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

what is the answer
how do i do it

Answers

Answer:

-8.9° C

Step-by-step explanation:

Question:

Doing a scientific experiment the temperature of a container decreased by 35.7° C at a constant rate over 8 1/2 hours.

What value represents the change in the temperature of the container each hour?

Answer:

-8.9° C

Malika's school is selling 100 raffle-tickets to raise money for a new gymnasium. The
grand-prize is a ten-speed mountain bike. Which word or phrase describes the
probability that she will win the raffle if she buys all the tickets?

A. An equal chance or 50-50
B. Certain
C. Unlikely
D. Likely

Answers

Answer:

Certain

Step-by-step explanation:

If she buys all of them, no one else has a chance because there is no other tickets

Lily is $90\text{ cm}$ tall. If Anika is $\frac{4}{3}$ of the height of Lily, and Sadaf is $\frac{5}{4}$ of the height of Anika, how tall is Sadaf?

Answers

Answer:

your mom

u.w.u

lol

haha

study well

FIRST CORRECT GETS BRAINLIEST

Answers

Answer:

First choice.

Step-by-step explanation:

cos 11π/6 = cos π/6 = √3/2

So cos 11π/12 =   √(1 + cos 11π/6) / √2

= √(1 + √3/2) / √2

= √(2 + √3) / 2.

Help picture below problem 10

Answers

Solution :-

Here, we have been given that lines f and g are parallel. Thus, the angle measuring 135° and ∠2 are vertically opposite angles.

And we know that vertically opposite angles measure same. Thus,

∠2 = 135°

And,

∠2 + ∠6 = 180° ( Co - interior angles sum up to 180° )

135° + ∠6 = 180°

∠6 = 180° - 135°

∠6 = 45°

Hope that helps :)

which of the following is an equivalent expression to the expression a 1/3/ a /14

Answers

A. a^1/12

When dividing two exponents with the same base, subtract the denominator exponent from the numerator's exponent.

the difference is the value of the new exponent with the same base.

A bag of tokens contains 9 red, 6 green, and 5​ blue tokens. What is the probability that a randomly selected token is red and green?

Answers

Answer:

27/200

Step-by-step explanation:

Knowing that:

A bag of tokens contains 9 red, 6 green, and 5​ blue tokens. What is the probability that a randomly selected token is red and green?

Solve:

and = multiply

Total = 9 red + 6 green + 5 blue = 9 + 6 + 5 = 20

Total = 20 token

Thus,

There are 9 red and 6 green..

Hence,

9 out of 20 is red

6 out of 20 is green

Equation

9/20 × 6/20

Multiply Across:

9 × 6 = 54

20 × 20 = 400

54/400

Simplify

27/200

Therefore, the probability that a randomly selected token is red and green is 27/200.

~Lenvy~

The probability that a randomly selected token is red and green is 27/200 in fraction form and 0.135 in decimal form.

What is probability?

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Given that a bag of tokens contains 9 red, 6 green, and 5​ blue tokens.

Total = 9 red + 6 green + 5 blue = 9 + 6 + 5 = 20

Total token = 20

P(E₁) is 9 out of 20 are red.

P(E₂) is 6 out of 20 are green.

⇒ P(E₁) = 9/20

⇒ P(E₂) = 6/20

Required probability P(E) = P(E₁)×P(E₂)

Required probability P(E) = 9/20 × 6/20

Required probability P(E) = 54/400

Required probability P(E) = 27/200 = 0.135

Therefore, the probability that a randomly selected token is red and green is 27/200.

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What is the probbability of flipping a coin 15 times and getting heads 6 times?

Answers

Answer:

if I'm wrong let me know 25

Solve. 9 m 3 − 27 m 2 − 252 m = 0

Answers

Answer:

m = 0

m = 7

m = -4

Step-by-step explanation:

[tex]\sf 9m^3-27m^2-252m=0[/tex]

Divide by 9:

[tex]\sf \implies m^3-3m^2-28m=0[/tex]

Factor out common term m:

[tex]\sf \implies m(m^2-3m-28)=0[/tex]

Factor expression in parentheses:

[tex]\sf \implies m(m-7)(m+4)=0[/tex]

Therefore,

[tex]\sf \implies m=0[/tex]

[tex]\sf \implies m-7=0 \implies m=7[/tex]

[tex]\sf \implies m+4=0 \implies m=-4[/tex]

Martin is an artist who molds plaster into unique shapes.
How much plaster can Martin fit into the mold shown?

