a shipping crate is a perfect cube with volume of 2,197 cubic feet. the ceiling of the warehouse is 14 feet high. will the crate fit in the warehouse explain why

Answers

Answer 1

Answer:

As the height of warehouse is greater than the height of crate, the crate will fit in the warehouse.

Step-by-step explanation:

Given that

Volume of cube = V = 2197 cubic feet

Side of cube = a =?

Height of ware house = h = 14 feet

In order for the crate to fit in the warehouse the height of crate has to be less than the height of warehouse i.e. a<h

In order to check this we have to find the side/height of crate

So,

[tex]V = a^3\\2197 = a^3[/tex]

Taking cube root on both sides

[tex]\sqrt[3]{a^3} = \sqrt[3]{2197}\\\sqrt[3]{a^3} = \sqrt[3]{13^3}\\ a = 13\ feet[/tex]

So the height of cube is 13 feet.

Comparing the height of c and height of ware house we can conclude that

Height of Warehouse > Height of crate

h>a

14>13

As the height of warehouse is greater than the height of crate, the crate will fit in the warehouse.


Related Questions

Last year, a middle school band had 80 students. This year,
the band has 120% of that number of students. How many
students are in the band this year?

Answers

pretty sure 40. i think its 40 because 120 divided by 80 is 1.5 which is half. so 80 divided by 2 = 40. not sure tho

Answer:

The answer actually is 96

Step-by-step explanation:

how to write this numbers in word 23.13​

Answers

Answer:

twenty three and 13 hundredths

Answer:

Twenty three point thirteen

Can someone help me with the question in the image?

Answers

Step-by-step explanation:

m< I = m < 2 = m < 3

7y+16 = 2X

7y - 2x +16 = O ............I

7y +16 = 4X _30

7y -4 x + 46 = 0 ...............2

solve eq I,2

2 X - 30= o

X= 15

substitute in I

7X= 14

y = 2

-2x + 4 < 16
Help me please I didn’t pay attention

Answers

Answer:

I think it’s done like this, I’m not sure

First, collect the like terms

-2x<16-4

-2x<12

x<12/-2

x<-6

So, you substitute -6 instead of x to find which is greater

12+4<16

16<16

Which makes it false

Step-by-step explanation:

I hope I explained well, please give me brainliest

The solution of the inequality - 2x + 4 < 16 will be;

⇒ - 6 < x

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ - 2x + 4 < 16

Now,

Solve the expression as;

⇒ - 2x + 4 < 16

Subtract 4 both side, we get;

⇒ - 2x + 4 - 4 < 16 - 4

⇒ - 2x < 12

Divide by 2 , we get;

⇒ - x < 6

Multiply by - 1, we get;

⇒ x > - 6

⇒ - 6 < x

Thus, The solution of the inequality - 2x + 4 < 16 will be;

⇒ - 6 < x

Learn more about the inequality visit:

https://brainly.com/question/25275758

#SPJ2

Pls help me on 21 , 22 , and 23

Answers

Find the slope of each of the two lines using the formula

y1-y2/x1-x2

Then if the slopes are the same, they’re parallel, and if they are the opposite reciprocal they are perpendicular. If they aren’t either of those options then it’s neither

Let me know if this helped!

9514 1404 393

Answer:

  21.  perpendicular

  22.  neither

  23.  parallel

Step-by-step explanation:

It can help to plot the points on a graph and draw lines through them. This can also let you count grid squares, which can make it easier to find the slope.

21. See attachment 1. The lines are perpendicular.

QR has a slope of -3/2. ST has a slope of 2/3, the opposite reciprocal.

__

22. See attachment 2. The lines are neither parallel nor perpendicular.

__

23. The x-coordinates of Q and R are the same, so this is a vertical line at x=-1. The x-coordinates of S and T are also the same, so it is a vertical line at x=11. The two vertical lines are parallel to each other.

_____

Additional comment

When you have a number of problems that all require similar arithmetic, it can be useful to embed that arithmetic in a spreadsheet. You have to enter the numbers somewhere to "show work" or perform a calculation, so you may as well enter them into a spreadsheet that does the calculation for you.

