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

What is the image point of
(1,4)
(1,4) after a translation left 5 units and down 5 units?

Answers

Answer: (-4, -1)
When solving this equation I took the point given (1,4) and subtracted five units from one and five units from four. The reason being because they are asking you what the translation would be if 1 were to be moved 5 units the left causing it to be negative and moving 4, 5 units down causing it also to be negative because of its direction being moved.
Hope this helps!!
Please tell me if I have made a mistake, I enjoy learning from them:)

You and your friend mix water and citric acid. You add 3 cups of citric acid for every 16 cups of water. Your friend adds 2 cups of citric acid for every 12 cups of water. Whose mixture is more acidic?

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.

Answers

Answer:

You:If it’s was 6 cups of citric I’d be to 32 water

Your friend: if it was 4 cups it’d be 12 water

Step-by-step explanation:

I believe your friends is more acidic because your Is being diluted more

Three bands and two comics are performing for a student talent show. How many different programs (in terms of order) can be arranged

Answers

The different programs (in terms of order) that can be arranged is 120 different ways

Since we are dealing with arrangements, this is a permutation problem.

If there are three bands and two comics performing at a show, the total band will be 5 bands

The number of different programs that can be arranged will be 5!

5! = 5 * 4 * 3 * 2

5! = 60 * 2

5! = 120 ways

Hence the different programs (in terms of order) that can be arranged is 120 different ways

Learn more on permutation here: https://brainly.com/question/9253208

Which polynomial is prime? x4 3x2 â€"" x2 â€"" 3 x4 â€"" 3x2 â€"" x2 3 3x2 x â€"" 6x â€"" 2 3x2 x â€"" 6x 3.

Answers

The polynomial [tex]3x^2+x-6x+3[/tex] is a prime because it is not factorized further and this can be determined by using the factorization method.

Check all the options in order to determine the given polynomial is prime or not.

A) [tex]x^4+3x^2-x^2-3[/tex]

Now, try to factorize the above polynomial.

[tex]x^4+3x^2-x^2-3=(x+1)(x-1)(x^2+3)[/tex]

The given polynomial is factorized further therefore, this polynomial is not a prime.

B) [tex]x^4-3x^2-x^2+3[/tex]

Now, try to factorize the above polynomial.

[tex]x^4-3x^2-x^2+3=(x+1)(x-1)(x^2-3)[/tex]

The given polynomial is factorized further therefore, this polynomial is not a prime.

C) [tex]3x^2+x-6x-2[/tex]

Now, try to factorize the above polynomial.

[tex]3x^2+x-6x-2=(3x+1)(x-2)[/tex]

The given polynomial is factorized further therefore, this polynomial is not a prime.

D)  [tex]3x^2+x-6x+3[/tex]

The given polynomial is not factorized further therefore, this polynomial is is a prime.

For more information, refer to the link given below:

https://brainly.com/question/17822016

Kenny has a bag of marbles. The bag contains 8 red marbles, 5 blue marbles, and 2 yellow marbles. He will randomly select 1 marble from the bag. What is the probability Kenny will select a blue marble?

Answers

The probability Kenny would select a blue marble is 1/3.

helppppppppppppppppppp​

Answers

Who knows ?just need points

Answer:

B. a×1

Step-by-step explanation:

This is because a×1 gives a result of a thus,a multiplying the identity element of multiplication

A sample of n = 5 scores has M = 20 and s2 = 4. What is the sample standard deviation?

O 20
O 5
02
O 16

Answers

5 I think sorry if I’m wrong

The sample standard deviation is 2. Therefore, the correct answer is option C.

Given that, a sample of n=5 scores has M=20 and s²=4.

The standard deviation is the fundamental measure of data point dispersion from the mean of a given data set. If the data points on a given distribution are more spread out, the standard deviation will be greater. In contrast, if the data points are close together, the standard deviation will be low.

The standard deviation is simply the square root of the variance;

Here, [tex]s=\sqrt{4}[/tex]

[tex]s=2[/tex]

Therefore, the correct answer is option C.

Learn more about the standard deviation visit:

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The shortest side of a right triangle measures 16 m. The lengths of the other two sides are consecutive . Find the lengths of the other two sides.

Answers

Answer:

this is hard

Step-by-step explanation:

Solución

10x-3x=11+10

Answers

Answer: x=3

Step-by-step explanation:

x=3
10x-3x=11+10
7x=21
x=3

What are the factors of the trinomial 3x^2 + 16x + 5? Show your work analytically

Answers

Answer:

3x+1 and x+5 are the factors

Step-by-step explanation:

Here's the slide-and-divide method to find the factors:

[tex]3x^2+16x+5[/tex]

[tex]\frac{3x^2}{3}+16x+5(3)[/tex]

[tex]x^2+16x+15[/tex]

[tex](x+1)(x+15)[/tex]

[tex](3*x+1)(x+\frac{15}{3})[/tex]

[tex](3x+1)(x+5)[/tex]

Complete the sentence.

