Which expression is a sum of cubes?
O-27ab6 +8a9b12
-9a3b6 +8810
O 9a3b6 +8a9b12
27a368 + 8a612

Answers

Answer 1

Answer:

[tex]-27 a^3 b^6 + 8 a^9 b^{12} [/tex]

Step-by-step explanation:

In the picture attached, the problem is shown.

A polynomial in the form x³ + y³ is called a sum of cubes

If we take the expression:

[tex]-27 a^3 b^6 + 8 a^9 b^{12} [/tex]

and take cubic root to each term, we get:

[tex] x = \sqrt[3]{-27 a^3 b^6} [/tex]

[tex] x =\sqrt[3]{-27} \sqrt[3]{a^3} \sqrt[3]{b^6}[/tex]

[tex] x = -3 a b^2[/tex]

[tex]y = \sqrt[3]{8 a^9 b^{12}} [/tex]

[tex] y =\sqrt[3]{8} \sqrt[3]{a^9} \sqrt[3]{b^{12}}[/tex]

[tex] y =2 a^3 b^4[/tex]

The other options are not sum of cubes because 9, -9, b^10 and b^8 are not a perfect cubes.

Which Expression Is A Sum Of Cubes?O-27ab6 +8a9b12-9a3b6 +8810O 9a3b6 +8a9b1227a368 + 8a612

Related Questions

2. If you’re good at geometry could somebody please help me?

Answers

Answer:

See the explanation.

Step-by-step explanation:

The Pythagorean theorem states that a^2 + b^2 = c^2, where a and b are the legs of the triangle and c is the hypotenuse (diagonal, longest side) of the triangle.

We can see that the legs are labeled 15 (blue) and 8 (red). Substitute that into the equation.

(8)^2 + (15) ^2 = c^2

From there, we can simplify and solve for c.

64 + 225 = c^2. Add.

289 = c^2. Take the square root.

c = 17.

I hope this helps!

Answer: 17

Pro tip: 3/4/5, 5/12/13 and 8/15/17 are the first three Pythagorean Triples on the list and teachers like to use them for problems.  The multiples also come up, like 6/8/10.  Learn these and save yourself some calculation down the road.

Let's do it like they want

a² + b² = c²

8² + 15² = c²

64 + 225  = c²

289 = c²

√289 = √c²

17 = c

Find the volume of the following figure.



104.6 km3

262.1 km3​​​​

186.7 km3

560 km3

Answers

i’m pretty sure it’s 560

Hello!

Answer:

[tex]\boxed{ \bf The~volume~of~the~figure~is~186.7~km^3.}[/tex]

___________________________________________________

Explanation:

We must use a certain formula to find the volume. The formula is:

V = [tex]\frac{lwh}{3}[/tex]

Substitute the values:

V = (10 × 7 × 8) ÷ 3

V = [tex]\frac{560}{3}[/tex]

V = 186.7

What is 5,267 rounded to the nearest ten?

Answers

Answer:

2,270

Step-by-step explanation:

If you look at the last two numbers, then you can see that the closest ten to 67 is 70.

Answer:

5,270

Step-by-step explanation:

WE CONSIDER 7 TO BE THE NO WHICH WILL BE USED FOR ROUNDING

SO 7 IS MORE THAN 5 SO WE ADD 1 TO THE TENS PLACE

0,1,2,3,4=+0

5,6,7,8,9=+1

I will give u 100 points if u can answer this quition pls it is hard for me John has three pieces of rope. One piece was 31 cm long, one piece was 0.33 m long, and one piece was 0.45 m long. John wants to know how much rope he has. Which statement best describes how John should figure out the amount of rope he has? Add 31 + 0.33 + 0.45; John has 31.78 cm of rope. Add 31 + 0.33 + 0.45; John has 31.78 m of rope. Add 0.31 + 0.33 + 0.45; John has 1.09 cm of rope. Add 0.31 + 0.33 + 0.45; John has 1.09 m of rope.

Answers

Answer:

Add 0.31 + 0.33 + 0.45;

Step-by-step explanation:

Hope I got it right! If not i'm sorry.