Answers

Step-by-step explanation:

the volume of this object is the sum of the volume of the 2 blocks.

the large block is a cube of 4×4×4 = 64 ft³

the small block is 1×1×2 = 2 ft³

so, in total, he can fit 64+2 = 66 ft³ of plaster into the mold.

Convert 12 yards 3 feet and 8 inches into inches

Answers

Answer:

476 inches. i dont know how to do an explanation i just looked it up lol

Answer:

476 inches

Step-by-step explanation:

First convert 12 yards to 36 feet. We know this is the conversion because there are 3 feet in every foot, and 12 times 3 is 36.

We add 36 feet to 3 feet and we get 39 feet. There are 12 inches in a foot, so we do 12 times 39 feet and we get 468 inches.

The we add 468 inches to 8 inches and finally get 476 inches.

What is the equation of a hyperbola with a = 1 and c = 9? Assume that the transverse axis is horizontal.

Answers

Answer:

Step-by-step explanation:

The general formula for a horizontal hyperbola :

[tex]\frac{x^{2} }{a^{2} } -\frac{y^{2} }{b^{2} } =1[/tex]

Given: a = 1 we know a² = 1 ,and that c = 9 so we know c² = 9² = 81

We also know that the relation between a, b, c for a hyperbola is c²= a²+b²

c²= a²+b², substitute what we know

81 = 1 +b², subtract 1 from both sides of the equation

80 = b²

The equation of our hyperbola is:

[tex]\frac{x^{2} }{1 } -\frac{y^{2} }{80 } =1[/tex]  or  [tex]x^{2} -\frac{y^{2} }{80} =1[/tex]

Help picture below problem 6

Answers

Answer:

option B is the correct answer

Step-by-step explanation:

mark me brainliest

The radius of the half dollar in centimeters is shown.
Which of the following is closest to the area of the face of the
half dollar?
A. 12 cm2
B. 15 cm2
C. 28 cm2
D. 735 cm2

Answers

Step-by-step explanation:

12 is your answer

22/7 × 1.95× 1.95

you will get 11.9

round off to get

12

bai

If 2 cups = 1 pint, how many cups of liquid are in a 11-pint container?

Group of answer choices

Answers

22 cups is in 11 pints

3(2x + 1) = 7x-2
What is x

Answers

Answer:

x=-5

Step-by-step explanation:

3(2x+1)=7x-2

6x+3=7x-2

6x-7x=-2-3

x=-5

3(2x + 1) = 7x-2

3*2x+3*1=7x-2

6x+3=7x-2

6x-7x=-3-2

-1x=-5

x=5

Find the area enclosed by the figure
Fastttttt plsssss​

Answers

Answer:

Explanation:

So you want to start by finding the area of the big square.

We know the width of the big square is 60cm. The length of the big square is

19

+

24

+

13

=

56

Big square

A

r

e

a

=

L

W

=

56

60

=

3360

Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.

Little square

A

r

e

a

=

L

W

=

24

34

=

816

The area enclosed in the area of the big square minus the area of the little square.

3360

816

=

2544

So the area enclosed is

2544

c

m

2

Step-by-step explanation:

I well give u brainliest
What are the x- and y-intercepts for the linear equation 2x – 4y = 8 ?

Question 6 options:

(4,0) and (0,-2)


(2,0) and (0,4)


(-2,0) and (4,0)


(-2,0) and (0,4)

Answers

The answer is a. (4,0) and (0,-2)

find the square root of 576 and do it in factorizing method and your answer is going to be in index form​

Answers

Answer:

24.

Step-by-step explanation:

Solution,

By Prime Factorisation method,

576 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3

576 = (2)² × (2)² × (2)² × (3)²

Now,

By Taking square roots on both the sides,

√576 = √ (2)² × (2)² × (2)² × (3)²

√576 = 2 × 2 × 2 × 3

√576 = 24.

A right rectanular prism has a length of 2 a width of 4 and a height of 5. How many unit cubes can fit in the prism

Answers

Answer:

40

Step-by-step explanation:

4 x 2 = 8 x 5

l x w x h

or

Bxh

I don’t get it because I don’t have a calculator

Answers

Get what?
I don’t see a picture or what you need help on.

Find the actual area of the triangle below.
Can someone pls help?

