How many blocks with dimensions of 3 x1x1 can fit in a unit cube?
1
1

Answers

Answer 1
In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices. The cube is also a square parallelepiped, an equilateral cuboid and a right rhombohedron. It is a regular square prism in three orientations, and a trigonal trapezohedron in four orientations. The cube is dual to the octahedron. It has cubical or octahedral symmetry. The cube is the only convex polyhedron whose faces are all squares.

Related Questions

what’s the answer for this question

Answers

Answer:

What is the perimeter? 89 cm

Step-by-step explanation:

(35.2 + 11.9) + (35.2 + 12.7)

= 47.1 + 47.9

= 89 cm

a trapezoid has bases that measure 9cm and 5 cm. the height of the figure is 4cm. what is the area of the trapezoid

Answers

Answer:

28cm^2

Step-by-step explanation:

The area of a trapezoid is the bases added divided by two times the height.

(9+5)/2*4=7*4=28

28cm^2

PLEASE HELP I"M BEING TIMED!!!!!!!!!!!!!!!!!!!!!!!!!!!!!




Which expression is equivalent to log Subscript 12 Baseline StartFraction x Superscript 4 Baseline StartRoot x cubed minus 2 EndRoot Over (x + 1) Superscript 5 Baseline EndFraction?

4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x times 1)

4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline StartFraction x cubed Over 2 EndFraction minus 5 log Subscript 12 Baseline 1

log Subscript 12 Baseline 4 x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x) + 1

4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x + 1)

Answers

Answer:

[tex]D)4log_{12}x+\frac{1}{2} log_{12}(x^3-2)-5log_{12}(x+1)[/tex]

(4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x + 1)

Step-by-step explanation:

Given the expression:

[tex]log_{12}\dfrac{x^4\sqrt{x^3-2} }{(x+1)^5}[/tex]

first apply the division law of logarithm:

[tex]log_{a}x/y=log_{a}x-log_{a}y[/tex]

[tex]log_{12}\dfrac{x^4\sqrt{x^3-2} }{(x+1)^5}=log_{12}x^4\sqrt{x^3-2}-log_{12}(x+1)^5[/tex]

Next, by addition law:[tex]log_{a}xy=log_{a}x+log_{a}y[/tex]

[tex]=log_{12}x^4+log_{12}\sqrt{x^3-2}-log_{12}(x+1)^5\\\\Log a^m=mLog a, Log \sqrt{x}=log x^{1/2}\\\\ =4log_{12}x+log_{12}(x^3-2)^{1/2}-5log_{12}(x+1)\\\\=4log_{12}x+\frac{1}{2} log_{12}(x^3-2)-5log_{12}(x+1)[/tex]

Answer:

Its D on edge

Step-by-step explanation:

Derive x and y values from given equations solve for x and y. 6x-2y=8 -6x+5y=7

Answers

Answer:

6x -2y = 8

-6x+5y = 7

3y = 15

y = 5

6x - 2(5) = 8

6x - 10 = 8

6x = 18

x = 3

(3, 5)

Step-by-step explanation:

What are the three cues to remember for dribbling with mature form in basketball?

Answers

Answer:

Thee three cues are

1. Control the ball with he finger-pads

2. Always dribble at waist level

3. One's eyes should be up to see the team members and defenders while dribbling

Step-by-step explanation:

To dribble a basketball requires, keeping one's head up to see the on going game around. Endeavor to shield defenders from the ball with the aid of the non dribbling arm and body

When bouncing the ball, keep it low, and extend the arms and snap the wrists, while controlling the ball with your fingers rather than the palm

The three cues are

1. Handle the ball with the finger pads, not with the  palm of the hands nor with the fingertips

2. Dribbling should be done only at the waist level  

3. When dribbling a ball, one should keep his eyes up to see the game ongoing.

what is the slope of the line below? If necessary, enter your answer as a fraction in lowest terms, using the slash as the fraction bar. Do not enter your answer as a decimal number or an equation. (3, 9) (1, 1)​

Answers

Answer:

The slope of the graph is equal to 4

Step-by-step explanation:

When you do y2-y1 divided by x2-x1 you get the fraction 8/2 however when simplified you get 4, 8/2=4

Answer:

The slope is 4

Step-by-step explanation:

Why? Because the point (3,9) is labeled as x1 and y1 and the point (1,1) is labeled as x2 and y2, which means that the equation is set up as 1-9 / 1-3, which equals -8 / -2 , which turns out to be 4 when it is simplified. :)

What is another way to represent 3%?

