The sides of two cubes differ by 2 cm and their volumes differ
by 152 cm^3 Find the length of the side of the smaller
culce.

Answers

Answer 1

The length of the side of the smaller cube is 3.48cm

Let the length of the smaller side be xThe length of the bigger side will be x + 2

Volume of the smaller cube  = x^3Volume of the larger cube  = (x+2)^3

If their volumes differ  by 152 cm^3, then;

x^3 - (x+2)^3 = 153

Expand

x^3 - (x^3 + 3x^2(2^2) + 3x(2^3) + 2^4) = 153

x^3-x^3-12x^2-24x + 16 = 153

-12x^2-24x + 16 = 153

12x^2 + 24x - 16 - 153 = 0

12x^2 + 24 -169 = 0

On factorizing, the value of x is 3.48. This shows that the length of the side of the smaller cube is 3.48cm

Learn more on volume of cubes here:  https://brainly.com/question/1972490


Related Questions

if you can answer any of these that would be great !

Answers

Answer:

Step-by-step explanation:

number 2) 0

Please Help Quickly I Need Help ASAP

Answers

Answer:

the first question is 2,0 and the second answer is 2,5

Step-by-step explanation:

Determine if 0.929229222922229222229... is rational or irrational and give a
reason for your answer.

Answers

An irrational number is a number which cannot be written in the form p/q where p and q are both integers and q is not equal to zero. Here, the above number cannot be written in the form p/q.Secondly, irrational numbers are non-terminating and non-recurring numbers.The above number is an example of non-terminating and non-recurring number.So, it is irrational.

Answer:

It is irrational.

Hope you could get an idea from here.

Doubt clarification - use comment section.

If 3x-2=11, what is the value of 6x+5? PLS HELP

Answers

Answer:

approximately 31

Step-by-step explanation:

3X-2=11

3x=13

x=13/3 = 4.3

then 6X+5=6×4.3+5 = 30.8 or approximately

Elliott needs 3/4 of a cup of sugar to make a dozen chocolate chip cookies. How many cups of sugar does he
need to make 4 dozen.

Answers

Answer:

3 cups

Step-by-step explanation:

3/4 times 4 equals 12/4. divide and get 3.

Draw the graph of y= -6

Answers

Answer:

See attachment.

Step-by-step explanation:

Helpppppppppp asappppppppp 20 points

Answers

Here’s a small hint: “miles per hour”

Put the amount of miles over the amount of hours then calculate the amount from there! It’s either the 2nd option or the 4th one! Hope it’s helpful!

Answer:

i say its c

Step-by-step explanation:

Select the equation(s) where X=5 is a solution. *
2x + 4=14
5x=55
6x + 3 =14
8 + 3x= 23
6x = 30
5x =1​

Answers

Answer:

2x + 4=14

8 + 3x= 23

6x = 30

The table shows a function. Is the function linear or nonlinear?

Answers

Answer:

nonlinear

Step-by-step explanation:

Find the slope of the line passing through the points A(-2,2) and B(7, -3)

Answers

Step-by-step explanation:

Formula :  m = (y2-y1)  /  (x2+x1)

(-3 - 2) / (7 - - 2)-5 / 9= -0.55555555555

Help me plz
A)12.7
B)13.3
C)12.4

Answers

Answer:

A.

Step-by-step explanation:

solve 2 2/3 x 3 3/5 using an area model of 4 squares.​

Answers

Answer:

Step-by-step explanation:

the answer

the true answer  is A) 4x^2+52x+165=320; x = 2.5

proof:

since they want to limit its area to 320 in^2

x must be equal 2.5, because 4.(2.5)^2+52(2.5)+165= 25+130+165=320;

the main rule of the area of a triangle is

A= (base x height )/2

let be b the base and h the height

so h=20- 6b

so 50= b x( 20-6b) /2, implies 100/b = 20 - 6b

if b=x, we have 100= 20x -6x² this  is equivalent to 6x² - 20x = -100

so the answer is

D) None of the choices are correct.

the largest dimensions that can be used for the fountain are

B) x^2+8x+16=800

C) x^2+16=800

proof

x^2+8x+16=x^2+8x+4², 4² is the area of the square fountain, and x^2+8x should be the remaining of the area, the total space that the fountain and sidewalk can use is 800, it is  less than 800 ft^2.

Use the same method for. x^2+16=800

Answer:

I don't know but good luck!!!!!

5
Select the correct answer.
Find the slope and the y-intercept of the equation 4x + 5y = -9.
А slope = 4/5 and y-intercept = -(9)/(5)
В. slope = '-(4)/(5) and y-intercept = "19)/(5)
C. slope = *(4)/(5) and y-intercept = -197(5)
D
slope = '(4)/(5) and y-intercept = "9/5

Answers

Answer:

slope = -4/5 and y-intercept = -9/5

Step-by-step explanation:

make y the subject of the formula

“write each number as a percent”
6 and 1/2 ( mix number)
Help please

Answers

Answer:

650%

Step-by-step explanation:

Since percent means "out of one hundred", we can use that to find out the answer6 would be 600 percent, and 0.5 would be 50 percentTherefore, the answer would be 650%

Original price of coat: $100.00 Discount: 21%

Answers

Answer:

$79

Step-by-step explanation:

Find the 12th term of the geometric sequence.
15, 30, 60, ...

