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kramer
3 years ago
7

Use Lagrange multipliers to solve the following exercise. A home improvement contractor is painting the walls and ceiling of a r

ectangular room. The volume of the room is 18042.75 cubic ft. The cost of wall paint is $0.06 per square foot and the cost of ceiling paint is $0.11 per square foot. Find the room dimensions that result in a minimum cost for the paint.
Mathematics
1 answer:
mash [69]3 years ago
5 0

Answer:

Let the width of the garden =x meter

Then length=(x+4) meter

Half perimeter =36 m

So perimeter of garden =(2×36)=72 meters

According to the question

⇒2(l+b)=72

⇒2(x+x+4)=72

⇒2x+2x+4=74⇒4x=64⇒x=16 meters

Hence,the width of the garden =16 meters

The length of the garden =(16+4)=20 meters

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The Spanish version of Michelle Obama's book,
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359 is the correct answer for the English one I think
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2 years ago
-(1+7x)-6(-7-x)=36 what is x equal to
Katyanochek1 [597]

Answer:

x = 5

Step-by-step explanation:

Step 1: Write equation

-(1 + 7x) - 6(-7 - x) = 36

Step 2: Solve for <em>x</em>

  1. Distribute: -1 - 7x + 42 + 6x = 36
  2. Combine like terms: -x + 41 = 36
  3. Subtract 41 on both sides: -x = -5
  4. Divide both sides: x = 5

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

-(1 + 7(5)) - 6(-7 - 5) = 36

-(1 + 35) - 6(-12) = 36

-(36) + 72 = 36

-36 + 72 = 36

36 = 36

5 0
3 years ago
Find the missing probability.<br><br> P(A)=13/20,P(A∩B)=13/25,P(B|A)=?
Tju [1.3M]

By definition of conditional probability,

P(B | A) = P(A ∩ B)/P(A) = (13/25) / (13/20) = 20/25 = 4/5

4 0
3 years ago
your credit score is based on various aspects of your financial situation which of the following is not a factor that contribute
Amanda [17]

Answer:

C

Step-by-step explanation:

Credit Score is a numerical expression which analyzes a person's credit level by looking at this financial conditions. Will he/she be worthy of loan or not.

payment history comprises 35% of a person's credit score. This is a huge factor. If you consistently make your payments on time, your credit score increases.

length of credit history tells how secure you will be to lenders. Usually 7 years+ is a great length of credit history. This pretty much affects credit score.

marital status doesn't affect credit score. Lenders assess a person based on their financial condition and past activity, NOT whether or not he/she is married or not. That's personal agenda.

debt ratio is the ratio of total debt to total assets. If this is high, it means a person owes money to banks/individuals and is more likely to be not given credit. It affects credit score highly.

THus, the correct answer is C

3 0
3 years ago
Read 2 more answers
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