A container shape as a rectangular prism can hold 840 wooden cube blocks with edge lengths of 1/2 feet. What is the volume of the container?

Answers

Answer 1
we know that
volume of one wooden cube blocks=(1/2)³=1/8 ft³

volume rectangular prism=840*(1/8)=105 ft³

the answer is 105 ft³
Answer 2
The first thing we should know is that the volume of a cube by definition is:
 V = L ^ 3
 Where:
 L: side.
 We have then that the volume of a cube is:
 V = (1/2) ^ 3
 V = 1/8
 Then, the prism volume is:
 Vtotal = 840 * V
 Vtotal = 840 * (1/8)
 Vtotal 105 feet ^ 3
 Answer:
 the volume of the prism is:
 
Vtotal 105 feet ^ 3

Related Questions

sinθ=1/4, 0<θ<90; cosθ

Answers

Try this option:
1. rule: if θ∈(0;90°), then cosθ>0 and sinθ>0;
2. using the rule and sin²θ+cos²θ=1, ⇒ cosθ=√(1-sin²θ)=√15/4.

answer:
[tex] \frac{ \sqrt{15}}{4}.[/tex]

Evaluate 0.3 y+\dfrac yz0.3y+zy​0, point, 3, y, plus, start fraction, y, divided by, z, end fraction when y=10y=10y, equals, 10 and z=5z=5z, equals, 5.


Answers

The first thing we must do for this case is to rewrite the expression.
 We have then:
 0.3y + y / z
 We evaluate for y = 10, z = 5:
 0.3 (10) + (10) / (5)
 3 + 2
 5
 Answer: 
 0.3y + y / z 
 For 
 y = 10 
 z = 5 
 the result is 5.

When [tex]\( y = 10 \) and \( z = 5 \)[/tex], [tex]\( 0.3y + \frac{y}{z} \) equals \( 5 \)[/tex].

Step 1 :

To evaluate the expression [tex]\(0.3y + \frac{y}{z}\) when \(y = 10\) and \(z = 5\)[/tex], follow these steps:

1. Substitute the given values of [tex]\(y\) and \(z\)[/tex] into the expression:

  [tex]\[0.3 \times 10 + \frac{10}{5}\][/tex]

2. Calculate each term separately:

  - [tex]\(0.3 \times 10 = 3\)[/tex]

  - [tex]\(\frac{10}{5} = 2\)[/tex]

3. Add the results:

  [tex]\[3 + 2 = 5\][/tex]

So, when [tex]\(y = 10\) and \(z = 5\)[/tex], the expression [tex]\(0.3y + \frac{y}{z}\) equals \(5\).[/tex]

Step 2 :

1. Multiply 0.3 by 10:

  [tex]\[0.3 \times 10 = 3\][/tex]

2. Divide 10 by 5:

  [tex]\[\frac{10}{5} = 2\][/tex]

3. Add the results:

  [tex]\[3 + 2 = 5\][/tex]

Thus, when [tex]\(y = 10\) and \(z = 5\)[/tex], the expression [tex]\(0.3y + \frac{y}{z}\) equals \(5\).[/tex]

"What is the value of-3|15-s|+2^3 when s-=3"?

Answers

You probably made a typing error in writing s = -3 and wrote s - = 3 instead.

The given expression is:

[tex]-3|15-s|+ 2^{3} \\ \\ -3|15-s|+8 [/tex]

Substituting the given value of s in the previous equation, we get:

[tex]-3|15-(-3)|+8 \\ \\ =-3|15+3|+8 \\ \\ =-3|18|+8 \\ \\ =-54+8 = -46[/tex]

Thus the value of given expression becomes -46 for s = -3

A rectangle is dilated by a scale factor of 4.

a) The original rectangle is 8 cm by 3 cm. What are the dimensions of the new rectangle?

b) Is the new image a reduction or enlargement? Explain.

HELP PLEASE

Answers

The dimensions of the new rectangle would be 32 cm by 12 cm.  This is an enlargement.

Since the scale factor is 4, we multiply the dimensions of the original rectangle, the preimage, by 4.  8*4 = 32 and 3*4 = 12.

Since the new dimensions are larger than the old dimensions, it is an enlargement.

How many times is function f called in the code segment below? 25 points?

Answers

what do you mean by saying below?

