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

Translate to an inequality. Use the variable x.
A number is less than 15.

Answers

Answer:

that's the correct answers

Step-by-step explanation:

thanks for your

To translate the statement "A number is less than 15" into an inequality using the variable x, we write:

x < 15

This inequality indicates that the value of x is any number that is smaller than 15. In other words, x can be any real number in the open interval (-∞, 15). It represents a wide range of values from negative infinity up to, but not including, 15.

This statement is not restrictive and allows for infinite possibilities for x, as long as it is smaller than 15. The inequality x < 15 leaves ample room for a wide variety of numerical solutions.

Therefore, to translate the statement "A number is less than 15" into an inequality using the variable x, we write:

x < 15

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WILL GIVE BRAINLY,5 STARS,AND THANKS

Answers

Answer:

Step 1: 10 group(s) of 23 = 230

Step 2: 6 group(s) of 23 = 138

Step 3: Add the partial quotients: 10 + 6 = 16

Step-by-step explanation:

For step one you can tell that 230/10 is 23. You can tell this because of the zero at the end of the number. Anything multiplied by 10 is that number but  with a zero at the end. For step 2 you kind of have to do long division, or you can use a calculator. You will end up with 6. When you add the partial quotients, it means add the answers to steps 1 and 2 together and get 16. This should be right hope it helps!

Answer

From the results, we can conclude:





230=23×10

138=23×6

Therefore:



Step 1: 10 groups of 23 = 230

Step 2: 6 groups of 23 = 138



Step 3: Add the partial quotients: 10 + 6 = 16

answer 10 + 6 = 16

What is the percent decrease of the price of a bicycle if the original price was $120 and the sale price is $80?

Answers

Answer:

33.3%

Step-by-step explanation:

1. Formula: difference/original

2. 120 - 80 = 40

3. 40/120

4. 1/3

5. 1/3 = 33.3%

What is the equation of the line that passes through the point ( 4 , 4 ) and has a slope of 0

Answers

Answer:

y=4

Step-by-step explanation:

x1=4,y1=4,m=0

Equation of a line: y-y1=m(x-x1)

y-4=0(x-4)

y-4=0

y=4

find the sequence 5n+1

Answers

Answer:

Their are many answers for that seqence such as

1,6,11,16,21, etc..

Answer:

6,11,16,21,26,31,36...

Step-by-step explanation:

5x1=5 +1=6

5x2=10+1=11

...

What is the total of 6, 4.25, and 7.74?

Answers

Answer:

17.99

Step-by-step explanation:

You answer will be 17.99

Need help asap!! :) 2. Solve for x.

Answers

Answer: x = 12
Ok done . Thank to me :>


8
Find the arc length of the partial circle.
units

Answers

Answer:

How to solve ???

Arc Length = θ × (π/180) × r, where θ is in degree.

Radius and the sector area:-

Multiply the sector area by 2.Then divide the result by the radius squared (the units should be the same) to get the central angle in radians.Multiply the central angle by the radius to get the arc length.

Let's solve ur question :-

Answer :-

The Arc length of the given partial circle is 4π units or 12.56 units .

Used formulae :-

The length of the Arc is "I" units , the radius "I" units and the angle subtended by the Arc at the center is "X" is ( X° / 360° ) x 2πr units .

Circumference of the circle = 2πr units .

π = 3.14

Step-by-step explanation:

Ur answer with proof refer to above attachments .

Hope this helps you XD ✌️

Answer:

Step-by-step explanation:

Hope this helps!

Write in point-slope form an equation of the line that passes through the
point (5, 9) with slope 7.

Answers

Answer:

y = 7x -26

Step-by-step explanation:

[tex]y-9=7(x-5)[/tex]

[tex]y=7x-35+9[/tex]

[tex]y=7x-26[/tex]

Hope this helps

A forest covers 73,000 acres. A survey finds that 0.4% of the forest is old-growth trees. How man acres of old-growth trees are there?

There are__?__ acres of old-grown trees.

Answers

Answer:

292 acres.

