Answer: 90millionhajk
Step-by-step explanation:
A container manufacturing company was contracted to design and manufacture cylindrical cans for fruit juice. The volume of each can needs to be 0.946 liters. In order to minimize production costs, the company wishes to design cans that require the smallest amount of material possible. (This means that you need to design a can with volume=.946 liters and the smallest possible surface area. Explain the relationship between the surface area and the amount of material.)
The volume of the cylinder is the amount of fruit juice it can contain.
The relationship between the volume and the surface area is:
[tex]\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}[/tex]
The given parameter is:
[tex]\mathbf{V = 0.946}[/tex]
The volume of a cylinder is calculated as:
[tex]\mathbf{V = \pi r^2 h}[/tex]
Make h the subject
[tex]\mathbf{h = \frac{V}{ \pi r^2}}[/tex]
The surface area (A) of a cylinder is:
[tex]\mathbf{A = \pi r^2 + \pi rh}[/tex]
Substitute [tex]\mathbf{h = \frac{V}{ \pi r^2}}[/tex]
[tex]\mathbf{A = \pi r^2 + \pi r \times \frac{V}{\pi r^2}}[/tex]
[tex]\mathbf{A = \pi r^2 + \frac{V}{r}}[/tex]
Differentiate
[tex]\mathbf{A' = 2\pi r - Vr^{-2}}[/tex]
Set to 0
[tex]\mathbf{2\pi r - Vr^{-2} = 0}[/tex]
Rewrite as:
[tex]\mathbf{ 2\pi r = Vr^{-2}}[/tex]
Multiply through by r^2
[tex]\mathbf{ 2\pi r^3 = V}[/tex]
Solve for r
[tex]\mathbf{r = \sqrt[3]{\frac{V}{2\pi}}}[/tex]
[tex]\mathbf{A = \pi r^2 + \frac{0.946}{r}}[/tex]
So, we have:
[tex]\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}[/tex]
Hence, the relationship between the volume and the surface area is:
[tex]\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}[/tex]
Read more about surface areas and volumes at:
https://brainly.com/question/3628550
Suppose that 18 inches of wire costs 72 cents.
At the same rate, how much in cents) will 41 inches of wire cost?
Answer:
1.61
Step-by-step explanation:
72/18 = 4cents per inch
4*41 = 161
1.61$
What is the best description of the relation?
Answer:
The relation is not a function.
Step-by-step explanation:
A function is a relation in which no two ordered pairs have the same input and different outputs. Whenever you're trying to determine whether a given relation is a function, observe whether each input corresponds with exactly one output.
In this case, the answer is no. The input value of 10 corresponds with two output values, 4 and 20. It only takes one input value to associate with more than one output value to be invalid as a function.
Therefore, the given relation is not a function.
Do the following: Ayie says that 7-³ is the same as – 7³. Write an explanation of how Ayie should interpret 7-³, then show her how each expression results in a different value.
Solve 48x - 30 = 30 + 78x
Two angles are supplementary. One of them is 18 more than 6 times the other. How large is the larger angle?
Answer:
im think its 24
Step-by-step explanation:
18+6
Find the missing number so that the equation has no solutions.
3x - 10 = blank x + 11, please answer fast.
Answer:
9x
Step-by-step explanation:
The regular price of a baseball hat is $14.45. If Carlos buys the baseball hat on sale for 20% off the regular price, how much change will he receive after paying with $20? No links!
Answer:
I believe it's $8.44 hope this helps
Cual es la constante de proporcionalidad de 1/2 ?
Answer:
Therefore, the relationship given in the table is proportional. When we look at the above table when x gets increased, y also gets increased, so it is direct proportion. Substitute 2 for x and 1 for y. So, the constant of proportionality is 1/2.
which is bigger? 36.2 or 36.12
which is bigger? 9.18 or 9.19
which is bigger? 7.6 or 7.60
Answer:
36.20
9.19
7.6 and 7.60 are the same number
Step-by-step explanation:
which is bigger? 36.2 or 36.12 ------ 36.2 is bigger
which is bigger? 9.18 or 9.19 ---------- 9.19 is bigger
which is bigger? 7.6 or 7.60 ---------- 7.6 and 7.60 are the same
Janice is considering two restaurants for a party. The first restaurant charges $15 per person plus a flat rate of $175 to reserve a party room. The second restaurant charges $9 per person plus a flat rate of $329. Select an equation that shows the total charge from the two restaurants is the same. Let x be the number of people.
Answer:
The answer is 15x + 175 = 9x + 329.
Step-by-step explanation:
Hope this helps!
please solve fast it's urgent
Answer:
∅=30°
Step-by-step explanation:
[tex]sin[/tex]∅[tex]=\frac{1}{\sqrt{3} }sin60^{0}[/tex]
sin∅=[tex]\frac{\frac{\sqrt{3} }{2} }{\sqrt{3} } =\frac{\sqrt{3} }{2\sqrt{3} }=\frac{1}{2}[/tex]
∅=[tex]sin^{-1}(\frac{1}{2})= 30^{0}[/tex]
I hope this help you
Carmel draws a plan of her school using a scale of 1 cm to 5 m.
On the plan, the playground is 6 cm long.
What is the real length of the playground?
Answer:
30m
Step-by-step explanation:
If 1=5
Then
6=?
