what is the following sum

What Is The Following Sum

Answers

Answer 1

Answer:

2nd option is the correct answer

[tex] 12{b}^{2} \bigg(\sqrt[3]{2a} \bigg)[/tex]

Step-by-step explanation:

[tex]3 {b}^{2} \bigg( \sqrt[3]{54a} \bigg) + 3 \bigg( \sqrt[3]{2a {b}^{6} } \bigg) \\ \\ = 3 {b}^{2} \bigg( \sqrt[3]{27 \times 2a} \bigg) + 3 \bigg( \sqrt[3]{2a {( {b}^{2} )}^{3} } \bigg) \\ \\ = 3 {b}^{2} \bigg( \sqrt[3]{ {3}^{3} \times 2a} \bigg) + 3 \bigg({\sqrt[3]{{( {b}^{2} )}^{3}2a} } \bigg) \\ \\ = 3 {b}^{2} \times 3 \sqrt[ 3]{2a} + 3 {b}^{2} \sqrt[3]{2a} \\ \\ = 9 {b}^{2} \sqrt[ 3]{2a} + 3 {b}^{2} \sqrt[3]{2a} \\ \\ = 12{b}^{2} \bigg(\sqrt[3]{2a} \bigg)[/tex]

Answer 2

Answer:

second option:  12b²(∛2a)

Step-by-step explanation:

you can break [tex]\sqrt[3]{54a}[/tex] into [tex]\sqrt[3]{3^3(2a)}[/tex] which equals 3[tex]\sqrt[3]{2a}[/tex]

you can break [tex]\sqrt[3]{2ab^6}[/tex] into [tex]\sqrt[3]{2ab^3b^3}[/tex] which equals b²[tex]\sqrt[3]{2a}[/tex]

now we can simplify: (3b² ·  3[tex]\sqrt[3]{2a}[/tex]) + 3b²[tex]\sqrt[3]{2a}[/tex] = 9b²[tex]\sqrt[3]{2a}[/tex] + 3b²[tex]\sqrt[3]{2a}[/tex]

this equals 12b²[tex]\sqrt[3]{2a}[/tex]


Related Questions

What is the equation of the line that passes through the point (4, -8) and has a
slope of -1/2?

Answer is y=-1/2x-6
:)

Answers

Answer:

yo sorry I'm dum need points

During a guided tour of Sindrow Castle, a group of tourists climbed to the top of Fineview Tower.
At the top, the guide asked the six children in the group to guess how many steps they had
climbed. Their guesses were 155, 157, 167, 168, 179 and 183.
The guide revealed that the closest guess was only 3 more or less than the correct number and
that two of the other guesses were no more than 10 away.
How many steps had they climbed?
A 160
B 164
C 171
D 176

Answers

Answer:

C

Step-by-step explanation:

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

Answer:

No solutions.

Step-by-step explanation:

No solutions because these two lines are parallel.

You can tell by the slopes. Both slopes are equal -3.

The -2 and [tex]\frac{5}{8}[/tex] vertically shift the lines.

Which of the following are true statements? Select two that apply.

Answers

Answer:

Options A and C are correct answers

Step-by-step explanation:

A) [tex] \angle 5\: and \:\angle 1[/tex] are complementary.

C) [tex] \angle 3\: and \:\angle 4[/tex] form a linear pair.

Hope it helps you in your learning process.

A line that includes the point (7,0) has a slope of 1. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

[tex]y = x-7[/tex]    

Step-by-step explanation:

To write the equation of the line in slope-intercept form, use the slope-intercept formula, [tex]y = mx +b[/tex]. Find real values for the [tex]m[/tex] and [tex]b[/tex] and substitute them into the formula.  

1) We know that [tex]m[/tex] represents the slope, so substitute 1 in its place.  However, we still need to find [tex]b[/tex], or the y-intercept. So, along with substituting that 1 in for [tex]m[/tex], substitute the x and y values for (7,0) for the x and y in the formula as well. Then, isolate [tex]b[/tex] to find its value:

[tex]y = mx + b\\0 = (1)(7)+b\\0 = 7 + b\\-7 = b[/tex]

So, [tex]b[/tex] = -7.  

2) Now, just substitute the found values for [tex]m[/tex] and [tex]b[/tex] into the slope-intercept formula. Remember that the slope is [tex]m[/tex], so substitute 1 in, and [tex]b[/tex] is -7, so substitute -7 in its place as well. This gives the following equation in slope-intercept form:

[tex]y = 1x -7[/tex] or [tex]y = x-7[/tex]

what is an equivalence class?

Answers

This article is about equivalency in mathematics. For equivalency in music, see equivalence class (music).

Congruence is an example of an equivalence relation. The leftmost two triangles are congruent, while the third and fourth triangles are not congruent to any other triangle shown here. Thus, the first two triangles are in the same equivalence class, while the third and fourth triangles are each in their own equivalence class.