Of course, the slope formula is ...

  m = (y2 -y1)/(x2 -x1)

If you simply show the values of m for each pair of points, you can see if they are equal (lines are parallel). You can also have the spreadsheet compute their product to see if it is -1 (lines are perpendicular). If you get a #DIV/0! error, it means the line is vertical (and the product will also give an error). You can avoid error messages by making the spreadsheet more sophisticated, but that isn't necessary for the purpose here.

eric is twice as old as june. the sum of their ages is 57. how old is june.

Answers

Answer:

19

Step-by-step explanation:

2x + x = 57

3x = 57

x = 19

Check:

2 times 19 = 38

38 + 19 = 57

to answer your question!!.... it’s 19

ILL GIVE BRAINLIEST!!
What is the reciprocal of x^3 and a^2

Answers

Answer:

a) [tex]\frac{1}{x^3}[/tex]

b) [tex]\frac{1}{a^2}[/tex]

Step-by-step explanation:

Reciprocal of a number is 1 divided by that number

We need to find reciprocal of x^3 and a^2. To find the reciprocal we will do is: 1 divided by the given number

a) Reciprocal of x^3

[tex]=\frac{1}{x^3}[/tex]

b) Reciprocal of a^2

[tex]=\frac{1}{a^2}[/tex]

A piece of glass with an initial temp of 99 degrees Celsius is cooled at a rate of 3.5 degrees Celsius per minute. Concurrently, a piece of copper with an initial temp of 0 degrees Celsius is heated at 2.5 degrees Celsius per minute. Which of the following systems of equations can be used to solve for the temp, T, in degrees Celsius, and the time, m, in minutes, when the glass and copper reach the same temp?

Answers

Answer:

T= 99 - 3.5m

T= 2.5m

Step-by-step explanation:

twice the sum of k and 9 is 4

Answers

Answer:

2(k + 9) = 4

Step-by-step explanation:

Use distributive property.

2 x k = 2k

2 x 9 = 18

Equation:

2k + 18 = 4

Subtract 18 from both sides

2k = -14

Divide both sides by 2

k = -7

Answer:

-7

Step-by-step explanation:

First, we need to write this an equation

2(k+9)=4

2k+18=4

-18       -18

2k=-14

/2      /2

k=-7

Someone please help me!

Answers

-1/4 i think, Y1-Y2/X1 -X2= the slope . -9-3= -12 and -6 - (-9)= -6 +9= 3. So simplify 3/-12 makes -1/4.

When the weight is greater than 15 pounds, the cost will be greater than $10.

Answers

Answer:

muy bien ami si me funciono la pregunta

Leslie says that a temperature of -12 °C is colder than a temperature of -20 C because
1-12 <1-20). Is Leslie correct? Explain why or why not.

Answers

Answer:

Leslie is NOT correct

Step-by-step explanation:

Leslie thinks that the number closer to 0 that's in the negatives it smaller because the number is smaller. But actually, the number farther from 0 that's in the negatives is smaller. So, -12 °C is warmer than -20 °C

I hope this helps!

I need help please ​

Answers

The correct answer is false:) Parallel lines don’t have a solution because they don’t intersect.

Add
to each side x2 - 8x = 9 to complete
the square.

Answers

25.....!!!!!!!&$(;7$;;)

Answer:

the correct answer is 16

Step-by-step explanation:

Add  ⇒ 16 to each side x2 – 8x = 9 to complete the square.

Can yall help me on this? ​

Answers

Answer:

y = 3x - 2

Step-by-step explanation:

Step 1: Look at the "y" axis and see what it is going through (-2)

Step 2: Check if the line if a positive slope or a negative slope (positive)

Step 3: Since we now know this is a positive slope, it cancels out "D" and "A".

Step 4: This would not be B because the rise is "1" and the run is "3"

Final Ansr: "C" because the rise is "3" and the run is "1" with a "-2" y-intercept.

q is the midpoint of segment pr. pq=2x+1 and qr= 3x-5. what is the length of segment pr​

Answers

I’m not positive this is right but try 26. I set 2x+1 and 3x-5 equal to each other and solved for x. I got x=6 then plugged it into both of the equations then added the equations together.

