A rectangular building with a square base is being designed to minimize heat loss. The building designers state that the volume of the building must be exactly 4000 m^3. Write an equation for y, the height of the building, in terms of x, the length and width of the base.

Answers

Answer 1

Answer:

y = 4000/x²

Step-by-step explanation:

The volume of the building is expressed as;

V = x²y where;

x is the length and width of the base.

y is the height of the building

Given

Volume V = 4000m³

Substitute the given volume into the equation as shown;

4000 = x²y

Make y the subject of the formula by dividing both sides by x²

4000/x² = x²y/x²

4000/x² = y

Rearrange

y = 4000/x²

Hence equation for y, the height of the building, in terms of x, the length and width of the base is expressed as y = 4000/x²


Related Questions

What is the y coordinate of the solution

Answers

Answer:

8

Explanation:

3x-7=x^2-7x+18

X= 5

Y=3(5)-7 aka 15-7

=8

solve x 3+3(x+2)=-24​

Answers

Answer: x =5

Step-by-step explanation:

[tex]x + 3 + 3(x + 2) = - 24[/tex]

[tex]x + 3 + 3x + 6 = - 24[/tex]

[tex]4x + 9 = - 24[/tex]

[tex]4x = - 24 - 9[/tex]

[tex]4x = - 33[/tex]

[tex]x = \frac{ - 33}{4} [/tex]

−6x + 6y = 6 −6x + 3y = −12

Answers

Answer:

x = 0

y = 2

Step-by-step explanation:

−6x + 6y = 6 −6x + 3y = −12

-6x+6x+6y-3y = 6

3y = 6

y = 2

checking:

6-6x+3.2 = -12

6-6x+6 = -12

12-6x = 12

x = 0

checking 2:

since x = 0 we ignore it and its multipliers from the equation:

6y=6+3y = 12

6.2 = 12 (check)

6+3.2 = 12

6+6 = 12 (check)

In his bank account, Jean-Paul has a balance of $0.00
His friend Albert has a bank balance of -$11.10
Which friend's bank account has more debt?


Choose 1 answer:

A. Jean-Paul

B. Albert


Which friend's bank balance has a greater absolute value?

Choose 1 answer:

A. Jean-Paul

B. Albert

Answers

Hey Hey

Answer 1: Jean-Paul (A)
Answer 2: Albert (B)

Hope this helps <3

Answer 1 A
Answer 2 B

00:00 A truck can carry up to 2,000 pounds. The truck is carrying 1,600 pounds divided equally among 8 crates. What is the weight of each crate? Enter your answer in the box. pounds​

Answers

each crate is 200 lbs

work:
1600/8=200

Answer the question for brainliest.
(Simplify Please)

Answers

[tex]1 \frac{2}{5} m - \frac{3}{5} ( \frac{2}{3} m + 1)[/tex]

[tex]\frac{7}{5} m - \frac{6}{15} m - \frac{3}{5} [/tex]

[tex] \frac{21}{15} m - \frac{6}{15} m - \frac{3}{5} [/tex]

[tex]( \frac{(21 - 6)m}{15} ) - \frac{3}{5} [/tex]

[tex] \frac{15}{15} m - \frac{3}{5} [/tex]

[tex]1m - \frac{3}{5} [/tex]

[tex]m - \frac{3}{5} [/tex]

hi my question is what is 72x13​

Answers

936 is the answer :)))))))))))

Answer:

936

7 2

×  1 3

2  

2 1 6

7 2 0

9 3 6

Brainleist?

What number is equivalent to 15 and 25

Answers

Answer:

yo are you talking about like absolute value?  then it's  | -15 | and | -25 |

Step-by-step explanation:

translate this sentence to an equation
38 is the product of Malik's score and 2. Use the variable m to represent Malik's score.​

Answers

Answer:

Step-by-step explanation:

m * 2 = 38

Equation: 2m = 38

Solution:

2m = 38

 m = 38/2

m = 19

Malik's score = 19

Answer:

Given :-

38 is the product of Malik's score and 2. Use the variable m to represent Malik's score

To Find :-

Marks scored by Malik

Solution :-

The equation will be

[tex] \frak{2m = 38}[/tex]

Total marks

[tex] \tt \: m \: = \dfrac{38}{2} [/tex]

[tex] \tt \: m \: = 19[/tex]

The marks scored by Malik is 19

18:
A line has a slope of -4 and includes the points (-10,10) and (-7,k). What is the
value for k?
k=
19:
the point (3,4) lies on the graph of the equation 3y=ax+7, then the value of a is
Note: Use slash (/) to separate the numerator and denominator.
200:
Consider a sequence whose first five terms are: -1.75,-0.5,0.75,2,3.25
Which function (with domain all integers n21) could be used to define and continue this
sequence?
A f(n)=7/4(n-1)-5/4
B f(n)=5/4(n-1)-7/4
C f(n)=(7/4)n-5/4
D f(n)=(5/4)n-7/4

Need help with 18-20 plz help I put a picture there to I really need these ASAP

Answers

18 - K= -22
19- a = 5/3

Michelle is planting flowers in her garden. She wants the ratio of daisies to carnations to be 3 to 2. Michelle wants to plant a total of 30 flowers. How many daisies should she plant?

