A box, with rectangular sides, base and top is to have a volume of 2 cubic feet. It has a square base. Express the
surface area A of the box in terms of the width w of the base. If the material for the base and top costs 10 dollars/ft2
and that for the sides costs 20 dollars/ft express the total cost C as a function of the width.

Answers

Answer 1

The total surface area is 2w² + 8/w, while the total cost is $(20w² + 160/w)

What is volume?

Volume is the amount of space occupied by a three dimensional shape or object.

Let w represent the width of the base and h represent the height. Hence:

w²h = 2

h = 2/w²

The surface area = 2w² + 4(hw) = 2w² + 4(2/w² * w) = 2w² + 8/w

The total cost = 2w² * $10 + (8/w) * $20 = $(20w² + 160/w)

The total surface area is 2w² + 8/w, while the total cost is $(20w² + 160/w)

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Related Questions

Balance the following chemical equation. (20 pts)

Answers

Answer:

4Cl + 2Pb → 2PbCl2

Step-by-step explanation:

It's simplest reaction is:

Pb + Cl2 → PbCl2


What is the solution set?

Answers

Answer:

5'3

Step-by-step explanation:

trust me I know what im talking about

4,5,6,6,7,7,8,8,8,8,8,9,9

What is the standard deviation and variance for these students' quiz scores?

Answers

Standard deviation = 1.46
Variance = 2.13

Mr. and Mrs. Williams hope to send their daughter to college in twelve years. How much money should they invest now at an interest rate of 8.5% per year,
compounded continuously, in order to be able to contribute $9000 to her education?

Answers

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$9000\\ P=\textit{original amount deposited}\\ r=rate\to 8.5\%\to \frac{8.5}{100}\dotfill &0.085\\ t=years\dotfill &12 \end{cases} \\\\\\ 9000=Pe^{0.085\cdot 12}\implies 9000Pe^{1.02}\implies \cfrac{9000}{e^{1.02}}=P\implies 3245.35\approx P[/tex]

Hamilton, NY has 73465 residents, and 12 members on their Board of Trustees. The three districts of Basel, Heights, and Dagonal have the following populations:
Basel: 13,244 Heights: 30, 415 Dagonal: 29,806
Determine the standard quota (to two decimal places) for the Dagonal district.



6) Gotham City is to apportion 16 seats to districts with populations as follows:
North: 785 South: 1,125 East: 1,950 West: 415
Find the standard divisor
What are the standard, lower, and upper quotas for the four districts?

Answers

a) The determination of the standard quota for the Dagonal district is 40.57%.

b) 1. The standard divisor is 267.19 (4,275/16).

2. The standard, lower, and upper quotas for the four districts are as follow:

                                North         South           East         West      

Standard quota     18.36%       26.32%     45.61%       9.71%

Lower quota             18%          26%            45%            9%

Upper quota             18%          26%            46%           10%

What is the quota method of apportionment?

The quota method of apportionment is the use of the standard divisor to round off standard quotas, according to some agreed ground norms.

When the standard quota is rounded down to an integer, it gives the lower quota, and rounding up gives the upper quota.

The standard divisor is calculated as the total population divided by the total number of seats.

The standard divisor gives the average number of people represented by a Board or seat member.

Data and Calculations:

Hamilton, NY Population:

Residents of Hamilton, NY = 73,465

Board Trustee Members = 12

                              Basel         Heights       Dagonal      Total

Population            13,244         30, 415        29,806    73,465

Proportion            18.03%        41.40%         40.57%      100%

Allocation of Board

Seats                         2                  5                 5               12

Gotham City Population:

Number of seats = 16 seats

                              North         South         East         West      Total

Population               785           1,125         1,950        415       4,275

Proportion            18.36%       26.32%     45.61%       9.71%    100%

Allocation of Board

Seats                        3                 4                7              2          16

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helpppppppppppppppppppppppppp walk me thru

Answers

Answer:

i think its a trapazoid

Step-by-step explanation:

I NEED HELP WITH MY HOMEWORK​​

Answers

Answer:

I-9I

Step-by-step explanation:

Absolute value (the straight brackets) is how far away the number is from zero, this makes -9 into positive 9

Answer:

C. |-9|

Step-by-step explanation:

|-9| = 9

9 > 7 > |5| (5) > -12

The function f(x) = x2 is translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)?


A. g(x) = (x − 7)2 − 3

B. g(x) = (x + 7)2 − 3

C. g(x) = (x − 3)2 − 7

D. g(x) = (x − 3)2 + 7

Answers

Answer:

B. g(x)=(x+7)^2-3

Step-by-step explanation:

Vertex form is F(x)= a(x-h)^2+k

a is the reflection

h and k are the vertex (x,y) = (h,k)

in this case there is no shrink or stretch (a)

if it is translating left or right it is "h". In this case it is translated left so its -7.  However if you look at vertex form it is "x-h" so -7-7= +7

If it translating up or down it is "K".  In this case it is translated down so its -3.  

