Which expression is equivalent to [tex]\sqrt128x^{8} y^{3} z^{9}[/tex]? Assume [tex]y\geq 0[/tex] and [tex]z\geq 0[/tex].

A - [tex]2x^{2} z^{2} \sqrt8y^{3} z[/tex]

B - [tex]4x^{2} yz^{3}\sqrt 2x^{2}[/tex]

C - [tex]8x^{4} yz^{4} \sqrt2yz[/tex]

D - [tex]64x^{4}yz^{4} \sqrt2yz[/tex]

Answers

Answer 1

Answer:

[tex](C)8x^4z^4\sqrt{2yz}[/tex]

Step-by-step explanation:

We want to determine an expression equivalent to: [tex]\sqrt{128x^8y^3z^9}[/tex]

[tex]\sqrt{ab} =\sqrt{a}*\sqrt{b}[/tex]

Therefore:

[tex]\sqrt{128x^8y^3z^9}=\sqrt{128}*\sqrt{x^8}*\sqrt{y^3}*\sqrt{z^9}[/tex]

[tex]=\sqrt{64*2}*\sqrt{x^{4*2}}*\sqrt{y^{2+1}}*\sqrt{z^{8+1}}\\=8\sqrt{2}*\sqrt{x^{4*2}}*\sqrt{y^2*y}*\sqrt{z^{8}*z}}[/tex]

[tex]=8\sqrt{2}*x^4*y \sqrt{y}*z^4\sqrt{z}\\=8*x^4*z^4*\sqrt{2}*\sqrt{y}*\sqrt{z}\\=8x^4z^4\sqrt{2yz}[/tex]

Answer 2

Answer:

C on edge2020.

Step-by-step explanation:

Trust me on this one.

:D


Related Questions

What is the measure of arc ABC?

Answers

Answer:

BA=180°

C=70°

180° - 70° = 110°

Step-by-step explanation:

The one that reply earlier is right

The solution of the equation 3(x + 3) = 12 is ?

Answers

Step-by-step explanation:

Hello there!

Solve for x using the distruibutive property:

3(x+3)=12

3x+9=12

3x=3

x=1

:)

Answer:

x=1

Step-by-step explanation:

3(x+3)=12

3x+9=12

3x=3

x=1

What is the surface area of the pyramid?
A 160
B 188
C 224
D 256
PLEASE HELP ASAP

Answers

Answer:

160

Step-by-step explanation:

one of the triangle faces:

4 × 6 = 24cm^2

theres 4 triangle faces so 24 × 4 = 96 cm^2

then u have to add on the square face which is 8×8 =64cm^2

total:

64 + 96 = 160cm^2

Answer:

A your welcome

Step-by-step explanation:

The data below represents the number of customers at each Slurpee Sam's Spaghetti Shop. 24, 25, 29, 30, 31, 31, 32, 34, 34. Which box plot correctly summarizes the data?

Answers

Answer:

A summary of the data is as follows;

1. Maximum = 34

2. Minimum = 24

3. The 1st quartile is 27

4. The median is or the 2nd quartile 34

5. The 3rd quartile is 33

The data is summarized in the attached box plot

Step-by-step explanation:

24, 25, 29, 30, 31, 31, 32, 34, 34

From the given data, we have the five values of a box and whisker plot as follows;

1. Maximum = 34

2. Minimum = 24

3. The 1st quartile is the [tex]\frac{9 + 1}{4} th[/tex] term or 27

4. The median (2nd quartile) is the [tex]\frac{9 + 1}{2} th[/tex] term or 34

5. The 3rd quartile is the [tex]\frac{3(9 + 1)}{4} th[/tex] term or 33

Hence the attached box plot summarizes the data.

Answer: C

Step-by-step explanation:

IF U SMART I WANNA SEE U ANSWER THIS Q! 11ponits?

Answers

Answer is 1.6 pounds

.02 is not big enough to round up, so round down

10x + 9y = -17
10x – 2y = 16
what is the solution

Answers

Answer:

x = 1 and y = -3

Step-by-step explanation:

Subtract eqn 1 from eqn 2

11y = - 33

y = -3

Substituting y into eqn 2...

