a solid metal sphere of volume 1280cubic centimeters
is melted down and recast into 20 equal solid cubes.fund length of the side of each cube
a solid m or a solid m fear of volume ​

Answers

Answer 1
To find the length of the side of each cube, we first need to determine the total volume of the recast metal.

As we know the sphere has a volume of 1280 cubic centimeters, and it is being recast into 20 equal solid cubes.

The volume of each cube is the same, so we can divide the total volume of the sphere by the number of cubes to find the volume of each cube:

Volume of each cube = 1280 cm^3 / 20 = 64 cm^3

The volume of a cube is given by the formula: V = s^3, where s is the length of a side.

so, s^3 = 64 cm^3

solving for s, we get s = ∛64 = 4cm

So, the length of the side of each cube is 4 cm.

Related Questions

Please help me plssss
Explanation

Answers

Check the picture below.

Using the five digits 7, 7, 8, 8, and 8 once each, how many positive five-digit integers can be formed?

Answers

Answer:

There are 5 choices for the first digit, 5 choices for the second digit, 4 choices for the third digit, 3 choices for the fourth digit, and 2 choices for the fifth digit.

(6b+ 2) - (4b + 3)
Help pls I don’t know how to do this

Answers

Answer:

2b - 1

Step-by-step explanation:

To solve this problem, we will need to open the parentheses. To do this, we will put an imaginary 1 in front of both sets of parentheses to open them using the distributive property, this gives us:

1(6b + 2) - 1(4b + 3)

We will open the first set of parentheses with no problem, but in the second set, we have -1, so we need to make every positive number negative and every negative number positive, giving us:

6b + 2 - 4b - 3

Then, we group our like terms:

6b - 4b + 2 - 3

Then, we subtract, giving us:

2b - 1

So the most simplified version is 2b - 1.

Hope this helped!

Answer:

Step-by-step explanation:

You begin by distributing the negative so -4b -3

then you will multiply (6b+2) by (-4b -3)

24b^2 - 18b - 8b - 6

answer = 24b^2 - 26b - 6

Additive Relationships

What is the value of y when x=100y=?

Answers

The value of y in the equation is y = x / 100.

How to make a variable the subject of the formula?

Subject of the formula is a variable which is expressed in terms of other variables involved in the formula.

Therefore, let's make y the subject of the formula in the equation x = 100y.

Hence, we will find y in terms of x.

Therefore,

x = 100y

divide both sides of the equation by 100

100y  / 100 = x / 100

y = x / 100

Therefore,

y = x / 100

learn more on variable here: brainly.com/question/9144253

#SPJ1

knowing the difference between an experimental group and a control group is most relevant to understanding the nature of: group of answer choices random sampling. replication. hindsight bias. independent variables.

Answers

The experimental group is given the experimental treatment, and the comparison group is statistically significant.

Which three attitudes are the basis of the scientific viewpoint?Curiosity, scepticism, and humility are described by historians of science as the three attitudes that form the bedrock of the scientific viewpoint. Larger, more representative sample sizes aid in the production of accurate and valid data.When random sampling is used, every member of the population has an equal chance of being chosen, resulting in the collection of a representative sample. The odds of generalising the study's findings to the population increase with the use of a random sample. The study's margin of error is reduced with higher study sample sizes.) Researcher control over the possibility of reporting false-negative or false-positive findings is made possible by larger sample sizes. Results will be more precisely predicted with a larger sample size.

To learn more about random sampling refer to :

https://brainly.com/question/24466382

#SPJ4

Reggie made a scale drawing of a house. In real life, the garage is 3 meters wide. It is 6 millimeters wide in the drawing. What is the drawing's scale factor?

Answers

Answer:

1:50

Step-by-step explanation:

The drawing's scale factor is

1:50

Explanation:

In drawing, width of the garage is 6 cm and in actual width of the garage is 3m or 3×100=300 cm.

Hence, the drawing's scale factor is 6:300 and dividing by 6, it is 1:50

Help me pls I’m struggling and I can’t solve it

Answers

The perimeter of the rectangle is  4y + 6 (cm).