Answers

Answer: 0.03

Step-by-step explanation:

3% in decimal form is 0.03

Answer:

The decimal form, which would be 0.03

People would say the decimal will be 0.3, but that is 30%, so the decimal would be 0.03.

63x−8≤23 OR −4x+26≥6

Answers

Answer:

63x-8<23

63x<23+8

63x < 31

63. 63

x < 0.492

Multiply the polynomials: (2x^3−4x)(3x^2+2)

6x^5−16x^3+8x

x^5+18x^3−6x

5x^6+11x^3+8x

6x^5−8x^3−8x

Answers

the correct answer would be 6x^5-8x^3-8x

how many grams each of a 10% salt solution and a 5% salt solution must be mixed in order to obtain 400g of an 8% solution?

Answers

I dont want to give you the exact equation so u wont be copying- here is an example.

let x=grams of salt that you already have

let y=grams of salt that need to be added

let z=total amount of salt in the solution after adding salt

We know that salt makes up 25% of the 400g solution, and that 25% can also be written as .25. Thus, we can write an equation to determine x's value:

x=.25*400g

x=100g

Therefore, there are 100 grams of salt already in the solution.

Now that we've determined x's value, we'll bring z into the equation. There are two ways to calculate z. z is equivalent to the sum of x and y. Remember, x is equal to 100 grams. So, z's equation is as follows:

z=100g+y

The other way to calculate z is as a percentage of the final solution. As the question states, we want the final solution to have a salt content of 40% (which we can write as .40). The final amount of solution can be written as below:

400g+y=total amount of solution after adding salt.

This is because we are adding y (the amount of salt needed to bring the salt content to 40 percent)to the amount of solution which we already have.

Therefore, the second way to express z is below:

z=.40*(400g+y)

After we have two equations for z, we can set them equal to each other as follows:

100g+y=.40*(400g+y)

We then can distribute the .40 over the parenthesis.

100g+y=160g+.40y

And then we can subtract 100 grams from both sides of the equation.

y=60g+.40y

Next, we subtract .40 y from both sides of the equation to get y on one side.

.6y=60g

Finally, we can divide both sides by .6 to isolate y.

y=100g

Therefore, you must add 100g of salt to the solution to make it 40 percent salt.

DID I DO IT RIGHTT?? pls tell me

Hi there! I need some help with this question, thx!


In the table, Pattern A uses the rule "add 5" and Pattern B uses the rule "add 15."

Pattern A is 0, 5, 10, 15, 20
Pattern B is 0, 15, 30, 45, 60

Which statement is true?


A. Every term in Pattern B is 3 times the corresponding term in Pattern A.

B. Every term in Pattern B is 10 more than the corresponding term in Pattern A.

C. Every term in Pattern B is 5 times the corresponding term in Pattern A.

D. Every term in Pattern B is 13 the corresponding term in Pattern A.

Answers

Answer:

sky im going with A

Step-by-step explanation:

A I took the test it is correct

Which can be used to describe an equivalent expression for (s Superscript 6 Baseline) Superscript negative 3? Adding the exponents will create an equivalent expression. Dividing the exponents will create an equivalent expression. There are three factors of StartFraction 1 Over s Superscript 6 Baseline EndFraction. There are three factors of StartFraction 1 Over s Superscript 3 Baseline EndFraction.

Answers

Answer:

D

Step-by-step explanation:

i took the test

The equivalent expressions of [tex](x^{6} )^{-3}[/tex] will be [tex](x )^{-18}[/tex].

What are equivalent expressions?

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

To derive the equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

The given expression is;

[tex](x^{6} )^{-3}[/tex]

Required to Determine the equivalent expression.

First, we need to evaluate the expression in the bracket:

Apply the following law of indices:

[tex](x^a)^b = x ^{ab}[/tex]

So:

[tex](x^{6} )^{-3}[/tex]

becomes

[tex](x )^{6 \times -3}\\\\[/tex]

[tex](x )^{-18}[/tex]

Hence: the equivalent expressions of [tex](x^{6} )^{-3}[/tex] will be [tex](x )^{-18}[/tex].