Answer: The last one where it’s 1.09 rope

Step-by-step explanation: cm and m are different measurements so this is the only one that works since 31 would be a decimal  

Please help me with these two questions. Find the circumference AND area for the circles on the right. (I will mark brainliest)

Answers

5). Radius = 6 km. Circumference = 12π km. Area = 36π km²

6). Diameter = 8 mm. Circumference = 8π mm. Area = 16π mm²

Answers:

1. Circumference=12 pi on

Area=36 pi km^2

2. Circumference=8 pi mm

Area=16 pi mm ^2

Please see theattachedpicturefor full solution

Hope it helps

Good luck on your assignment

how would i graph this on a corrdinate plane you can just tell me the corridante

Answers

It’s kind of hard to explain so I drew it out.

solve for x. Will mark the brainliest.

Answers

Answer:

x=10 degrees

Step-by-step explanation:

11x+14=46+(8x-2)

11x+14=46+8x-2

3x+14=44

3x=30

x=10

Answer:

x=10

Step-by-step explanation:

180-(11x+14)=intern angle

166-11x=intern angle

166-11x+8x-2+46=180

-3x+210=180

180-210=-3x

-30=-3x

-30/-3=x

10=x

17. What is the slope of the line given by the equation
2x + 9y = -18?
A.-2
B.-
[tex] \frac{9}{2} [/tex]
c. -
[tex] \frac{2}{9} [/tex]
D.2
E.9​

Answers

Answer:

slope = - [tex]\frac{2}{9}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + 9y = - 18 ( subtract 2x from both sides )

9y = - 2x - 18 ( divide all terms by 9 )

y = - [tex]\frac{2}{9}[/tex] x - 2 ← in slope- intercept form

with slope m = - [tex]\frac{2}{9}[/tex]

The circumference of a circular painting is 59.66 feet. What is the radius of the painting? Use 3.14 for π and do not round your answer.​

Answers

Answer:

9.5 feet

Step-by-step explanation:

So let's review the equations we need to know.

Circumference= π x d or π x 2r

Since we are solving for r, let's stick with the 2nd one.

Next, plug in the values.

59.66=3.14 x 2r

simplify.

59.66=6.28r

9.5=r

done!

the radius is 9.5 feet!

Find the value of x In this triangle

Answers

Answer:

x = 25

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees

2x+ x+15 +90 = 180

Combine like terms

3x+ 105 = 180

Subtract 105 from each side

3x+105-105 = 180-105

3x = 75

Divide each side by 3

3x/3 = 75/3

x = 25

The value of X is 25 degree.

please see the attached picture for full solution

Hope it helps..

Good luck on your website

How many numbers can you make between 0-99 using exactly four 4s?

Answers

Answer:

Number Four Fours Term Solved By

0 4 - 4 + 4 - 4 johnv

1 (4/4) / (4/4) johnv

2 4/4 + 4/4 pilot

3 (4+4+4) / 4 pilot

4 [ (4/4) ^4 ] * 4 catbells

5 [ 4*4 +4 ] / 4 pilot

6 [ (4+4) /4 ] +4 scruffy

7 4+4 - (4/4) Flora Flatbelly

8 4*4 - 4 - 4 catbells

9 4/4 +4 +4 scruffy

10 4 + √4 + √4 + √4 P Rubie

11 44 / (√4 + √4) christina

12 4 + 4 + √4 + √4 johnv

13 4!/(√4) + 4/4 tackline

14 4+4+4 + √4 D12Bit

15 (44/4)+4 D12Bit

16 4*4*4 / 4 D12Bit

17 4*4 + 4/4 D12Bit

18 4*4 + 4 / √4 D12Bit

19 4! - 4 - 4/4 ?

Solutions to the Second Challenge: 20 to 99

Number Four Fours Term Solved By

20 4 * 4 + √4 + √4

21 4! - 4 + 4/4

22 4! - (4! / 4 - 4)

23 4! - 4^(4-4)

24 4 * ( 4 + 4/√4 )

25 4! + 4^(4-4)

26 4! + (4! / 4 + 4)

27 4! + 4 - 4/4

28 4! + 4 * (4/4)

