answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Semenov [28]
2 years ago
13

An open rectangular box with a square bottom must have a surface area of a square inches. Write a formula for the volume of the

box as a function of x. Your answer will also include the constant

Mathematics
1 answer:
slega [8]2 years ago
3 0

Answer:

Step-by-step explanation:

I think your question is missed of attach the photo of the box, allow me to add in and hope it will fit the original one

Here is my answer:

Let A is the surface area of the box

As we know that the surface area will be the sum of the four rectangular sides' areas and the base area (because this box is opened)

  • Base area = x²
  • Rectangular side area = xh

A = x² + 4xh

<=> (A - x²)/4x = h

and the volume formula is:

V = x²h

Substitute h from the formula of A to the formula of the Volume, we have:

V = (x²) * (A - x²)/4x

V = (Ax - x³)/4

Hope it will find you well.

You might be interested in
In an apartment complex with 28 units, 19 of the renters keep a pet. What percentage does not keep a pet?
Aleks04 [339]

If 19 out of 28 renters keep a pet, there are 28-19 = 9 renters who don't keep a pet.

Whenever you have a subset of some set, and you want to know which percentage of the set the subset represents, you simply have to compute

\dfrac{\text{number of elements in the subset}}{\text{number of elements in the set}}\times 100

So, in your case, you're wondering what percentage of 28 does 9 represent. So, the formula becomes

\dfrac{9}{28}\times 100 = 0.32\overline{142857}\times 100 = 32.\overline{142857} \approx 32.14\%

6 0
1 year ago
In a survey respondents were asked which type of movie they watched most often. the bar graph shows how many males and how many
Y_Kistochka [10]
Males that watched action movies : 13
males that watched drama movies : 5

so there are (13 - 5) = 8 more that watched action then drama
6 0
1 year ago
Read 2 more answers
Josef owns four par value $1,000 bonds from Dowc Beverage Co. Each bond has a market value of 104.561 and gives 9.2% interest. J
Alja [10]

<span>If the broker Josef employed to purchase these stocks and bonds charges a commission of $72 for each ten shares of stock bought or sold and a commission of 4% of the market value of each bond bought or sold, then </span>the bonds have a yield 1.35 percentage points higher than that of the stocks.

5 0
2 years ago
Read 2 more answers
an employee adds 160 fluid ounces of chemical to a feature that holds 120,000 gallons of water. did the employee add yhe correct
Hitman42 [59]
We are given a volume of 160 fluid ounces of chemical which is added to a container that holds 120,000 gallons of water. Assuming that the chemical has the same density as water, we just need to convert 120,000 gallons to ounces.

A conversion factor is taken from literature, 1 gallon is equivalent to 128 fluid ounces. So 160 fluid ounces is only 1.25 gallons, thus occupying minimal space in the container. The employee could add more of the chemical in the container. He can actually add 15360000 fluid ounces in total. 
5 0
1 year ago
A random sample of 35 undergraduate students who completed two years of college were asked to take a basic mathematics test. The
lisov135 [29]

Answer:

(75.1 -72.1) -1.66 \sqrt{\frac{12.8^2}{35} +\frac{14.6^2}{50}}= -1.96

(75.1 -72.1) +1.66 \sqrt{\frac{12.8^2}{35} +\frac{14.6^2}{50}}= 7.96

And the confidence interval would be given by:

-1.96 \leq \mu_1 -\mu_2 \leq 7.96

And since the confidence interval contains the value 0 we have enough evidence to conclude that we don't have significant differences between the two means at 10% of significance.

Step-by-step explanation:

For this case we have the following info given :

\bar X_1= 75.1 represent the sample mean for the scores of the undergraduate students

s_1 = 12.8 represent the standard deviation for the undergraduate students

n_1 =35 the sample size for the undergraduate

\bar X_2= 72.1 represent the sample mean for the scores of the high school students

s_2 = 14.6 represent the standard deviation for the high school students

n_2 =50 the sample size for the high school

The confidence interval for the true difference of means is given by:

(\bar X_1 -\bar X_2) \pm t_{\alpha/2} \sqrt{\frac{s^2_1}{n_1} +\frac{s^2_2}{n_2}}

The degrees of freedom are given by:

df=n_1 +n_2 -2= 35+50-2=83

The confidence level is 90% and the significance level is \alpha=0.1 and \alpha/2 =0.05 then the critical value would be:

t_{\alpha/2}= 1.99

And replacing the info we got:

(75.1 -72.1) -1.66 \sqrt{\frac{12.8^2}{35} +\frac{14.6^2}{50}}= -1.96

(75.1 -72.1) +1.66 \sqrt{\frac{12.8^2}{35} +\frac{14.6^2}{50}}= 7.96

And the confidence interval would be given by:

-1.96 \leq \mu_1 -\mu_2 \leq 7.96

And since the confidence interval contains the value 0 we have enough evidence to conclude that we don't have significant differences between the two means at 10% of significance.

8 0
1 year ago
Other questions:
  • Bruno uses a piece of wrapping paper with dimensions 1 and 1/4 feet by 3 feet to wrap a gift. What is the total area of the pape
    11·2 answers
  • What is the value of x? Enter your answer in the box. x =
    10·2 answers
  • Each student in a class plays one of three sports soccer, volleyball or basketball. 1/4 of them play soccer. 3/5 of them play vo
    15·1 answer
  • 12x+7&lt;−11 AND5x−8≥4012
    7·2 answers
  • Emily's family loves to work together in the garden. They have a slight preference for flowers, as 60percent of their plants are
    9·1 answer
  • Professor Perez used a spreadsheet to compile the data shown. Which value best approximates the
    11·2 answers
  • Given f(2) = 2x – 3, find f(1).
    14·1 answer
  • Type the correct answer in each box. Spell all the words correctly, and use numerals instead of words for numbers. If necessary,
    12·2 answers
  • Daria pays x dollars for a pair of shoes. The tax on shoes is
    14·2 answers
  • Divide and find quotient and reminder 4x³+6x²+19x-5 by 2x+5​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!