How can the perimeter equation be found?

All four side lengths must be added up in order to get the perimeter, or the distance around the rectangle. Since there are two of each side length, it is simple to multiply the total of the length and the breadth by two in order to do this task effectively. The formula for perimeter is perimeter=(length Plus width)2.

The diagram shows a rectangle. All measurements are in centimetres  an expression in terms of y, for the perimeter of the rectangle.

The perimeter of the rectangle is

2(y+3)+24

=2y + 6 + 2y = 4y + 6 (cm)

{ the perimeter:

2 *  width + 2 * Length}

The perimeter of the rectangle is  4y + 6 (cm).

To learn more about perimeter refer to:

https://brainly.com/question/16389741

#SPJ1

Does (1, 10) make the inequality y ≤ 5x + 4 true?
yes
no?

Answers

Answer:

No, it is not true

Step-by-step explanation:

y ≤ 5x + 4

We know a point is (1,10), we need to put the 1 in for x and the 10 in for y to see if the inequality is true or not!

10 ≤ 5(1) + 4

10 ≤ 5 + 4

10 ≤ 9

This is not True!

Answer: nope

Step-by-step explanation:

Translate and solve: -5 times b is no less than 35.

Note: Write your solution in interval notation,

Answers

The solution in interval notation b ∈ (-∞ , -7)

-5 times b is no less than 35.

5b  ≥ 35

n order to isolate the variable in this linear inequality, we need to get rid of the coefficient that multiplies it.

-[tex]\frac{5b}{5} = \frac{-35}{5}[/tex]

This can be accomplished if both sides are divided by .

Notice that the inequality sign has changed.

b ≤ -7

We need to reduce this fraction to the lowest terms.

This can be done by dividing out those factors that appear both in the numerator and in the denominator.

In our example, this is the common factor:5

b ∈ (-∞ , -7)

We have already found the solution to the inequality, but since we want to represent the solution in interval notation, we have changed it.

To know more about inequalities visit brainly.com/question/28823603

#SPJ4

dividing decimals up to 2 decimal places
1.0.2÷6.11

Answers

Answer:

its 6.11

6.11 ÷ 1 = 6.11

Calculated to 2 decimal places.

6. 1 1

1 6. 1 1

− 6

0 1

− 1

0 1

− 1

0

In altitude BH and angle bisector AL intersect at point M. Given m∠HML = 100° and m∠MLC = 110°. Find angles of △ABC

Answers

The angles of triangle ABC are 60 degrees when altitude BH and bisector AL intersect at point M.

What is equilateral triangle?

An equilateral triangle in geometry is a triangle with equal-length sides on all three sides.

Given that:

[tex]\angle HML = 100 \\\\\angle MLC = 110[/tex]

Since, BH is the altitude [tex]\angle MHC= 90[/tex].

The total angle of a quadrilateral is 360, hence:

100 + 110 + 90 + C = 360

C = 60 degrees.

Now consider triangle BHC:

The sum of angle of a triangle is 180, hence:

90 + 60 + B = 180

B = 30

Since the half angle B = 30, the entire [tex]\angle ABC = 60[/tex].

Consider triangle ABC:

Using sum of triangles, we have:

[tex]\angle A + \angle B + \angle C = 180\\\\\angle A + 60 + 60 = 180 \\\\\angle A = 60[/tex]

Hence the measure of angles of triangle ABC is 60 degrees.

Learn more about triangles here:

https://brainly.com/question/2773823

#SPJ4

The sum of the digits of a two-digit number is 12. The number formed by reversing the digits is 54 more than the original number. What is the original number?

48
39
57

Answers

Answer:

39

Step-by-step explanation:

Luke and Seth each need to buy the same amount of fencing for their gardens. While Seth's garden is square in shape, Luke's garden is rectangular with the length 3 feet longer than Seth's. Luke's width is half of the length of his own garden.