10x - 2(-3) = 16

10x +6 = 16

10x = 10

x = 1

Final answer:

The solution to the system of equations 10x + 9y = -17 and 10x - 2y = 16 is x = 1 and y = -3. This solution was found using the elimination method, which involved manipulating the equations to eliminate one variable and then solving for the other.

Explanation:

The question is related to the system of linear equations. A set of linear equations with the same variables is known as a system of equations. Here we have two equations; 10x + 9y = -17 and 10x - 2y = 16. The solution to this system of equations is the ordered pair (x, y) that satisfies both equations. We can find this by using the method of substitution or elimination.

Here's the solution using the elimination method:

First multiply the second equation by 9 and the first one by 2.You will get:
20x + 18y = -34
90x - 18y = 144Add these two equations together to eliminate y:
110x = 110Then, divide both sides by 110 to solve for x:
x = 1Substitute x = 1 into the first equation:
10*1 + 9y = -17
9y = -27
y = -3

So, the solution for the system of equations is x = 1 and y = -3.

Learn more about System of Linear Equations here:

https://brainly.com/question/33609849

#SPJ2

Pleeeaase can u helppp meee thanks will mark brainliest!!

Answers

Answer:

140 cubic cm

Step-by-step explanation:

v=1/3 bh

b=1/2(3) (5) (4)=60

b=1/2(60)=30

v=1/3(60)7=420

420/3=140

hope this helps

Find the equation of the line described below. Write the equation in slope-intercept form, if possible, and graph the line. Contains (1,2) slope=3

Answers

Answer:

The equation of the line is  y = 3x - 1

Step-by-step explanation:

In this question, we are asked to write the equation of the line using a point on the line and the slope of the line.

Mathematically, the slope-intercept form of a line can be written as;

y = mx + c

where m is the slope of the line and c is the y-intercept of the line. Now back to the question, we can see that we have all that is required for the line asides the value of the y-intercept C

To get this, we plug the values in the question into the equation of the straight line.

Here, we say y = 2, x = 1 and m = 3

2 = 3(1) + c

c = 2-3

c = -1

Thus, the equation of the line is  y = 3x - 1

Write an equation that represents the line (-2,1) and (4,6)

Answers

Answer:

y - 6 = (5/6)(x - 4)

Step-by-step explanation:

Write an equation that represents the line through the points (-2,1) and (4,6)

As we move from (-2, 1) to (4, 6), x increases by 6 and y increases by 5.

Thus, the slope of the line connecting these two points is m = rise/run = 5/6.

Using (4, 6) as one point on the line, the equation of the line in point-slope form is

y - 6 = (5/6)(x - 4)

Answer: y - 6 = (5/6)(x - 4

Step-by-step explanation:

can someone solve this please

Answers

Answer:

ML = 6

Step-by-step explanation:

If JM = 6, then ML = 6 because they are congruent.

If x is the number of questions Desiree answered correctly, then the equation that represents the given situation is and the equation will have .

Answers

I think I had think before so 3x-D=10?

Judith went shopping with $50 and spent $45. What percentage of her money did she spend

Answers

Answer:

90%

Step-by-step explanation:

Answer:

90%

Step-by-step explanation:

To determine what percentage of money she spent, you would divide the amount she spent by the total amount she had.  

$45 ÷ $50 = 0.9

You would then multiply the decimal times 100 to convert the decimal to a percentage.

0.9 · 100 = 90

Tomas brought $32.00 to the art supply store. He bought a brush, a sketchbook, and a paint set. The brush was 1 4 as much as the sketchbook, and the sketchbook cost 2 3 the cost of the paint set. Tomas had $4.50 left over after buying these items.

Answers

Answer:

The price of the sketchbook is $10, the price of the brush is $2.5 and the price of the paint set is $15.

Step-by-step explanation:

Let the price of the brush be b.

Let the price of the sketchbook be s.

Let the price of the paint set be p.

The brush was 1/4 as much as the sketchbook. This means that:

b = 1/4 * s = s/4_______________(1)

The sketchbook was 2/3 the cost of the paint set. This means that:

s = 2/3 * p

=> p = 3s/2 __________________(2)

Initially, he had $32.00 and after buying all the items, he had $4.50 left with him. This means that:

b + s + p + 4.50 = 32.00 ___________(3)

Put (1) and (2) in (3):

=> s/4 + s + 3s/2 + 4.50 = 32.00

Collect like terms and simplify:

11s/4 = 32.00 - 4.50 = 27.5

=> s = (27.5 * 4) / 11

s = $10

Put this back in (1) and (2):

b = 10 / 4 = $2.5

and

p = (3 * 10) / 2 = $15

The price of the sketchbook is $10, the price of the brush is $2.5 and the price of the paint set is $15.

