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

In a survey a bunch of students were asked to name their favorite elective class. There were 15 students who chose "other". How many students participated?

Answers

other = 20 students which equals 25 percent, because math and english sum to 75 percent. if 25* 4 is 100, then you can do 20*4 to get 80, which is how many students participated

After going shopping we had only 10% of our money left. We spent $180 how much money did we have at first

Answers

Answer:

Answer

Step-by-step explanation:

if you spent 180 dollars, wguch was 90 percent of your money, you want to mark it up 10 percent. 180 x 1.10 is 198

$180. 90% spent
$X. 100%. had at first

X=180•100/90
X=200$

At first they had $200

PLSS HELP WILL GIVE BRAINLIEST



Type the correct answer in the box. Spell all words correctly.
Which area of number sense relates to the quantity of ingredients in recipes?
A _______ is an area of number sense that relates to the quantity of ingredients in recipes.


Answers

A measurement is an area of number sense that relates to the quantity of ingredients in recipes

Answer:hey cuz that bum is wrong answer is not measurement

Step-by-step explanation:

I nees help thank u it a math question I been stuck on ir​

Answers

Answer: $43.20

Step-by-step explanation:

First, we are going to take the price of the box lunch ($6.50)

Now we are going to multiply it by 5

$6.50x5=$32.50

Now we take the total cost of the trip and subtract it by $32.50

$248.50-$32.50=216

now divide 216 by 5

216/5

$43.20

Find the value of x.
HELP

Answers

x² = 6² + 19²

x² = 36 + 361

x = √397

Jen opens a bank account with a deposit of $100. Over six years, the balance in the account changes at an increasing rate until it reaches a balance of $200. On your paper, sketch a graph that models the balance in the account as a function of the number of years since Jen opened the account. Describe your graph.

• What did you label the vertical and horizontal axes?
• What is the general shape of your graph?
• Is your graph increasing or decreasing?
• State two points that should definitely be on your graph. What do those points represent?​

Answers

Answers are

1. Vertical axes represents bank account and horizontal axes represents year.

2. Exponential increase shape or increase shape.

3. Increasing (Just as the picture shows)

4. (0, 100) represents original bank account is $100 and (6, 200) represents six-year later bank account is $200.

Graph:

a diagram that represents the variation of a variable in comparison with that of one or more other variables.

Learn more Graph about  here:

https://brainly.com/question/15165011?referrer=searchResults

#SPJ2


In a class of 29 children, 15 like history and 21 like math. They all like at least one of
the two subjects.
What is the probability that a child chosen at random from the class likes math but
not history?

Answers

Answer:

14/29

Step-by-step explanation:

The probability that a child chosen at random from the class likes math but not history is 14/29  or 0.4827.

It is given that the in a class of 29 children, 15 likes history and 21 like math.

It is required to find the probability that a child chosen at random from the class likes math but not history if they all like at least one of the two subjects.

What is the Venn diagram?

It is defined as the diagram that shows a logical relation between sets.

The Venn diagram consists of circles to show the logical relation.

We have:

Total students in a class = 29

First we have to find the number of students who likes both subject for this we have draw a Venn diagram shown in the picture.

From the Venn diagram number of students who likes both = 7

And number of students likes only math = 14

Hence, the probability will be:

[tex]p = \frac{14}{29}[/tex]   ( because total number of students is 29)

or P = 0.4827 or 48.27%

Thus, the probability that a child chosen at random from the class likes math but not history is 14/29  or 0.4827.

Learn more about the Venn diagram here:

brainly.com/question/1024798

Using formulas in geometry help! due tommorow

Answers

Answer:

1. P= 12

2. A=6

3. 3.75

Step-by-step explanation:

Hope This Helped

please this is overdue​

Answers

Answer:

area is 15 square units

16 units for perimeter

Step-by-step explanation:

perimeter refers to the sum of all of the sides

if the width of this rectangle is 3 squres, and the length of the square is 5 squares then

3+3+5+5 = 16 units for perimeter

for area = length x width

since length = 5 and width = 3 then

5x3=15

so area is 15 square units

Please help

Look at picture

Answers

Answer:

the third and fifth answers are correct

Step-by-step explanation:

π is a constant which equals 3.14 or 22/7

What is the interquartile in the dot plot for Mrs. Orlando’s daycare? i need thisssss!!

Answers

11, by subtracting 17-6


Ms. Howard is companing the cost to attend two different preschools.
Pencil
0 Clear
Preschool A charges a $40.00 registration fee plus $5.00 per day of attendance.
Preschool B does not charge a registration fee but charges $7.50 per day of attendance.
.
At what number of days will the cost of attendance be the same for both preschools?
3 days
6 days
16 days
None above

Answers

Answer:

6 days

Step-by-step explanation:

its 6 days

Answer this correctly I’ll give u brainalist + 10 points

Answers

the answer is B. II only


5th grade math. correct answer will be marked brainliest.

Answers

Answer:

3 1/3 is your answer.

Step-by-step explanation:

Rewriting equation:

4 + 5/6 - 1 - 1/2

4 - 1 = 3

5/6 - 1/2 = ?

Find the LCD of 5/6 and 1/2 and rewrite to solve.

