }{3}[/tex].

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Related Questions

76
34
х
Find the missing angle measures:
m ZX =
m ZY
m ZZ =

Answers

Angle Y = 104 degrees
Angle X = 70 degrees

In order to solve the following system of equations by subtraction, which of
the following could you do before subtracting the equations so that one
variable will be eliminated when you subtract them?
4x – 2y=7
3.x – 3y = 15
A. Multiply the top equation by 15 and the bottom equation by 7.
B. Multiply the top equation by 1/3.
O C. Multiply the top equation by 3 and the bottom equation by 4.
D. Multiply the top equation by-3 and the bottom equation by 2.

Answers

4x – 2y=7

3x – 3y = 15

we want to keep y by eliminating the x

so we will Multiply the top equation by 3 and the bottom equation by 4.

we will get

12x - 6y = 21

12x - 12y = 60

we subtract the equations

12x - 6y - 12x - (-12y) = 21 - 60

6y = -39 and so on

Please I need help ASAP​

Answers

9x is your answer ma’am

Answer:

i believe 9x

Step-by-step explanation:

what similarity statement can you write relating the three triangle in the diagram?​

Answers

Answer:

D.

Step-by-step explanation:

In triangle EAK, A is the right angle.

In triangle AGK, G is the right angle.

In triangle EGA, G is the right angle.

That means we know that those letters have to be in the same position in the names of the three triangle.

The triangles are being written in the order: EAK, AGK, EGA

_A_   ~   _G_   ~   _G_

Angle E of triangle EAK corresponds to angle E of triangle EGA.

EA_   ~   _G_   ~   EG_

Angle K of triangle EAK corresponds to angle K of triangle AGK.

EAK   ~   _GK   ~   EG_

There is only one vertex missing in the last two triangles, so they must be A and A.

EAK   ~   AGK   ~   EGA

Answer: D.


Six friends sat at a table for the ferry ride to Liberty Island. Javier sat between Lindsey
and Sue. Franco sat in seat 1. He is next to Pavi. Ellie is not beside Sue or Pavi. Solve
the problem to tell where the friends are sitting. Give two possible solutions.

I need one more solution ,

Answers

Answer:...

Step-by-step explanation:

8x+y=5 and x+y=12 , using substitution and elimination

Answers

Answer:

x=−1,y=13

Step-by-step explanation:

Answer:

x = -1 and y = 13 Please Mark Brainliest

Step-by-step explanation:

Which is a rational number between 2 and 3 with a 2-digit repeating
pattern?

Answers

Answer:

3

Step-by-step explanation:

3 3 3

Answer:

3

Step-by-step explanation:

please help
The mean for problem 1 is minutes.

The mean for problem 2 is minutes.

Which of the following is a correct inference based on the mean values.

(Enter Only A, B, or C)

Answers

Answer:

I think it would be A

Step-by-step explanation:

because it took the students longer on problem one than it did for problem 2.

Find the volume of the cone
to the nearest tenth with a
diameter of 2 ft and a height
of 8 ft

Answers

Answer:

I won't;))

Step-by-step explanation:

I will not Find the volume of the cone

to the nearest tenth with a

diameter of 2 ft and a height

of 8 ft:)

Answer:

33.493

Step-by-step explanation:

to find the volume of a cone the equation that you are going to use is:

[tex]V=\pi r^2 \frac{h}{3}[/tex]

Step 1: Plugin

[tex]V=\pi 2^2 \frac{8}{3}[/tex]

r/Diameter=2

h=8

step 2: solve

[tex]\pi =3.14[/tex]

[tex]2^2=4[/tex]

[tex]3.14 x 4x \frac{8}{3} = 33.49[/tex]

In a properly drawn sample with a 3-percent sample error, 20% of 100 respondents indicate they intend to vote for a ballot measure. This means that there is high probability that between ______ percent of all voters actually plan to vote for the ballot measure.

Answers

The true statement is that, the probability that 17% to 23% percent of all voters planned to vote is high

How to determine the probability?

The percentage sample error (S) is given as:

S = 3%

The proportion (p) of the respondent is given as:

p = 20%

This means that the range (R) of the proportion is:

R = p ± S

This gives

R = 20% ± 3%

Expand

R = (20% - 3%, 20% + 3%)

Evaluate

R = (17%, 23%)

This means that the range is 17% to 23%

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Mandi scored high on measures of mathematical ability and also scored high on measures of reasoning ability. Her scores lend support for the

Answers

Mandi's measures of mathematical abilities and reasoning ability lend support to the view of general intelligence.