Answer:

I want to delete my answer because the one already answered is correct.

Which number is greater: 1/4 or 5/4 ?

Answers

Answer:

1/4 < 5/4

Step-by-step explanation:

Since the numbers have the same denominator, we compare the numerators

1 < 5

so 1/4 < 5/4

Answer:

5/4

Step-by-step explanation:

Hello there!

Since each number is given in terms of 4ths, we can look at which has more 1/4 that comprises it.

5>1, so 5/4 is greater.

:)

Latoya performs an experiment using the lab equipment shown.


Which two properties is Latoya most likely measuring?

mass and volume

volume and temperature

temperature and length

length and mass

Answers

Answer

B volume and temp

Step-by-step explanation:

The cup is telling you the volume in the cup and the temp stick thing is telling you temp. Hope this helped

Answer:

B

Step-by-step explanation:

A 4-ft vertical post casts a 20-in shadow at the same time a nearby cell phone tower casts a 125-ft shadow. How tall is the cell phone tower

Answers

Answer:

Because we are dealing with both feet and inches, and your question didn't state if it was to be rounded, I got 301.2 feet.

Step-by-step explanation:

(4/1.66)=(x/125)

solve for X

X≈301.2

Find the area of the shape shown below.

Answers

Answer:

27

Step-by-step explanation:

Answer:

(B+b)xh/2 = formula for the area of the trapeze

so (9+3)x3/2= 12x3/2 = 6x3 = 18

A total of 503 tickets were sold for the school play. They were either adult tickets or student tickets. There were 53 more student tickets sold than adult tickets. How many adult tickets were sold?

Answers

Answer:

225 adult tickets were sold

To determine the number of adult tickets sold for the school play, we set up an equation with the variable representing adult tickets, and considered that there were 53 more student tickets sold than adult tickets. Solving the equation given the total number of tickets (503), we found that 225 adult tickets were sold.

The question is asking us to find out how many adult tickets were sold for the school play when given the total number of tickets and the information that there were 53 more student tickets sold than adult tickets. To do this, we'll let the number of adult tickets be represented by x and the number of student tickets be x + 53, as there were 53 more student tickets than adult tickets.

The total number of tickets sold is 503, which is the sum of adult tickets and student tickets. So, x (adult tickets) + (x + 53) (student tickets) = 503. Combining like terms, we get 2x + 53 = 503. Subtracting 53 from both sides, we have 2x = 450. Dividing both sides by 2 gives us x = 225. Therefore, 225 adult tickets were sold.

Sam is 18 and Bill is 24. how many years ago was Bill three times as old as sam​

Answers

Answer:

15 years ago

Step-by-step explanation:

So it was when Sam was x=3 years old and Bill was 3x=9 years old that Bill was 3 times as old as Sam. And since their ages are now 18 and 24, that was 15 years ago.

Answer:

The answer is 15 years

Step-by-step explanation:

Surface area of a triangular prism

Answers

Answer:

96

Step-by-step explanation:

Answer: You need to use the formula to solve this equation

step-by-step explanation:

Area of a triangle=           A = 1/2bh

Area of a rectangle=        A = lw

Surface area of triangular prism=       SA = bh + (s1 + s2 + s3)H

Use that formula to solve the problem.

I hope this helps

If you need more add my s n a p (i'll put it in the comments section) and send a picture of your work and i'll help

​Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 640 randomly selected adults showed that 99.2​% of them would erase all of their personal information online if they could. Make a subjective estimate to decide whether the results are significantly low or significantly​ high, then state a conclusion about the original claim.

Answers

Answer:

Given:

Sample size, n = 640

Since result showed that 99.2​% of them would erase all of their personal information online if they could, we have:

P' = 99.2% = 0.992

Let's take p = 50%

Our null and alternative hypothesis will be :

H0 : u = 0.5

H1 : u > 0.5

In this case we are to check for the test statistic.