5/6 - 3/6 = 2/6

2/6 = 1/3

3 + 1/3 = 3 1/3

Whole number: 3

numerator: 1

denominator: 3

Answer:

3 1/3 is the Answer to the problem

What are the solutions to the following equation?
[m] = 8.5
The value of m is equal to 8.5 and
because each distance from zero is 8.5.

Answers

Answer: -8.5

Step-by-step explanation:

I got it right on edg

Answer -8.5

Step-by-step explanation:

Distribute -6 ( 3c + 5)

Answers

Step-by-step explanation:

-6( 3c + 5)

Distributing

= - 18c - 30

ready ready upp here we goooooooooo

Answers

Answer:

all of them

Step-by-step explanation:

:)

yepppp I'm pretty surr

Answer:

A and C are correct

Step-by-step explanation:

Can you tell me if that was right? :D

A triangle has side lengths of 4cm, 6cm, and 11cm. Is the triangle acute, obtuse, or right?

Answers

Answer:

No

Step-by-step explanation:

Three segments 4cm, 6cm, and 11cm cannot form a right triangle because if they could, then by Pythagorean theorem, 4^2 + 6^2 = 11^2, which is not true.

Moreover, the three segments cannot form an acute or obtuse triangle because by Triangle Inequality Theorem, the sum of two sides has to be greater than the third side. Here, (4cm + 6cm) is NOT larger than 11cm, and thus you cannot form a triangle.

Hope it helps,

Please mark me as the brainliest

Thank you

In AOPQ, the measure of angle Q=90°, the measure of angle O=66°, and QO = 4.5 feet. Find the length of OP to the nearest tenth of a fo​

Answers

Answer:11.1 feet

Step-by-step explanation:

An archer releases an arrow with an initial velocity of 20 feet per second at a height of 12 feet. The path the arrow takes can be modeled using the function f(x)=−16x2+20x+12, where f(x) represents the height, in feet, of the arrow and x represents the time the arrow travels in seconds. What is the maximum height, in feet, reached by the arrow? Round your answer to the nearest hundredth if necessary. Do not include units in your answer

Answers

Answer: 18.25

Step-by-step explanation:

The arrow reaches its highest point at the y-value of the turning point. Thus, we need to find the maximum quadratic function.

-16x^2+20x+12

We know that the maximum( or minimum) of a parabola is reached at x= -b/(2a)= -20/ 2(-16)= 18.25

Showing that the object will reach a maximum height of 18.25 feet

Can someone help me with this?​

Answers

Answer:

No

Step-by-step explanation:

6^2+4^2=52

7^2=49

49 is not equal to 52, so no it is not a right triangle

Answer:

Step-by-step explanation:

yes yes i can i just need you pitcher the one u put dose not work

ΔABC with vertices A(-3,-3), B(6,3), and C(6,-9) is dilated by a scale factor of 1/3 from the origin. What are the coordinates of A'? *

Answers

Answer:

(-1,-1)

Step-by-step explanation:

Please help me!! I’m really bad at math

Answers

10 squared plus 18 squared equals C squared is the set up
After solving you should get 20.59

Find the accumulated value of an investment of $1710 at 5% compounded annually for 20 years.
A) $4321.08
B) $3334.50
C) $3420.00
D) $4537.14

Answers

Answer:

D

1710(1+0.05)²⁰=4537.14

What are the new coordinates of a point A (3, -2) after a 90° rotation counterclockwise?

Answers

Answer:

A

Step-by-step explanation:

I am assuming you mean about the origin in that case it would be 3,2

because it is quad. 1 where both x and y are pos

if my answer helps please mark as brainliest.

Question

what's 10÷0=_

Answer please​

Answers

Answer:

Undefined

Step-by-step explanation:

Answer:

you cant divide by 0

Step-by-step explanation:

no solution

Calculate if C=24
PLEASE HELP!!! ​

Answers

Answer:

-51

Step-by-step explanation:

24 / 8 - 6 - 48 =

3 - 6 - 48 =

-3 - 48 = -51

Hope that helps!

DeShawna and her team gathered data for their ball and recorded it in the table shown below. Homework Help
Drop Height
Rebound
Height
150 cm
124 cm
70 cm
59 cm
120 cm
100 cm
100 cm
83 cm
110 cm
92 cm
40 cm
33 cm
a What is the rebound ratio for their ball?

Answers

Answer:

Step-by-step explanation:

Please clarify the Question

which of the following is correct statement about this relation?

Answers

Given:

The relation is:

(-3,1),(-2,3),(-1,5),(0,7),(1,9),(2,11)

To find:

The slope and y-intercept for the given relation.

Solution:

Consider any two points from the given relation.

Let the two points are (0,7) and (1,9). So, the slope of the given relation is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{9-7}{1-0}[/tex]

[tex]m=\dfrac{2}{1}[/tex]

[tex]m=2[/tex]

The slope of the given relation is 2.

A point of relation is (0,7). It means the value of relation is 7 at x=0.

So, the y-intercept is 7.

Therefore, the correct option is D.

6) The coordinates of the origin are​

Answers

Answer:

(0,0)

Step-by-step explanation:

Required

Determine the coordinates of the origin

In geometry, the coordinates of the origin is the point where x and y are 0.

i.e.

[tex]x = 0[/tex] and [tex]y = 0[/tex]

So, the coordinate (x,y) is (0,0)

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