The rectangular prism is made of 1-inch cubes.
If two more layers of cubes are placed on top of the rectangular prism, how many more cubes are
added to the prism?
What would be the volume of the new rectangular prism?
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more cubes are added to the prism.
The volume of the new rectangular prism is​

Answers

Answer 1

Answer:

Additional cubes added to the rectangular prism= 72cubes

Volume of new rectangular prism = 108in³

Step-by-step explanation:

The question is incomplete without the diagram and not clear to understand.

Let's determine how to find answers to the above using the following:

The diagram used for solving the question has been attached.

From the diagram, the base of the rectangular prism has length =6inches and width = 6inches

Height = 1inch

If 2more layers are added, then height becomes 3inches sinch the two additional layer has same dimensions as the base.

The bottom layer has 6 by 6 dimension

Area = 6×6 = 36in²

Since 1 cube = 1 inch

Number of cubes in the base = 36cubes

Since two layers were added, Additional cubes added to the rectangular prism = 2×36 = 72cubes

Volume of rectangular prism = length×breadth×height

= l×b×h

dimension of new rectangular prism

Length = 6in

Breadth = 6in

Height = 3in

Volume of new rectangular prism = 6×6×3

Volume = 108in³

The Rectangular Prism Is Made Of 1-inch Cubes.If Two More Layers Of Cubes Are Placed On Top Of The Rectangular
The Rectangular Prism Is Made Of 1-inch Cubes.If Two More Layers Of Cubes Are Placed On Top Of The Rectangular

Related Questions

A fair coin is tossed, and a marble is chosen from the bag whose contents are shown below. 3 red marbles, 3 blue marbles, and 4 green marbles. What is the probability of the coin landing heads up and a blue (B) marble being randomly selected?

Answers

Answer:

3/20

Step-by-step explanation:

Red = 3

Blue = 3

Green = 4

Total = 3+3+4 = 10

Pr (red) = 3/10

Pr blue) = 3/10

Pr (green) = 4/10

Where Pr = probability

You either have a head or a tail when tossing a coin

Probability of having head = 1/2

Probability of having tail = 1/2

The probability of the coin landing heads up and blue marble = Probability of head ×Pr (blue)

= 1/2 × 3/10

the probability of the coin landing heads up and blue marble = 3/20

Answer:

3/20

Step-by-step explanation:

what is the following product ? (sqrt12+sqrt6) (sqrt6-sqrt10)

Answers

Answer:

6√2-2√30+6-2√15

Step-by-step explanation:

(√12+√6)(√6-√10)=

√12*6- √12*10+√6*6-√6*10=

6√2-2√30+6-2√15

The answer is the first one

F(x)=x^2 g(x)=x^2-8 we can think of g as a translated (shifted) version of f

Answers

Answer:

Shift f 8 units down.

Step-by-step explanation:

The complete question is

[tex]f(x) =x^2 ,g(x) ​ =x^2-8[/tex]. ​ We can think of g as a translated (shifted) version of f. Complete the description of the transformation. Use nonnegative numbers. To get the function g, shift f by___ units.

We know that g is obtained by shifting f, k units up or down (depending of the value of k, if positive, the shifting is up, or down otherwise). At any point x, we get g(x) by adding k units to the value of f(x). That is

[tex]g(x) = f(x)+k[/tex]

If we replace the meaning of f,g we get

[tex]x^2-8 = x^2[/tex]

by substracting x^2 on both side we get that k = -8. This means that to get g, we must shift f 8 units down

While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the
United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have?
Round to the nearest cent.
1 European euro = 1.3687 US dollars
44.70 US dollars
73.06 US dollars
136.87 US dollars
140.41 US dollars

Answers

Answer:

44.70 USD

Step-by-step explanation:

250÷1.3687

=182.655074158

182.655074158-150

=32.655074158

32.655074158×1.3687

=44.6950000001

The 44.70 US dollars Phelan now has if Phelan exchanged 250 US dollars for euros option (A) is correct.

What is unit conversion?

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

It is given that:

While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip.

After returning to the United States he converts his money back to US dollars. H

Let x be the total original 250 US dollars Phelan now have:

The value of x can be found as follows:

x = (250/1.3687 - 150)x1.3687

After simplification:

x = 44.69 ≈ 44.70 US dollars

Thus, the 44.70 US dollars Phelan now has if Phelan exchanged 250 US dollars for euros option (A) is correct.