Learn more about expression here;

https://brainly.com/question/14083225

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2x-y<5
[tex]2x - y \leqslant 5[/tex]

Answers

Answer:

Step-by-step explanation:

Please be sure to include the directions when you post a question.  I will assume you want to graph this inequality 2x - y ≤ 5.  

2x - y = 5 is a linear function whose graph is that of a straight line.  Because of the ≤ sign, the solution set includes all points on this straight line PLUS all  points below it.

x - intercept:  Set y = 0 in 2x - y = 5 and solve the resulting equation for x:

2x - 0 = 5.  Then x = 5/2, and the x-intercept is (5/2, 0).

y-intercept:  Set x = 0 and solve for y:  2(0) - y = 5:  y = -5.  Then the y-intercept is (0, -5).  

Plot both points (5/2, 0) and (0, -5).  Draw a solid line through them.  Shade the area BELOW this line.

Which is the solution to
2x − y = 1
4x + y = 11 ?
A) (−2, 3)
B) (2, 3)
C) (3, 2)
D) (3, −2)

Answers

Answer:

B

Step-by-step explanation:

2 x 2 = 4 - 3 = 1

4 x 2 = 8 + 3 = 11

Find the area of DUO

Answers

Answer:

What do you mean DUO?

Step-by-step explanation:

16x^4y^2(9x^3y^4) fully simply

Answers

Answer:

[tex]=144x^7y^6[/tex]

Step-by-step explanation:

[tex]16x^4y^2\left(9x^3y^4\right)\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\x^4x^3=\:x^{4+3}\\=16y^2\cdot \:9x^{4+3}y^4\\\mathrm{Add\:the\:numbers:}\:4+3=7\\=16y^2\cdot \:9x^7y^4\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\y^2y^4=\:y^{2+4}\\=16\cdot \:9x^7y^{2+4}\\\mathrm{Add\:the\:numbers:}\:2+4=6\\=16\cdot \:9x^7y^6\\\mathrm{Multiply\:the\:numbers:}\:16\cdot \:9=144\\=144x^7y^6[/tex]

Answer:

Step-by-step explanation:

2 x(4−3xy^2)/y

The two-way table of column relative frequencies below shows data on whether or not a person has internet access and their preferred method to communicate with friends.

Based on the data, which of the following statements must be true?

(Choice A)
A person who prefers to communicate with friends in person is more likely to have no internet access than to have internet access.

(Choice B)
A person with internet access is more likely than a person without internet access to prefer the wired telephone to communicate with their friends.

(Choice C)
A person with internet access is more likely than a person without internet access to prefer text messaging to communicate with their friends.

(Choice D)
More people without internet access prefer using social networking than people with internet access.

Answers

Answer: c

Step-by-step explanation: 54% of people with internet access prefer text messaging, while only 31% of people without internet access prefer text messaging.

Based on the data, Option (c) statements must be true. "A person with internet access is more likely than a person without internet access to prefer text messaging to communicate with their friends."

What is internet speed?

It is Mbps or kbps of data packets that can be transferred within a specified time.

Because 54% of the people who have internet access uses the text messaging method While 31 % people with no internet access uses the text messaging method.Thus A person with internet access is more likely than a person without internet access to prefer text messaging to communicate with their friends.

Learn more about internet speed,

https://brainly.com/question/13308791

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A car used 1/64 of a gallon of gas to drive 1/4 of a mile. At this rate, how many miles can a car travel using 1 gallon of gas?

Answers

Answer:

16 miles

Step-by-step explanation:

In order to find one gallon of gas, you multiply the 64 by 1/64 which will get you to 1 whole. Now you multiply the 64 by the 1/4 miles which will give you 16 miles.

Eduardo is filling containers with water to make lemonade. He filled 4 containers in 29 minutes, and each container holds 8.7 gallons. At what rate did Eduardo fill the containers?

Answers

Answer: 7.25 minutes per container.

Step-by-step explanation:

Your looking for a ratio of time per container. 29/4 is the given ratio it was simplified to 7.25/1. Or simply 29 divided my 4.

