A box with a square base and top is made with a cardboard that costs 0.3 cents per cm² . The base is double layered for reinforcement. If the total cost for material is fixed at 3.6 dollars, what is the dimensions of the box that maximizes the volume? Enter the exact values (i.e., no approximation).

Answers

Answer 1

Answer:

Length = 10 cm

Width = 10 cm

Height = 12 cm

Step-by-step explanation:

Cost of a cardboard with a square base and top = 0.3 cents per cm²

0.3 cents = $0.003 (0.3/100)

Total cost for material = $3.6

The volume of the box = $3.6/$0.003 = 1,200cm³

The formula for volume = length × width × height.

Since the base and top are square, the length and width must have equal sizes.

Let us assume that

length = 10cm

width = 10cm

these will give an area of 100cm².

Volume = length * width * height

= Area * height

= 10 * 10 * height

= 100cm² * height

Therefore, the height will be the volume divided by area

= 1,200cm³/100cm²

= 12cm

Volume = 10 * 10 * 12

= 1,200cm³


Related Questions

-5-4-3
3
The function graphed above is:
Increasing on the interval(s)
Decreasing on the interval(s)

Answers

Answer:

[tex]Interval = (-2,1.5)[/tex]

[tex]Interval = (-\infty, -2)\ u\ (1.5,\infty)[/tex]

Step-by-step explanation:

Given

See attachment for graph

Solving (a): Increasing interval

To do this, we simply identify the interval at which the value of the graph increases.

The value has an increased interval between -2 and 1.5 (of the x-axis).

Hence, the increasing interval is:

[tex]Interval = (-2,1.5)[/tex]

Solving (b): Decreasing interval

To do this, we simply identify the interval at which the value of the graph decreases.

The value has decreased intervals between - infinity and -2 and also 1.5 and infinity (of the x-axis).

Hence, the decreasing interval is:

[tex]Interval = (-\infty, -2)\ u\ (1.5,\infty)[/tex]

The question is in the image i provided. I will mark brainliest!

Answers

Answer:

B

Step-by-step explanation:

Please help if you can !!!!!!!!

Answers

Answer:

D   51.3%

Step-by-step explanation:

Number of students who bought popcorn: 80

Total number of students: 156

percent = 80/156 * 100% = 51.3%

What is the product of (2x+1) and (2x-1)? O 4x2 0 4x2 - 4x-1 0 4x2 - 2x + 1 0 4x2.1​

Answers

Answer:

Step-by-step explanation:

hello :

use identity : a²-b²=(a-b)(a+b)

(2x+1) (2x-1)= (2x)²-1 =4x²-1

give proof and show work and ill give brainliest

Answers

Answer:

c because if you remove the food the squirrels the are limited to what they get. Which means they need to find more.

Step-by-step explanation:

brainliest

∩。• ᵕ •。∩ ♡

Answer:

D

Step-by-step explanation:

Less population is what we are wanting

Jess wants 180 cupcakes for her party. Jess has already made 60 berry cupcakes, and 48
cocoa cupcakes. How many more cupcakes does Jess need to make?

Answers

Answer:

Hi! The answer to your question is 72 Cupcakes

Step-by-step explanation:

[tex]60+48 = 108[/tex]

[tex]180 - 108 = 72[/tex]

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☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

The manufacturer of a new kind of granola bar needs to find the surface area in order ti design the wrapper the granola bar is the shape of a rectangular prism it is 12.0 long and 6.5 cm wide and 1.25 hight. To the nearest tenth, which is the surface area of the granola bar?

A. 97.5 cm
B. 101.1 cm
C. 118.5 cm
D. 202.3 cm​

Answers

Answer: D

Step-by-step explanation: I just did this

6 (n-3) - 2n = 10
Pleasee help

Answers

Answer: n = 7

(this website may help: https://www.symbolab.com/)

Step-by-step explanation:

if I have the numbers 8,4,11,13 and need a 5th number to make my mean 10 what would the blank number be?

Answers

Answer:

14

Step-by-step explanation:

If you want to solve this question, you would need to know the sum of your number right now and after you add the blank number.

First one is: 8 + 4 + 11 + 13 = 36.

Second one: Sum = mean x [how many numbers there are], which means:

sum = 10 x 5 = 50.

