If 1100 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Round to two decimal places if necessary.

Answers

Answer 1

volume= a^2 * h

area= a^2+4ah

take the second equation, solve for h

4ah=1100-a^2

h=1100/4a -1/4 a now put that expression in volume equation for h.

YOu now have a volume expression as function of a.

take the derivative, set to zero, solve for a. Then put that value back into the volume equation, solve for Volume.

Cited from jiskha


Related Questions

An just finished taking statistics, and wants to do a survey on the average salary of Spring 2019 HCC graduates. She calculates that the standard error of the mean is $128.13 after she surveyed a group of students who reported an annual income of $43,650 and she knows the population standard deviation is $2,050, how many students were randomly sampled by An?

Answers

Answer:

The appropriate answer is "256".

Step-by-step explanation:

Given:

Standard error,

SE = 128.13

Standard deviation,

[tex]\sigma[/tex] = $2050

As we know,

⇒ [tex]SE = \frac{\sigma}{\sqrt{n} }[/tex]

or,

⇒ [tex]\sqrt{n}= \frac{\sigma}{SE}[/tex]

By substituting the values, we get

         [tex]=\frac{2050}{128.13}[/tex]

         [tex]=\frac{205000}{12813}[/tex]

     [tex]n = (\frac{205000}{12813} )^2[/tex]

         [tex]=255.98[/tex]

or,

         [tex]=256[/tex]

   

A general contractor is constructing a building that requires a concrete foundation that is to be 20 feet by 22 feet and 24 inches thick. If the local home supply store sells concrete for $ 110 per cubic yard, what will be the cost of the concrete for the foundation?
Express your answer rounded up to the next whole dollar.

Answers

Answer:

$38427

Step-by-step explanation:

Surface Area Formula: A=2(wl+hl+hw) where l=length w=width h=height

A=2((20(22))+(22(2))+(20(2)) = 1048ft^2

3 ft = 1yds -> 1048 ft = 349 1/3 yds

349 1/3(110)= 38426.66666

$38427

Answer: $2,613,600

Step-by-step explanation:

Concept:

Here, we need to know the idea of unit conversion and a rectangular prism.

When there are multiple units occurring in the same question, then we should convert all the units into one by different conversion factors.

A rectangular prism is a three-dimensional figure that has 6 sides that are rectangles.

1 foot = 12 inches

1 yard = 3 feet

V (rectangular prism) = w · l · h

Solve:

24 inches = 24 / 12 = 2 feet

$110 per cubic yard = 110 × 3³ = $2970 per cubic feet

V = w · l · h

V = (20) (22) (2)

V = 880 feet³

880 × 2970 = $2,613,600

Hope this helps!! :)

Please let me know if you have any questions

Một công ty sản xuất ván trượt có thể bán một cái ván trượt với giá $60.

Tổng chi phí cho sản xuất bao gồm chi phí cố định là $1200 và chi phí để sản xuất một cái ván trượt là $35.

Nếu công ty đó bán được 80 cái ván trượt thì công ty đó

Answers

can you translate so I can help you out

At the school carnival, Jade has a game booth with a spinner. The banner at her booth reads "80% chance of winning!" What is the chance that a player may not win?

20%
40%
50%

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

20%

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

The banner reads that there is an 80% chance of winning a prize.

⸻⸻⸻⸻

[tex]100\% - 80\% = \boxed{20\%}[/tex]

⸻⸻⸻⸻

There is a 20% chance that the player would not win.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Given that 3x-7y=-27 and 5x+9y=17. Find the values of x and y that satisfy both equations, using elimination method.

Answers

here's the answer to your question

solve for x

3x-7y=-27

5x+9y=17

multiply 9, 7

27x -63y =-243

35x +63y = 119

add and cancel y out

62x = -124

x = -2

plug in x

-6-7y=-27

-7y=-21

y = 3

answer:

y = 3

x = -2

how do you tell how many times greater is the 5 in 458,039 than the 5 in 271,145

Answers

Answer:

count the number of places it is. The 5 in 458,039 is in the 10,000 place and the 5 in 271,145 is in the ones place so the 5 in 458,039 is 10,000 times greater

1,000
the 5 in 45,039 has a value of 1,000 while the 5 in 271,145 has a value of 1 and 1,000/1=1,000

Question 24 of 58
Four classmates collect data by conducting a poll. They
ask students chosen at random how many books they
have to read for English class.
• Kevin interviews 25 students.
• Mary interviews 92 students.
• Sydney interviews 24 students.
• Caleb interviews 31 students.
Whose results are probably the most trustworthy?
O A. Mary's
OB. Sydney's
C. Kevin's
D. Caleb's
SUBMIT

Answers

Answer: Mary

Mary is more trustworthy because she interviews more students, therefore has a more accurate range of answers.

