Answers
Answer: X=5
Step-by-step explanation: Because if you subtract 10-(-5) it = 5
Related Questions
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.)
Answers
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
Find the missing number so that the equation has no solutions.
3x - 10 = blank x + 11, please answer fast.
Answers
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!
Answers
Answer:
I believe it's $8.44 hope this helps
Cual es la constante de proporcionalidad de 1/2 ?
Answers
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.
What is the solution and answer of this question:
3 log 10 + 9 log 10
Answers
Answer:
12
Step-by-step explanation:
the answer is 12 ndndbdbdndnfnnfnfnfnfnfnfnfnfn
If you were to solve the following system of equations by using a matrix,
which of the following would be your coefficient matrix?
4x – 3y=7
x + 5y=13
Answers
Answer:
I believe it is C but it's good to double check
Step-by-step explanation:
Answer:
Step-by-step explanation:
b
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
Answers
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
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
Answers
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,
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.
Answers
- 7^3 = - (7^3) = -343
As can be seen, the results are very different.
Jorge has a standard deck of 52 cards and a six-sided number cube. What is the probability that he will draw a diamond from the deck of cards and roll a number greater than two? Write your answer as a simplified
Answers
The probability that Jorge draw a diamond from the deck of cards and roll a number greater than two is 2/39
Probability is the like likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome
If Jorge has a standard deck of 52 cards, the total outcome is 6
If Jorge draw a diamond card, the probability that he will draw a diamond card is 4/52 = 1/13
For a six-sided cube, the total outcome is 6. If he rolls a number greater than two, the expected outcome will be 4
The probability that he rolls a number greater than 2 is 4/6 = 2/3
The probability that Jorge draw a diamond from the deck of cards and roll a number greater than two is 1/13 * 2/3 = 2/39
Learn more here: https://brainly.com/question/15739237
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
Answers
Answer:
Video game- 25
Bike riding - 18
Subtract them and you will get the answer.
= 7
Suppose that 18 inches of wire costs 72 cents.
At the same rate, how much in cents) will 41 inches of wire cost?
Answers
You divide the amount of wire by cost, and multiply that by 41
Answer:
1.61
Step-by-step explanation:
72/18 = 4cents per inch
4*41 = 161
1.61$
Paul is riding his bike 48 miles to the beach. His average rate of speed is 13.8 miles per hour. Paul stopped for a snack after 3 hours. How many miles does he have to go after his snack? Round your answer to the nearest tenth if necessary.
Paul has 3.5 miles to go after his snack.
Paul has 6.6 miles to go after his snack.
Paul has 34.2 miles to go after his snack.
Paul has 45.0 miles to go after his snack.
Answers
Answer:
Paul has 6.6 miles to go after his snack.
Step-by-step explanation:
Speed is the rate of moving. The speed can be calculated by dividing the distance traveled by the amount of time it took.
speed= distance/time , v=d/t
So,from Paul's average speed we can calculate how much distance he has passed after 3 hours.
distance_3h=v*t=13.8 miles per hour * 3 hours
distance_3h=41.4 miles
There are total 48 miles to the beach, so Paul have to go 48miles-distance_3h after his snack, which gives:
48-41.4=6.6 miles
Which of these tables represents a function??
Answers
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
which is bigger? 36.2 or 36.12
which is bigger? 9.18 or 9.19
which is bigger? 7.6 or 7.60
Answers
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
Find the measures of the interior angles.
what is angle a, b, and c
Answers
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]
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.
Answers
Answer:
The answer is 15x + 175 = 9x + 329.
Step-by-step explanation:
Hope this helps!
92x76cx8466cx7576
help
Answers
Answer: guy are you ok
Step-by-step explanation:
Answer:
yea im with cedgerton61
Step-by-step explanation:
Need some advice Please help me!!! also enjoy these points
Answers
Answer:
what type of help......
Solve 48x - 30 = 30 + 78x
Answers
Two angles are supplementary. One of them is 18 more than 6 times the other. How large is the larger angle?
Answers
Answer:
im think its 24
Step-by-step explanation:
18+6
Explanation:
x = smaller angle
6x + 18 = larger angle
Supplementary angles add up to 180 degrees.
x + 6x + 18 = 180
7x + 18 = 180
7x = 162
x = 23.1429
x = 23.14 degrees
X can be substituted into the other expression to find the larger angle.
6(23.14) + 18
138.84 + 18
156.84 degrees
To check, add the two angles to make sure the sum is 180 degrees.
23.14 + 156.84 = 180
179.98 = 180
^^^ the numbers don’t exactly match because of the rounding I did. the solutions are correct
please help! i need i misses 2 lessons
Answers
Answer:
just add 1/6 and 2/3 to 650
Step-by-step explanation:
Evaluate the expression when x= -7. x²+4x-3
Answers
-7^2+4(-7)-3
49+(-28)-3
21-3
18
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.
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)
Answers
Determine a series of transformations that would map polygon ABCDE onto polygon A’B’C’D’E’?
Answers
Answer:
1. reflection over y axis
2. dilation over the origin with scale factor of 3
Step-by-step explanation:
1. reflection about y axis
2. dilation over the origin (0,0) with scale factor of 3
If x varies inversely as y, which statement is true?
Answers
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.
please solve fast it's urgent
Answers
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
Bill has two dollars and 2 cents. How much money does he have?
Answers
Answer:
He has $2.02
Step-by-step explanation:
You answered the question in the first sentance.
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
Answers
Answer:
filedownload.ashx
write the equation
it passes through (-5,-7) and (-5,7)
Answers
Answer:
x = -5
Step-by-step explanation:
Find the gradient:
m = change in y ÷ change in xm = (7 - -7) ÷ (-5 - -5)m = 14 ÷ 0m = 0 - There is no gradient, and it is a vertical lineThe equation is x = -5, because in both co-ordinate pairs, the x is -5 - only the y changes
Hope this helps!