Then, subtract the 36 from 50, and you get the answer: 14.

The answer would be 14.

please help
me on this math problem

Answers

Answer:

12 feet

Step-by-step explanation:

[tex] \sin(41.5) = \frac{8}{x} [/tex]

[tex]x \sin(41.5) = 8[/tex]

[tex]x = \frac{8}{ \sin(41.5) } [/tex]

[tex]x = 12 [/tex]

(rounded to the nearest whole foot)

For a concert event, there are $30 reserved seat tickets and $20 general admission tickets. There are 1500 reserved seats available, and fire regulations limit the number of paid ticket holders to 2800. The promoter must take in at least $61,000 in ticket sales. Find a system of inequalities describing the different numbers of tickets that can be sold. (Let x be the number of $30 tickets and y be the number of $20 tickets.) number of tickets sold

Answers

Answer:

The system of inequalities is as follows:

30x + 20y ≥ 61,000

x ≤ 1500

x + y ≤ 2800

x ≥ 0

y ≥ 0

Step-by-step explanation:

The system of inequalities can be explained as follows:

30x + 20y ≥ 61,000 <= Indicating a take in of at least $61,000 in ticket sales.

x ≤ 1500 <= Indicating that 500 reserved seats are available.

x + y ≤ 2800 <= Indicating limit of the paid ticket holders to 2800.

x ≥ 0  <= Indicating ticket x must be equal or greater than 0.

y ≥ 0 <= Indicating ticket y must be equal or greater than 0.

what are these answers im stuck!!

Answers

Answer:

1: 89

2: 22      

3: 42      

4: 60

PLEASE MARK ME BRAINLIEST

Step-by-step explanation:

Answer:

hey;)

Step-by-step explanation:

ur cute

Have the conditions for inference been met?
A varsity swimmer at a large high school wants to
estimate the amount of time (in hours), on average,
athletes at this school train or practice each day. This
swimmer selects 10 members of her swim team and
asks them how many hours they typically train or
practice. Use the data to construct a 90% confidence
interval to estimate the true mean number of hours
athletes at this school train or practice each day.
No, the sample is not random.
No, the graph of the data shows skewness and has
outliers.
No, the 10% condition cannot be verified, because it
is not known how many seniors are in the
population.
Yes, the student selected a random sample; 10 is
less than 10% of the population of athletes, and the
graph of the data shows no clear skewness or
outliers.
0.5, 1, 1, 2, 2, 2, 2.5, 2.5, 3, 3

Answers

Answer: the answer is A

Step-by-step explanation: because the original question does not state that the swimmer “randomly selected” the members. It only says the swimmer “selects” 10 members. Therefore, it is A (The sample is not random)

youre welcome

Approximate, in feet, the circumference of a circle with radius = 6 ft. (Round your answer to one decimal place.)

Answers

Answer:

37.7

Step-by-step explanation:

Circumference of circle =2pir

I took pi=3.14

C=2xpix6=37.7square ft

PLS HELP URGENT

In triangle PQR.
Sis the point on PR such that angle RSQ = 90°
RQ = 14 cm
RS -- 10 cm
SP - 5 cm
Work out the length of PQ.

Answers

PQ=11

PS^2+SR^2=QR^2

PS^2+PS^2=PQ^2

9514 1404 393

Answer:

  11 cm

Step-by-step explanation:

The law of cosines can be helpful here. In order to find PQ, we must know the cosine of the angle R. Fortunately, SOH CAH TOA reminds us it is ...

  Cos = Adjacent/Hypotenuse

  cos(R) = 10/14 = 5/7

__

The law of cosines gives us the relation ...

  PQ^2 = PR^2 +QR^2 -2·PR·QR·cos(R)

  PQ^2 = 15^2 +14^2 -2(15)(14)(5/7) = 121

  PQ = √121 = 11

The length of PQ is 11 cm.

_____

Alternate solution

This can be solved using the Pythagorean theorem twice.

  QS^2 = QR^2 -SR^2 = 14^2 -10^2 = 96

  PQ^2 = PS^2 +QS^2 = 5^2 +96 = 121

  PQ = √121 = 11

Add one set of parentheses to the expression 2x² + 4 - 5 so that the value of the expression is 75 when x = 6.