Answers

⇒ common ratio =r=3 and the given sequence is geometric sequence. Where an is the nth term, a is the first term and n is the number of terms. ⇒ 12th term is 708588 . ⇒Sum=1062880 .

Answer:

465

Step-by-step explanation:

The way I thought about it was I subtracted 30 from 15 and got 15. Then I subtracted 60 from 30 and got 20. My conclusion is you continue to add 5 more to what you added before. 15, 30, 60, 85, 115, 150, 190, 235, 285, 340, 400, 465.

X=-2y,x-y=9 solve by substitution SHOW ALL WORK

Answers

Answer:

x = 6, y = -3

Step-by-step explanation:

x = -2y

x-y = 9

Substitute x = -2y into the equation.

;(-2y)-y = 9

-3y = 9

y = 9/-3

y = -3

Substitute y = -3 into the equation.

x = -2y

x = -2(-3)

x = 6

Solve for b
32 = 12 + 5/6b

Answers

Answer:

b=24, please give Brainliest if this helped you

Step-by-step explanation:

the least common multiple of 9 and 42 through prime factorization?

Answers

Answer:

3

Step-by-step explanation:

9= 3*3

42=3*7*2

I need help on this question it says Find the quotient 60÷5

Answers

60 divided by 5 would equal for your answer to be 12

Finley is making a pancake recipe
that calls for 3 cups of flour. He uses
13 cups of white flour and the rest will
be wheat flour. How many cups of
wheat flour will Finley need?

Answers

arkadaşım bilemiyorum

What is the slope of a line perpendicular to the line whose equation is x-y=6x−y=6. Fully simplify your answer.

Answers

It should by the answer but if not sorry
Answer:
(X,Y)
(0,6)


John is 9 times as heavy as his dog.
Determine which of the statement's below is true.
O John weighs 900% more than his dog.
O John weighs 800% more than his dog.
O John's dog weighs 800% less than John.
sources
O John weight is 800% of his dog's weight.

Answers

Answer:

John weighs 900% more than his dog

Step-by-step explanation:

The weight of John is 8x more than his dog.

Given that, John is 9 times as heavy as his dog.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let weight of John's dog be x, then weight of John will be 9x.

Difference of weight = 9x-x

= 8x

Therefore, the weight of John is 8x more than his dog.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

Assuming all other requirements are met, which of the following taxpayers do NOT qualify for the 2021 Earned Income Tax Credit? Ivy, age 22, is single with no dependents. She is not a dependent of another person. She has wages of $6,500 and investment income of $11,150. Eli is married to Lia; he will file using the married filing separately status. Lia moved out of their home on February 14, 2021. His daughter Zoe, who is his qualifying child, lived with Eli all year. Roy, age 19, is single. He is not a student and has wages of $18,500. He lives with his mother Rae. Rae cannot claim him on her tax return. Leo, age 67, is single with no dependents. He has wages of $7,500 and investment income of $9,650.

Answers

Based on the information given, the person who doesn't qualify for the income tax credit will be A. Ivy, age 22, is single with no dependents. She is not a dependent of another person. She has wages of $6,500 and an investment income of $11,150.

It should be noted that the earned income tax credit is important as it helps low-income workers get a tax break.

From the options given, Ivy is the taxpayer that does not qualify for the 2021 Earned Income Tax Credit. This is because she's not a dependent of another person.

Learn more about tax credit on:

https://brainly.com/question/25895721

An investor owns shares of Stock A and Stock B. The investor owns a total of 200 shares with a total value of $4000. How many shares of each stock does the investor own?

A table shows the price of two stocks. Stock A, 9.50 dollars; Stock B, 27 dollars.

Answers

Answer:

109.5890410958904

Step-by-step explanation:

thats  the shares that the investor owns

Olivia and her friends went to the movies with $45 to spend. She bought popcorn for $6.75 and paid
$9.25 for each movie ticket for her and her friends. What was the greatest number of movie tickets Olivia
could have bought?
A. 3
B. 4
C. 5
D. 6

Answers

the answer is 5 tickets

Answer:

5 tickets

Step-by-step explanation:

45 - 6.75 = 37.35

37.35 ÷ 4 = 9.3375

So, she still has enougg for one more ticket. 4 + 1 is 5. 5 tickets

find the zeros of each function. State the multiplicity of multiple zeros y=2x^3+x^2-x

Answers

Answer:

Step-by-step explanation:

To find the roots/zeros, set

2

x

3

+

x

2

x

equal to

0

and solve.

2

x

3

+

x

2

x

=

0

Factor the left side of the equation.

Tap for more steps...

x

(

2

x

1

)

(

x

+

1

)

=

0

If any individual factor on the left side of the equation is equal to

0

, the entire expression will be equal to

0

.

x

=

0

2

x

1

=

0

x

+

1

=

0

Set the first factor equal to

0

.

x

=

0

Set the next factor equal to

0

and solve.