If it was translated up or right then its positive.  If it was translated down or left its negative.

After you figure out what h and k are then you just plug it in.  h=-7, k=-3

so the answer in vertex form is, g(x)=(x+7)^2-3

Can someone please help me with this! Thanks <3

Answers

Answer:

H

Step-by-step explanation:

If you convert these fractions into decimals:
-2 1/2 = -2.5
-2.47 = -2.47
-2/5 = -0.4
5 = 5
21/4 = 5.25
You can see that the order from lest to greatest is answer H

Hope this helps :)

Which expression is equivalent to 4.x? - 16?
O A. x² – 12
.
ОВ.
(2x + 4)(2x - 4)
Ос.
2x + 2x – 8 - 8
O D.
(2x - 4)(2x - 4)

Answers

Answer:    A

Step-by-step explanation:

Explain how you would add 38+45

Answers

Answer:

83

Step-by-step explanation:

first add whatever is in the 1's place so for 38, 8 is in the 1's place and for 45, 5 is in the 1's place

so first it will be 8+5 which is 13 so you are going to carry the 1 over to the tens place so now it will be 30 + 40 + 10 and that equals 80 so you add 80 and 3 which looks like 80+3 and that equals 83

Laura and Martin obtain a 20-year, $170,000 conventional mortgage at 8.5% on a house selling for $190,000. Their monthly mortgage payment, including principal and
interest, is $1475.60.
a) Determine the total amount they will pay for their house.
b) How much of the cost will be interest?
c) How much of the first payment on the mortgage is applied to the principal?

Answers

C. How much of the first payment on the mortgage is applied to the principle

Help help help help aspab

Answers

Answer:

Straight

Step-by-step explanation:

∠RQT is a straight angle.

Answer:

Straight

Step-by-step explanation:

∠RQT is a straight angle with a measure of 180°.

hope this helps!! p.s. i really need brainliest :)

Which graph represents
y=\x-4

Answers

Answer:

The first answer choice is correct due to its Y-Intercept

Step-by-step explanation:

Of your 2 answer choices, the first answer choice is the best.

This is because your Y-Intercept is one of the most important things you look our first.

It should be (0,-4) which the first one clearly has.

Now, you could look at the growth, it is growing at a different rate that is increasing as opposed to a constant rate.

Both of them have that, but like I said the Y-Intercept Clearly exposed the right answer.

Therefore The first answer choice is correct.

Please help I'll mark brainliest​

Answers

✿————✦————✿————✦————✿————✦————✿

So, to find the mean they added up the scores from 20 seasons and divided by 20, the number of seasons to get an average score of 10.4.

10.4 = (x1 +x2 +x3 ... +x20 )/20

Then;

10.4*(20) = (x1 +x2 +x3 ... +x20 )

208 = sum of the first 20 seasons

We want to add one more number in there, the 21st season with a score of 14. Add the 14 to the sum of the first 20 seasons and then divide by 21, the new number of seasons you're averaging.

Mean = (208+14)/21  

✿————✦————✿————✦————✿————✦————✿

Answer

= 10.6

✿————✦————✿————✦————✿————✦————✿

#carryonlearning

find product of 9000and800​

Answers

Answer:

7200000

Step-by-step explanation:

complete each statement based on the image below

Answers

Step-by-step explanation:

1) Angles opposite congruent sides in a triangle are congruent, so angle H is congruent to angle D.

2) For the same reason as the first problem, angle D is congruent to angle NSD.

3) Since sides opposite congruent angles in a triangle are congruent, segment AH is congruent to segment AS.

4) For the same reason as the third question, segment SA is congruent to segment SN.

help me plssssssssss

Answers

Answer:

<E=<I (it is a rotated triangle of 180 degrees)

<F=<H (they are both right triangles)

<EGF=<IGH (vertical angles are congruent)

segment FE=segment IH (cpctc)

segment EG=segment HG (cpctc)

segment FG=segment IG (the little dashes on the segments mean that they are congruent.

Classify each of the following statements as true or false.
a 4 × n can be written as 4n. say if it is true or false thanks smarties
b n × 3 can be written as 3n.
c 4 × b can be written as b + 4.
d a × b can be written as ab.
e a × 5 can be written as 50a.

Answers

Step-by-step explanation:

a- true

b- true

c- false, it can be written 4b

d- true

e- false, 5a

Answer:

A.true B.true C.False D.true E.False

The largest possible sum, less than 10, of two consecutive prime number is

Answers

Answer:

8

Step-by-step explanation:

Primes below 10 are 1,2,3,5,7

the two consecutive primes that would add up less than 10 would be 3 and 5. 3+5 = 8

find the midpiont between y and 31 is -5 find y

Answers

Answer:

y=-41

Step-by-step explanation:

[tex]\frac{y+31}{2} =-5\\y+31=-5 \times 2\\y+31=-10\\y=-10-31\\y=-41[/tex]

write the following numbers in words (1) 396 624 (2) 5 200 090 (3) 4 606 220​

Answers

Answer:

1. three hundred ninety six thousand twenty four

2. five million two hundred thousand ninety

3. four million six hundred six thousand two hundred twenty

The function h(x) is a transformation of the square root parent function, f(x) = pi x. What function is h(x)?​

Answers

Answer:

A

Step-by-step explanation:

you can see graph of f(x) changed one unit to the left, since it goes to the left, you should +1 in terms of x. so sqr x+1 is the solution. one way to think about that is you plus one for every x value, that means you get to a point previously for one unit. and turns out it looks like you moves to the left.

