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

PLS HELP I WILL GIVE BRAINLYEST
Use the number line to find the distance between -10 and -4.

Enter your answer in the box.
units

Answers

Answer:

6

Step-by-step explanation:

8. What is the slope of the line that goes through (8,8) and (4, 6)?
-1/2
1/2
-2
2

Answers

Answer:

Step-by-step explanation:

Slope is the change in y over the change in x.

m = (8 - 6) / (8 - 4) = 2/4 = 1/2

Answer:

1/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-8)/(4-8)

m=-2/-4

m=1/2

2. What are all possible names for line b?

Answers

Answer:

di ako sure pero ito :)

Step-by-step explanation:

A line segment has two endpoints. It contains these endpoints and all the points of the line between them. You can measure the length of a segment, but not of a line.

A segment is named by its two endpoints, for example, AB¯¯¯¯¯ .

Santa needs 600 toys. 175 toys have already
been made. 5 elves made the rest of the toys.
How many toys did each elf make, assuming
that they each made they amount?

Answers

Answer:

Each elf made 85 toys

Step-by-step explanation:

First we must find out how many more toys need to be made. To do this we just have to subtract 175 from 600. 600 - 175 = 425.

Next we have to divide 425 toys by the 5 elves. 425 divided by 5 is 85.

What Is The exact volume of the cone with a height of 4 and a radius of 7

Answers

Answer:

196 / 3 [tex]\pi[/tex]

Step-by-step explanation:

pi x radius x radius x height / 3

= pi x 49 x 4 / 3

= pi x 196 / 3

Helppp pleaseeee !!!

Answers

Answer:

Solution is (x+7)(x+8)

Step-by-step explanation:

1) Find what 2 numbers multiply to 56 (c value) and add to 15 (b value)

2) (x+7)(x+8)

I personally was taught this method and am unfamiliar with with the method shown on the worksheet. If my way is unclear, please feel free to ask any more questions you have.

A car moving at a constant speed passed a timing device at t = 0. After 8 seconds, the car has
traveled 648 ft. Write a linear function rule to model the distance in feet d the car has traveled any
number of seconds t after passing the timing device.
The linear function rule is d =

Answers

Answer:answer d

Step-by-step explanation:

i just did the test

what is this answer?​

Answers

Answer:

The answer is 16.

Sorry if it's incorrect.

Step-by-step explanation:

The correct answer is 16.
Explanation:
24 = 2 × 2 × 2 × 2 = 16.

What is the completely factored form of f(x)=x^3+5x^2+4x-6

Answers

Answer:

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

Step-by-step explanation:

rewrote the expression

then factor out common numbers, variables, and exponents

Solve the inequality

4x - 19 ≥ -27

Answers

Answer:

x  ≥ -2

Step-by-step explanation:

Hope this helps!

✺༒Question༒✺

Refer to attachment

Nonsence answer will get report​

Answers

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

(i) 64(ii) 729(iii) 121(iv) 625

Hope it helps!

Brainliest pls!

Follow me! :)

Answer:

REFER TO ATTACHMENT

I HOPE IT IS HELPFUL

There are 5 counselors for every 75 students enrolled in a camp. What is
the maximum number of students allowed if there are 12 counselors?

Answers

75/5 = 15

15= 1 counsellor for 15 students
so

15 x 12 = 180 students


You know the following information about triangle ABC and triangle DEF:
AB-DE and What additional information is needed to prove that the triangles are congruent by SAS?
AB=DE
AC=DF
BC=EF

Answers

Answer:

  (b)  AC = DF

Step-by-step explanation:

In order to use SAS, you need to show congruence of the sides on either side of the angle. One of those sides is given as congruent: AB = DE. (This given rules out choice A, which is identical.)

The remaining needed side will have points A and D as one of the points defining the side. This rules out choice D.

The relation between other angles is irrelevant to SAS, so choice C is ruled out.

Choice B: AC = DF will supply the information necessary to show congruence by SAS.

Find the slope of the line passing through the points (-6, 1) and (-7,5).