Answers

She should plant 18 daisies and 12 carnations.

Steps:

Divide 30 by 5 because 3+2 is 5

The answer is 6

The proportion for daisy is 3 so multiply 3 by 6 which is 18

For carnations multiply 2 by 6

Answer:

18 Daisies and 12 Carnations

Step-by-step explanation:

The total amount of flowers adds to be 30 therefore the amount of daises plus the amount of carnations should equal 30 (d+c=30). Then your ratio of daises to carnations is 3 to 2. Which means that you are going to have three daisies for every 2 carnations.

how many solutions are there to the equation below
6x+30+4x=10(x+3)
a)0
b) infinitely many
c) one​

Answers

Answer:

b) infinitely many

hope it helps

Two liabraries donated to a local school. One library donated 786 books and the other library donated 1245 books. The school divided the books evenly among 11 classrooms. Estimate the number of books each classroom received. Check if the answer is reasonable.

Answers

each classroom has received 184 & 8 books are being left

True or False: The commutative property allows you to change the order of an addition problem and division problem.
<333

Answers

Answer:

True!!

Step-by-step explanation:

The commutative, associative, and distributive properties help you rewrite a complicated algebraic expression into one that is easier to deal with. When you rewrite an expression by a commutative property, you change the order of the numbers being added or multiplied.

Hope this helps!! Please consider marking brainliest! Have a good one!!

Can someone answer this I would really appreciate it thanks :)

Answers

Answer:

Y = 130

X = 20

Z = 110

Answer:

y= 130 degrees  x= 20 degrees  z= 110 degrees

Step-by-step explanation:

I solved top left triangle first. So, we know all triangles add up to 180 degrees and we have two on the angles so 85 + 45 = 130 then 180 - 130 = 50 so the missing angle near y is 50. Now to figure out Y then you just subract your answer (50)  from 180 which you get 130. So y is 130 degrees. Then to figure out X, you just do 180 - 130 = 50, 50 - 30 = 20, so x is equal to 20 degrees. Then lastly to figure out z we know that the missing angle is 50 because its vertical to the other 50 degree so now you do 180 - 20 = 160, 160 - 50 = 110 degrees.

which of the following is an irrational number?​

Answers

Answer:

B

Step-by-step explanation:

The other choices are terminal numbers which makes them rational numbers but square root of 19 is an irrational number because square root of 19 is 4.3588989.... This makes it an irrational number since it's just random numbers after the decimal point.

B-because the square root of 19,the numbers after the decimal keep going .

what does nonlinear mean?

Answers

It’s not linear




............

Answer:

Not denoting, involving, or arranged in a straight line.

Step-by-step explanation:

I looked it uo on google

im not SmArT

what word problem would fit for 7x+10=-3x-2

Answers

Answer:

A number is multiplied by 7 and the added to 10 and it is equal to when -3 is multiplied by the same number and then 2 is taken away. Find the number.

Step-by-step explanation:

interpretation: 7x+10=-3x-2

A bag contains exactly three red marbles, five yellow marbles and two blue marbles. If three marbles are drawn from the bag without replacement, what is the probability that all three will be the same color? Express your answer as a common fraction

Answers

Answer:

11/120

Step-by-step explanation:

Red = 3Yellow = 5Blue = 2

Possible options would be red or yellow as only two blue marbles.

Probability of 3 red:

3/10*2/9*1/8 = 1/120

Probability of 3 yellow:

5/10*4/9*3/8 = 1/12

Probability of same three is:

1/120 + 1/12 = 11/120



Vanya collects vintage albums. Each storage unit holds 16 albums. She gave 3 albums to her cousin as a graduation present. Which function shows the relationship between y, the
total number of albums she has remaining, and x, the number of storage units Vanya owns?

A. Y=16x
B. Y=16x+3
C. Y=13x
D. Y=16x-3

Answers

Answer:

Step-by-step explanation: do y’all know answer

Answer:

d

Step-by-step explanation:

A parabola can be drawn given a focus of (-4, -5) and a directrix of y=3. Write the equation of the parabola in any form.

