I need the function for the volume of the box for number 1

I Need The Function For The Volume Of The Box For Number 1

Answers

Answer 1

Answer:

Step-by-step explanation:

The volume of a rectanguiar shape like this one is V = L * W * H, where the letters represent Length, Width and Height.  Here L is the longest dimension and is 28 - 2x; W is the width and is 22-2x; and finally, x is the height.  Thus, the volume of this box must be

V(x) = (28 - 2x)*(22 - 2x)*x

and we want to maximize V(x).  

One way of doing that is to graph V(x) and look for any local maximum of the graph.  We'd want to determine the value of x for which V(x) is a maximum.

Another way, for those who know some calculus, is to use the first and second derivatives to identify the value of  x at which V is at a maximum.

I have provided the function that you requested.  If you'd like for us to go all the way to a solution, please repost your question.


Related Questions

An online website rates restaurants that serve hamburgers on a scale from 0 to 10. The graph below shows the ratings of all the restaurants on the website and the costs of hamburgers at those restaurants.

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Where’s the graph ?

First person to get it right will get brainly and 20points

Answers

divide it into 8 equal sections then shade 5 sections


The range of the set of the values 7, 3, 6, 9 and 5 =

Answers

Answer:

6

Step-by-step explanation:

Since the range of a set is the difference between the highest and the lowest value in that set, the range here is:

9 - 3 = 6

Complete the sentence.

Forty-five percent of 120 is
.

Answers

Answer:

54

Step-by-step explanation:

45% * 120 = 54

The answer is 54 120•45/100=54

A line through which two points would be perpendicular to the line y = 2/5x - 5/2 ?​

Answers

Answer:

Step-by-step explanation:

c

who wants to text back and forth pls add me

Answers

Answer:

..........uh ok but u do know that u need to answer questions and get points to talk to users....right..?

Need help desperately

Answers

Answer:

a) 4cd²

b) 3a²b³

Step-by-step explanation:

a) 8c⁴d⁵/2c³d³

1: you would divide the 8 by 2

2: subtract the exponents on c so it would be 4-3 = 1

3: subtract the exponents on d so it would br 5-3 = 2

4: put it all together so it would be 4c¹d² but you dont need the 1 above c

b) 1: divide 9 by 3

2: subtract exponents on a so it would be 3-1 = 2

3: subtract exponents on b so it would be 5-2 = 3

4: put it all together so it would be 3a²b³

hope this helped!! :)

         

                              Answer:

a.   4cd²       b.  3a²b³

Step-by-step explanation:

        [tex]\frac{8c^4d^5}{2c^3d^3}[/tex]

 =    [tex]\frac{8}{2} ( \frac{c^4}{c^3} )(\frac{d^5}{d^3})[/tex]  

  =     [tex]\frac{4}{1} (\frac{c}{1}) (\frac{d^2}{1} )[/tex]    Reduce number.  Substract exponent largest power

                           smallest power  

   =   4cd²  

b.    [tex]\frac{9a^3b^5}{3ab^2}[/tex]

        [tex]\frac{9}{3} (\frac{a^3}{a} ) (\frac{b^5}{b^2} )[/tex]

        [tex]\frac{3}{1} (\frac{a^2}{1}) (\frac{b^3}{1} )[/tex]       Reduce number.  Substract exponent largest power

                              smallest power  

    = 3a²b³

pls help i will give brainliest!!!!! :)

Answers

Answer: c.50 is the answer

Can someone please help?

Answers

Answer:

  (B)  26°

Step-by-step explanation:

The angle at A made by the radius and the tangent is 90°. The angle at O is the same as arc AB, 64°. The acute angles in a right triangle are complementary, so the angle at C is the complement of 64°.

∠ACB = 90° -64°

∠ACB = 26°

Using the graph below what would the y value (range) be for an x value (domain) of -1

Answers

Answer:

y = - 5

Step-by-step explanation:

locate x = - 1 on the x- axis, go vertically down to meet the line at (- 1, - 5 )

Then when x = - 1 the value of y = - 5

75% of 32 students are interested in Mathematics. How many are not interested in Mathematics ?

Answers

Answer:

The answer is 8!