29 4! + 4 + 4/4

30 (4 + 4/4)! / 4

31 (4! + 4)/4 +4! MicheleR

32 4*4 + 4*4

33 (4 - .4)/.4 + 4! IceMantis

34 4*4 * √4 + √

35 4! + 44/4

36 4*4 * √4 + 4

37 4! + (4! + √4) / √4 christina

38 44 - 4 - √4

[39] 4! + 4! - 4/.4~

40 44 - √4 - √

41 (4*4 + .4) / .4

42 44 - 4/√4

43 44 - 4/4

44 44 + 4 - 4

45 44 + 4/4

46 44 + 4/√4

47 4! + 4! - 4/4

48 44 + √4 + √4

49 4! + 4! + 4/4

50 44 + 4! / 4

51 (4! - 4 + .4) / .4 Mr.B

52 44 + 4 + 4

[53] 44 + 4 / .4~

54 4! + 4! + (4! / 4)

55 [4! - ( 4 / √4 ) ] IceMantis

56 44 + 4! / √4

[57] 4! + 4! + 4/.4~

58 4! + 4! + 4/.4 IceMantis

59 4!/.4 - 4/4 FireMantis

60 44 + 4 * 4

61 4!/.4 + 4/4 FireMantis

62 (4 + 4) ^ √4 - √4

63 (4! + √4) / .4 - √4 FireMantis

64 4 * 4 * √4 * √4

65 (4^4 +4) / 4 Jeremy

66 (4 + 4) ^ [√4] + √4

67 [4! + √4] / .4 + √4 FireMantis

68 (4 + 4) ^ √4 + 4

69 (4!+4-.4)/.4 Partick

70 44 + 4! + √4 FireMantis

71 (4 + 4! + .4) / .4 IceMantis

72 [ (4! / 4) ^ √4 ] * √4

[73] [4! * √4 + √.4~)] / √.4~) capOCC

74 4! + 4! + 4! + √4 FireMantis

75 (4! + √4 + 4) / .4 FireMantis

76 4!*4 - 4! + 4 Jeremy

[77] (4/.4~) ^ √4 - 4 FireMantis

78 √4 / .4~) * [4! + √4] ArBeeJay Ruakura

79 (4/.4~) ^ √4 - √4

80 4! * 4 - 4*4 -

[81] (4/.4~) * (4/.4~) -

82 (4! / .4) + 4! - √4 Partick

[83] (4/.4~) ^ √4 + √4 -

84 4! * 4 - 4! / √4 -

[85] (4/.4~) ^ √4 + 4 -

86 4!*4 - 4/.4 IceMantis

87 4! * 4 - 4/.4~ -

88 4! * 4 - 4 - 4 -

89 4! + [4! + √4]/.4 RyVikOCC

90 4! * 4 - 4! / 4 -

91 4 * 4! - (√4 / .4) IceMantis

92 4! * 4 - √4*4) -

[93] 4 * 4! - [ √4 / √(.4~) ] IceMantis

94 4! * 4 - 4/√4 -

95 4! * 4 - 4/4 -

96 4! * 4 + 4 - 4 -

97 4! * 4 + 4/4 -

98 4! * 4 + 4/√4 -

[99] (4!*√4-4) / .4~ IceMantis

Step-by-step explanation:

2 Points
In the diagram below, DE is parallel to ty. What is the value of y?
D
100"

.
O A. 60
B. 100
C. 120
D. 80

Answers

Answer:

80 degrees

Step-by-step explanation:

Co-interior angles

The measure of y is 80 degree.

Option D is correct.

What are Parallel line?

The basic qualities listed below make it simple to identify parallel lines.

Parallel lines are defined as straight lines that are always the same distance apart.Parallel lines, no matter how far they are extended in either direction, never intersect.

As, from the property of parallel line we have

corresponding Angle are equalAlternate interior angle are equalCo interior angles are supplementary.

As, DE || XY then

y+ 100 = 180 ( Angles on same side of transversal)

y= 180- 100

y= 80 degree

Learn more about Parallel line here:

https://brainly.com/question/16701300

#SPJ3

Write the slope intercept form 2x-3y=9

Answers

2222437666aaaaaaaaaa

Answer:

y = 2/3 x - 3

i hope i helped

Write an inequality to model the situation.
The temperature must be kept below 32 degrees.

Answers

Answer:

x<32

Step-by-step explanation:

Answer:

t > 32

Step-by-step explanation:

Wich equation represents a linear function

Answers

Answer:yeah ❤️

Step-by-step explanation:

te tree♾

Answer:

y=x-3

or the 3rd option.

Identify if each graph represents a function. Explain your reasoning.