By the Triangle Inequality Theorem, if two sides of a triangle have lengths of 6 and 13, what are the possible lengths of the third side?

Answers

The Triangle Inequality Theorem establishes that the length of the triangle is shorter than the sum of the two lenghts of the others two sides. Then, you have:

 a=6   (the lenght of a side of the triangle).
 b=13   (the lenght of a side of the triangle).
 c=x    (the length of the third side).

 Therefore:

 c<a+b
 c<6+13
 c<19

 The lenght of the third side is:

 (13-6)<c<19
 7<c<9

In this exercise we have to use the knowledge of triangles to calculate the value of the third side, so we have:

[tex]7

organizing the information given in the statement we find that:

a=6 b=13   c=x  

Recognition of the Pythagorean theorem we have that will be:

[tex]c

See more about triangles at brainly.com/question/25813512

What is the mean absolute deviation for the set of data below?

2, 8, 10, 16

Answers

Solution: We are given below data:

[tex] 2, 8, 10, 16 [/tex]

Now to find the mean deviation, we use the below formula:

[tex] MD= \frac{\sum|X-\bar{X}|}{N} [/tex]

Where:

[tex] \sum, [/tex]  represents the summation

X, represents the observation.

[tex] \bar{X}, [/tex] represents the mean

N represents the number of observation.

[tex] \bar{X}= \frac{\sum{X}}{N}= \frac{2+8+10+16}{4}=9 [/tex]

[tex] \sum |X-\bar{X}| = |2-9| + |8-9| +|10-9| +|16-9|=7+1+1+7=16 [/tex]

Therefore, the mean deviation is:

[tex] MD= \frac{16}{4} [/tex]

        = 4

Answer:

4 \

Step-by-step explanation:

The average of 25, 29, and x is 29. Find x.

Answers

29 * 3 = 87

25 +29 = 54

x = 87 - 54 = 33
x = 33

29 * 3 = 87

25 +29 = 54

x = 87 - 54 = 33

x = 33

What is the rule for this pattern of numbers?

Answers

multiply by 2 then add 2

Find two numbers, if Their sum is 3/5 and their difference is 7 1/5

Answers

Set up a system of equations:

x + y = 0.6
x - y = 7.2

You can solve using elimination. Add the two equations together:

2x + 0y = 7.8
2x = 7.8
x = 3.9

Then plug the number back into either of the two original equations to solve for y:

3.9 + y = 0.6
y = -3.3

The two numbers are 3.9 and -3.3

Answer:

3.9 and -3.3

Step-by-step explanation:

translation rule to describe the translation of x that is 3 units to the left and 4 units up

Answers

Translation rule: ( x - 3, y + 4 ). 
( x - 3, y + 4 ) is the answer


write the rate as a fraction? 17 meters per second

Answers

Hey there!

I'm assuming this means the abbreviation for meters per second. The rate as a fraction would be 17m/s.

Hope this helped, have a great day!

There is only one granola bar left out of a pan of 10 bars. If will and Rachel decide to split the last granola bar, what fraction of the entire pan of granola bars will each friend receive?

Answers

[tex] \frac{1}{20} [/tex]

The entire pan has a total of 10 granola bars, and there is one tenth of the pan left. Will and Rachel will split the last one tenth in half, so the two fractions that need to be multiplied are: 

[tex] \frac{1}{2} * \frac{1}{10} [/tex]

So, Will will receive [tex] \frac{1}{20} [/tex] of the pan and Rachel will

receive [tex] \frac{1}{20} [/tex] of the pan. 

What are the 3 steps for factoring completely?



2. How did the technique of “Factoring by Grouping” get it’s name?



3. How can you tell if Factoring by Grouping works for a problem?



4. What is a perfect square trinomial?



5. a.) How can you tell if a binomial is the difference of two squares.



b.) What is the factored form of the difference of two squares.



6. How do you find the zero’s of a polynomial function?

Answers

The three steps in Factoring Completely are:

Factor a GCF from the expression, if possible. 
Factor a Trinomial, if possible. 
Factor a Difference Between Two Squares as many times as possible.
Final answer:

Factoring completely involves three steps: identifying the GCF, applying the appropriate factoring method, and checking for additional factors. Factoring by grouping is used when there are four terms in an expression and common factors can be factored out separately. An example is given to illustrate the factoring by grouping process.