Answers

Answer:

y = -4x – 23

Hope this helps :)

Slope= y2-y1/x2-x1

= 5-1/-7-(-6)

= 4/-1

= -4

Saturn is about 1.427 x 10^12 miles from the sun. Light travels at approximately 3 x 10^8 miles/second. How long does it take for suns light to reach Saturn

Answers

Answer:

4,756.66 seconds or 1.321 hours

Here's how I got that:

- Simply use time formula and plug in what you know -

                         t = distance/speed

                                         ↓

              1,427,000,000,000/300000000

                                         ↓

                                t = 4,756.66

~That's all folks~

-Siascon

Erica has $12 credit on her Cel-Tel phone card. It costs her $1 to make a phone call using her Cel-Tel card. Erica also has $15 credit on her MTT phone card. It costs her $2 to make a phone call using her MTT card. Which system of equations can be solved to find the number of calls, x, that Erica can make and have the same amount of money, y, on both phone cards?


yy==−2x+15−x+12
y = - 2 x + 15 y = - x + 12

yy==2x+15−x+15
y = 2 x + 15 y = - x + 15

yy==−2x−15−x−12
y = - 2 x - 15 y = - x - 12

yy==15x−212x−1
y = 15 x - 2 y = 12 x - 1

Answers

Answer: b

Step-by-step explanation:

Which of the following questions can use science as a method of inquiry?

A. How many of hours of homework should be assigned each night?
B. At what age should a person be able to drive?
C. Why does a cork float in water?
D. Should pitbulls be allowed to live in cities?

Answers

Answer:

c

Step-by-step explanation:

which expression is equivalent to (-3) x + (-3) (-12)

Answers

Answer:

-3x - 15

or

-3(x + 5)

Step-by-step explanation:

-3x - 3 - 12

-3x - 15

-3(x + 5)

sorry if this doesn't help but i hope it does

Answer:

-3(x + 5)

Step-by-step explanation:

move the numbers to the blanks to order them from least to greatest value.

0.1 -9/8 4 |-5/6| -0.78

Answers

Answer:

-9/8, -5/6 -0.78, 0.1, 4

Step-by-step explanation:

since they're negative, it makes them look bigger than others but they're not. I think I got it right. hope I could help!

The first step for deriving the quadratic formula from the quadratic equation, 0 = ax^2 + bx + c, is shown.

Step 1: –c = ax^2 + bx

Which best explains or justifies Step 1?

subtraction property of equality
completing the square
factoring out the constant
zero property of multiplication

Answers

Answer:

Subtraction property of equality

Step-by-step explanation:

You subtracted c from both sides of the equation to preserve equality

The step 1 is explained by subtraction property of equality.

The correct option is A.

The standard form of Quadratic Equation is

ax² + bx + c = 0

Also, we must remove c from the right side and move it to the left side in order to derive the quadratic formula from the quadratic equation.

And to do that, we must subtract c from both sides, which is

-c = ax² + bx

Then, we have used subtraction property here.

Learn more about Subtraction here:

https://brainly.com/question/10716627

#SPJ7

Meredith is 3 times as old as Adam. Six years from now, she will be twice as old as Adam will be then. How old is Adam now

Answers

Answer:

A=6

Step-by-step explanation:

M=3A

M+6=2(A+6)     M+6=2A+12      M=2A+6

System of equations:

M=3A            Subtract

M=2A+6

0=A-6

A=6

Hire Refrigeration company floated Rs. 3 Billion bond on July 1, 2016. Each bond having face value of Rs. 1,000. Maturity of bond is 5 years, while interest coupon rate is 12%. What will be the value of bond if market interest rate is 8% and 15% respectively. Also what will be the new value of bond after 2 years if the market interest rate remains constant.