Answers

Answer:

A and B

Step-by-step explanation:

Do the vertical line test! A and B pass the test, however the circle doesn't. That means the circle is not a function.

The largest z-score available in most tables is 2.99, which corresponds to a probability of 99.86%. A fair coin is
tossed 200 times.
a) What number of heads observedžwould correspond to a z-score of 2.99? [2]

Answers

Answer:

The number of heads observed is 121.14 heads

Step-by-step explanation:

The formula for the z-score of a proportion is given as follows;

[tex]z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{pq}{n}}}[/tex]

Where:

[tex]{\hat{p}[/tex] = Sample proportion

p = Population success proportion = 0.5

q = 1 - p = 1 - 0.5 = 0.5

n = Number in of observation = 200

z = 2.99

Hence, we have;

[tex]z=\dfrac{\hat{p}-0.5}{\sqrt{\dfrac{0.5 \times 0.5}{200}}} = 2.99[/tex]

Therefore;

[tex]{\hat{p}-0.5}{} = 2.99 \times \sqrt{\dfrac{0.5 \times 0.5}{200}} = 2.99 \times\dfrac{\sqrt{2} }{40}[/tex]

[tex]{\hat{p}[/tex] = 0.6057

[tex]Whereby \ \hat p = \dfrac{Number \ of \ heads}{Number \ of \ observation} = \dfrac{Number \ of \ heads}{200} = 0.6057[/tex]

∴ The number of heads observed = 200 × 0.6057 = 121.14 heads.

Find the area of the trapezoid PART. Need this done by 6/6/20

Answers

Answer:

7.5 squared units

Step-by-step explanation:

[tex]b_1 = 4\: units, \:\: b_2 = 1 unit \:\: h = 3 \: units \\

Area\: of \:Trapezoid = \frac{1}{2} \times (b_1 + b_2) \times h \\ \\ = \frac{1}{2} \times (4 + 1) \times 3 \\ \\ = \frac{1}{2} \times 5 \times 3 \\ \\ = \frac{1}{2} \times \times 15 \\ \\ = 7.5 \: {units}^{2} [/tex]

The table represents a function.

A 2-column table with 4 rows. The first column is labeled x with entries negative 4, negative 1, 3, 5. The second column is labeled f of x with entries negative 2, 5, 4, negative 8.
What is f(5)?

–8
–1
1
8

Answers

Answer:

The value of f(5) is:

-8

Step-by-step explanation:

Lets make  table which represents the function.

Th table has 2 columns, first column contains values for x, second column contains values of y

The table has 4 rows, which means that there are 4 values of x, which corresponds to 4 values of y.

The table is given as:

x          f(x)

-4         -2

-1           5

3           4

5          -8

We need to find the value of f(5).

We can get the value of f(5) if we substitute x = 5 into f(x)

We can see in the table, that if we substitute x=5 in f(x), we get the value of f(5) = -8

Which is the answer

Answer:

F(5)=8

Step-by-step explanation:

You have saved $900 for a vacation to Aruba. The total cost of the trip is $2100. If you save $150 a week, how many weeks will it take before you have enough money for your trip?

Answers

Answer:

8 weeks

Step-by-step explanation:

$2100 - $900 = $1200

$1200/$150 = 8 weeks

Which of the following represents the reflexive property of length? Question 6 options: A) m∠A = m∠A B) If AB = CD, then CD = AB C) x° = x° D) AB = AB

Answers

Answer:

D) AB = AB  

Step-by-step explanation:

The reflexive property states that a value is equal to itself: x = x.

The reflexive property of length states that a length is equal to itself:

AB = AB

A) and C) are wrong. They represent the reflexive property of angles.

B) is wrong. It represents the symmetric property of length.

Answer:

D

Step-by-step explanation:

Very large or very small numbers are best input with exponential notation. For instance, the number 8,000,000 (eight million) is equal to 8×106 . In this course, you can enter that as either 8 * 10 ^ 6 or as 8e6 in these problems. Try out exponential notation in the question below.

One light year is equal to 9,460,730,472,580.8 kilometers. Enter this number below in exponential notation. The tolerance on this question is 5%.