How much fencing did each buy? Need this asap please and thank you.

option

40. 5 feet


81 feet


72 feet


36 feet

Answers

Fencing that Luke and Seth did each buy is 72 feet

Using the information given, you can set up and solve the system of equations. Let x be the length of Seth's garden.

Seth's garden is square, so it has four times the perimeter.

The perimeter of Luke's garden is a rectangle of length x + 3 feet and width x/2 feet, so 2(x + 3) + 2(x/2).

We also know that Luke and Seth should buy the same amount of fences. So:

4x = 2(x + 3) + 2(x/2)

Solving this equation for x gives x = 6 feet.

So Seth's yardage is 6 feet and Luke's yardage is 9 feet.

So the fence required for Seth's garden is 46 = 24 feet

and the fence required for Luke's garden is 2(9) + 2(9/2) = 29 + 2*4.5 = 36 + 9 = 45 It's feet.

So the total fencing required is 24 + 45 = 72 feet.

Learn more about length and width here: https://brainly.com/question/24571594

#SPJ4

Ben wants to buy a binder and some penicals from the school store.binders coast 2.25 each of the pencials coast 0.75 each.how much will it coasg ben to buy 1 binder and P penicals

Answers

The total cost for Ben to buy 1 binder and P pencils is 2.25 + 0.75 P.

What is Multiplication?

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Cost of a binder = 2.25

Cost of a pencil = 0.75

We have to find the total cost for Ben to buy 1 binder and P pencils.

Cost of 1 binder = 2.25

Cost of P pencils = 0.75 × P = 0.75 P

Total cost of 1 binder and P pencils = 2.25 + 0.75 P

Hence the total cost for Ben to buy 1 binder and P pencils is 2.25 + 0.75 P.

To learn more about Multiplication, click on the link :

https://brainly.com/question/29558206

#SPJ1

Reflect shape A in the line y = -x. (See picture)

Answers

Answer:

See picture below

Step-by-step explanation:

C. It will
make 18 more parts.
5
Which number line shows the solution set to 1< -49 - 13/9 x <55/3?

Answers

The inequality is x 26 and asks for the values of x where the perimeter of the rectangle is smaller than 112.

The definition of inequality

In mathematics, a link between two terms or values that isn't comparable is referred to as an inequality. As a result, imbalance leads to inequality. A mathematical inequality is a relationship between two non-equal expression . Egality is distinct from inequality. The not common basic is frequently used to denote that two values aren't actually equal (). Various inequalities are used to contrast the values, no matter how small or large. Many simple inequalities can be resolved by switching the two aspects until the variables are the only thing remaining. But a number of things encourage inequality: Values that are negative are divided or added along either side.

Here,

given

A rectangle's perimeter is determined by its length, width, and height.

rectangle's perimeter is calculated as length + length + width + width.

(x +4) + (x+4) + x + x < 112

x + 4 + x + 4 + x + x < 112

4x + 8 < 112

4x < 104

x < 26

In order to find the x value that occur when the rectangle's boundary is less than 112, the inequality is x 26.

To know more about inequality visit :-

brainly.com/question/28823603

#SPJ1

..Solve multi step problems

Help me.....

Answers

Using multiplication as a mathematical operator, Kareem will 864 more cards and Nicole will get 24 more cards

What is Multiplication

Multiplication is a mathematical operation that involves multiplying two or more numbers together. It is one of the four basic operations in mathematics, along with addition, subtraction, and division.

In this problem, we may require the use of some mathematical operators to find the solution to the problem.

1.

He currently has 216 cards, but he needs 15 sets of cards.

1 set of card = 72 cards

Let's calculate the number of sets he currently has.

1 set of card = 72 cards

x set = 216 cards

cross multiply both sides and solve for x.

x * 72 = 216 * 1

x = 216 / 72

x = 3 sets

He currently has 3 sets of cards.

Since he wants 15 sets of cards, we will need 12 more set of cards.

The number of cards can be calculated by multiplying 12 by 72

Number of cards = 12 * 72 = 864

He needs 864 more cards.

2.

1 set of card = $27

1 set = 72 cards

But she's bringing $9 to join, we can calculate the ratio of cards she will get.