Answers

1. The value of the bond with a market interest rate of 8% is $1,159.71.

2. The value of the bond with a market interest rate of 15% is $899.44.

3. The new value of the bond after 2 years with market interest rate of 8% is  $1,103.08.

4. The new value of the bond after 2 years with market interest rate of 15% is $931.50.

Data and Calculations:

N (# of periods) = 5 years

I/Y (Interest per year) = (A) 8% or  (B) 15%

PMT (Periodic Payment) = $120

FV (Future Value) = $1,000

Results

PV = $1,159.71   and $899.44 for (B)

Schedule at 8% interest rate

Period       PV              PMT             Interest       FV

1            $1,159.71       $120.00       $92.78       $1,132.49

2           $1,132.49       $120.00       $90.60     $1,103.08

3           $1,103.08       $120.00       $88.25      $1,071.33

4           $1,071.33       $120.00        $85.71      $1,037.04

5         $1,037.04       $120.00        $82.96     $1,000.00

Schedule at 15% interest rate

Period       PV              PMT             Interest       FV

1           $899.44    $120.00           $134.92      $914.35

2           $914.35      $120.00           $137.15      $931.50

3          $931.50      $120.00           $139.73      $951.23

4          $951.23      $120.00           $142.68      $973.91

5          $973.91      $120.00           $146.09   $1,000.00

Learn more about the value of bonds based on effective interest rate here: https://brainly.com/question/25524725 and https://brainly.com/question/23265123

what is the scale factor of 3x + 2, 3y -1?

(will give brainliest)

Answers

21 Line is mapped onto line m by a dilation centered at the origin with a scale factor of 2. The equation of line is 3x − y = 4. Determine and state an.

There are 10 pens in a box. There are x red pens in the box. All the other pens are blue. Jack takes at random two pens from the box. Find an expression, in terms of x, for the probability that Jack takes one pen of each colour. Give your answer in its simplest form.​

Answers

The probability that one of each color is selected is [tex]\frac{10x - x^2}{45}[/tex]

Probabilities

The probability of an event is the chances of the said event

The given parameters are:

Total  = 10Red = xBlue = 10 - x

Calculating the required probability

The probability that one of each color is selected is calculated as follows:

[tex]P = P(Blue) \times P(Red) + P(Red) \times P(Blue)[/tex]

So, we have:

[tex]P = \frac{10 - x}{10} \times \frac{x}{9} + \frac{x}{10} \times \frac{10 - x}{9}[/tex]

This gives

[tex]P = \frac{x(10 - x)}{90} +\frac{x(10 - x)}{90}[/tex]

Take LCM

[tex]P = \frac{2x(10 - x)}{90}[/tex]

Simplify the above expression

[tex]P = \frac{x(10 - x)}{45}[/tex]

Expand

[tex]P = \frac{10x - x^2}{45}[/tex]

Hence, the probability that one of each color is selected is [tex]P = \frac{10x - x^2}{45}[/tex]

Read more about probabilities at:

https://brainly.com/question/7965468

I need help with my math homework from The Hung Vuong Learning Centre Incorporated, like immediately please!!! Here is an image for you to answer the questions will receive the Brainliest award if you answer the questions completely! Well anyways, good luck on answering the questions and I will check the answers are appropriate! :)

Answers

Answer:

Give me some hint please

Answer:

2. d) L = 10, W = 20

3. c) P = 100

Step-by-step explanation:

2. 2L + W = 40

W = 40 - 2L

A = L x W

= L (40 - 2L)

= 2L^2 + 40L

=-2 (L^2 - 20L)

= -2 (L^2 - 20^2 + 100 - 100)

= -2 (L^2 - 20L + 100) +200

= -2 (L - 10)^2 +200

L = 10

W = 40 - 2(10

=20

3. c. P = 2(L + W)

= 2(49 + 1)

= 100

a. P = 53

b. P = 32.5

d. P = 28

What is the equation of this line in slope-intercept form?
(-1,5) (1,-1)

Answers

Answer:

y=-3x+2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-5)/(1-(-1))

m=-6/(1+1)

m=-6/2

m=-3

y-y1=m(x-x1)

y-5=-3(x-(-1))

y-5=-3(x+1)

y=-3(x+1)+5

y=-3x-3+5

y=-3x+2

plz I just wanna if my answers are true​

Answers

Answer:

3^2

3^4

3^6

Step-by-step explanation:

9 is actually 3^2, so you have the first one wrong.