In mathematics, when the elements of some set S have a notion of equivalence (formalized as an equivalence relation) defined on them, then one may naturally split the set S into equivalence classes.

                              The information is from https://en.wikipedia.org/wiki/Equivalence_class

                         If it is wrong I am sorry

Use the distributive property to write an equivalent expression. (6+8)⋅x *

Answers

Answer: 14*x

Step-by-step explanation: I am 99% sure

what is ( 5 x 1 ) + ( 5 x 1/3)

Answers

Answer:

The answer is 20/3

Step-by-step explanation:

(5 x 1 ) + ( 5 x 1/3)

5 + ( 5 × 1/3 )

5 + 5/3 = 20/3

If two objects travel through space along two different curves, it's often important to know whether they will collide. (Will a missile hit its moving target? Will two aircraft collide?) The curves might intersect, but we need to know whether the objects are in the same position at the same time. Suppose the trajectories of two particles are given by the vector functions for t 0. Do the particles collide? If they collide find t. If not enter NONE.
r1(t) = t^2, 8t − 15, t^2
r2(t) = 11t − 30, t^2, 13t − 40
t=

Answers

Answer:

Step-by-step explanation:

[tex]r_1(t) = < t^2 , 8t-15,t^2> \\ \\ r_2(t) = < 11t-30, \ t^2 , \ 13t-40> \\ \\ at \ r_1 = r_2 \\ \\ t^2 = 11t - 30 , \ \ \ \ \ \ \ \ \ \ \ \ 8t - 15 = t^2 , \ \ \ \ \ \ \ \ \ t^2 = 13t -40 \\ \\ t^2 - 11t + 30\ \ \ \ \ \ \ \ \ \ \ \ t^2 -8t + 15 , \ \ \ \ \ \ \ \ \ \ \ \ t^2 -13t + 40 \\ \\ t^2 -8t-3t + 30=0 \ \ \ \ \ \ t^2 - 2t -4t + 15=0 \ \ \ \ \ \ t^2 - 1t - 13t + 40 =0[/tex]

[tex](t-6)(t-5) \ \ \ \ \ \ \ \ \ \ \ (t-5)(t-3) \ \ \ \ \ \ \ \ \ \ \ (t-5)(t-8)[/tex]

[tex]\mathbf{The \ common \ value \ of \ t \ = \ 5}[/tex]

Skyler goes to a school which has 1000 students in it.
She asks 40 random students whether they like the new 8.30 am start to the day.
30 of them say 'no' they do not like it.
Use this information to estimate how many students in the whole school
dislike the 8.30 am start.​

Answers

Answer:

750?

Step-by-step explanation:

there is groups of 40 so we take 1000/40 now we have 25 take 25x10 and we will and up with 250 minus 1000 - 250 and we have 750

what is the volume of a box that is 14 inches long, 7 inches wide, and 10 inches high

Answers

To find the volume of something just multiply the Length times Width times Height so, 14x7x10 = 980

The volume of the box will be → 980 square inches.

What is the volume of a cuboid?

The volume of cuboid is found using the formula:

Volume = Length × Width × Height

Given is the volume of a box that is 14 inches long, 7 inches wide, and 10 inches high.

The volume of the box will be→

V= L x B x H

V= 14 x 7 x 10

v = 140 x 7

V= 980 square inches

Therefore, the volume of the box will be → 980 square inches

To solve more questions on cuboid, visit the link below-

https://brainly.com/question/23118276

#SPJ2

the price of a board game was reduced from $40 to $25. by what percentage was the price of the board game reduced?

Answers

15% - 40. -25 = 1500 percent take out the zero because they have zero value and your left with 15 which is 15%

If Robert buys a candy bar for 78 cents, how much
change does he get back from a one-dollar bill?
32 cents
23 cents
22 cents
33 cents

Answers

The answer will be 22 cents
22 cents.

Explanation:
One dollar is 100 cents.
Your equation would be...
100 - 78 = 22 (your change)
Subtract the amount given by the total cost to get the change.

Find the slope of line with the given points (- 6, 2)(3, 7)

Answers

Answer:

m = 5/9

Step-by-step explanation:

rise = 5

run = 9

m = rise/run

m = 5/9

Answer:

m = 5/9

Step-by-step explanation:

Use the slope formula to find the slope m.

[tex]m = \frac{5}{9}[/tex]

A company makes fifty-six million, nine hundred two thousand, one hundred twenty six widgets each year. what is this number in stardard form?​

Answers

50,000,000+6,000,000+900,000+2,000+100+20+6

could someone help me with this question

Answers

Answer:

10/1

Step-by-step explanation:

Of the 800 people at a concert, 42% of them were teenagers. How many teenagers were at the concert

Answers

Answer:

336 of them were teenagers

Answer:

There are 336 teenagers at the concert.