Learn more about the unit conversion here:

https://brainly.com/question/11543684

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Please answer this correctly

Answers

Answer:

8

Step-by-step explanation:

18(4/3)=24

6(4/3)=h

h=8

Answer:

h = 8

Step-by-step explanation:

These shapes are similar, so you can set up a proportion to solve for h:

[tex]\frac{24}{18}= \frac{h}{6}[/tex]

Cross multiply:

[tex]\frac{144}{18h}[/tex]

Divide 144 by 18:

h = 8

In the diagram below BD parallel to XY. What is the value of 2

Answers

Answer:69

Step-by-step explanation: Because I am smart

Which property of addition is shown? (3 + 9) + 8 = 3 + (9 + 8)

Answers

Answer:

Associative Property of Addition

Step-by-step explanation:

Looking at the expression, you can see that the numbers have been grouped differently. Based on the Associative Property of Addition, the sum of the numbers is the same despite the different pairing.

Enter a positive common factor ( other than 1) of 35 and 42

Answers

The answer would be 7!

What two decimals are equivalent to 5.300.

Answers

Answer:

Two or more decimal numbers are said to be equivalent decimals, when they name the same value (or same amount). For example, the decimals: 0.2 = 0.20 = 0.200 = 0.2000 etc. Thus by successive addition of zeros after the decimal part of the number after the decimal point means the same number and hence are equivalent. Therefore, the decimals: 5.3, 5.30, 5.300, 5.3000 etc are all equivalent.

Answer:

Two or more decimal numbers are said to be equivalent decimals, when they name the same value (or same amount). For example, the decimals: 0.2 = 0.20 = 0.200 = 0.2000 etc. Thus by successive addition of zeros after the decimal part of the number after the decimal point means the same number and hence are equivalent. Therefore, the decimals: 5.3, 5.30, 5.300, 5.3000 etc are all equivalent.

Solve the triangle for all missing sides, rounded to the nearest tenth, and angles, rounded to the nearest degree.

Answers

Answer:

x=32 y=416 M<ABC=158°

Step-by-step explanation:

The area of the parallelogram is 56 cm2. True or false

Answers

Answer:

True

Step-by-step explanation:

What is the difference in the length between a 1-1/4-inch button and a 3/8-inch button?

Answers

Answer:

7/8

Step-by-step explanation:

1 1/4 - 3/8

5/4 - 38  

0/8 - 3/8  

7/8

¿Qué es y para que nos sirve la jerarquía de operaciones en la vida cotidiana?

Answers

for example, si te pones los zapatos antes que los pantalones, te costará mucho vestirte

The life time of a certain brand of bulbs produced by a company is normally distributed, with mean 210 hours and standard deviation 56 hours.what is the probability that a bulb picked at random from this company product will have a life time of at least 300 hours?

Answers

Answer:

5.37% probability that a bulb picked at random from this company product will have a life time of at least 300 hours

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 210, \sigma = 56[/tex]

What is the probability that a bulb picked at random from this company product will have a life time of at least 300 hours?

This is 1 subtracted by the pvalue of Z when X = 300. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{300 - 210}{56}[/tex]

[tex]Z = 1.61[/tex]

[tex]Z = 1.61[/tex] has a pvalue of 0.9463

1 - 0.9463 = 0.0537

5.37% probability that a bulb picked at random from this company product will have a life time of at least 300 hours

write an equation (a) in slope intercept form and (b) in standard form for the line passing through (-3,6) and parallel x+2y=5

Answers

Answer:

y = -1/2x +9/2x +2y = 9

Step-by-step explanation:

(b) The given line is in standard form, so the equation you want will be similar, but with a different right-side constant. That constant is found by putting the coordinates of the given point into the left-side expression.

  x + 2y = constant

  (-3) +2(6) = constant = 9

The standard form equation of the parallel line is x +2y = 9.

__

(a) To put this equation in slope-intercept form, solve for y.

  2y = -x +9

  y = (-1/2)x +9/2

Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2

Answers

2+x=5, x+1=4, and negative 5+x= 2 are all equal because x=3 in all of them

The requried equations that are equivalent to each other are,
(A)  2 + x = 5    (B) x + 1 = 4   (E) -5 + x = -2.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Given equations,
(A) 2 + x = 5
Simplifying the above expression,

x = 5 - 2
x = 3

Similarly, simplify all the equations,
(B) x = 3
(C) x = -3
(D) x = 11
(E) x = 3

Therefore, equations that give x = 3, after simplification is equivalent equations.

Thus, the requried equations that are equivalent to each other are,
(A)  2 + x = 5    (B) x + 1 = 4   (E) -5 + x = -2.