[tex] \frac{P' - p}{\sqrt{p(1-p)/n}} [/tex]

[tex] = \frac{0.992 - 50}{\sqrt{50(1-50)/640}} [/tex]

= 24.9

Test statistic, Z = 24.893

In conclusion, the results are significantly high, which suggets there is suffcient evidence to support the claim that most adults would erase all of their personal information online.

If 2 is equal to 156°, what is the measure of 3?

Answers

Answer:

3 = 234

Step-by-step explanation:

156 ÷ 2 = 78 so then 156 + 78 = 234

Please mark Brainliest :)

A rectangle has a height of x and a width of 7x-4 what is the area

Answers

Answer:

Step-by-step explanation:

Answer:

(7x² - 4x) unit²

Step-by-step explanation:

Area of rectangle = width × height

Width = 7x - 4

Height = x

Area = x ( 7x - 4)

Area = (7x² - 4x) unit²

Katie bought 2 one-gallon bottles of juice for a party. Her guests drank 64gallons of juice. What fraction of a gallon of juice is left over? Draw a number line to show,and explain your answer.

Answers

Answer:

1/2 gallon

Step-by-step explanation:

Each full gallon can be represented as 4/4 of a gallon. Since Katie bought 2 one-gallon bottles, the total amount of juice is 8/4 gallons. The number line below represents the fraction of juice that her guests drank.

[tex]\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\\ \frac{1}{4}\ \ \frac{2}{4}\ \ \frac{3}{4}\ \ \frac{4}{4}\ \ \frac{5}{4}\ \ \frac{6}{4}\ \ \frac{7}{4}\ \ \frac{8}{4}[/tex]

The fraction of a gallon of juice left over is:

[tex]f=\frac{8}{4}-\frac{6}{4} =\frac{2}{4}\\f=\frac{1}{2}[/tex]

Therefore, there is 1/2 of gallon of juice left over.

Pls help I really need it I been staring at this for a hour pls help there’s a chance I might give Brainlest

Answers

Answer:

the area is 146 mi^2 and the perimeter is 54

Step-by-step explanation:

Answer

perimeter = 44 mi

area = 146 mi²

Step by step

perimeter = 9 mi + 10 mi + 2 mi + 8 mi + 7 mi + 18 mi

perimeter = 44 mi

area = (2 × 10) + (7 × 18)

area = 20 + 126

area = 146 mi²

A movie theater has a seating capacity of 315. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 2280, How many children, students, and adults attended?

Answers

Answer:

84 students

Step-by-step explanation:

Let x be the number of adults.

Then the number of children is 2x, according to the condition,

and the number of students is the rest (315-x-2x) = (315-3x).

The "money" equation (the revenue equation) is

   12x + 5x(2x) + 7x(315-3x) = 2282.

   12x + 10x + 7x315 - 21x = 2282

   x = 2282 - 7x315 = 77  is the number of adults.

 77 adults :2 x 77 = 154 children and the rest (315-77-154) = 84 students.


Gomer stores his Iguana Food IN A CAN that is 8 inches tall and
has a diameter of 3 inches. What is the volume of the Iguana Food
can?

Answers

56.54 is the volume


V=πr2h=π·1.52·8≈56.54867

What is the sale price of a $15 shirt that is 20% off? (round to the nearest cent)​

Answers

15 x 0.20 = 3
15-3 = 12
The sale price of the shirt will be
$13
Thats on cuh

Answer:

12

Step-by-step explanation:

sale price is (100-20)% of 15 = 80/100 * 15 = 12

A triangle has angle measurements of 87 degrees and 32 degrees. What is the measurement of the third angle?

a
119 degrees
b
63 degrees
c
180 degrees
d
61 degrees

Answers

Answer:

61 degrees

Step-by-step explanation:

a triangle measures 180 degrees

so your going to add 87 and 32 which gives us 119

since a triangle measures 180 degrees u you are going to subtract 119 from 180 which gives us 61 degrees

Answer:

its 61 on edg

Step-by-step explanation:

i took the test and got a 93.2%

The histogram shows the number of payphones that were active by year in a large city. How many payphones would you expect to be active between 1976 and 1980?

Answers

Answer:

It is the second one

Step-by-step explanation:

Hope it helps and rate my answer

;);)

Answer:

between 150 and 200

Step-by-step explanation:

corect on edge

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