Step-by-step explanation:

You are welcome

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: Should be 150mm

Step-by-step explanation:

Find the surface area of each figure. Round answers to the nearest tenth, if necessary

2 mm-

2/5 mm

10 mm

3 mm

O

75 mm2

150 mm2

92 mm2

86 mm2

Answer: second one; 150mm^2

Which of the following situations result in an answer of 2/3? Select three that apply.

A: three dogs each drink 2 cups of water. How many cups of water does each dog drink in all?
B: Two apples split among 3 people. How much of an apple does each person recieve?
C: Two gallons of water needed to fill 3 fish tanks of an equal size. How many gallons of water are required for each tank?
D: Three cupcakes are divided among 2 children. How much of a cupcake would each children receive?
E: Two bags of bird seed are split among 5 parrots. What fraction of a bag does each parrot receive?
F: Three cats share 2 cans of tuna. How much of a can does each cat receive?

Answers

B: is the best answer because there splitting 2 apples among 3 people and that means there’s not enough for all, so they all receive 2/3 of an apple to all get shared with equally. Hopefully this helps!

Help ASAP ASAP

Help asappp

Answers

Answer:

-3.9

Step-by-step explanation:

y/0.3 - 1.4= -14.4
•0.3. •0.3
y-1.4= -4.32
+1.4= +1.4
y= -2.92

A car is traveling at a steady speed. It travels 1 3/4 miles in 2 1/3 minutes. How far will it travel in 39 minutes ​? In 1 hour ​?

Answers

Answer: 45

Step-by-step explanation:  

1 and 3/4 miles               ???? miles

--------------------  = ---------------------

2 and 1/3 minutes         39 minutes

Cross multiplies:

(1 and 3/4) x 39 =   (2 and 1/3)  x    ?

7/4 x 39/1   = 7/3 x ?

273/4 = 7/3 x ?

? = 273/4 * 3/7 =  39*3/4   <---- 7 x 39 = 273

                        = 117/4

                         = 29 and 1/4

---------------------------------------------------------------

1 and 3/4 miles              ?

------------------ = ------------------

2 and 1/3 min             60 min

(1 and 3/4) * 60 = (2 and 1/3) * ?

7/4*60/1 = 7/3 * ?

105 = 7/3 * ?

? = 105*3/7

 = 315/7

 =  45

-12(x - 3) - (2x - 6) = 60

Answers

Answer:

x=-9/7

Step-by-step explanation:

Answer:-12(x - 3) - (2x - 6) = 60

= -12 OJHORZHOEHFOSDHSKDKCDEZIAIFDNSQDKFFFFFFFFFFFFZIDJAZIFJOIJF

Step-by-step explanation:

EFKJNDOIDNOIEFJOAIZFOUJFNJBVJFNVJNZJCN

How many arrangements are there of 12 distinct items?

Answers

Answer:

There are 479,001,600 arrangments of 12 distinct items.

Step-by-step explanation:

Arrangements of n items:

The number of possible arrangements of n itens is given by the factorial of n, that is:

[tex]A_{n} = n![/tex]

12 items:

[tex]A_{12} = 12! = 479001600[/tex]

There are 479,001,600 arrangments of 12 distinct items.

Mario has 6 more marbles than Sandra. Let `s` represent the number of marbles that Sandra has. Write an expression that represents the number of marbles that Mario has.

Answers

Answer:

6+s

Step-by-step explanation:

six more marbles so add 6 to s

Which equation has a slope: 3/2, y-intercept: –4

Answers

Answer:

The equation of the line that has a slope of 3/2 and a y-intercept of -4 is:

y=3/2x-4.

Step-by-step explanation:

You want to find the equation for a line that has a slope of 3/2 and a y-intercept of -4.  First of all, remember what the equation of a line is:

y = mx+b  Where:  m is the slope, and  b is the y-intercept

All you really have to do here is  replace m with 3/2, which is the slope you gave, and  replace b with -4, the y-intercept you gave,  in the equation y=mx+b.

Find the slope of the line that passes through the two points. (0, 0), (3, 2)

Answers

Answer:

the slope is 2/3 bcoz u do 2-0/3-0

Help please
look picture and match

Answers

Answer:

Rectangle= Choice four

Square= Choice three

Trapezoid= Choice one

Parallelogram= Choice two

Rhombus= Choice five

-----------------------------------------------------

I think these are the correct answers. Hope this helps!

15 POINTS!!!!
7 ÷ 0.1 = 7 ÷ 1/10

7 is 1/10 of____.

Help Please

Answers

7 is 70 out of 1/10.

please give thanks if i am correct, i think this is the question you're asking.
7 is 70 outta 10 !!!!

Before dividing, decompose 420 to make it easier to divide by 4.

Answers

Answer:

4/420=105

Step-by-step explanation:

decompose 42 and divide by 4 is 10 and is 20 divided by 4 is 5

Help please, what's the answer?

Answers

Question 7

Exponential functions have a variable degree.

Answer is 3^x + 6.

Question 8

Changing 15.3% to a decimal, we get 0.153.

Answer: Choice (4)

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