6÷1×5=30m
please help! i need i misses 2 lessons
Answer:
just add 1/6 and 2/3 to 650
Step-by-step explanation:
Question 1 of 5 Use properties to evaluate (-15: 7), . O A. 5 2 5 O B. - O c. الا لا 2 OD. الا) SUBMIT
Answer:
Step-by-step explanation:
pues supongo que tuviste que traducirlo y no te sirvio de nada la respuesta pero no se nada B 5-8 esa creo yo la verdad
Need some advice Please help me!!! also enjoy these points
Answer:
what type of help......
92x76cx8466cx7576
help
Answer: guy are you ok
Step-by-step explanation:
Answer:
yea im with cedgerton61
Step-by-step explanation:
بلاد سركوليشن سيستم
What is the solution and answer of this question:
3 log 10 + 9 log 10
Answer:
12
Step-by-step explanation:
the answer is 12 ndndbdbdndnfnnfnfnfnfnfnfnfnfn
Evaluate the expression when x= -7. x²+4x-3
49+(-29)-3.Answer:
The answer is -80
Step-by-step explanation:
1. What I did first was plug in -7 into "x", so then your expression is[tex](-7^{2} )+4*(-7)-3[/tex]
2. Then you multiply 7 two times and get - 49... So then you have -49+4(-7)-3
3. Then you multiply the 4 and -7 and get -29... So now you have -49+(-29)-3
4. Then you add -49 and -29. but keep the negative and get -77... so now you have -77-3
5. Then you add -77-3 but keep the negetive and get -80.
I hope this helps... have a wonderful day.
Which of these tables represents a function??
Answer:
The first table
Step-by-step explanation:
You have to make sure that x is unique throughout.
First Table: the inputs are 2, 4, 6, 7
each input value is different or unique
Second Table: input values are 3, 5, 3, 5
three and five repeat themselves, so there is not a function
Third Table: input values are -2, 0, 1, -2
negative 2 repeats itself so it is not unique
HELP PLEASE THIS IS DUE TOMORROW 1. Mr. Connors drives his car 11 miles each day to and from work. Is the distance Mr. Connors drives commuting to work proportional to the number of days he works? How do you know?
Answer:
short answer Yes and No
Step-by-step explanation:
long answer
let's say he drives to and from work 5 days a week that's 110 hours driving to and from work. But let's say he only drives to work and from work 2 days a week that only 44 hours driving to and from work. But now let's say he only drives 2 days a week but has to keep driving to and back from work because he forgets something at his house or at work and say he hasto drive and extra 77 hours because he forgot something that's now 99 hours he drove to and from work but only worked 2 days out of the week
Hope this helped :)
Bill has two dollars and 2 cents. How much money does he have?
Answer:
He has $2.02
Step-by-step explanation:
You answered the question in the first sentance.
Select the equation that contains the points, (-2,-2) and (4, 10).
O y+6=-2(x+1)
O y+2 = 6(x+6)
O None of the other answers are correct
O y-6= 2(x-2)
O y-6=-2(x - 2)
Which of the following best describes the number shown below?
0.535353...
A.
rational
B.
irrational
C.
both rational and irrational
D.
neither rational nor irrational
Answer:
irrational
Step-by-step explanation:
irrational. An irration number can not be expressed as a fraction or a decimal. This can not because this number goes on forever and it will never end, and you can write a never ending number as a fraction or a decimal. here is a tip to remember if a number never end like pi then it is irrational,
If x varies inversely as y, which statement is true?
Answer: The Inverse variation
Step-by-step explanation:
The phrase “ y varies inversely as x” or “ y is inversely proportional to x” means that as x gets bigger, y gets smaller, or vice versa. This concept is translated in two ways. yx = k for some constant k, called the constant of proportionality.
Five hundred students were surveyed about their favorite activity. The results are shown in the table.ActivityPercent of StudentsVideo Games25Hiking22Reading19Bike Riding18Movies16How many more students prefer playing video games to bike riding?studentsListen to the complete questionTools are not currently accessible
Answer:
Video game- 25
Bike riding - 18
Subtract them and you will get the answer.
= 7
Leo bought 6 glasses and 6 mugs. Leo knows that he was charged $3.99 for
each
mug
and that the total bill before tax was $65.88. Write and solve an
equation to determine how much Leo was charged for each glass
Answer:
filedownload.ashx
Find the measures of the interior angles.
what is angle a, b, and c
Using angle sum property
[tex]\\ \sf\longmapsto x+90+30=180[/tex]
[tex]\\ \sf\longmapsto x+120=180[/tex]
[tex]\\ \sf\longmapsto x=180-120[/tex]
[tex]\\ \sf\longmapsto x=60[/tex]
Holly is displaying a postcard collection on a bulletin board that is 35 3/4 inches wide. Each postcard is 5 7/8 inches wide. Holly estimates that the number of postcards she can display in each row is 7. Is this the best estimate Explain
100 POINTS AND BRAINLIEST
Answer:
Yes.
Step-by-step explanation:
By looking at the numbers of 35 3/4 inches and 5 7/8 inches, you already know that 35 ÷ 5 is 7. Holly might need extra space in between the postcards, which is perfect since she has the leftover fractions, that equal more than 1.
-kiniwih426
Length of board=35 3/4=143/4in
Length of postcard=5 7/8=47/8in
Total postcards
. [tex]\\ \sf\longmapsto \dfrac{143}{8}\div \dfrac{47}{8}[/tex]
[tex]\\ \sf\longmapsto \dfrac{143}{8}\times \dfrac{8}{47}[/tex]
[tex]\\ \sf\longmapsto \dfrac{143}{47}[/tex]
[tex]\\ \sf\longmapsto 3(Approx)[/tex]
No not best estimated option