________km

Answers

Answer:

[tex]9*10^{12}km[/tex]

Step-by-step explanation:

[tex]9,460,730,472,580.8 km[/tex]

First, we can work out 5% of our number, by multiplying it by 0.05

[tex]9,460,730,472,580.8 * 0.05 = 473,036,523,629[/tex]

Now, if we add and subtract our 5% calculated from our original number, we can work out the minimum and maximum value that our final answer can be in the range of.

[tex]9,460,730,472,580.8 + 473,036,523,629 = 9.933767*10^{12}\\9,460,730,472,580.8 - 473,036,523,629 =8.98769395*10^{12}[/tex]

We can see that [tex]9*10^{12}[/tex] is in the range of valid answers, as:

[tex]8.9*10^{12} \leq 9*10^{12} \leq 9.9 * 10^{12}[/tex]

So, our final answer is:

[tex]9*10^{12}km[/tex]

Kesley graphed the equation y = 3x + 1 as shown below

Answers

First of all, what graph and second, what is "shown below"

The graph will be a line that passes through these points. In this case, the line will have a positive slope of 3 and a y-intercept of 1. None of the options is correct.

The graph of the equation y = 3x + 1 is a straight line.

To graph this equation, we need to plot points that satisfy the equation and then connect those points to create the line.

We can choose any values for x and calculate the corresponding y values using the equation. Let's choose a few x-values to get started:

When x = 0:

y = 3(0) + 1 = 1

So we have the point (0, 1).

When x = 1:

y = 3(1) + 1 = 4

So we have the point (1, 4).

When x = -1:

y = 3(-1) + 1 = -2

So we have the point (-1, -2).

We can continue this process and plot more points to have a clear representation of the line.

Once we have a few points, we can connect them with a straight line.

The resulting graph will be a line that passes through these points. In this case, the line will have a positive slope of 3 and a y-intercept of 1. Since Kesley draws the wrong x-intercept.

None of the given options is correct.

Learn more about equations here:

https://brainly.com/question/30452081
#SPJ4

The question given is incomplete, the complete question is attached in the image below.

Pls help with this it is really quick

Answers

Answer:

The first one!

Step-by-step explanation:

1/4*1/4*1/2*= 1/32

PLSSSS HELP NEED ASL

Answers

Answer:

27/36.

Step-by-step explanation:

By definition, the tangent function is defined as the ratio of the side opposite to the angle to the side adjacent to the angle (opp/adj).

From angle C, the opposite side is 27, and the adjacent side is 36. We can say that tan C = 27/36.

Match the term to its definition.

1. represent a range of values within which a true mean will fall
an estimate that is a single number which is represented as a
2.
point on a line
subset of the total population from which estimates about the
3.
population can be made

interval estimate
point estimate
Sample data

Answers

Answer:

Sample data - subset of the total population from which estimates about the  population can be made

Point estimate - an estimate that is a single number which is represented as a  point on a line

Interval estimate - a range of values within which a true mean will fall

Hope this is correct :)

2 Points
In the diagram below, DE is parallel to 7. What is the value of x?
2
119
F
X
y
O A. 115
B. 85
C. 65
D. 105
O

Answers

Answer:

C

Step-by-step explanation:

The angle adjacent to x on XY = 115° ( corresponding angle )

This angle and x are adjacent and supplementary , thus

x = 180 - 115 = 65 → C

Answer:

65⁰

Step-by-step explanation:

x + 115⁰ = 180⁰ (co exterior)

x = 180 - 115 = 65⁰

I need help on this.​

Answers

Answer:

11042

Step-by-step explanation:

since it says "in all" that means u have to add them up

6,836 + 4,206 = 11,042

You have bumped into the car in front of you. You are injured in the collision, resulting in $2,500 in medical expenses. Your policy provides only liability insurance, with a limit of $25,000, and your deductible is $500. How much will your insurance company pay toward these medical expenses?
a) $0
b) $500
c) $2,000
d) $2,500

Answers

Answer: $2,000

Step-by-step explanation:

Your insurance companies limit is 25,000. You only need 2,500 but there is a deductible. You will get 2k

d to master them
A chameleon is looking for prey. Let positive numbers represent the elevation of prey above the chameleon and
negative numbers represent the elevation of prey below the chameleon
The chameleon spots a fly and a grasshopper.
What does an elevation of 0 m represent in this situation?
Choose 1 answer
The elevation of the fly
The elevation of the chameleon

Answers

The answer to this question is a
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