Find 6,650/35. please help me i tried using calculator but it put 0.19

Answers

Answer:

113

i did it in the caculater and this is what showed.

Answer:

That's odd, the actual answer is 6650 / 35 = 190

Good luck! Hope this helped :)

Which is an example of Identity Property of Addition ?
6 + 0 = 6
23+5=5+3
07x1 = 7
O (5+9) + 8 = 5 + (9 + 8)
+

Answers

Answer:

Probably the last one but the numbers are kind of jumbled up so...

Step-by-step explanation:

Have a good day

C- Identity Property is a number multiplied by one so it’s keep its identity
Ex- 3x1=3 , 7x1=7

Find the expected value of the
random variable with the
following probability distribution:
Х
2
3
4
5
6
7
8
9
10
11
12
Р
1/36
1/18
1/12
1/9
5/36
1/6
5/36
1/9
1/12
1/18
1/36
[?]

Answers

Answer:

1/36 hope this helps

Step-by-step explanation:

Marla's brainlist pls

I have 2 questions

Transform the equation.
Stretch y=5x by a factor of 3
What is the transformed equation?

Transform the equation.
Shift y=5√x+5 horizontally, 5 units to the right and a stretch by a factor of 4
What is the transformed equation?

Answers

Answer:

1. I assume that stretching vertically by factor of 2 means that every point on the transformed curve is twice as far from the x axis as the original curve.

Imagine that you have plotted y=5x.  you want to change the y scale so that each point on the original curve is two times as high.  For example, one point on the original curve is (1,5).  This point must be relocated to (1,10).  Similarly, the point (2,10) on the original curve must be relocated to (2,20).

You can see that these relocations are accomplished if we transform the function to y=2(5x)=10x.

Step-by-step explanation:

hope this helps! even though it's just the first one...

What is 230% of 90?
A 207
B 237
C 320
D 227

Answers

Answer:

207 or option a is the answer

Answer:

Option A) [tex]207[/tex]

Step-by-step explanation:

[tex]230\%[/tex] can be written as [tex]\frac{230}{100}[/tex] which is equivalent to the decimal form [tex]2.3[/tex]. The word of indicates that you will need to use the multiplication operation:

[tex]230\%[/tex] of [tex]90 = 2.3\times90[/tex]

[tex]= 207[/tex]

∴ [tex]230\%[/tex] of [tex]90[/tex] is [tex]207[/tex].

Hope this helps :)

You are at a fruit stand to get some fresh produce. You notice that the person in front of you gets 5
apples and 4 pears for 10 dollars. You get 5 apples and 5 pears for 11 dollars. Write a system of
equations that could be used to find the price of an apple and the price of a pear.

Answers

Answer:

[tex]5A + 4P = 10[/tex]

[tex]5A + 5P = 11[/tex]

1 apple costs $1.2

1 pear costs $1

Step-by-step explanation:

Represent Apples with A and Pears with P

For the person in my front, the expression is:

[tex]5A + 4P = 10[/tex]

For me, the expression is

[tex]5A + 5P = 11[/tex]

Hence, the system of equation is:

[tex]5A + 4P = 10[/tex]

[tex]5A + 5P = 11[/tex]

Solving for the values of A and P.

Substract equation (2) from (1)

[tex]5A - 5A + 4P - 5P = 10 - 11[/tex]

[tex]-P = -1[/tex]

[tex]P = 1[/tex]

Hence, 1 pear costs $1

Substitute 1 for P in [tex]5A + 4P = 10[/tex]

[tex]5A + 4 * 1 = 10[/tex]

[tex]5A + 4 = 10[/tex]

[tex]5A = 10 - 4[/tex]

[tex]5A = 6[/tex]

[tex]A = \frac{6}{5}[/tex]

[tex]A = \$1.2[/tex]

Hence, 1 apple costs $1.2

What is 8 times 5 times 6 times 21

Answers

5,040! would be the answer

Answer:

5040

Step-by-step explanation:

multiplying is just repeated addition so this would be the same as adding 8+8 5 times and 21+21 6 times

2 cartons of juice in the month of January. In the month of February, she drank twice as many cartons of juice as in
January. How many cartons of juice did she drink in February?