Step-by-step explanation:

OK so if there are 73,000 acres of trees in total and 0.4% are old we would simply calculate what 0.4% of 73,000 which is 292. So of those 73,000 acres of trees 292 acres of them would be "old-growth trees".


Which expression is equivalent to -9x^-1y^-9/-15x3y-3? Assume x & y ≠ 0

Answers

Step-by-step explanation:

when we have multiplications of fractions, we can simply "break" the multiplications apart, simplify every fraction, and then combine the results again.

-9/-15 = 3/5

x^-1/x⁵ = 1/x¹x⁵ = 1/x⁶

y^-9/y^-3 = y³/y⁹ = 1/y⁶

so, when we multiply the 3 fractions again, we get

3/(5x⁶y⁶)

which is the second answer option.

please help me :(
NO LINKS PLEASE

Answers

Answer:

Option A

Step-by-step explanation:

Given equation is:

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

Setting it up as a quadratic equation.

[tex]x^2+1-2x+3=0\\\\x^2-2x+4=0[/tex]

Comparing it with quadratic equation [tex]ax^2+bx+c=0[/tex], we get:

a = 1 , b = -2 , c = 4

Putting the values in quadratic equation:

[tex]\displaystyle x = \frac{-b +-\sqrt{b^2-4ac} }{2a} \\\\x = \frac{-(-2)+-\sqrt{(-2)^2-4(1)(4)} }{2(1)}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Answer:

A

Step-by-step explanation:

a = 1, b = -2, and c =4

d = -b +- sqrt (b^2 - 4*a*b)

= - (-2) +- sqrt ((-2)^2 - 4*1*4)

Charisse collects antique salt and pepper shakers. The value of her cactus salt and pepper shakers is shown (56.28$). The value of these salt and pepper is expected to change by an average of -2 2 over 5% per year. What is the value of the salt and pepper shakers projected to be in two years? | Can I get explanation too thanks!

Answers

Answer:

  $53.61

Step-by-step explanation:

It looks like the rate of change is supposed to be -2 2/5% = -2.4% per year. That means the "growth factor" is ...

  growth factor = 1 + growth rate

  growth factor = 1 -2.4% = 1 -0.024 = 0.976

Each year, Charisse's cactus salt and pepper shakers will have their value multiplied by this factor. After 2 years, their value will be ...

  ($56.28)(0.976)(0.976) = $56.28×0.976^2 ≈ $53.61

The value is projected to be $53.61 in 2 years.

Your family is
moving. A rental truck
costs $40, plus $0.15 for
every mile driven. Write
an equation to
represent the total
cost, c, of the moving
truck.

Answers

Answer: 4.15

Step-by-step explanation:

please solve quickly

Answers

Step-by-step explanation:

first you need to find the height

V = L×W×H

the volume your given is 880mm³

length is 22mm

width is 8mm

height is unknown

furthermore

V=L×W×H

880mm³= 22mm×8mm×H

880mm³= 176mm²×H

880mm³/176mm²=176mm²/176mm²×H

5mm=H

H=5mm

Surface Area= S.A

therefore S.A=2(L×W+ W×H +L×H)

=2(22mm×8mm+8mm×5mm+22mm×5mm)

=2(176mm²+40mm²+ 110mm²)

=352mm²+80mm²+220mm²

=652mm²

Help help help help math

Answers

area=147 cm squared

7 x 7 = 49

49 x 3 = 147

The table represents the function f(x).
x
-3
-2
-1
0
1
2
3
f(x)
-9
-6
-3
0
3
6
9
What is f(3)?
-9
-1
1
9

Answers

Answer:

f(3) = 9

Step-by-step explanation:

The value for f(3) is given in the table (last entry)

But one can see that the function, f, is:

f(x) = 3x

This works for all values.  f(3) = 3*3 or 9

The range of the function when x = 3 is f ( 3 ) = 9

What are domain and range?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the input values of the function be x

where x = { -3 , -2 , -1 , 0 , 1 , 2 , 3 }

Let the output values of the function be y

where y = { -9 , -6 , -3 , 0 , 3 , 6 , 9 }

So , the range of the function when x = 3 is

f ( 3 ) = 9

Hence , the function is solved

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How much water do you need to add to make each concentration?