1 / 27 = x / 9

x = 9 / 27

x = 1/3

She will get 1/3 of the cards bought which will be

72 * 1/3 = 24 cards

She will get 24 cards

Learn more on multiplication here;

https://brainly.com/question/4721701

#SPJ1

What is the greatest common factor of 24,40,32 A.1 B.2 C.4 D.8

Answers

Answer:

D. 8

Step-by-step explanation:

8*3=24

8*5=40

8*4=32

it would be d-8 because 8 can be multiplied into all of them 8x3=24 8x5=40 8x4=32

Why infinity is open interval?

Answers

The number line is drawn to find the open end point interval is infinity.

Number Line of an Open endpoint to the endpoint of number line =?

Selection of Open endpoint to the endpoint of the number line is  fit for the following intervals as such determined below :

basically the intervals are mentioned as follow

( ), [ ], ( ], [ )  

An open interval is mentioned (a, b), is an interval that does not contain its endpoints. When an interval involves infinity or negative infinity, hence the following rules for whether it is an open or closed interval. (a, and

(-a , a) are open intervals.

For instance [a,∞) doesn't contain all of its endpoints as mentioned . It's a real number where The interval has only one endpoint - a, so it contains all of its endpoints (however it only has one).

Secondly, the definition forgot to add that (−∞,∞) is also open

Take numbers as follows:

Final Answer  as followed  in intervals

(-2, 2)

[-2, 2]

(-∞, 2]

[2, ∞)

To know more about  internal ,click here :

brainly.com/question/13708942

#SPJ4

Angle A and Angle B are complementary angles. The measure of Angle A is twice the measure of Angle B.
Write and equation to represent the complementary angle relationship between Angle A and Angle B. Use the equation to find
the measure of Angle A and B. Show all of your work.

Answers

Answer:

Acc.to question,

A+B=90° (since,they are complementary angles)

or,A+ A/2=90°(since,A is. twice the measure of B)

or,3A/2=90°

or,A=(90°×2)/3

:.A=60°

Also,

B=A/2=60/2=30°

Type the correct answer in each box. The coordinates of the point that corresponds to an angle of radians in the unit circle are (, ).

Answers

On solving the provided question, we can say that coordinates of the point in the unit circle  S = ( cos [tex]3\pi /2[/tex] , sin [tex]3\pi /2[/tex] ) => S= ( 0 , -1 )

What is circle?

Every point in the plane that is a certain distance away from a certain point forms a circle (center). It is, thus, a curve formed by points moving in the plane at a fixed distance from a point. At every angle, it is also rotationally symmetric about the center. A circle is a closed two-dimensional object where every pair of points in the plane are equally spaced out from the "center." A line that goes through the circle creates a specular symmetry line. At every angle, it is also rotationally symmetric about the center.

S = (0, -1 )

coordinates of the point in the unit circle

S = ( cos [tex]3\pi /2[/tex] , sin [tex]3\pi /2[/tex] )

S= ( 0 , -1 )

To know more about circle visit:

https://brainly.com/question/29142813

#SPJ4

HEEELLP me PLEASE!!!

Answers

Answer:

T=(I/p)/r

Step-by-step explanation:

I = Prt is the same thing as: I = P*r*t

We want the answer to be as:

T = ???

The only thing you need to do is the get T to one side.

1. [tex]I = P*r*t[/tex]

2. [tex]I/p=r*t[/tex]

3. [tex](I/p)/r=t[/tex]

4. [tex]t=(I/p)/r[/tex]

Triangles a and b are right angled. show that the two shorter sides in triangle a have the same length as the two shorter sides in triangle B
i got 2/4 of the marks pls help

Answers

Answer:

Step-by-step explanation:

Two right-angled triangles are said to be congruent to each other if the hypotenuse and one side of the right triangle are equal to the hypotenuse and the corresponding side of the other right-angled

Are 2 sides of an isosceles triangle?

Answers

Yes, the lengths of the two sides of an isosceles triangle are equal.

