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S_A_V [24]
3 years ago
12

The volume v of a cylinder is computed using the values 2.2 m for diameter and 6.8 m for height. use the linear approximation to

estimate the maximum error in v if each of these values has a possible error of at most 5% (use decimal notation. give your answer to three decimal places.)
Mathematics
1 answer:
geniusboy [140]3 years ago
4 0

A linear approximation to the error in volume can be written as

... ∆V = (∂V/∂d)·∆d + (∂V/∂h)·∆h

For V=(π/4)·d²·h, this is

... ∆V = 2·(π/4)·d·h·∆d + (π/4)·d²·∆h

Using ∆d = 0.05d and ∆h = 0.05h, this becomes

... ∆V = (π/4)·d²·h·(2·0.05 + 0.05) = 0.15·V

The nominal volume is

... V = (π/4)·d²·h = (π/4)·(2.2 m)²·(6.8 m) = 25.849 m³

Then the maximum error in volume is

... 0.15V = 0.15·25.849 m³ ≈ 3.877 m³

_____

Essentially, the error percentage is multiplied by the exponent of the associated variable. Then these products are added to get the maximum error percentage.

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Cesar has 32 boxes of pasta and 48 jars of sauce that he will be putting into bags for a food drive. He wants each bag to have t
zhannawk [14.2K]

Cesar has 32 boxes of pasta and 48 jars of sauce that he will be putting into bags for a food drive. He wants each bag to have the same amount of pasta and sauce and wants to use all of the items. Use the drop-down menus to complete the statements below about the number of bags Cesar can make.

What is the greatest number of bags Cesar can make and Each bag would have _____ pasta and _____ jars of sauce

Answer:

The greatest number of bags Cesar can make is 16 bags.

Each bag would have 2 pasta and 3 of jars of sauce

Step-by-step explanation:

We solve the above question using Greatest Common Factor method

The factors of 32 are: 1, 2, 4, 8, 16, 32

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Then the greatest common factor is 16.

Hence, the greatest number of bags Cesar can make is 16 bags.

For Pasta, We have 32 pasta

Each bag would have: 32/16

= 2 pasta

For Jars of sauce, we have 48 jars of sauce.= 48/16

= 3 jars of sauce

4 0
3 years ago
What is the solution to the system of equations? HELP
notsponge [240]
I will solve your system by substitution.<span><span>x=<span>−2</span></span>;<span>y=<span><span><span>23</span>x</span>+3</span></span></span>Step: Solve<span>x=<span>−2</span></span>for x:Step: Substitute<span>−2</span>forxin<span><span>y=<span><span><span>23</span>x</span>+3</span></span>:</span><span>y=<span><span><span>23</span>x</span>+3</span></span><span>y=<span><span><span>23</span><span>(<span>−2</span>)</span></span>+3</span></span><span>y=<span>53</span></span>(Simplify both sides of the equation)

Answer:<span><span>x=<span>−<span><span>2<span> and </span></span>y</span></span></span>=<span>5/3
<span>
so the answer is B (the second choice)
(Hope it helped ^_^)




</span></span></span>
4 0
3 years ago
Read 2 more answers
Help?...<br> 1/3(-3) + 13
ra1l [238]

Answer: 12

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
One, no, or infinitely many solutions
rusak2 [61]

Answer:

Only one solution

Step-by-step explanation:

Given:

2c + 4 - 3c = -9 + c + 5

Find:

Number of solution

Computation:

2c + 4 - 3c = -9 + c + 5

-c + 4 = -4 + c

-2c = -8

c = 4

Only one solution

6 0
3 years ago
The perimeter of the tennis court is 228 feet. what are the dimensions of the court?
julsineya [31]
From a reliable source, the ratio between the width and the length of the tennis court is equal to 5:12. We let x be the common factor of the given ratio such that the width is equal to 5x and the length is equal to 12x. 

The perimeter of the figure is calculated through the equation,
              P = 2L + 2W
where P is the perimeter, L is the length, and W is the width. 

Substituting the derived expressions to the equation above.

             228 = (2)(12x) + 2(5x)
                x = 114/17
The width and length are calculated below.
     Width = (5)(114/17) = 570/17 ft = 33.53 ft
     Length = (12)(114/17) = 1368/17 ft = 80.47 ft

Thus, the dimensions are approximately 33.53 ft and 80.47 ft. 
7 0
3 years ago
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