1% sugar syrup using 12 g sugar

Answers

Answer:

108 g of water

Hope This Helps!!!

What is the slope of the line2y+x=-3. Write your answer in simplest form.

Answers

Answer:

x+2y=-3

Step-by-step explanation:

Castel and Kali are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Castel sold 2 rolls of plain wrapping paper and 5 rolls of holiday wrapping paper for a total of $89. Kali sold 9 rolls of plain wrapping paper and 10 rolls of holiday wrapping paper for a total of $213. What is the cost each of one roll of plain wrapping paper and one roll of holiday wrapping paper?

please help, am not good at word problems. I will also give the brainliest answer.​

Answers

Answer:

Plain is $7 and Holiday is $15

Step-by-step explanation:

Castel: 2p + 5h = 89

Kali: 9p + 10h = 213

Double Castel's: 4p + 10h = 178

Subtract fro Kali's   9p + 10h = 213

                              - 4p + 10h = 178

5p = 35

p = 7  Plain is $7

Substitute 7 into one of the equations and solve for h:

2(7) + 5h = 89

14 + 5h = 89

5h = 75

h = 15  Holiday is $15

Select the correct answer.
Triangle ABC is reflected across the yaxls and then dilated by a factor of 2 centered at the origin. Which statement correctly describes the
resulting Image, triangle DEF?

Answers

Answer: B

Step-by-step explanation:

Reflection does preserve side length and dilation preserves angles.

The solution is Option B.

The reflection preserves the side lengths of the triangle ABC and the dilation preserves angles but not side lengths

What is Reflection?

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.

The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

Given data ,

Let the triangle be represented as ΔABC

Now , Triangle ABC is reflected across the y-axis and then dilated by a factor of 2 centered at the origin

And , when you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

So , only the x coordinate of the point changes and there is no change in the angles or the side lengths

Now , dilation changes the side lengths of the triangle by a factor of 2

But there is no change in the angles of the triangle after a dilation

Hence , reflection preserves the angles and side lengths of a triangle

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Choose the best response to the question below:

Answers

The ANSWER is a. 6x^5

When multiplying the same variable to different exponents add the exponents and multiply the constant numbers:

3x x 2x = 6x

^2 + ^3 = ^5

Answer is a. 6x^5

Math makes me think I shouldn’t be alive anyway the question is in the picture

Answers

Answer: y=(x)+40
First use rise over run which is 1/1
Next find the y-int which is 40
Answer is y=(x)+40.

Will mark brainliest

Answers

Answer:

The heart is in the Quadrant IV

Answer:

your anwser would be IV please mark brianliest

Step-by-step explanation:


How to write a line segment

Answers

Answer:

In geometry, you will write a line segment using the letters for each of the end points and a line over the top of the letters.

Bob's Gift Shop sold 350 cards for Mother's Day. One salesman, Bentley, sold 2% of the cards sold for Mother's Day. How many cards did Bentley sell?

Answers

2% of 350 is 7, so Bentley sold 7 cards on Mother's Day

The points (2, 1) and (0, –11) fall on a particular line. What is its equation in slope-intercept form?

Answers

y=6x+-11 because we’ll actually i don’t have a because i just need to have at least 20 characters

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

What is the answer to this?

Answers

Answer:

[tex]\frac{12}5[/tex]

Step-by-step explanation:

The easiest way to find the tangent is to calculate the ratio of opposite side over the adjacent, or [tex]\frac{12}5[/tex]

We know

[tex]\\ \sf{:}\Rrightarrow tan\Theta=\dfrac{Perpendicular}{Base}[/tex]

Now

[tex]\\ \sf{:}\Rrightarrow tanT=\dfrac{SU}{TU}[/tex]

[tex]\\ \sf{:}\Rrightarrow tanT=\dfrac{12}{5}[/tex]

find the quotient 8^6/8^2

Answers

Answer:

4096

Step-by-step explanation:

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