Answers

Answer:

She drank 4 cartons in February.

Step-by-step explanation:You multiply 2x2 because it doubles.

please help . imagine ^^

Answers

Answer:

A

Step-by-step explanation:

PLEASE MARK BRAINLIEST

A the answer is A, i agree with the person above

please I need help I will mark brainiest

Answers

Answer:

sorry i looked and i tried, but i dont know the answer.

Step-by-step explanation:

Jim wants to put carpet in four identical rooms. Each room is 14 ft by 20.5 ft. A
roll of carpet will cover 200 square feet. How many rolls will he need? *
3 rolls
4 rolls
5 rolls
6 rolls

Answers

Answer: Jim will need 6 rolls

Step-by-step explanation: 14*20.5 is 287 I rounded 287 to 300 and then muttplied 300 by 4 and got 1200 that would be 6 rolls

What is the value of 3/8 divided by 9/10

Answers

Answer:

0.41666666666

Step-by-step explanation:

Answer:

The value is 5/12

Solve this problem.

Don't answer if you don't know. NO IMPROPER ANSWERS.

Answers

Answer: 9.

Step-by-step explanation:  First take 6 and divide it by 2, and then multiply by 3. This gets to the correct answer of 9.

Answer: The answer is 9.

Step-by-step explanation: First I take 6 divided by 2 and then I multiply by 3 to get the correct answer of 9. Or I could show you an equation that looks like this from: 6÷2(1+2) to 3*3=9; therefore, 1 is incorrect answer because it has an order of operations and 9 is the correct answer because it doesn’t have an order of the operations. I hoped this helps you! :D

find the quotient 5/6 divided by 2

Answers

Answer:

0.41666666666

Step-by-step explanation:

I used a calculator.

5/6 / 2
= 5/6 x 1/2
= 5/12
Other Questions
How has my personal experience shaped my view of individualism? Do I see it as a guiding principle, something to be avoided, or a combination of both? Though she wanted to go to the zoo,What is one way to make this a correct sentence? What is the hybridization state on the central N atom in the azide ion, N3? 10 points Four cookies cost $14. At this rate. how much will 10 cookies cost? Based on the story thus far, what do you predict will happen withthe new cat? Explain your prediction based on what you haveread so far. plsss helpppp 6x^2+4x-42 plz put in your own wordswho was john smithp.s. will give branllest if put in on words Why does Mercury have almost no atmosphere?Mercury spins on its axis too fast to have an atmosphere.Radiation from the Sun blows the atmospheric particles off into space.Mercury's gravity is too weak to hold an atmosphere.Mercury orbits the Sun at such high speed that the atmosphere is blown away. what is. m + 0.6 = 2.6 This excerpt illustrates Hardings campaign promise to be a president who would What maintains the stability of the American currency? What are some important things I should put in my notes about ratios(In 6th grade so nothing to high up I wouldn't know about) 100 this time lol sorry about last time The following two-way table shows the responses from a group of people, categorized by age-group, when asked about their favorite types of vacations.Which of the following statements is not supported by the table?1.)More people chose relaxation than any other vacation type.2.)Each vacation type was selected by the same number of people in the under-21 age-group.3.)In the 21 to 35 age-group, nature was chosen by the least number of people.4.)Of all the vacation types, nature was chosen by the least number of people.5.)The percentage of people that chose relaxation was equal for each age-group. Pls help! Which of these authors of the federalists papers wrote about foreign policy?1. John Jay2. None of these 3. Alexander Hamilton 4. James Madison 5. All of these Suppose you buy a 7 percent coupon, 20-year bond today when its first issued. If interest rates suddenly rise to 15 percent, what happens to the value of your bond?a. the price of the bond will fallb. the price of the bond will raise Fill in the blank with the correct answer.Ais a single letter or group of letters attached to the front of a root word. Write each phrase as an expression. 8 increased by a number x Can someone help me with the questions in the picture? M is the midpoint of CB, CM = 3x+1, and MB = 5x9.Determine the value of x.