What is general intelligence?

This concept refers to humans' general abilities and capacity to perform different cognitive tasks. This factor is often measured based on the following elements:

Numerical intelligence.Reasoning abilities.Verbal intelligence.Spatial abilities.

Why does Mandi's measure support general intelligence?

Mandi is measuring two of the main elements considered as part of general intelligence. Based on this, her measures focus on general intelligence and lend support to this factor.

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1. This composite figure is created by placing a sector of a circle on a rectangle. What is the area of this composite figure? Show you work.

Answers

Answer:

29.92 m² (nearest hundredth)

Step-by-step explanation:

[tex]\textsf{Area of a sector}=\dfrac{\theta}{360\textdegree}\pi r^2[/tex]

[tex]\implies \textsf{area}=\dfrac{30}{360\textdegree}\pi \cdot 5.5^2=\dfrac{121}{48}\pi \textsf{ m}^2[/tex]

Area of rectangle = width × length

⇒ area = 4 × 5.5 = 22 m²

Total area = area of sector + area of rectangle

⇒ total area = [tex]\dfrac{121}{48}\pi +22[/tex] = 29.91943148... = 29.92 m² (nearest hundredth)

Answer:

29.92 m²

Step-by-step explanation:

i took the test

Please help quick!!!

Answers

Answer:

Step-by-step explanation:

It remains 1/6

because you replace it, it stays as 1/6

I need help finding why these triangles are congruent

Answers

Answer:

I would advise you ask a tutor because he or she may know better then me. I am so sorry

Caitlin won a bag full of money! She has 49 bills in all. She counts $1430. There
are twenty dollar bills and fifty dollar bills. How many of each bill does Caitlin
have? Which system best represents the situation?
20x + Soy - 1430
10x + 5y - 1430
x+y = 1430
202.50y 49

Answers

Answer:

I believe A would be the correct one, but I'm not 100% sure, none of the others make any sense and it looks like there may be a typo on A.

Step-by-step explanation:

If Caitlin were to win a huge sum of cash. In total, she has 49 bills. She adds up $1430. There are twenty and fifty-dollar bills available. The equation 20x + 50y = 1430 is the one that best describes the situation.

What is an equation?

Equations are statements that affirm the equivalence of two expressions that are joined by the equals symbol "=". An equal sign ("=") links two expressions together to form an equation.

Given that Caitlin won a bag of cash, she has a total of 49 bills. She adds up to $1430. There are twenty and fifty-dollar notes available.

The system best represents the situation is,

20x + 50y = 1430

Thus, if Caitlin was to win a huge sum of cash. In total, she has 49 bills. She adds up to $1430. There are twenty and fifty-dollar bills available. The equation 20x + 50y = 1430 is the one that best describes the situation.

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In three days Alexandra sold a total of 31 tickets to her school play. On Tuesday she sold as twice as many tickets as on Wednesday. And on Thursday, she sold exactly seven tickets. How many tickets did Alexandra sell on each day Tuesday through Thursday?

Answers

Answer:

Alexander sold

8 tickets on Tuesday

16 tickets on Wednesday

7 tickets on Thursday

Step-by-step explanation:

Let us represent:

Number of tickets sold on Tuesday = a

Number of tickets sold on Wednesday = b

Number of tickets sold on Thursday = c

In three days Alexandra sold a total of 31 tickets to her school play.

a + b + c = 31...... Equation 1

On Tuesday she sold as twice as many tickets as on Wednesday.

2a = b

And on Thursday, she sold exactly seven tickets.

c = 7

Substitute 2a for b and 7 for c in Equation 1

a + b + c = 31...... Equation 1

a + 2a + 7 = 31

3a = 31 - 7

3a = 24

a = 24/3

a = 8 tickets

Note that

2a = b

a = 8 tickets

2 × 8 = 16 tickets

b = 16 tickets

Therefore, Alexander sold

8 tickets on Tuesday

16 tickets on Wednesday

7 tickets on Thursday

Find the quotient and remainder when sum of the number 49 and the reversed number is divided by 11

Answers

Answer:

Quotient = 13

Remainder = 0

Step-by-step explanation:

Reversed number => 94

=> 94 + 49 / 11

=> 143 / 11

=> 13

Quotient = 13

Remainder = 0

Answer:it’s 13

Step-by-step explanation:49+94/11=13

What is the sum of the 2nd square number and the 4th cube number?