Answers

Answer:

200 meters2

Step-by-step explanation:

4 * 5 = 20

20 * 20 ÷ 2 = 200

{(4x+2y=6),(-2x+2y=18):} Solve by using the elimination method
Please help and show me how you did it

Answers

Answer:

[tex]\displaystyle [-2, 7][/tex]

Step-by-step explanation:

You want to eradicate one pair of variables so they are set to zero. It does not matter which pair is selected:

[tex]\displaystyle \left \{ {{4x + 2y = 6} \atop {-2x + 2y = 18}} \right.[/tex]

{½[4x + 2y = 6]

{−2x + 2y = 18

>> [tex]\displaystyle \left \{ {{2x + y = 3} \atop {-2x + 2y = 18}} \right. \\ \\ \frac{3y}{3} = \frac{21}{3} \\ \\ \\ y = 7[/tex]

Plug this back into the system to get the x-value of [tex]\displaystyle -2.[/tex]

I am joyous to assist you at any time.

Marketing analysis determined 55% of females between the ages of 25 to 34 years old search for green technology and practice being green, as compared to 33% of men in the same age group. What is the probability that a randomly selected man between the age of 25 and 34 does not search for green technology

Answers

According to the given percentages, it is found that there is a 67% probability that a randomly selected man between the age of 25 and 34 does not search for green technology.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

We have that 33% of men search for green technology, hence, there is a 100 - 33 = 67% probability that a randomly selected man between the age of 25 and 34 does not search for green technology.

More can be learned about probabilities at https://brainly.com/question/14398287

Samantha is a waitress and earns a weekly paycheck of $350 plus any tips she earns thought out the week . One week . Samantha noticed she earned about $12 tips each hour . Let x represent the number of hours Samantha works during a week where her average hourly earnings is $22
Write a rational equation that models this situation

Answers

17/ is the best one for the answer bc it can be

Brand X rice sells for $70 per kg. Brand Y rice sells for $20 per 400 g. Both brands have similar qualities 8 . Which brand is the better buy? Why do you think so?​

Answers

Answer:

Brand Y would have a better deal.

Step-by-step explanation:

Step 1. There are 1,000 grams in 1 kilogram. Knowing this, you can see that it would be $70 for 1,000 grams of rice and $20 for 400 grams of rice.
Step 2. You would have to do 70 divided by 1000 (0.07) and 20 divided by 400 (0.05) to see which has the better deal.
Step 3. Brand X is 7 cents per grain and Brand Y is 5 cents per grain, making Brand Y the better deal. I hope that this helps! :)

Find the slope of the line that passes through \left(10,8\right)(10,8) and \left(1,9\right)(1,9).

Slope ==

Answers

Answer:

m = -1/9

Step-by-step explanation:

How many students were in the sample?

Math Test Scores
5 0 4
6 5 7 8
7 5 8
8 2 4 5 5 5 6 7 8 9
9 0 0 0 0 4 6 7 9
5 0 = 50
29
5
24

Answers

The answer to the question is 24

LMNO is a parallelogram, with and . Which statements are true about parallelogram LMNO? Select three options.

x = 11
m∠L = 22°
m∠M = 111°
m∠N = 59°
m∠O = 121°

Answers

Answer:

the answers 1, 4, and 5.

m∠N = 59° and m∠O = 121°.

Option 3 and 4 are correct.

What is a parallelogram?

A parallelogram is a geometric object with sides that are parallel to one another in two dimensions. It is a form of polygon with four sides (sometimes known as a quadrilateral) in which each parallel pair of sides have the same length. A parallelogram has adjacent angles that add up to 180 degrees. You must have studied a variety of 2D shapes and sizes in geometry, including circles, squares, rectangles, rhombuses, etc. Each of these forms has a unique set of characteristics.

As per the given data:

LMNO is a parallelogram

The sum of adjacent angles in a parallelogram is always equal to 180°

11x + 6x - 7 = 180

17x = 187

x = 11

m∠L = m∠N {opposite angles in a parallelogram are equal}

m∠N = 6x - 7 = 6(11) - 7 m∠N

m∠L = 59°

m∠M = m∠O {opposite angles in a parallelogram are equal}

m∠M = 11x = 11(11) = 121°

m∠O = 121°

Hence, m∠N = 59° and m∠O = 121°.

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how do I do it? I didn't understand the math.

Answers

Answer:

please try do the rest by yourself..Of you didn't get the answer you can ask me through comment..

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