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Nutka1998 [239]
4 years ago
15

What does it mean for the ratio of surface area to volume to be small or large? Which ratios are better economically?

Mathematics
2 answers:
den301095 [7]4 years ago
8 0

I small ratio would mean it's a small difference like 60:62 would be a small ratio a big ratio might be like 2:14 do you understand how it works now?

ValentinkaMS [17]4 years ago
3 0
The goal is to get the volume as large as possible while the surface area is made as small as possible. Why? Because the volume is the amount of stuff you can hold and the surface area is the amount of material to make the container.

Consider an example of making a cup. The inside portion is the amount the cup can hold. The more liquid, the better. The cup makers want to use as little material as possible so that they reduce costs. If the cup makers produce a cup that has volume of 10 cubic inches and uses 10 square inches of material, then the surface area to volume ratio is 10:10 which reduces to 1:1. A more efficient cup is made if that same volume (10 cubic inches) can be made for less material say 5 square inches to make the ratio now 5:10 which reduces to 1:2. 

So in summary, reducing the surface area to volume ratio will make more sense economically as the company makes more money while reducing costs (therefore increasing overall profit)
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an inverted cone has a height of 11 inches and an initial radius of 18 inches. the volume of the inverted cone is decreasing at
joja [24]

Radius of cone is decreasing at the rate of \frac{1623}{110\pi} inches

What is rate of change?

Suppose there is a function and there are two quantities. If one quantity of a function changes, the rate at which other quantity of the function changes is called rate of change of a function.

Here rate of change of radius of cone has been calculated

Radius of cone  = 18 inches

Height of cone = 11 inches

Volume of cone (V) = \frac{1}{3} \pi r^2h

\frac{dV}{dt} = \frac{1}{3} \pi h (2r\frac{dr}{dt})\\-541 = \frac{2}{3} \pi \times 11\times 5\times\frac{dr}{dt}\\\frac{dr}{dt} = -\frac{541 \times 3}{2 \times \pi \times 11 \times 5}\\\frac{dr}{dt} = -\frac{1623}{110  \pi}

Radius of cone is decreasing at the rate of \frac{1623}{110\pi} inches

To learn more about rate of change, refer to the link-

brainly.com/question/24313700

#SPJ4

5 0
2 years ago
2. A fish tank is shaped like a rectangular prism. 1 2 square feet. The area of the base of the fish tank is 6 The height of the
Assoli18 [71]

Answer:

A. Makes the most sense. If you are using multiplication you'd get 18 1/16

Step-by-step explanation:

4 0
2 years ago
According to data on the website for the Centers for Disease Control and Prevention (CDC), 35% of American adults were obese in
Serggg [28]

Answer: 2.2464 × 10^8

Step-by-step explanation:

Percentage of obese Americans in 2011 - 2012 = 35%

Percentage of Americans who are adult = 72%

United States population estimate = 312 million

Adult = age 20 and above

Number of adult Americans (age 20 and above) :

72% of the total united states estimated population

72% of 312,000,000

72/100 × 312,000,000

0.72 × 312,000,000

= 224,640,000

Hence, estimated Adult American population (age 20 and above) = 224,640,000

2.2464 × 10^8

7 0
3 years ago
What is the solution to the system of equations? Use the substitution method. {y=2x+43x−6y=3 Enter your answer in the boxes
UNO [17]

Answer:

the solution is (-3, -2)

Step-by-step explanation:

Please, separate your equations with a (;) or a (.).  Better yet, write only one equation per line:

y=2x+4

3x−6y=3

Substitute 2x + 4 for y in the second equation:

3x - 6(2x + 4) = 3, or

3x - 12x - 24 = 3

Combining like terms, we get -9x = 27, and so x = -27/9, or x = -3.

Since we know that y=2x+4, we replace x in this equation with -3 and calculate y:

y = 2(-3) + 4 = -2

Then the solution is (-3, -2).

6 0
3 years ago
Write an equation in standard firm using integers y-4=5(x-8)
diamong [38]
I would say its y=5x-36
3 0
3 years ago
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