An isosceles triangle is a type of triangle that has two sides that are equal in length. The other side of the triangle can be either longer or shorter than the two equal sides. The two equal sides are called the legs, and the other side is called the base. The angles opposite the two equal sides are also equal in measure. Because of this, the two equal sides create an angle bisector that divides the base into two equal parts. This angle bisector forms two angles of equal measure as well. Thus, the two equal sides of an isosceles triangle are a defining feature of the shape.

Learn more about isosceles triangle here

https://brainly.com/question/2456591

#SPJ4

Find the surface area, volume, and radius and select all the correct measurements,

Answers

Answer:

surface area ---> i

volume ---> b

radius ---> d

Step-by-step explanation:

surface area= 4πr² =4x3.14x14²=2461.76cm²

volume= (4÷3)πr³= (4÷3)x3.14x14³=11488.21cm³

radius = half the diameter = 14cm

F(x)=\begin{cases}-2 & \text{ for }\hspace{10px} -6< x <-1\phantom{\frac{1}{1}} \\ -x-3 & \text{ for }\hspace{10px} -1< x <5\phantom{\frac{1}{1}}\end{cases} f(x)={ −2 −x−3 ​ for −6

Answers

f(7) = 14 is calculated. Each function is given a domain and a codomain, or scope.

what is function ?

The subject of mathematics includes quantities and their variations, equations and related structures, forms and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A relationship between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

given

We note that x=7 is on 1<x< 9 so we use the second piece. Replace x with 7 and

evaluate to find f(7):

f(7)=2(7)

f(7)=14

so f( 7 ) = 14

f(7) = 14 is calculated. Each function is given a domain and a codomain, or scope.

To know more about function visit :-

https://brainly.com/question/28193995

#SPJ1

a. Complete the table to show the length of the field for each given width.

Width (feet) Length (feet) 0 50 100 150 200 250 300

b. Define the function (w) to represent the length of the field as

Answers

The length of the field for the missing width is 350 ft. and the function (w) to represent the length of the field is w = (l-50)

What is a function?

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given that a table for showing the relation between length and width of a field;

                Width (w)                                     Length (l)

                       0                                                   50

                     100                                                 150

                     200                                                250

                     300                                                350

We see, that, width is 50 less than the length.

Therefore, the function (w) to represent the length of the field will be =

w = l-50

Hence, the length of the field for the missing width is 350 ft. and the function (w) to represent the length of the field is w = (l-50)

For more references on functions, click;

https://brainly.com/question/21145944

#SPJ1

Can you help me with this

Answers

The linear function that passes through (3,1) and has a slope of -1/2 is defined as follows:

y = -0.5x + 2.5.

The graph of the linear function is given by the image presented at the end of the answer.

How to define the linear function?

The linear function for this problem is defined in slope-intercept format, as follows:

y = mx + b.

In which the coefficients of the function are given as follows:

m is the slope, representing the rate of change of the output variable relative to the input variable.b is the y-intercept, representing the value assumed by the output variable y when the input variable x assumes a value of zero.

The slope of the function in this problem is given as follows:

m = -1/2 = -0.5

Hence:

y = -0.5x + b.

The line passing through point (3,1) means that when x = 3, y = 1, and thus the intercept b is obtained as follows:

1 = -0.5(3) + b

1 = -1.5 + b

b = 2.5.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Find the point(s) on the surface at which the tangent plane is horizontal.
z = xy + 1 x + 1 y

Answers

The point(s) on the surface at which the tangent plane is horizontal are (0, 0, 1).

To find the point(s) on the surface at which the tangent plane is horizontal, we need to find the points at which the partial derivatives of z with respect to x and y are both equal to 0. This means we need to solve the system of equations:

∂z/∂x = 0 ∂z/∂y = 0

Solving this system of equations yields x = 0, y = 0, and z = 1. Therefore, the point(s) on the surface at which the tangent plane is horizontal is (0, 0, 1).

To understand why solving the system of equations yields the points for which the tangent plane is horizontal, it is important to understand what the partial derivatives represent. The partial derivative of z with respect to x is the rate of change of z with respect to x, and similarly for y.