Which of the following behaviors would best describe someone who is listening and paying attention? a) Leaning toward the speaker O b) Interrupting the speaker to share their opinion c) Avoiding eye contact d) Asking questions to make sure they understand what's being said

Answers

Answer:

D

Step-by-step explanation:

If you ask questions while their speaking it shows that you are paying attention to them. Avoiding eye contact could mean your thinking about something else or you aren't interested. Interrupting them is just being disrespectful. Leaning towards them doesn't really do anything other than you moving.

please help with math

Answers

Answer:

98

Step-by-step explanation:

2, 10, 18, 26, 34, 42, 50... 98

Hope this helps. Have a great day!

help me out, so I can confirm my answers...:)​

Answers

Answer:

Step-by-step explanation:

i) 18 - 2b = 5a

18 - 2b - 5a = 0

-2b -5a = -18

2b + 5a = 18

5a + 2b = 18

ii) 3a = 5b + 17

3a - 5b = 17

At this time x = 3, y = -5, c= 17

ax + by = c is equivelant to 3a -5b = 17

So another equation is:

3a - 5b = 17

Answer from Gauthmath

Step-by-step explanation:

18-2b=5a

we want to make 5a the subject so first we 5a to the left so our new equation is 5a+18-2b=0

then we move the 2b infront of the +18 so then our new equation is 5a+2b+18=0 then. we move the +18 to the other side to give 5a+2b=18

answer this now please :)

Answers

9514 1404 393

Answer:

  E.  384 cu ft

Step-by-step explanation:

The sum of length and width is half the perimeter, so the width is ...

  (40/2) -12 = 8 . . . feet

The depth is half that, so is 8/2 = 4 feet.

The volume is ...

  V = LWH = (12 ft)(8 ft)(4 ft) = 384 ft³

Graph the compound inequality on the number line. x > 7 or x < -4​

Answers

OSEAMENTE no se la respuesta

The graph shows the solution of the following system of equations. y=-5/3x+3 y=1/3x-3 What is the solution? A. (-3,2) B. (3,2) C. (-3,-2) D. (3,-2)

Answers

Answer:

(3,-2)

Step-by-step explanation:

-5/3x + 3 = 1/3x - 3

-5/3x = 1/3x - 6

-2x = -6

x = 3

y = -5/3(3) + 3

y = -5 + 3

y = -2

A uniform 41.0 kg scaffold of length 6.6 m is supported by two light cables, as shown below. A 74.0 kg painter stands 1.0 m from the left end of the scaffold, and his painting equipment is 1.4 m from the right end. If the tension in the left cable is twice that in the right cable, find the tensions in the cables (in N) and the mass of the equipment (in kg). (Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.)

Answers

Step-by-step explanation:

Let

[tex]m_p[/tex] = mass of the painter

[tex]m_s[/tex] = mass of the scaffold

[tex]m_e[/tex] = mass of the equipment

[tex]T[/tex] = tension in the cables

In order for this scaffold to remain in equilibrium, the net force and torque on it must be zero. The net force acting on the scaffold can be written as

[tex]3T = (m_p + m_s + m_e)g\:\:\:\:\:\:\:(1)[/tex]

Set this aside and let's look at the net torque on the scaffold. Assume the counterclockwise direction to be the positive direction for the rotation. The pivot point is chosen so that one of the unknown quantities is eliminated. Let's choose our pivot point to be the location of [tex]m_e[/tex]. The net torque on the scaffold is then

[tex]T(1.4\:\text{m}) + m_sg(1.9\:\text{m}) + m_pg(4.2\:\text{m}) - 2T(5.2\:\text{m}) = 0[/tex]

Solving for T,

[tex]9T = m_sg(1.9\:\text{m}) + m_pg(4.2\:\text{m})[/tex]

or

[tex]T = \frac{1}{9}[m_sg(1.9\:\text{m}) + m_pg(4.2\:\text{m})][/tex]

[tex]\:\:\:\:= 423.3\:\text{N}[/tex]

To solve for the the mass of the equipment [tex]m_e[/tex], use the value for T into Eqn(1):

[tex]m_e = \dfrac{3T - (m_p + m_s)g}{g} = 14.6\:\text{kg}[/tex]

A park is 5 miles east of Roxana's home. A library is 4 miles north of the park. How far is Roxana's home from the library? ​

Answers

Answer: 9 miles I think but I dont know where her house is exactly.

seven times a number decreased by the number is -48 . Find the number.

