2. When shipping ice cream, melting is understandably a big concern. You will notice that ice cream is not generally packaged in a cube-shaped container. A standard container of ice cream contains 1 L, or 1000 cm3 of ice cream, a) What would be the optimal dimensions (radius and height) to minimize surface area? B) What would the surface area be? C) Suggest at least two reasons why this is different from the ice cream packaging that you see in the stores.

Answers

Answer 1

Answer:

a) 10:10:10

b)[tex]A_s=600m^2[/tex]

Step-by-step explanation:

From the question we are told that:

Volume [tex]V=1000cm^3[/tex]

a) .

Generally for optimal dimensions

[tex]A=L*B*H[/tex]

Where

[tex]L=B=H[/tex]

Therefore

[tex]L=^3\sqrt{1000}\\L=10[/tex]

Therefore the optimal dimensions will be

10:10:10

b)

Generally the equation for surface area of a cube is mathematically given by

[tex]A_s=6l^2[/tex]

[tex]A_s=6*10^2[/tex]

[tex]A_s=600m^2[/tex]


Related Questions

Someone please help me PLEASE.
With explanations.

Answers

Answer:

hlo

buddy

msg me on

navneet175285

Step-by-step explanation:

njkmmnu

A telephone company charges $40.00 per month for cell phone usage that does not exceed 750 minutes. Any usage over 750 minutes is charged at a rate of $0.45 a minute. If a customer uses a cell phone for 977 minutes in a month, how much will that monthly cell phone bill be?

Answers

$142.15

977-750 = 227
227 • .45 = 102.15
102.15 + 40 (monthly payment) = 142.15 :)

The average movie ticket price in dollars since 1980 can be modeled by 0.142x + 1.93 where x is the number of years since 1980. What values of x would you use to find the average movie ticket price in 1985, 1999, and 2010? Find the ticket prices for each of those years rounded to the nearest cent. Submit your x-values, ticket prices, and all solution steps to earn full credit.

Answers

Answer:

Step-by-step explanation:

1985:

x = 5 years  ( 1980 to 1985- 5 years)

0.142x + 1.93 = 0.142*5 + 1.93

                     = 0.71 + 1.93

                     = $ 2.64

                     

1999:

x = 19 years

0.142x + 1.93 = 0.142*19+ 1.93

                     = 2.698 + 1.93

                     =4.628 =  $ 4.63

                     

2010:

x = 30 years

0.142x + 1.93 = 0.142*30 + 1.93

                     =  4.26 + 1.93

                     = $ 6.19

                   

y is the element of the set {1.5, 7.2, 3.4, 4.1, 8.9, .75} and 5Y ÷ 6 is an integer. What is the value of Y

Answers

9514 1404 393

Answer:

  Y = 7.2

Step-by-step explanation:

We can multiply each element of the set by 5/6 and see which result is an integer. We find 5(7.2)/6 = 6, an integer.

  Y = 7.2


Can someone please help?

Answers

Creo que es la C no estoy muy segura

Answer:

Step-by-step explanation:

Find the attached question.​

Answers

p=70°

q=32°

r=38°

Answer:

Solution given:

r=38°[inscribed angle on a same arc are equal]

p=½*140°=70°[inscribed angle is half of the central angle]

<OBA=38°[base angle of isosceles triangle]

again

<C=<B[inscribed angle is half of the central angle]

70°=<OBA+q

70°=38°+q

q=70°-38°

q=32°

45 girls and 30 boys ratio in the lowest terms

Answers

Answer:

3:2

Step-by-step explanation:

45, 30

both divisible by 15, so:

3 : 2

bc :

3*15 = 45

2*15 = 30

Answer: 2/3

Step-by-step explanation: 30÷5; 45÷5= 6/9=2/3

How is the solution set of the sentence below described? X + 5 < 7
A. {All numbers less than 7/5}
B. {All numbers less than 2}
C. {All numbers less than 7}
D. {All numbers less than 12}
E. None of these​

Answers

Answer:

B. {All numbers less than 2}

Step-by-step explanation:

X + 5 < 7

Subtract 5 from each side

X + 5-5 < 7-5

x<2

All numbers less than 2

pls help 10 points each 2 question due in 30 mins

Answers

Answer:  108cm%2F%222+cm%22=54 .

Then you would add more rows like that for a total of

72cm%2F%222+cm%22=36 rows.

Step-by-step explanation:

many 2cm by 2cm square can be used to cover the rectangle without any spaces or overlapping.

It is possible because 72 and 108 are both divisible by 2.

You can start by lining up in row 54 such 2cm by 2cm squares along with one of the 108cm long sides,

Really hope this helped couldnt really see it

Barry bought 3.28 pounds of cashews. Danielle bought 1.97 pounds of
cashews. How many more pounds of cashews did Barry buy than Danielle?