When the partial derivatives are both equal to 0, it means that the rate of change of z with respect to x and y is 0, which implies that the tangent plane is horizontal.

Learn more about tangent planes here:

https://brainly.com/question/17192497

#SPJ4

Find the values of x and y

Answers

The values of x and y, given the angles in the diagram, can be found to be :

x = 11y = 17

How to find the value of x and y ?

The angles given above are called vertical angles and they are such that the two corresponding angles are equal to each other.

This means that ( 8 x + 7 ) ° is equal to ( 9 x - 4 )° and 5 y° is equal to  ( 7y - 34 )°.

The value of x is :

8 x + 7 = 9 x - 4

9x - 8x = 7 + 4

x = 11

The value of y is :

5 y = 7y - 34

7y - 5y = 34

2 y = 34

y = 34 / 2

y = 17

Find out more on the value of x and y at https://brainly.com/question/30091286

#SPJ1

Other Questions
The table shows the amounts held as the various components of M1 and M2 Calculate the value of M1 and M2 The value of M1 is $ ___billion. The value of M2 is $ ____ billion. Mr. Black is a 44-year-old patient who presents to the clinic with complaints of neck pain that he thinks is from his job involving computer data entry. As the examiner, you are checking the range of motion in his neck and note the greatest degree of cervical mobility is at: What is the meaning of the Greek word ode? What was the effect of the downfall of the Ottoman Empire? HELP PLEASE QUICK!! Use the graph of the equation to answer the question.Part A: What is the domain of the equation?A. All real numbersB. x2C. x-4D. x2Part B: What is the range of the equation? A. y-4B. All real numbersC. y-4D.y2 What are four consecutive even integers if the first integer is 4? Responses A) -4,-3,-2,-1b) -4,-2,0,2c) -4,-6,-8,-10D)-4,-5,-6,-7 A submarine must descend at an average rate of at least 12 feet per minute for 5 minutes. The table shows how many feet the submarine descendsin the first 4 minutes. How many feet must the submarine descend in the fifth minute? What is the mood of the poem Song of a dream? 6. Which of the following is emphasized in the magic lantern slide representation of a keyscene from Text 1, "The Walrus and the Carpenter"?A. The Walrus and the Carpenter pause to feast on lunch.OB. The Walrus and the Carpenter enjoy each other's company.OC. The Walrus and the Carpenter try to get back home before night.D. The Walrus and the Carpenter walk together along the briny beach. Assume that the economy can experience four possible states: high growth, normal growth, recession, or depression. For each of those states, you expect the following stock market returns for the coming year: State of the Economy Probability Return High Growth 0. 2 40% Normal Growth 0. 6 14% Recession 0. 15 -1% Depression 0. 05 -3% In dollar terms, what is the value at risk (over a one-year horizon at a 5 percent probability) associated with a $1,000 investment The corporate IT manager wants you to implement a process that separates corporate apps from personal apps on mobile devices. Which of the following techniques will enable you to do this?A. SandboxingB. WhitelistingC. ContainerizationD. Blacklisting A farm brings 15 tons of watermelon to market. Find a 90% confidence interval for the population mean cash value of this crop. What is the margin of error 8 out of 32 students in the class do not have a pet at home. what percentage of students have pets? what percentage of chromosomes normally found in the body cells of an organism do gamete cells contain after meiosis? When is using your headlights required by Virginia law? In 550 CE, a group of barbarian invaders from eastern Europe named the _______ began to raid the Balkan territory of the Byzantine Empire. To turn back these raids, the Byzantines arranged for another barbarian group, the _____, to attack the ______. However, the plan backfired. HI, i need some help!I need some causes and effects of anti-immigrant prejudices in the 1920s. A simple list would be great! What are the 3 purposes of the church? Determine whether the equation below has a one solutions, no solutions, or aninfinite number of solutions. Afterwards, determine two values of x that support yourconclusion.X6-XThe equation has Select an option0attempt 1 out of 2 5 multiply by c 24-47-48 divide 24