Answers

Answer:

a = -8

Step-by-step explanation:

Let the required number be "a".

Given that, seven times a number minus the number is -48

7 × a - a = -48

7a - a = -48

6a = -48

a = (- 48) / 6

a = -8

Can I get help with this? Ez points

Answers

9514 1404 393

Answer:

  (-1, -1), (-1, 5), (2, -1)

Step-by-step explanation:

All of the blanks are filled with -1. (see attached)

_____

The attachment also shows the solutions that maximize or minimize the value of z.

graph a line with the slope of 1/4

Answers

Answer:

Used graphing calculator:

Slope .25

y-intercept: 0

x-intercept: 0

Step-by-step explanation:

An Internet company reported that its earnings will be less than the 24 cents per share that was predicted. Write an inequality showing the possible earnings per share.

Answers

Answer:

e < 24 is the inequality which shows the possible earnings per share.

Explanation:

x, will stand for the variable for earnings and less than, means it will not be higher nor the same as 24. Thus, being leaves us with one sign. The open part facing 24 means that 24 is the bigger number, therefore the smaller side represents that x has to be smaller than 24.

Answer: x<24

Step-by-step explanation:

x, will stand for the variable for earnings and less than means it will not be higher nor the same as 24. Thus being leaves us with one sign. The open part facing 24 means that 24 is the bigger number therefore the smaller side represents that x has to be smaller than 24.

Select the correct answer. Shape 1 and shape 2 are plotted on a coordinate plane. Which statement about the shapes is true? A. Shape 1 and shape 2 are not congruent. B. A translation will prove that shape 2 is congruent to shape 1. C. A rotation and a translation will prove that shape 2 is congruent to shape 1. D. A reflection, a rotation, and a translation will prove that shape 2 is congruent to shape 1.

Answers

Answer:

Since I cant say which answer due to no graph, I'll tell you How to do so.

Step-by-step explanation:

if it is A, then the there is at least one angle or line length that is not the same. To find the area of a grided shape, use the traingle theorm of a^2+b^2=c^2.

if it is B, that meants moving the shape to the other will result in a perfect fit. Be sure to find if all side lengths are the same as that means that the shape IS congrouent, as equal side length means equal angles. However, it will not be this choice if the shape is mirrored to the other

A rotation and tranlastion means it is flipped either upside down or up and moved to the shape.

D, a reflection, which means its the opposite. Like a mirrored shape. Then you move it.

The ratio of boys to girls in a high school is found to be three to five. If a class has 12boys, how many girls would you expect to be in the class?

Answers

Answer:

20 girls

Step-by-step explanation:

boys: girls

3          5

There are 12 boys

12/3 = 4

Multiply each side by 4

boys: girls

3*4      5*4

12         20

Answer:

20 girls

Step-by-step explanation:

Divide 12 by 3 : 12/3 = 4

Multiply 4 by 5 : 4*5 = 20

How to solve following question?
In an upcoming election, 15% of married voters will vote for Candidate A, while the rest will vote for Candidate B; 80% of unmarried voters will vote for Candidate A, while the rest will vote for Candidate B. Which of the following represents the lowest percentage from all voters combined (married and unmarried) that must be unmarried (not married) in order for Candidate A to win the election?

Answers

Answer:

The lowest percentage from all voters combined that must be unmarried in order for Candidate A to win the election is 53.85%.

Step-by-step explanation:

Proportion married:

x are married

1 - x are unmarried.

Will vote for candidate A:

15% of x

80% of 1 - x. So

[tex]0.15x + 0.8(1-x)[/tex]

Candidate A wins:

If his proportion is more than 50%, that is:

[tex]0.15x + 0.8(1-x) > 0.5[/tex]

[tex]0.15x+ 0.8 - 0.8x > 0.5[/tex]

[tex]-0.65x > -0.3[/tex]

[tex]0.65x < 0.3[/tex]

[tex]x < \frac{0.3}{0.65}[/tex]

[tex]x < 0.4615[/tex]

Highest percentage of married is 46.15%, so:

The lowest percentage of unmarried is:

100 - 46.15 = 53.85%.