Explanation:Factoring Completely:Identify the greatest common factor (GCF) of the terms in the expression and factor it out.Apply the difference of squares, trinomial, or grouping method to factor the remaining expression.Check if there are any additional factors that can be factored further.Factoring By Grouping:

This technique is used when there are four terms in an expression and there is a common factor between the first two terms and the last two terms. The common factor is factored out separately from the two pairs, and then the resulting binomials are factored further.

Factoring by Grouping Example:

Consider the expression 2x + 3y + 4x + 6y. In this case, we can group the terms as (2x + 3y) + (4x + 6y). Common factors can be factored out separately, resulting in (2x + 3y)(1 + 2).

Learn more about Factoring Completely here:

https://brainly.com/question/29012163

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It's 3/5 of the wall is made from brick how do you determine the height of the brick proportion of the wall

Answers

If 3/5 of the height is made of brick, multiply the total height by 3/5 to find the height of the brick portion.


_____
"Of" means "multiplied by", so
  (3/5) of the height is brick
means
  (3/5)*(the height) = height of brick portion

To find the height of the brick proportion of a wall, multiply the total wall height by the fraction representing the brick portion. For instance, if the wall is 220 cm high and 3/5 is brick, the brick portion's height would be 132 cm.

To determine the height of the brick proportion of the wall, you would need to know the total height of the wall first. Once you have the total height, you can calculate the height of the brick section by multiplying the total height by the fraction of the wall that is brick. For example, if 3/5 of the wall is made from brick, and the wall is 220 cm high, the calculation would be as follows:

Height of brick portion = Total height of the wall × Fraction of wall that is brick

Height of brick portion = 220 cm × (3/5) = 132 cm

Therefore, the height of the brick proportion of the wall would be 132 cm.

-3x = 4y = 8

X and y intercepts of this equations . Then graph line

Answers

Divide by the constant on the right to put the equation into intercept form.
.. -3x/8 +4y/8 = 1
.. x/(-8/3) +y/2 = 1

The intercepts are (-8/3, 0) and (0, 2).

1.find the slope between these 2 points:(5,-5) and(3,-5)

2.find the slope between these two points:(2,3)and (4,5)

3.find the slope between the two points (-5,5)and (3,-5)

4.find the slope between these two points (9,9) and (12,15)

Answers

1. 2
2. 2√2
3. 2√14
4. 3√5
I provided the distance formula and and example for you.

Final answer:

To find the slope between two points, use the formula m = (Y2 - Y1) / (X2 - X1) where (X1, Y1) and (X2, Y2) are the coordinates of the two points. The slopes for the given point sets are: 0, 1, -5/4, and 2.

Explanation:

To find the slope between two points, we can use the formula:
m = (Y2 - Y1) / (X2 - X1)
where (X1, Y1) and (X2, Y2) are the coordinates of the two points.

For the first set of points (5, -5) and (3, -5), the slope is:
m = (-5 - (-5)) / (3 - 5) = 0 / -2 = 0

For the second set of points (2, 3) and (4, 5), the slope is:
m = (5 - 3) / (4 - 2) = 2 / 2 = 1

For the third set of points (-5, 5) and (3, -5), the slope is:
m = (-5 - 5) / (3 - (-5)) = -10 / 8 = -5/4

For the fourth set of points (9, 9) and (12, 15), the slope is:
m = (15 - 9) / (12 - 9) = 6 / 3 = 2

If the sum of six consecutive even integers is 354 what is the smallest of the six integers

Answers

X=smallest number

X+x+2+x+4+x+6+x+8+x+10=354
6x+30=354
6x=324
X=54

Some amount of billiard balls were arranged in an equilateral triangle. And 13 balls were extra. When the same set of billiard balls were arranged into triangle in which each side has one more ball than in the first arrangement there were 7 balls shortage. How many balls were at the set?

Please help if you absolutly know the answer!!!!!!!!!!!

Answers

The answer is 203 balls.

203 balls I'm sorry I did research over the night I'm sorry I gave you the wrong answer

Create a 5th degree polynomial with four terms in standard form

Answers

Asked and answered elsewhere.
https://brainly.com/question/9170304

the length of a rectangular foam packing block is 9 in the width is 3 and 1/4 in and the height is 2/3 of an inch what is the volume of the foam block

Answers

To find the volume you will multiply the length by the width by the height (V=lwh).