Hope that helps

Element X is a radioactive isotope such that every 81 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 1800 grams, how much of the element would remain after 28 years, to the nearest whole number?

Answers

Answer:

1426

Step-by-step explanation:

this question has been asked before and answered incorrectly but people corrected them in the comments.


The probability that an international flight leaving the United States is delayed in departing (event D) is 34. The probability that an
international flight leaving the United States is a transpacific flight (event A is 51. The probability that an international flight leaving the
U.S. is a transpacific flight and is delayed in departing is 13.
(a) What is the probability that an international flight leaving the United States is delayed in departing given that the flight is a
transpacific flight? (Round your answer to 4 decimal places.)

Answers

Answer:

the answer is answer nice answer my answer

Step-by-step explanation:

if u answer the answer then answer u should be able to answer within the answer with answer present and answer nice answer answer answer answer answer answer answer answer

Find the distance between the two points rounding to the nearest tenth (if necessary). (-8,-6) and (-3,-4)

Answers

Answer:

9.8

Step-by-step explanation:

The distance is calculated using the formula d=√(x2-x1)²+(y2-y1)².
The first thing to do is subtract to find the necessary values.
X 8 - 4 = 4

Y -3 - 6 = -9

d=√(4)²+(9)²

d=√(16 + 81)

d=√97

d = 9.8488578018 or 9.8

11. Determine whether the events are independent or dependent. Explain your answer.
(3 points each)
a. Randomly choosing an oatmeal cookie, eating it, and then choosing a peanut butter
cookie from a container of cookies.
b. Drawing the name "Sally" from a hat and replacing it, and then drawing the name
"Malcolm" from the hat.

Answers

The fact that one chooses an oatmeal cookie, eating it and then choosing a peanut butter cookie from a container of cookies is an independent event.

What is a dependent event?

It should be noted that dependent events influence the probability of the other events.

In this case, the fact that one chooses an oatmeal cookie, eating it, and then choosing a peanut butter cookie from a container of cookies is an independent event.

On the other hand, drawing the name "Sally" from a hat and replacing it, and then drawing the name "Malcolm" from the hat is a dependent event.

Learn more about dependent event on:

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In shop class, Adriana makes a pyramid with a 4-inch square base and a height of 6 inches. She then cuts the pyramid vertically in half as shown. What is the area of each cut surface?

Answers

The area of the square pyramid is the amount of space on it

The total surface area of each cut surface is 33.28 square inches

How to determine the surface area of each cut surface?

The given parameters are:

Base (b) = 4 cm

Height (h) = 6 cm

Start by calculating the slant height (l) using:

l = √((4/2)^2 + 6^2)

l = 6.32

The lateral surface area is calculated using:

L = 2bl

So, we have:

L = 2 * 4 * 6.32

Evaluate the product

L = 50.56

The total surface area is calculated using:

T = L + b^2

So, we have:

T = 50.56 + 4^2

Evaluate

T = 66.56

Divide the total surface area by 2

T/2 = 33.28

Hence, the total surface area of each cut surface is 33.28 square inches

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enter the value for x

Answers

12 times 7 equals 84 so the answer is 84

Suppose that a commercial bakery produces chocolate chip cookies. Based on extensive testing, the bakery has determined that the ideal number of chocolate chips per cookie is 18. In the past, master bakers mixed the dough and spooned it onto sheet pans by hand, but the owners have decided to test a new machine.

The machine extrudes dough onto baking sheets at a uniform rate. It runs continuously from 5:30 a.m. until 1:30 p.m. The number of chips per cookie depends on the viscosity of the dough, and because the dough stiffens as it sits in the machine, the machine produces cookies that contain the optimal number of chips, 18 per cookie, between the hours of 6:00 a.m. and 11 a.m. The distribution of cookies is shown in the graph below.

Answers

Based on the times that the machine produces cookies that have the optimal amount of chips, the proportion produced daily with the optimal number of chips is 62.5% or 0.625.

What is the proportion of cookies with optimal chocolate chips?

This can be found by the formula:

= (Hours that optimal cookies are produced) / Hours that the machine runs per day

5:30 am is the same as 5.5 hours because 30 minutes is half an hour.

1:30 pm is also the same as 13.5 hours by the above rule and in 24 hour notation.

Proportion of optimal cookies is therefore:

= (11 am - 6am) / (13.5 - 5.5)

= 5 / 8

= 0.625

= 62.5%

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