The lowest percentage from all voters combined that must be unmarried in order for Candidate A to win the election is 53.85%.

whats 5 + 5 i need help my iq is 1 i need help pls pls pls pls

Answers

Answer:

Here are some activities you can do to improve various areas of your intelligence, from reasoning and planning to problem-solving and more.

Memory activities. ...

Executive control activities. ...

Visuospatial reasoning activities. ...

Relational skills. ...

Musical instruments. ...

New languages. ...

Frequent reading. ...

Continued education.

It would be 10. If someone gives you 5 coins, and then another 5 coins, you would have 10 coins. I hope this helped.

Question 6 a-c if plz show ALL STEPS like LITERALLY EVERYTHING

Answers

9514 1404 393

Answer:

  a) quadrant III

  b) 4π/3, -2π/3

  c) (1/2, (√3)/2)

  d) ((√3)/2, -1/2

Step-by-step explanation:

a) The attachment shows the point P and the numbering of the quadrants (in Roman numerals). Point P lies in quadrant III.

__

b) Measured counterclockwise, the angle to point P is 240° or 4π/3 radians. Measured clockwise, the angle is -120° or -2π/3 radians. In the diagram, these are shown in green and purple, respectively.

__

c) Adding π/2 to the angle 4π/3 or -2π/3 brings it to 11π/6, or -π/6. This point is marked as P' (blue) on the diagram. The coordinate transformation for π/2 radians CCW rotation is ...

  (x, y) ⇒ (-y, x)

  P(-1/2, -√3/2) ⇒ P'(√3/2, -1/2)

In terms of trig functions, the coordinates of the rotated point are ...

  P'(cos(-π/6), sin(-π/6)) = P'(√3/2, -1/2)

__

d) Adding or subtracting π radians to/from the angle moves it directly opposite the origin. Both coordinates change sign. This point is P'' (red) on the diagram.

Determine a scalar c so that the angle between a = i + cj and b = i + j is 45°.​

Answers

Answer:

c=0

Step-by-step explanation:

ATQ a.b=|a||b|sin(45)

1+c=sqrt(1+c^2)*sqrt(2)*1/sqrt(2)

1+c=sqrt(1+c^2)

(1+c)^2=(1+c^2)

2c=0, c=0

The required simplified value of c is zero for which the angle between a and b is 45°.

What is a vector?

Vector is defined as the quantities that have both magnitude and direction are called a vector quantity and the nature of the quantity is called a vector.  

Here,
scaler product is given as,
a . b = |a|.|b|cos45
(i + cj). (i + j) = √[1² + c²] . √[1²+1²] × 1/√2
1 + c = √1 + c²

Squaring both sides
(1 + c)² = 1 + c²
1 + c² + 2c =1 + c²
2c = 0
c = 0

Thus, the required simplified value of c is zero for which the angle between a and b is 45°.

Learn more about vectors here,

https://brainly.com/question/13322477
#SPJ2


Use the graphing calculator to graph the function f(x) = Vx. Which table of values contains points that lie on the
graph of the function?

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Assuming your Vx means √x, the values in the f(x) column will be the square root of the values in the x column. That is the case for the first table shown (also attached).

commission received

Answers

Yes commission has been received

Answer:

Commission Received refers to a percentage amount received by the company (or) an individual on the total sales incurred. It is an indirect income/revenue recorded on the credit side of profit and loss account.

Step-by-step explanation:

mark me brainliest if my answer is correct

What is the volume of the prism below?

19.80 cubic units

553.02 cubic units

84.17 cubic units

42.09 cubic units

Answers

The volume of prism is,

⇒ V = 42.09 cubic units

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Base = 5.12

height = 4.11

Lenght = 4

Now, We can formulate;

The value of volume of prism is,

⇒ V = 1/2 (b x h) l

⇒ V = 1/2 (5.12 x 4.11) 4

⇒ V = 42.09 cubic units

Thus, The volume of prism is,

⇒ V = 42.09 cubic units

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ2

Find the distance between the two points (1.5,2.7) and (3.5,4.3) given in polar coordinates and using radians.

Answers

Answer:

2.56

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√(3.5 - 1.5)² + (4.3 - 2.7)²

√(2)² + (1.6)²

√(4) + (2.56)

√6.56

= 2.56

Alice wants to estimate the percentage of people who plan
on voting yes for the upcoming school levy. She surveys
380 individuals and finds that 260 plan on voting yes.
Identify the values needed to calculate a confidence interval
at the 90% confidence level. Then find the confidence interval.
zo10 z0.05 zo.025 zo01 z0.005
1.282 1.645 1.960 2.326 2.576
Use the table of common z-scores above.