Learn more about simplification here:

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There are 64 students in a speech contest. Yesterday, Ā of them gave their speeches. Today, 7 of the remaining students gave their speeches. How many
students still haven't given their speeches?
M

Answers

Answer:

23

Step-by-step explanation:

Ā means the average

So it means the average of 64 gave their speech which should be 64/2 = 32

So 32 gave their speeches yesterday,

7 gave today

Total number that has given is

32 + 7 = 39

Therefore the number remaining are

62 - 39 = 23

Please answer this question ! thank you so much !! Will give brainliest !!

Answers

Your answer going to be equal seven axis y plus sixty three
= 7y + 63

Answer:

y = -7x + 14

Step-by-step explanation:

m=1/7

m perp = -7

y = mx + b

-7 = -7(3) + b

14 = b

y = -7x + 14

Factor 4x^2+12x+5 by applying the distributive property

Answers

Answer:

(2x + 5)(2x + 1)

Step-by-step explanation:

 4x^2 + 12x + 5

=4x^2 + 2x  + 10x + 5

=2x(2x + 1) + 5(2x + 1)

=(2x + 5)(2x + 1)

Hope this helps!

 A bowl is in the shape of a hemisphere​ (half a​ sphere) with a diameter of 15 15 in. How can you find the radius if you know the diameter of the​ sphere? Find the volume of the bowl. Use 3.14 for pi π.

Answers

ANSWER: V=883.125 in^3

EXPLANATION:
*The radius is had the diameter. So, the radius is 7.5 because the diameter is 15.

V = 4/3 πr³

V = 4/3 (3.14)(7.5)³

V= 1766.25in³

*You found the volume of the entire sphere (1766.25in³). To find half, you divide by 2!

V=1766.25in³/2

V=883.125in³

A map has a scale of 3cm 7km if two cities was 8 cm on the nearest tenth of a kilometer

Answers

Answer:

18.7 km

Step-by-step explanation:

3 cm >>>  7 km

1 cm >>> 7/3 km

8 cm >>> 8*7/3 km= 18.7 km

Answer:

18.7

Step-by-step explanation:

Which situation shows a constant rate of change? A. The number of play tickets sold compared with the number of minutes before the play starts B. The height of a helicopter over time C. The cost of fabric compared with its length in yards D. The outside temperature compared with the number of glasses of lemonade sold

Answers

Answer:

C - The cost of fabric compared with its length over time.

A lighthouse is located on a small island 2 km away from the nearest point P on a straight shoreline and its light makes 9 revolutions per minute. How fast is the beam of light moving along the shoreline when it is 1 km from P ? (Round your answer to one decimal place.)

Answers

Answer:

The speed of light moving along the shoreline when it is 1 km from P is 2.1064 km

Step-by-step explanation:

We are given that a point 1 km from point P on the shoreline would  form a a right triangle with the lighthouse, point P, and the point 1 km from  point P.

The distance from that point to the lighthouse would be the hypotenuse.

That would also be the radius of the circle the beam of light is making at that point.

To find the hypotenuse

[tex]Hypotenuse^2 = Perpendicular^2 +base^2 \\r^2 = 1^2 +2^2\\r=\sqrt{1^2+2^2}\\r=2.236[/tex]

Circumference =[tex]2 \pi r = 2 \times 3.14 \times 2.236=14.05 km[/tex]

The beam of light is making at point 14.05 km away

One revolution: [tex]\frac{60}{9}= 6.67[/tex] sec per revolution

Speed = [tex]\frac{14.05}{6.67}=2.1064[/tex]

Hence The speed of light moving along the shoreline when it is 1 km from P is 2.1064 km

A homeowner finds that there is a 0.15 probability that a flashlight does not work when turned on. If she has three flashlights, find the probability that at least one of them works when there is a power failure. Find the probability that the second flashlight works given that the first flashlight works.

Answers

Answer:

A) 0.386

B).0.325

Step-by-step explanation:

probability p will not work = 0.15

Q probability w5ill work = 0.85

Number of flashlight = 3

Probabilty of at least one=

1- probability of none

But probability of none= 3C0(p)^0(q)^3

= 1*(0.15)^0(0.85)^3

= 1*1*(0.614)

= 0.614

Probability of at least one=1-0.614

= 0.386

Probability of two flashlight work

= 3C1(0.15)^1(0.85)^2

= 3*(0.15)*(0.7225)

= 0.325

Please help answer this question !! I will give you brainliest !!!