The second one is correct, but the third one is not

Since 9 is 3^2, you can write that as (3^2)^3, which is 3^6.

Find the value of the expression 8a +b, if a=3 and b= 1

a) 23 b) 29 c) 30 d) 25

Answers

8a + b

a=3

b=1

(8×3)+1

=24+1

=25

the answer is d)25

Amelie read 12 pages of her book each day for 4 days. Matthew read 12 pages of the same book each day for 8 days.

Answers

Answer:

if u are asking how many more pages Matthew read then it's 48 pages. If u are asking how many they read all together then it's 144 pages.

A 6am one morning the temperature was -14 degrees by noon it rose 8 degrees and then rose another 2 degrees by 3pm. By 6pm the temperature had dropped 5 degrees. What was the temperature at 6pm

Answers

Answer:

-9 degrees

Step-by-step explanation:

-14 + 8 = -6

-6 + 2 = -4

-4 - 5 = -9

The temperature at 6pm dropped down to .

What is a mathematical function, equation and expression?               function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is that at 6am one morning the temperature was -14 degrees by noon it rose 8 degrees and then rose another 2 degrees by 3pm. By 6pm the temperature had dropped 5 degrees

We can write -

T{6 AM} = - 14°

T{12 PM} = 8°

T{3 PM} = (8 + 2)° = 10°

T{6 PM} = 10° - 5° =

Therefore, the temperature at 6pm dropped down to .

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ5

Other Questions
In no less than seventy-five words, explain how Penelope was able to use her wits to avoid the suitorswithout going against ancient Grecian customs. According to the behaviorist theories of language acquisition, language is __________. A. Learned through imitation and reinforcement B. An innate ability in humans C. A behavioral trait of all humans and animals D. Both a mixture of nature and nurture Please select the best answer from the choices provided A B C D. Which step is the first one in the social security process brainly. according to erik erikson, the realization in late adulthood that ones own life is part of an extended chain of human existence ________. How did Adolf Hitler take over the nation ofAustria?A. Hitler used his blitzkrieg methods.B. Hitler signed an agreement with Austria's leader.C. Hitler began the events of the Holocaust in Austria.D. Hitler bought Austria from Italy. Plzz send format which is coming for creative writing in english class 10 The diagram shows a triangle.What is the value of b?371439030 Which of the following is an example of the phenotype?Question 7 options:The cow is brownThe wheat is planted in the springThe community raises rice and milletThe sheep graze freely in the hills the cost of a popsicle at the snack stand is $0.75 let p represent the number of popsicles and c represent total cost use an equation to represent the relationship between the numbers of popsicles bought and the total cost The store Skate4you buys skateboards from a manufacturer at a wholesale price of $57. The store's markupis 150%. Calculate the amount of markup. What is the retail (selling) price for a skateboard from Skate4you? Why is it important to the theme of the strength of mothers that the last scene takes place in the kitchen? Need help asap please !!! In the process and structure of public policymaking, "iron triangles" refer to the: What is the sum of the first 32 terms in the arithmeticseries 3 + 10 + 17 + ? using guassion elimination metheed x+2y-3y=11,3x+2y+z=1, 2x+y-5z=11 6. A man with a mass of 75 kg standing on a skateboard is holding a medicine ball that hasa mass of 20 kg. If the man throws the ball to the left with a speed of 10 m/s,a) What happens to the man on the skateboard?b) What is the man's speed after throwing the ball? Faire le calcul de (5x7)+(12/4)-8= Gaseous chlorine dioxide (ClO2) is used in bleaching flour and municipal water treatment in500.0L containers. If these processes are performed at room temperature (22.0C) using 52.1moles of gas, what is the pressure? Must show calculation setup. Lacking in movement, action, or change, especially in a way viewed as undesirable or uninterestingQuestion 11 options:MaliciousAlgorithmStaticWeb Browser Plz help fast I will mark Brainlyist