Tap for more steps...

x

=

1

2

Set the next factor equal to

0

and solve.

Tap for more steps...

x

=

1

The final solution is all the values that make

x

(

2

x

1

)

(

x

+

1

)

=

0

true. The multiplicity of a root is the number of times the root appears.

x

=

0

(Multiplicity of

1

)

x

=

1

2

(Multiplicity of

1

)

x

=

1

(Multiplicity of

1

)

Answer:

  -1, 0, 1/2

Step-by-step explanation:

The function can be factored as ...

  y = x(2x^2 +x -1)

  y = x(2x -1)(x +1)

The factors are unique, so each zero has multiplicity 1. The zeros are the values of x that make the factors zero:

  -1, 0, 1/2 . . . . zeros of the function; each with multiplicity 1

-424 +122-72+2

Jason tried to find an expression equivalent to the rational expression

by using

202+1

polynomial long division. His work is shown below.

- 2x + 7x

2x + 1) - 4x4 + 12x3 - 7x + 2

-(-4x4 - 2x2)

14x - 7x + 2

- (14x3 + 7x)

-14x + 2


Jason concluded that -202 + 7+ +

-142+2

was equivalent to the rational expression. Jason's

2x+1

conclusion is incorrect.

O He made a mistake subtracting - 4x4 - 2x² from - 4x4 + 12x² - 7x + 2

He made a mistake by multiplying 2x² + 1 by 2x2

O He made a mistake subtracting 14x + 7x from 14x3 – 7x + 2

O He should have done one more step of long division to divide - 14x + 2 by 2x² + 1

+

Need help understanding this ?

Answers

Answer:

The expression "-424 +122-72+2" doesn't seem to have anything to do with the rest of the problem.  The sum of what was written is -372.  There are no unknowns (x's) in this expression, and yet the work shows x's in the analysis.

Step-by-step explanation:

What does "by using

202+1

polynomial long division."  mean??

do the numbers after the x's represent exponents?

e.g.:  "2x + 1) - 4x4 + 12x3 - 7x + 2" is really "2x + 1) - 4x4 + 12x^3 - 7x + 2"

I need help! please! Ill give brainiest

Answers

I  don't agree   with Cameron

The relation { (1,2), (1,3) }  has the domain {1} and range {2,3}.

The domain describes the list of x coordinates of the relation, while the range is the set of y coordinates. While we don't have a function, this is a relation.

Two identical squares of sides 17 cm overlap to form a rectangle as shown below. The shaded part is the overlapping region

Answers

Answer:

B 68 sq cm

Step-by-step explanation:

There's an overlap of 4

2*13 + 4

4 * 17 is 68

Katie don't delete my work!

Other Questions
True or false: In(x+y)- In(x+y)=0. Explain your thinking. Use the following table to answer the questions below. Give your probabilities as DECIMALS rounded to the hundredths place.Fair HairDark HairBlue Eyes85Other710Jamie investigated hair and eye color.One of the people is chosen. Calculate the probability of choosinga. Someone with Blue eyesb. Someone with fair hair and blue eyesA person with dark hair is chosen. Calculate the probability of1. them having blue eyes.2. them not having blue eyes metabolic diseases such as pku and alkaptonuria are caused by Question 9 (1 point)Which piece of legislation was NOT meant to pay off debts?a) Sugar Actb) Quartering Actc)Stamp Act A car accelerating from rest for 20s to reach velocity of 15 m/s and it keeps on. moving with this velocity for 50s an then it applied the breakStop in 30s what is the displacement? WILL GIVE BRAINLY best answer with steps LOOK AT THE PICTURE ATTACHED AND HELP QUICKLLYYYYY PLZZZ!!!! Daniel has 7 photo books. Each book has 5 pages with 1 photo on each page. He gets 2 more pages with 1 photo on each page.How many total photos does Daniel have? Enter the answer in the box Ali is x years old Alis aunt is four times as old as Ali will be in 5 years Find the present age of Alis aunt T is the midpoint of RS, T has coordinates (6, 4), and S has coordinates (3,-2). What are thecoordinates of R? Five factual "statistics" that impacted John Lockes life please help me if you know thank you :))) What did the Declaratory Act of 1766 state?a) That the colonist needed to move back to Englandb) That Declaring Independence was the only was for the colonist to earn their freedomc) That colonists would pay taxesd) That the colonies were under the control of English government F(x)=-2x+4 g(x)= -2x^3 -3find f(4) and g(-3)simplify as much as possible 11. She was sent to the after her parents died.A. hospitalB. schoolC. orphanage MAX POINTS!!!! Please help me solve the problem in the picture and tell me what Im doing also explain each step. which statement best explains why money was invented? Who was the person(s) that helped communicate with the "Pilgrims?" Did the United States expanded sphere, increase conflict or cooperation between European countries? Which definition best describes militarism?A) A policy of maintaining a large armyB) A policy of peaceful coexistenceC) A partnership formed between nationsD) A policy of isolation from foreign relations please please help!