V = 9 x 3 1/4 x 2/3
V = 19 1/2 cubic inches.

To find the volume of any prism, you find the area of the base (length times width in this case) and then multiply it by the height.

The volume of a rectangle is the product of it length, width and height, the volume of the rectangle in this example is 19 1/2 cubic inched

Volume of Rectangle

Given Data

Length of block = 9 inches

Width of block  = 3 1/4 inches = 13/4 inches

Height of block = 2/3 of an inches

We know that the expression for volume of rectangle is given as

Volume = Length * With * Height

Substituting our given data we have

Volume = 9* 13/4 * 2/3

Volume = 9*13*2/1*4*3

Volume = 234/12

Volume = 19 1/2 cubic inches

Learn more about rectangle here:

https://brainly.com/question/25292087

A patio has an area of 432 square feet the width of the patio is 3/4 its length what is the length

Answers

area = L x W

W = 0.75L

432 = L x 0.75L

432 = 0.75L^2

L^2 = 432/0.75
L^2 = 576

L = sqrt(576) = 24

Length = 24 feet

Which of the expressions below can be factor using the difference of squares method

Answers

25x^2 - 64y^2

The first thing you can do is look for a subtraction sign. The word difference implies subtraction, so you can rule out any expressions that add terms. Secondly, you can look for squares. 17x^2 - 23y^2 is a subtraction expression, but 17 and 23 are not squares. However, 25x^2 - 64x^2 is a subtraction expression and its terms are squares. 25 = 5x5, 64 = 8x8. Hope this helps!

A local park rents cabins for people who want to vacation by the forest. The fee for the rental is $27 per night.There is also $55 cleaning and maintenance charge that is added to the total bill.
Define variables for the number of days that a cabin is rented and the cost of the rental. Use the variables to write an equation that represents the cost to the rent the cabin,given the number of days that the cabin is rented.

Please answer as quickly as possible this is URGENT

Answers

x represents the total number of nights rented.  $55 is the constant.

$27x + 55

The smallest angle in a triangle is 1/5 as large as the largest angle. The third angle is twice the smallest angle. Find the three angles.

Answers

6x=180
x=112.5 degrees
.2x=22.5 degrees
(.2x)= 45 degrees

Answer:

x + 5x + 2x = 180  

8x = 180  

x = 22.5 degrees ( smallest angle),  Largest Angle = 112.5 degrees and the third angle = 45 degrees

Let's call the smallest angle x.  Then the largest angle is 5x and then the third angle is 2x since it is twice the smallest angle.  We know that the sum of all the angles in a triangle is 180 degrees.

Step-by-step explanation:

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a bowl of soup holds 7 ounces. If a spoonful holds 1/6 ounce, how many spoonfuls are in 3 bowls of soup? Tell the operation and explain how you got your answer

Answers

there will be 126 spoonful's

hope this helped

24r3-64r2-21r+56 answer

Answers

[tex]The answer is: (3r-8)(8r^{2}-7) [/tex]

Which prefix means 1/10 of a unit in the metric system?

A. milli
B. Deci
C. Hecto
D. Centi

Answers

Centi because Deci means 10 while Centi is one tenth.

PLEASE HELP ME!
Find each value. Use a calculator if needed.

ORDER MATTERS!

a) P(12, 5)
= A. 60 B. 248,832 C. 95,040 D. 300

b) P(8, 8)
= A. 64 B. 40,320 C. 30,555 D. 16

Answers

Presumably, [tex]P(n,k)[/tex] refers to the number of ways we can pick [tex]k[/tex] objects from a pool of [tex]n[/tex] objects in a certain order. We have

[tex]P(n,k)=\dfrac{n!}{(n-k)!}[/tex]

so

[tex]P(12,5)=\dfrac{12!}{(12-5)!}=\dfrac{12!}{7!}=95,040[/tex]

[tex]P(8,8)=\dfrac{8!}{(8-8)!}=\dfrac{8!}{0!}=40,320[/tex]

HELPPP PLLLZZZ III BEEEG

For what value of x is the square of the binomial x+1 twenty greater than the square of the binomial x–3?

Answers

Asked and answered elsewhere.
https://brainly.com/question/9124477

Answer:

x=3.5 they did nothing wrong but I am pretty sure you meant not twenty but one hundred and twenty for that the answer is x=16

Step-by-step explanation:

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