Answers

Answer:

2(x^2 +4)-5

Step-by-step explanation:

6^2= 36

36+4= 40

40x2=80

80-5=75

6(6^2 + 4) -5


PLZZZZZ ANSWER ME I NEED HELP
I WILL GIVE YOU BRAINIEST

If the diameter of a circle is changed from 5 cm to 10 cm, how will the circumference change?
A)
increases by a factor of 2
B)
decreases by a factor of 2
C)
increases by a factor of 5
D)
decreases by a factor of 5

Answers

Step-by-step explanation:

I think you are 100℅ clear.

What is the perimeter of the triangle?

Answers

Answer:

this triangle is a acute angel so it 3

Someone bless my day with answering this math question I’m stuck on it (photo)

Answers

Answer:

The answer is B.

Step-by-step explanation:

If xy + y² = 6, then the value of dy/dx at x= -1 is

Answers

Hi there!

[tex]\large\boxed{\text{At (-1, -2), }\frac{dy}{dx} = -\frac{2}{5}}}[/tex]

[tex]\large\boxed{\text{At (-1, 3), }\frac{dy}{dx} = -\frac{3}{5}}}[/tex]

We can calculate dy/dx using implicit differentiation:

xy + y² = 6

Differentiate both sides. Remember to use the Product Rule for the "xy" term:

(1)y + x(dy/dx)  + 2y(dy/dx) = 0

Move y to the opposite side:

x(dy/dx) + 2y(dy/dx) = -y

Factor out dy/dx:

dy/dx(x + 2y) = -y

Divide both sides by x + 2y:

dy/dx = -y/x + 2y

We need both x and y to find dy/dx, so plug in the given value of x into the original equation:

-1(y) + y² = 6

-y + y² = 6

y² - y - 6 = 0

(y - 3)(y + 2) = 0

Thus, y = -2 and 3.

We can calculate dy/dx at each point:

At y = -2: dy/dx = -(-2) / -1+ 2(-2) = -2/5.

At y = 3: dy/dx = -(3) / -1 + 2(3) = -3/5.

plzz help i will give brainliest plzzzz

Answers

Answer:

B

Step-by-step explanation:

B gives you 8/12, which can be simplified down to 2/3.

B is the answer
At least that’s what my teacher said.

Name a chord shown in the diagram. Answer in this format, "Segment EK"

Answers

9514 1404 393

Answer:

  Segment AB

  Segment AC

Step-by-step explanation:

A chord is a line segment whose ends are on the circle. In this circle segments AB and AC are chords.

__

Segment AC is a special chord, the longest possible. It is a diameter of the circle.

Measure of angle R =49 find the measure of angle O

Answers

Answer:

angle O is equal to 41°

I hope it's helps you

The graph shows the function?

Answers

3/22 hope that helps have a good one

Answer:

The graph shows the function

✔ y = sin(x) – 6

.

The function rule y = cos(x) + 2 describes graph

✔ b shown here.

How many times greater is the value of the 7 in 171,889 than the value of the 7 in 117,889. Please help me!

Answers

i believe it is 10x greater

8 x 10 to the 5th power is how many time as great as 8 x 10 to the - 1 power

Answers

Answer:

B

Step-by-step explanation:

What are the values of X, Please give me an in-depth explanation so that I can answer similar problems on my own

Answers

Step-by-step explanation:

a line is 180°

180-90 (given) = 90

so the two angles x and 2x added together equal 90

2x + x = 90

3x = 90

x = 30

the angles are 30 and 2(30)= 60

Really need help right answer gets it

Answers

Step-by-step explanation:

-7 is in the domain

0 is in the domain

7 is not in then domain

Answer:

7

Step-by-step explanation:

x=7 is the vertical asymptote, it is not in the domain

A circle has diameter of 17 meters. What is its radius?


This is Delta Math

Answers

The radius is 8.5. It is just the diameter cut in half btw for any future questions.

Can someone help on those two please and thank you I am begging you

Answers

Answer:

1.6ft^2

2.30ft^2

3. 36ft^2

Step-by-step explanation:

1. bh/2

4x3/2

12/2

Fig= 6ft^2

2.bh

3x10

Fig= 30ft^2

3.

Total

30+6=36ft^2

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