Twenty-seven is % of 60.

Answers

The answer is 16.2%

Answer:

45 percent

Step-by-step explanation:

Have an awesome day!

ASAPPPP HELPPPP PLEASEEEE

Answers

Answer:

27.6

Step-by-step explanation:

sin29=x/57

0.48480962=x/57

x≈27.6

Can someone plz help me?

Answers

Answethe answer is 12

Step-by-step explanation

Answer:

13 i think

Step-by-step explanation:

if x is 4 and you div then it become 3 then you square the other 3 thats 9 then you add and boom its 13

May I please receive help?

Answers

Answer:

a = 19.6 (rounded to the nearest tenth)

Step-by-step explanation:

a^2 + b^2 = c^2

Hypotenuse - 35 m, Legs - 29 m, x

a^2 +29^2 = 35^2

a^2 + 841 = 1225

Subtract 841 from both sides

a^2 = 384

Square root both sides

√a^2 = √384

a = 19.595

One day the temperature started at - 8° F and dropped 17° by the end of the day. What was the temperature at the end of the day?

Answers

Answer: -8 - 17 = -25

Step-by-step explanation: I HOPE THIS HELPS

Answer:

-25° F

Step-by-step explanation:

We start off at - 8° F

The temperature drops 17 degrees by the end of the day

The temperature is now - 8 - 17 = -25° F

A rectangle has a perimeter of 44 inches and an area of 72 square inches. What are the lengths of the sides of the rectangle?

A) 2 inches and 36 inches
B) 4 inches and 18 inches
C) 8 inches and 9 inches
D) 11 inches and 11 inches

IT IS NOT D, I TRIED IT AND IT DOESNT WORK!

Answers

A rectangle has a perimeter of 44 inches and an area of 72 square inches.Perimeter = 44 inches, area = 72 square inches.Let the length and breadth be l and b respectively.We know, perimeter of a rectangle = 2(l + b)Therefore,2(l + b) = 44

or, l + b = 22

or, b = 22 - l ...(i)

We know, area of a rectangle = lbTherefore,lb = 72Putting (i) in b, we getl(22 - l) = 72

or, 22l - l^2 -72 = 0

or, l^2 - 22l + 72 = 0

or, l^2 - 4l - 18l + 72 = 0

or, l(l - 4) - 18(l - 4) = 0

or, (l - 4)(l - 18) = 0

or, l = 4 or l = 18

Therefore, if the length is 4 inches, then the breadth is (22-4) inches, i.e., 18 inches.And if the length is 18 inches, then the breadth is (22-18) inches, i.e., 4 inches.

Answer:

B) 4 inches and 18 inches.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Tom and Jimmy plan to leave at the same time from home and
walk towards each other. Tom walks 52 meters per minute, Jimmy
walks 70 meters per minute. The two meet at cafe shop on the
way. Let's suppose that Tom leaves 4 minutes earlier than Jimmy
and their speeds remain the same, the two will still meet at the
cafe shop. What is the distance between Tom and Jimmy's home?

Answers

To find the distance between the homes of Tom and Jimmy, it is assumed

that the distances from their home to the café are equal.

The distance between Tom and Jimmy's home is [tex]\underline{1,617.\overline 7 \ meters}[/tex]

Reasons:

The direction in which Tom and Jimmy walks = Towards each other

The speed at which Tom walks = 52 meters per minute

The speed with which Jimmy walks = 70 meters per minute

The time at which Tom leaves = 4 minutes earlier than Jimmy

The point at which they meet = The café

The rate of their speed = Constant

Required:

The distance between Tom and Jimmy home.

Solution:

Tom and Jimmy had a plan to walk at the same speed and meet up at the café.

We have;

The café is equal distance from Tom and Jimmy's houses.

Which gives the following simultaneous equation.

52 × (4 + t) = The distance of Tom's house from the café

70 × t = The distance of Jimmy's  house from the café

52 × (4 + t) = 70 × t

52 × 4 = 70 × t - 52 × t = 18 × t

[tex]\displaystyle t = \frac{52 \times 4}{18} = \frac{104}{9} = 11.\overline{6}[/tex]

The time it take Jimmy to reach the café, t = [tex]\mathbf{11.\overline6}[/tex] minutes

The distance between their homes, d = 52 × (4 + t) + 70 × t

∴ d = 52 × (4 + [tex]11.\overline6[/tex]) + 70 × [tex]11.\overline6[/tex] = 1,617.[tex]\mathbf{\overline 7}[/tex]

The distance between Tom and Jimmy's home = 1,617.[tex]\overline 7[/tex] meters

Learn more about simultaneous equations here:

https://brainly.com/question/12413726

you are taking a typing class and can now type 30 words er minute. set up a proportion to solve for the amount of time it would take you to type 400 words

Answers

30 words/1 minute= 400 words/x minutes

Time needed to type 400 words is 13.3 minutes.