Answers

Answer:

"[tex]0.6450 < p < 0.723[/tex]" is the right solution.

Step-by-step explanation:

Given:

n = 380

x = 260

Point estimate,

[tex]\hat p = \frac{x}{n}[/tex]

  [tex]=\frac{260}{380}[/tex]

  [tex]=0.6842[/tex]

Critical value,

[tex]Zc = 1.645[/tex]

Standard error will be:

[tex]S.E = \sqrt{\frac{0.6842(1-0.6842)}{380} }[/tex]

      [tex]=0.0238[/tex]

Margin of error will be:

[tex]E = Zc\times S.E[/tex]

   [tex]=1.645\times 0.0238[/tex]

   [tex]=0.0392[/tex]

hence,

Confidence level will be:

= [tex]\hat p \pm E[/tex]

= [tex]0.6842 \pm 0.0392[/tex]

= [tex]0.6450 < p < 0.723[/tex]

Other Questions
La seora Anglica fue al mercado y compr 2 visores protectores y 1 mascarilla, pag $55.00, en total. En el mismo puesto, la seora Silvia compr 1 visor protector y 2 mascarillas y pag $50.00. Cul es el precio de una mascarilla? Cules el precio de un visor protector? At this time next week sheto Bangkok. A. will fly B. will be flown C. will be flying Does anyone know the answer for this? I NEED HELP PLEASE! Can someone help me with the last two red boxes please? The rest of the question is for reference. Thank you for your time! Need help here please and thank u 44y + 321x = 0 bit x=30000 What makes people fight for their humanity in spite of horrendous challenges? use the ratio of a 45-45-99 triangle to solve for the variables. A cost is considered controllable at a given level of managerial responsibility if Group of answer choices it is a variable cost, but it is uncontrollable if it is a fixed cost. it changes in magnitude in a flexible budget. the cost has not exceeded the budget amount in the master budget. the manager has the power to incur the cost within a given time period. A stock is expected to pay annual dividends of $1.20 and sell for $42.60 three years from today. Which of these is the correct formula for computing the value of the stock today if the discount rate is 9 percent?A. Po = $1.20 ($1.20/1.09) + [($1.20+ $42.609)/1.09^2]. B. Po = ($1.20/1.09) + ($1.20/1.09^2) + ($42.60/1.09^2).C. Po = ($1.20/1.09) + ($1.20/1.09^2) + [(1.20+ $42.60)/1.09^2].D. Po = $1.20^2/1.09^2 + ($42.60/1.09^2). Certain traits and abilities made humans more adaptable to climate changes than other animals. Identify each trait as belonging to eitherhumans or animals.starved when main food source became limitedlearned to create and control firefor warmth during cold weatherhad no ability to control the environmentswitched to eating what was available whenmain food source became limited An airplane flies a distance of 800km from A to B. If its average speed is 600km/h, how long does it take to cover that distance? Look at this painting by Claude Monet. What makes it an impressionist painting? f(x) = x - 1. Find the inverse of f(x). Single-case experiments were developed from a need to determine whether an experimental manipulation has an effect on a single research participant. measure only a single dependent variable. overcome selection differences that occur in nonequivalent control group design. have a design that examines a measurement at only one point in time. Fill in the blank with the French word that best completes the sentence.L'histoire des Trois Petits ____lphantsOursCochonsChevaux Angles CED and CBD subtend the same arc. Determine the measure of CED.Question options:1) 1002) 1503) 3104) 50 Hector's Position:Hector was standing halfway between first and second base, at the grass line. Thegrass line is 95 feet from the pitcher's mound.6. Calculate the coordinates for Hector's position. [Note: We can assume that 95feet is an approximately horizontal distance from the pitcher's mound to the grassline.] (2 points: 1 for x, 1 for y)Hector was standing at the coordinate ( __, _).Calculate Hector's Throw: This is CIVICS IF UR CORRECT ILL GIVE BRAINLISTAccording to the laws of supply and demand, what will happen to the supply of automobiles if automobile prices fall?A. The supply of automobiles will decrease because consumers will buy more of them at higher prices. B. The supply of automobiles will increase because consumers will buy more of them at lower prices.C. The supply of automobiles will increase because consumers will buy more of them at higher prices.D. The supply of automobiles will decrease because consumers will buy more of them at lower prices. Please hurry I will mark you brainliest What is the equation of the line parallel to y = 2x - 4 and with the same x - intercept as 3x 4y = 12?