At the end of a snow storm, Caroline saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. The depth of snow on Caroline's lawn, in inches, can be modeled by the function S(t)=-0.75t+15,S(t)=−0.75t+15, where tt is the time, in hours, after the snow stopped falling. What is the slope of the function and what is its interpretation in the context of the problem?

Answers

Answer:

-15

Step-by-step explanation:

Need question help here!

Answers

Answer:

C

Step-by-step explanation:

Sammy has 2 pair of jeans, 3 pair of black pants, and 1 skirt. She also has 2 pink shirts, 4 striped shirts, and 2 hooded sweatshirts. How many different outfits can Sammy make?

Answers

Answer: 72

Step-by-step explanation:

Ok, in her legs the options are:

2 jeans + 3 black pants + 1 skirt = 6 options.

on her torso the options are:

2 pinks shirts + 4 striped shirts = 6 options.

And on top of that she has:

2 hooded sweatshirts = 2 options.

The total number of combinations is equal to the product of options for each type of garmet; this is:

C = 6*6*2 =36*2 = 72

So she has 72 different outfits.

Answer:

It is 70 becouse of how many clothing ther is and u just mulytly

it tell me if im right or wrong

thanks stay safe

byebye

Step-by-step explanation:

Help me with my assignment if u are brilliant

Answers

Answer:

0° and 90°

Step-by-step explanation:

Bearing is simply the angle, clockwise, between the north direction and any other direction;

In the first image (on the left) B is exactly in the north direction as compared to A so the bearing is 0°;

In the other image, B is to the right of A, which is a clockwise rotation of 90° from the north direction.

I need help plz help me

Answers

Answer: 2538

Step-by-step explanation:

12*21/2

126

126/1*41/2

2538

Answer:

l*b*h=2583m²

Step-by-step explanation:

note no need units, so no need metre square or m²

Squaring both sides of an equation is irreversible. Is Cubing both sides of an equation reversible? Provide numerical examples to help support your answer.

Answers

Answer:

Cubing both sides of an equation is reversible.

Step-by-step explanation:

Squaring both sides of an equation is irreversible, because the square power of negative number gives a positive result, but you can't have a negative base with a positive number, given that the square root of a negative number doesn't exist for real numbers.

In case of cubic powers, this action is reversible, because the cubic root of a negative number is also a negative number. For example

[tex]\sqrt[3]{x} =-1[/tex]

We cube both sides

[tex](\sqrt[3]{x} )^{3} =(-1)^{3} \\x=-1[/tex]

If we want to reverse the equation to the beginning, we can do it, using a cubic root on each side

[tex]\sqrt[3]{x}=\sqrt[3]{-1} \\\sqrt[3]{x}=-1[/tex]

There you have it, cubing both sides of an equation is reversible.

Cal's go cart has a gas tank with the dimensions shown below. He uses a gas can that holds 111 gallon of gas, to fill the go cart tank. 111 gallon = 231 inches^3

Answers

the answer is 2 cans

Awnser

8 gallons of cans

Question 3- Please help. Find the area of the sector for the image below:

Answers

Answer:

The answer is 16.8 cm^ 2.

A bicycle shop is selling $500.00 bikes. If the sales tax is 7%, what will the final cost of the bike be?

Answers

Answer:

The final cost of bike = $535.00

Step-by-step explanation:

Cost of bikes =  $500.00

If the sales tax is 7%, the amount paid as tax will be 7% of the total selling price of bike;

7% of $500.00

= [tex]\frac{7}{100} * 500\\[/tex]

= $35

The final cost of bike = initial selling price + amount paid as tax

The final cost of bike  = $500.00 + $35.00

The final cost of bike = $535.00

6) Troy has a garden that is 17 feet by 14 feet. He is planning on planting some
bulbs in the garden. Each bulb requires 2 square feet of space. How many bulbs
can Troy plant in the garden? *
119

Answers

Answer:

140

Step-by-step explanation:

first multiply 17 by 14 to get 238 then dived 238 by 2 to get 140

Jason runs 440 yards in 75 seconds.at this rate,how many minutes does it take him to run a mile​

Answers

Answer:

5 minutes

Step-by-step explanation:

Do a proportion

440/75= 1760/x

cross multiply

440x=1760(75)

simplify

132000/440

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