Answers

Answer:

y = 7x + 24

Step-by-step explanation:

m = 7

y = mx + b

3 = 7(-3) + b

24 = b

y = 7x + 24

Solve the system using either Gaussian elimination with back-substitution or Gauss-Jordan elimination. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, set y = t and solve for x in terms of t.) −3x + 5y = −19 3x + 4y = 1 4x − 8y = 28

Answers

Answer:

x = 3 and y = -2

Step-by-step explanation:

We have the following system:

-3 5 | 19

3  4  | 1

4 -8 | 28

We divide the first row by -3 and it would be:

1 -1.67 | 6.33

3   4    | 1

4  -8    | 28

Now, we multiply by 3 and subtract the second row and we have:

1 -1.67 | 6.33

0     9 | -18

4    -8 | 28

Now, we multiply by 4 and subtract the third row and we have:

1 -1.67 | 6.33

0    9   | -18

0 -1.33 | 2.67

divide the second row by 9:

1 -1.67  | 6.33

0    1    | -2

0 -1.33 | 2.67

multiply the second row by 1.33 and add it to the third row and it remains:

1 -1.67 | 6.33

0    1   | -2

0   0   | 0

multiply the second row by 1.67 and add it to the first row and we have:

1 0  | 3

0 1  | -2

0 0 | 0

Therefore, from here we can deduce that x = 3 and y = -2

What’s the correct answer for this?

Answers

Answer:

(AE )(EB)=(CE)(ED)

Step-by-step explanation:

The lines (AE )(EB)=(CE)(ED)

Line AE is congruent with line CE and Line EB is congruent with ED

A line is congruent when they assume the same shape and form but only they can be flipped;

AB and CD are both line segments.

Answer:

fourth option

Step-by-step explanation:

Given two intersecting chords, then

The product of the parts of one chord is equal to the product of the parts of the other chord, that is

AE(EB) = CE(ED)

tg15°=.... Help me please ​

Answers

Answer:

2-sqrt(3)

Step-by-step explanation:

google said

Eggs are sorted into two sizes (large and extra large) at the Cheerful Chicken Dairy. Unfortunately, business has not been good lately, and since the Cheerful Chicken’s 40-year-old egg-sorting machine finally gave up the ghost there have been no funds available to replace it. Instead, Old Fred, one of the firm’s sharper-eyed employees, has been equipped with a "Large" rubber stamp in his right hand and an "X-large" stamp in his left and assigned to stamp each egg with the appropriate label as it goes by on the conveyor belt. Down the line, another employee puts the eggs into either of two hoppers, each egg according to its stamp. The system works reasonably well, all things considered, except that Old Fred has a heavy hand and on the average breaks 30% of the 120 eggs that pass by him each minute. At the same time, a check of the "X-large" stream reveals a flow rate of 70 eggs/min, of which 25 eggs/min are broken.
1. Draw and label a flowchart for this process.
2. Write and solve balances about the egg sorter on
total eggs and broken eggs.
3. How many "large" eggs leave the plant each minute, and what fraction of them are broken?
4. Is Old Fred right- or left-handed?

Answers

Answer:

1) Flowchat Attached

2) See the Explanation

3) Large eggs leaving plant per minute =  [tex]E_L=50(eggs/min)[/tex]

   Percetange of broken = 22%

4) Right Handed

Step-by-step explanation:

1) Flowchart

(SEE THE ATTACHMENT)

2) Balance Equations

Egg balance:

[tex]E_{in}=E_X +E_L\\[/tex]

[tex]120(eggs/min)=E_L + 70(eggs/min)\\E_L=120(eggs/min)-70(eggs/min)\\E_L=50(eggs/min)[/tex]

Broken Egg Balance:

[tex](0.3)E_{in}=(x)E_L+ E_X\\0,3\cdot120=x\cdot50+25\\36=50x+25\\50x=36-25\\50x=11\\x=\frac{11}{50}\\x=0.22\\[/tex]

3) Large eggs leaving, % of them broken

Number of large eggs leaving each minute was found by egg balance in Part (2)

[tex]E_L=50(eggs/min)[/tex]

Fraction of them broken was found by broken egg balance in Part (2)

x=0.22

Convert it into a percentage

[tex]x=\frac{22}{100}\cdot10 = 22\%\\[/tex]

4) Fred Right or Left Handed?

Percentage of broken eggs in Right hand = 22%

Percentage of broken eggs in Left Hand = [tex]\frac{25}{70}\cdot100=36\%[/tex]

As percentage of broken eggs in his Right hand is less than in his Left Hand, He is RIGHT HANDED.

Ann and Tom want to establish a fund for their grandson's college education. What lump sum must they deposit at an 8% annual interest rate, compound annually, in order to have $40,000 in the fund at the end of 10 years?

Answers

Answer:

  $18,527.74

Step-by-step explanation:

Each year, the fund amount is multiplied by 1+8% = 1.08. After 10 years, it will have been multiplied by that factor 10 times, 1.08^10. For some principal P deposited now, we want ...

  P(1.08^10) = $40,000

  P = $40,000/1.08^10 ≈ $18,527.74

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