Step-by-step explanation:

75% is 3/4 of 100 so you take 32÷4 and get 8, hope this helps:)

75% of 32 students are interested in Mathematics.Therefore, number of students who are interested in Mathematics [tex] = 75\% \: \: of \: \: 32 \\ = \frac{75}{100} \times 32 \\ = \frac{3}{4} \times 32 \\ = 3 \times 8 \\ = 24[/tex]So, number of students interested in Mathematics is 24.Therefore, number of students who are not interested in Mathematics = 32 - 24 = 8So, 8 students are not interested in Mathematics.

Alternative method:

Percentage of students who are interested in Mathematics = 75%Then, percentage of students who are not interested in Mathematics = (100 - 75)% = 25%Therefore, number of students who are not interested in Mathematics [tex] = 25\% \: \: of \: \: 32 \\ = \frac{25}{100} \times 32 \\ = \frac{1}{4} \times 32 \\ = 1 \times 8 \\ = 8[/tex]

Answer:

8

Hope you could get an idea from here.

Doubt clarification - use comment section.

Function project a day of fun

Answers

i mean i dont know what you want me to help but good luck

Construct a 60° angle

Answers

draw a straight line

A sports store donates basketballs and soccer balls to the boys and girls club. The ratio of basket balls to soccer balls is 7:6. The store donates 24 soccer balls. How many basketballs do they donate

Answers

The number of basket balls donated is; 28 basket balls

We are told that;

Ratio of basket balls to soccer balls = 7:6

Now, the number of soccer balls donated was 24.

This, means fraction of the total number of balls x for soccer balls was; [6/(7 + 6)]x

Thus;

[6/(7 + 6)]x = 24

6x/13 = 24

6x = 24 × 13

6x = 312

x = 312/6

x = 52 balls

Now, since total balls are 52 and soccer balls are 24, then;

Number of basketballs = 52 - 24

Number of basketballs = 28 basketballs

Read more about fraction and proportions at; https://brainly.com/question/1581333

is associative prperty holds good under subtraction over integer​

Answers

Answer:

nope

Step-by-step explanation:

A-(b-c)=(A-b)-c

let a be 2, b be 3 and c be 4

2-(3-4)=(2-3)-4

2-(-1)=(-1)-4

2+1=-1-4

3=-5

therefore, association is not goot under subtraction

I hope that helps you and please mark my answer as the brainliast answer.....it would be an honor......

Answer:

No, the associative property does not hold good for the subtraction of integers.

6 - 3/8x = 15

what is x​

Answers

Answer:

Step-by-step explanation:

the answer is -480

Answer:

x = -24

Step-by-step explanation:

First, transpose 6 to the right and remember that 6 must change sign if you transpose it, that'll give you

- 3/8x = 15-6

-3/8x = 9

Divide both sides by - 3/8

Then x = - 24

Hey guys please give me the correct answer.

Answers

Step-by-step explanation:

-5 - 2x < - 4

Bringing like terms on one side

-2x < - 4 + 5

-2x < 1

x < - 1/2

Option none is the correct answer

Lorraine is picking blackberries in her backyard at a rate of 15 berries per minute. After 16 minutes of picking, there are still 137 blackberries left to pick. Write an equation that models how many berries are left (y) after x minutes of picking. Write your answer as using numbers, letters, and symbols - do not use spaces.

Answers

137 - 16X = Y

Since Lorraine is picking blackberries in her backyard at a rate of 15 berries per minute, and after 16 minutes of picking, there are still 137 blackberries left to pick, to determine an equation that models how many berries are left (y) after x minutes of picking, the following calculation must be performed:

137 - 16X = Y

Thus, for example, after 5 minutes the calculation would be as follows:

137 - 16 x 5 = Y 137 - 80 = Y 57 = Y

Learn more about maths in https://brainly.com/question/25989509

check attachment for question

Answers

Answer:

[tex]\displaystyle 3x^2 + x[/tex]

Explanation:

All you are doing is combining like-terms:

[tex]\displaystyle \boxed{3x^2 + x} \Rightarrow [5x + x^2 - 1] + [2x^2 - 4x + 1][/tex]

I am joyous to assist you at any time.