Answers

Answer:68

Explanation:
2*2=4 —> second square number
4*4*4=64 ——> 4th cube number
64+4 = 68

if triangle ABC is dilated by a scale factor of 2 what are the coordinates of the image of a ?

Answers

Answer:

x=-2

y=1

(-2,1)

Step-by-step explanation:

all you have to do is look at the point that a is on and run your finger to the x and y line where it touches those lines is where you look at the # that it is on

x=horizontal

y=vertical

(-2,2) is the answer to your question

a furniture company currently produces 5800 chairs per month. If production decreases 5%, find the amount of the decrease and the new number of chairs produced each month.​

Answers

Answer:amount of decrease 290 ;numbers of chairs 5510

Step-by-step explanation:

Stablish the proportion 5800/100%=x/5% then solve for x. ; x=(5%/100%)*5800 = 290 which is the decrease. Then make the difference 5800-290 and you get 5510

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

The number of chairs decreased is 290.

The number of new chairs produced each month is 5510.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Number of chairs produce in a month = 5800

5% decrease in production:

= 5% of 5800

= 5/100 x 5800

= 5 x 58

= 290

The number of new chairs produced each month:

= 5800 - 290

= 5510

Thus,

The number of chairs decreased is 290.

The number of new chairs produced each month is 5510.

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Find the radius of sphere with a volume of 500π3 cubic feet.

Answers

Answer:

5cm

Step-by-step explanation:

EMERGENCY! PLEASE ANSWER ASAP! ​

Answers

Answer:

I think the answer is "It looks like you can keep the same base and just add the exponents"

The first factor is dilated to from the second figure

Answers

Answer:

0.25

Step-by-step explanation:

If we multiply 5.8 by 0.25, we get 1.45, which is the transformed measurement.

What is 1/3÷4 what is the answer?

Answers

Answer:

It's .083333333333333.....

Step-by-step explanation:

Hope this helps!

Answer:

1/12

Step-by-step explanation:

In the photo

5(4x + 2) ÷ 7y
what is the term of this expression I found the sum and product, quotient etc. but I forgot the term. (due in 10 minutes!! please help and have a blessed day/night)

Answers

Answer:

parts of the expression 5(4x + 2) ÷ 7y are:

Sum: 4x + 2

Term: 7y

Product: 5(4x + 2)

Factor: 5

Quotient: 5(4x + 2) ÷ 7y

Coefficient: 7

What process you would use to find the distance between (2, 7) and (4, 10)?

Answers

Answer:

d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}

Step-by-step explanation:

first to solve this correctly will be awarded brainiest!!! i need help asap!

Answers

Answer:

3^13*73

Step-by-step explanation:

3^17-3^15+3^13 So you factor out 3^13

=3^13(3^4-3^2+1)

3^4-3^2+1=73

3^13*73

Hope this helps!

Find the area of the figure.
square with sides of 5.7 ft
The area of the square is
ft2

Answers

Answer:

32.5 ft^2

Step-by-step explanation:

All sides of a square have the same length.  Area would therefore be:

 (5.7 ft)(5.7 ft) = 32.5 ft^2

Which situation can be modeled by the inequality 5 + 10w ≥ 45?

Answers

Answer:

w greater or equal 4

Step-by-step explanation:

Subtract 5 on both sides. 10w greater or equal to 40. So yeah.

Answer:

a.You start with $5 and save $10 a week until you have at least $45

Step-by-step explanation:

Maryanne wants to lay tile above the countertops in her kitchen as a backsplash for the room. The length of the rectangular shaped wall she wishes to cover is 10.5 feet and its width is 3 feet. If the cost of her tile is $2.25 for every square foot, how much should she plan to spend?

please help I need it now ty <3

Answers

The cost of tiling the wall is $70.86

Data;

length of wall = 10.5ftwidth of wall = 3 ftcost per square foot = $2.25

Area of Rectangle

The formula of area of rectangle is given as

[tex]A = l*w[/tex]

Let's substitute the values and solve

[tex]A = L * W\\A = 10.5 * 3 = 31.5ft^2[/tex]

The area of the rectangular wall is 31.5ft^2.

The cost of tiling the wall will be the cost of one square foot by the area of the wall.

[tex]31.5 * 2.25 = \$70.86[/tex]

The cost of tiling the wall is $70.86

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