Answers

Answer:

1.31

Step-by-step explanation:

3.28 - 1.97

The function ƒ(x) = 6x is vertically shrunk by a factor of ½ and translated 9 units in the negative y- direction. Select the correct graph of the resulting function.

Answers

Answer:

option C.

Step-by-step explanation:

since the graph y = 6x is shrunk by a factor of ½

it becomes y = 3x

to find one coordinate of this graph we put x = 1 so that we get y = 3

so one point we have is (1, 3).

and the other point is origin

[ for if you keep x = 0 then 3 × 0 = 0 so y comes 0 too.]

now this graph is translated 9 units in the negative y direction

so the point that initially was (0, 0) now becomes (0, -9).

we see that the only graph passing thru (0, -9) is C.

so the answer is option C.

[tex] \\[/tex]

[tex] \mathfrak{hope \: this \: helps \: ツ} [/tex]

- CA Geometry A Illuminate

Answers

Answer:

3

Step-by-step explanation:

Select all that apply Which of the following are characteristics of frequency tables? Multiple select question. They can be used for qualitative data. They can be used for quantitative data. No observation can fit into more than one class. The percentage of observations in each class is provided.

Answers

Answer:

They can be used for quantitative dataThey can be used for qualitative data.No observation can fit into more than one class

Step-by-step explanation:

The frequency table refers to the number of times the event occurs and lists the items shown by value and thus is quantitative and qualitative such as graphs and numerical summary.

The following are characteristics of frequency tables:

They can be used for qualitative dataThey can be used for quantitative data.No observation can fit into more than one class

A frequency is the number of times a particular event, category or value occurs. A Frequency table is a grouping or table that lists qualitative data into classes showing the number of observations or occurrence of items or data in each class.

organize raw data into the readable datadisplays the frequency of various outcomes of the sample.count of occurrences of that outcome used for qualitative as well as quantitative data.

Thus, the correct answer is -

They can be used for qualitative dataThey can be used for quantitative data.No observation can fit into more than one class

Learn more about frequency distribution:

https://brainly.com/question/12635271

Question 3(Multiple Choice Worth 5 points)
(01.01 LC)
What is the decimal equivalent of 3/9

02
0.3
04
0,5

Answers

Answer:

0.3

Step-by-step explanation:

just divide on a calculator 3/9 and u get 0.3

Laura is taking her family to an ice show. Each ticket costs $15, and programs
cost $6 each. She has $97. She buys 5 tickets and wants to figure out the
greatest number of programs she can buy.
If x = number of tickets and y= number of programs, which of the following
inequalities could you use to find the answer to the problem?
A. X+ y = 97
B. 15 + 6y s 97
C. 15x + 6ys 97
D. 15x + 6y2 97

Answers

Answer:

Im not sure what the answer choices are supposed to be but i think it's out of C or D.

Step-by-step explanation:

what is rounding used to?

Answers

Answer:

rounding is used to make long/rough calculations cleaner or easier

Step-by-step explanation:

Answer:

Rounding is used in instances where you can only have a limited number of digits or You must round to the nearest digit.

Step-by-step explanation:

For example lets say i have the problem 12.5 + 4 + 3.2.

I am told to round up to the nearest whole number.

After adding all the numbers up, I find I have 19.7 since the tenths place is a 7, I would round up leaving my final answer as 20.

PLEASE HELP!!! Bring the fraction:


b/7a^2c to a denominator of 35a^3c^3

a/a-4 to a denominator of 16-a^2

Answers

I think this should be the answer

Can someone help me with my summer school geometry work ?

Answers

Answer:

second one

Step-by-step explanation:

Jason is asked to graph this system of equations:

3x+y=2

2y+6x=4

How many times will the lines intersect?

Answers

Hello!

· {3x + y = 2 · {y = 2 - 3x

· {2y + 6x = 4 · {2(2 - 3x) + 6x = 4

· {y = 2 - 3x · {y = 2 - 3x

· {4 - 6x + 6x = 4 · {4 - 12x = 4

· {y = 2 - 3x · {y = 2 - 3x

· {12x = 4 + 4 · {12x = 8

· {y = 2 - 3x · {y = 2 - 3 • 8/12

· {x = 8/12 · {x = 8/12

· {y = 2 - 2 · {y = 0

· {x = 8/12 · {x = 8/12

Good luck! :)

find the measure of the indicated angle to the nearest degree. SOMEONE PLEASEE HELPP ME OUTT

Answers

Answer:

52

Step-by-step explanation:

arcsin 15/18

= 52

Answered by GAUTHMATH

52 hope this helps!!!!

Can someone help me with this math homework please!