What is unit rate?

A unit rate means a rate for one of something.

Given that, you are taking a typing class and can now type 30 words per minute.

For 30 word, you need 1 minute.

Let you need x minutes for 400 words,

Therefore, the proportion will be,

1/30 = x/400

x = 400/30

x= 40/3

x = 13.33333 ≈ 13.3

Hence, you need 13.3 minutes to type 400 words.

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What is the next term of the geometric sequence?
108, 36, 12,


Pls lmk

Answers

Answer:

4

Step-by-step explanation:

Answer: 4

Step-by-step explanation: 108/3 is 36, 36/3 is 12, and 12/3 is 4. :)


Helena is planning to put new tile on her kitchen floor, the
dimensions of which are given above. Find the area, in square
feet, of the kitchen floor.
A. 58
B. 31,680
C. 356
D. 276

Answers

Answer: B

Step-by-step explanation:

c. What variable will be eliminated when the equations are combined after
the multiplication? (1 point)

Answers

Answer: The variable that will be eliminated when the equations are combined after the multiplication is y.

Step-by-step explanation: Happy to help :D

Erin is volunteering at a soup kitchen. At the start of her shift, she is provided with a 16.3-
ounce jar of peanut butter. She uses it to make peanut butter sandwiches, each with 0.8
ounces of peanut butter. How much peanut butter will be left after Erin makes 20
sandwiches?

Answers

Answer:

0.3

Step-by-step explanation:

total:16.3

20*0.8=16 (amount she will use)

16.3-16=0.3

my Christmas present to you​

Answers

and have a happy new year!

1
6 cm
Diagram NOT
accurately drawn
9cm
Scm
11 cm
2
6 cm
18 cm
The diagram shows a shape.
All of its corners are right angles.
Work out the area of the shape.

Answers

The area of the shape is 110 square centimeters

From the diagram, the shape can be subdivided into rectangles of the following dimensions:

6cm by 11cm5cm by 6cm7cm by 2cm

So, the area of the shape is the sum of the areas of the three rectangles.

This gives

[tex]Area = 6cm \times 11cm + 5cm \times 6cm + 7cm \times 2cm[/tex]

Evaluate the products

[tex]Area = 66cm^2 + 30cm^2 + 14cm^2[/tex]

Add the terms

[tex]Area = 110cm^2[/tex]

Hence, the area of the shape is 110 square centimeters

Read more about areas at:

https://brainly.com/question/8408690

NO LINKS!
Part A: Find the LCM of 5 and 12. Show your work. (3 points)

Part B: Find the GCF of 72 and 81. Show your work. (3 points)

Part C: Using the GCF you found in Part B, rewrite 72 + 81 as two factors. One factor is the GCF and the other is the sum of two numbers that do not have a common factor. Show your work. (4 points)

Answers

Answer:

Part A: 60

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60.

12, 24, 36, 48, 60.

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

Part B: 9

81 / 72 = 9

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

Part C: 9 (8 + 9)

GCF of 72 and 81 is 9...

Divide 72 by 9 and get 8.

Divide 81 by 9 and get 9.

To check multiply 9 with 8, and multiply 9 by 9.

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

Easy! :D (if you don't mind, may I get brainliest please?)

Use the parabola tool to graph the quadratic function f(x) = x2 – 12x + 27.
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
+ Move
Parabola
Undo
Redo
Rese
10
9
8
7
6
5
D
2
3
2
1

Answers

Answer:

7

Step-by-step explanation:

you would chose 7 because it has more and less value

Brienne stated that 0.33 and
1/3 are equivalent. Do you agree? Explain why or why
not.

Answers

Answer:

it is not

Step-by-step explanation:

0.33 is rounded off whereas 1/3 would have a continued decimal of 3, i.e. 0.333333333

find the value of x when y=37 y=9-7x

Answers

Answer:

-4

Step-by-step explanation:

The equation can be rewritten as

37=9-7x

Subtract 9 from both sides

28=-7x

Divide both sides by 7

4=-x

This means that X is equal to -4

7/8 minus1/4 minus 1/2

Answers

7/8 minus1/4 minus 1/2

7/8 - 1/4 - 1/2 =

(1 × 7)/(1 × 8) - (2 × 1)/(2 × 4) - (4 × 1)/(4 × 2) =

7/8 - 2/8 - 4/8 =

(7 - 2 - 4)/8 =

1/8

the answer is 1/8

A bird flies down from a higher elevation to a lower elevation at a rate of 3 meters per second. Which equation models the bird's change in elevation, in meters, after 120 seconds?

O A. (-120)(-3) = -360
O B. 120. 3 = 360
O C. 120(-3) = 360
O D. 120(-3) = -360

No links please​

Answers

Answer:

D

Step-by-step explanation:

Answer: The answer is 120(-3)= -360

Step-by-step explanation:

A. P. E. X.

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