Answers

Answer:

The equation of the parabola is (x + 4)² = -16(y + 1)

Step-by-step explanation:

The standard form of the equation of the parabola is (x - h)²  = 4p(y - k), where

The vertex of the parabola is (h, k)The focus is (h, k + p)The directrix is at y = k - p  

∵ The focus at (-4, -5)

h = -4

∴ k + p = -5 ⇒ (1)

∵ The directrix at y = 3

∴ k - p = 3 ⇒ (2)

→ Add equations (1) and (2) to find k

∴ 2k = -2

→ Divide both sides by 2 to find k

k = -1

→ Substitute it in equation (1) to find p

∵  -1 + p = -5

→ Add both sides by 1

∴ -1 + 1 + p = -5 + 1

p = -4

→ Substitute the values of h, k, and p in the formula above

∵ (x - -4)² = 4(-4)(y - -1)

∴ (x + 4)² = -16(y + 1)

The equation of the parabola is (x + 4)² = -16(y + 1)

Help asap i will do brainlist and everything

Answers

Answer:

the picture isnt showing

-6 + (-3) - (-2) =
A. 11
B. 7
C. -7
D. -11​

Answers

Answer:

C. -7

Step-by-step explanation:

Answer:

C. -7

Step by step explanation:

-6+(-3)-(-2) When there is a in front of an expression in parentheses, the expression remains the same and when there is a in front of an expression in parentheses, change the sign of each term in the expression
-6-3+2= -7

WA store manager records the number of people who have been in his store compared to the number of hours the store has been open. He graphs the data on the scatterplot below and sketches a trend line.

Store Customers

A graph has hours open on the x-axis, and total customers on the y-axis. A trend line goes through points (1, 25) and (2, 50).

Based on the data collected, if the store has been open 7 hours, which scenario is most likely to be true?
After 1/2 hour, 1 customer had been in the store.
After 6 hours, 129 customers had been in the store.
After 7 hours, 175 customers had been in the store.
After 8.5 hours, 225 customers had been in the store.

Answers

Answer: After 7 hours, 175 customers had been in the store.

Step-by-step explanation:

Did the quiz, Trust me.

Answer:

ccccccccc!

Step-by-step explanation:

a bow bear could watch 44 in 4 seconds at this rate how far can a brown bear run in 20 seconds​

Answers

Answer:

111 is a great place to be your friend

Step-by-step explanation:

I am not it to 3rd or 3rd to be friends

Answer:

220

Step-by-step explanation:

44 divided by 4 = 11

11 times 20 = 220 so that's the answer

BRAINLIEST PLEASE

What is the K for this story Problem? John bought 27 baseball cards for $9. How many baseball cards can he buy with $84?

Answers

Answer:

210

Step-by-step explanation:

9 divided by 27 = .33333 = .4

you would divide 9 by 27 because if you did 27 divided by 9 he would only have 3 cards

84 divided by .4 = 210

which matrix represents the system of equations shown below ? 4x-2y=5 5x- y=8

Answers

4 -2   5

5 -1    8

this is what it showed in brackets as the correct answer.

The matrix that represents the system of equations 4x-2y=5 and 5x- y=8  is [tex]\left[\begin{array}{cc}4&-2\\5&1\end{array}\right] \left[\begin{array}{c}5&8\end{array}\right][/tex]

How to determine the matrix?

The system of equations is given as:

4x-2y=5

5x- y=8

Remove the variables

x     y  

4    -2    5

5    -1    8

Represent as a matrix

[tex]\left[\begin{array}{cc}4&-2\\5&1\end{array}\right] \left[\begin{array}{c}5&8\end{array}\right][/tex]

Read more about matrix at:

https://brainly.com/question/1821869

#SPJ2

Which expression can be used to find The amount of money for camp leader spends on b books

Answers

Answer:

Part A: A. 7.50 x b

Part B: $90

Step-by-step explanation:

Part A: The cost of a book is $7.50, so the equation that is going to tell you the total cost of however many books purchased is equation A.

Part B: $90. If the cost of a book is $7.50 and the teacher purchases 12 books, you do $7.50 x 12= $90. You can check the equation by adding $7.50 12 times. You will get the same result.

what is the greatest common factor of 3/5

Answers

Answer:

15

Step-by-step explanation:

3 × 5 = 15

Hope this helped <3

the answer is 3/5.. like i’m not joking

HELP ME PLEASEEEEEE​

Answers

Answer:

The measure for angle 1 is 102 degrees. They would be interior angles because they add up to be 180 degrees.

Step-by-step explanation:

Hope this helps!! Please mark me brainliest!!

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