Answers

Answer:

A) Over the interval [-2.5, 0.5], the local maximum is 2

--------------------------

Hope it helps...

Answer:

(A) Over the interval [-2.5, 0.5], the local maximum is 2.

Step-by-step explanation:

"Over the interval [-2.5, 0.5], the local maximum is 2."

Correct. The local maximum is the maximum, or highest point, of the graph in a certain area of interval. In [-2.5, 0.5], the highest point is at the y-value of 2.

"As the x-values go to positive infinity, the function's values go to negative infinity."

Wrong. As the x values go to positive infinity (meaning they go to the right, or positive side of the graph), the function goes up, meaning the function's values go to positive infinity.

"The function is decreasing over the interval (-1, 0.75)."

Wrong. Only from [-1, 0] is where that area of the graph decreases. The other half of it, (0, 0.75), is where the graph increases.

"The function is negative for the interval [-2, 0]."

Wrong. Only from [-1, 0] is the function negative. In the interval [-2, -1], the function is positive.

Hope that helps (●'◡'●)

Ben rode a bike at a speed of 12km/h for 1 hour 45 minutes from town A to town B. find the distance in kilometers between town A to town B

Answers

21 km because 12 km + (3/4 of 12) 9 km = 21 km

If there are 3000 people in a room, what is the probability they have watched a video with 80k views?

Answers

Answer:

The answer is 26.667 ..

Step-by-step explanation:

80k/3000

simplify.
1/4(1−2/3)^2+1/3

Answers

Answer:

13/36

Step-by-step explanation:

1 - 2/3 equals 1/3 which is inside the parenthesis

square the number in parenthesis (1/3) and it equals 1/9

multiply the 2 fractions 1/4 and 1/9 to get 1/36

finally add 1/3 with 1/36

12/36 + 1/36 would equal 13/36

What is the value of h in the diagram below?

Answers

Answer:

from what I know I think the answer is D_24

(4 + 7)[tex]^{2}[/tex] + 2[tex]^{3}[/tex]

Answers

Step-by-step explanation:

(4+7)^2=11^2=121

2^3=8

121+8=129

Answer:

= 121

Step-by-step explanation:

it's algebra questions. in Algebra there are some formula are necessary to remember.

(4+7)²+2³

> (4²+2×4×7+7²)+2×2×2×2

> (4×4+2×4×7+7×7)+16

> 8 +56+49+16

> 129

• Equation (4+7)²+2³ is equal to 129.

Which numbers belong to the solution set of the inequality?
X+ 9 < 78
A. 70, 72, 74, 80
B. 44, 50, 54, 68
C. 50, 62, 66, 71
D. 87, 89, 92,95

Answers

Answer: B

Step-by-step explanation:

x+9<78 => x< 78-9=> x< 69 => b right

Answer:

B.44,50,54,68

Step-by-step explanation:

40+9<78

50+9<78

54+9<78

68+9<78

find the number of letters from the word MAXIMUM where two consonants cannot occur. (Permutation)​

Answers

Answer:

4!

Step-by-step explanation:

In word MAXIMUM, consonants are M & X. According to the question itself, consonants should not occur together.

So, we have to put vowels at each even position; only then the condition will be satisfied.

We can put this in 3! ways (permutations of A, I & U).  

For odd positions we can put 3-M's & a X. Total ways is 4!/3!   (as repetitions of M).

Hence, the answer is 4!/3! x 3! = 24 ways.  

24=4!.




Menus eusvtagebisvsuveudysvs sieue rjeuysvudg duty’s itteveh help

Answers

Answer:

13+12+5/2

Step-by-step explanation:

solv it answer will come

Answer:

12×5=60

1/2×4×12=24

24×2=48

60+48=108

=108cm²

please help me if you know ans of the equation given in the attachment
(full steps required)
(No spam answers or else you'll be reported)​

Answers

Step-by-step explanation:

x=y³/z

(y³/z) to the power of a = y to the power of b

[tex] {y}^{3a} \div {z}^{a} = {y}^{b} [/tex]

[tex] {y}^{3} \div z = {y}^{b \div a} [/tex]

[tex] {y}^{3 \div b} \div {z}^{1 \div b} = {y}^{1 \div a} [/tex]

[tex] {y}^{3 \div b} = {y}^{1 \div a} {z}^{1 \div b} [/tex]

[tex] {y}^{b} = {z}^{c} [/tex]

[tex]z = {y}^{b \div c} [/tex]

[tex] {y}^{3 \div b} = {y}^{1 \div a} \times ({y^{b \div c} })^{1 \div b} [/tex]

[tex] {y}^{3 \div b} = {y}^{1 \div a} \times {y}^{1 \div c} [/tex]

as b/c × 1/b = 1/c

and so we see based on the exponents that

3/b = 1/a + 1/c

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