If cosine theta = -2/5 and tangent theta > 0, what is the value of sine theta?

Answers

[tex]\text{Given that,}\\\\\cos \theta = -\dfrac 25 \\\\\implies \cos^2 \theta = \dfrac 4{25}\\\\\\\implies 1- \sin^2 \theta = \dfrac{4}{25}\\\\\\\implies \sin^2 \theta = 1-\dfrac{4}{25}\\\\\\\implies \sin^2 \theta =\dfrac{21}{25}\\\\\\\implies \sin \theta = \pm \sqrt{\dfrac {21}{25}} = \pm \dfrac{\sqrt{21}} 5\\\\\text{Since}~ \tan \theta>0,~ ~\text{the value of} ~\sin \theta ~\text{wii be:} \\\\\sin \theta = -\dfrac{\sqrt{21}}5[/tex]

Miranda bought oranges which are sold in a bag of 5 for $2. The next day she bought 20 oranges which was $8. What is the table for this problem? (Create a table with the information above with at least 5 ordered pairs)

Answers

Answer:

I think the answer is $170

Can someone one help me with this question Real quick

Answers

Answer:

5

7

..................

Answer:

y equals -2x -7

y equals 3/4 x plus 2 1/2

x^2-2x+3k=0 find k with D>0

sorry for the bad example.​

Answers

Step-by-step explanation:

b²-4ac>0

(-2)²-4(1×3k)>0

4-12k>0

-12k>-4

k<⅓

Answer:

Step-by-step explanation:

b²-4ac>0

(-2)²-4(1×3k)>0

4-12k>0

-12k>-4

k<⅓

which ordered pair is a solution to the system of equalities y<3x y<5

Answers

Answer:

(6,2) x=6 y=2

Step-by-step explanation:

Roxanne's dining room is 4 meters wide and 5 meters long. Roxanne wants to install a new wood floor. It will cost $8.44 per square meter. How much will Roxanne's new floor cost?

$ ____
HELPP MEE PLEASEE!

Answers

It will coast $168.8
See attached picture

heyyyy I rlly need help on this homework question its overdue and i need to turn it in :(

Tell whether the given value is a solution of the inequality 5+j>8.

Answers

Answer:

j>3

Step-by-step explanation:

hope this helps sorry if it doesn't have a great rest of your night :)❤

J>3 have a great day

If the nominal interest rate is 4. 00% and the rate of inflation is 2. 25%, what is the real interest rate? 1. 75% 4. 50% 6. 25% 9. 0%.

Answers

Based on the information given the real interest rate is 1.75%.

Using this formula

Real interest rate =Nominal interest rate − Inflation rate

Where:

Nominal interest rate=4.00%

Inflation rate=2.25%

Let plug in the formula

Real interest rate=4.00%-2.25%

Real interest rate=1.75%

Inconclusion the real interest rate is 1.75%.

Learn more about real interest rate here:https://brainly.com/question/6106690

Which number line shows the solution to the inequality 4x+5>9

Answers

The answer to your question is option 1

Help me solve these questions
?

Answers

Answer:

All of these?

Will mark brainliest for 2 possible answers

Answers

Answer:

  x³ +7x² +7x -15

Step-by-step explanation:

Apply the distributive property repeatedly, and/or recognize the ways that the coefficients of the product are formed.

distributive property

  (x -1)(x +3)(x +5)

  = (x -1)(x(x +5) +3(x +5))

  = (x -1)(x² +5x +3x +15) = (x -1)(x² +8x +15)

  = x(x² +8x +15) -1(x² +8x +15)

  = x³ +8x² +15x -x² -8x -15

  = x³ +7x² +7x -15

__

using knowledge of products of powers

The x³ term will be the product of all of the x-terms.

The x² term will be the pairwise sum of products of two x-terms and the third constant.

The x term will be the pairwise sum of products of one x-term and the two other constants.

The constant term will be the product of all of the constants.

These computations are simplified a bit because all of the x-coefficients are 1.

  = x³ +(-1 +3 +5)x² +(-1·3 +(-1)·5 +3·5)x +(-1)·3·5

  = x³ +7x² +7x -15

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