(1 point) An open-top box is to be constructed from a 8 \ \mbox{in} by 14 \ \mbox{in} rectangular sheet of tin by cutting out squares of equal size at each corner, then folding up the resulting flaps. Let x denote the length of the side of each cut-out square. Assume negligible thickness. (a) Find a formula for the volume, V, of the box as a function of x. \ \ V(x)

Answers

Answer 1

Answer:

Volume=[tex]4x^3-44x^2+112x[/tex]

Step-by-step explanation:

Let x denotes the length of the side of each cut

After Cutting square length will be=8-2x (where 2x for 2 squares as on each side two corners are there thus 2 squares will be cut down)

After cutting square width will be=14-2x (where 2x for 2 squares as on each side two corners are there thus 2 squares will be cut down)

Height = x

Volume=Length*width*Height

Volume=(8-2x)*(14-2x)*x

On solving we will get:

Volume=[tex]4x^3-44x^2+112x[/tex]


Related Questions

What is the total surface area of the following square pyramid?

Answers

Answer:

The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .

Step-by-step explanation:

Answer:

hey dude, sorry if this is wrong but i think its 6cm

Step-by-step explanation:

Solve for x
15 points for prize

Answers

×=20°

Hope this helps :)

quinn is playing in a trivia competition he earns 50 points for each correct response c he loses 25 points for each wrong response w. which expression represents Quinn's total points in the trivia competition​

Answers

Answer:

50c – 25w

Step-by-step explanation:

?? Anyone know what the answer to this is

Answers

9514 1404 393

Answer:

  (d)  7

Step-by-step explanation:

Put the number where x is and do the arithmetic.

  f(2) = 2(2²) -2 +1 = 2(4) -2 +1 = 8 -2 +1 = 6 +1

  f(2) = 7

Guyyyysss ;( please help me with this

Answers

I think it’s A. I don’t know if i’m right but that’s what I would put.

Answer: A) 2+3i

Step-by-step explanation:

Given

2-3i

Solve:

The formula for quadratic function: x=[-b±√(b²-4ac)]/2a

Through the formula, we get two solutions. One of them is 2-3i.

Since the first part is (something)±(something), the other solution will be 2+3i

Hope this helps!! :)

Please let me know if you need further explanations

The population of a southern city follows the exponential law. If the population doubled in size over 19 months and the current population is 50,000​, what will the population be 5 years from​ now?

Answers

Answer:19=2x/yr..(407936.5)

Step-by-step explanation:

Use a calculator to approximate to expression to the nearest thousandth.
log, 3.8

Answers

Answer:

#3 1.92599941856

Step-by-step explanation:

PAST DUE DATE NEED DONE NOW! NO LINKS! HELP ME FIND THE EQUATION

Answers

To write an equation for this line, you first need to understand how to derive it.

Let's utilize slope-intercept form, as it's the easiest to understand compared to any other form for line functions:

y = mx + b

m: The slope of the line

b: The y-intercept (The point where the line is at the y-axis)

Now that we've defined our variables, how do we go about making the actual equation? Let's start off with the slope, m.

The slope is a measure of how high or low the line is. The number is a ratio between the rise and run of a slope. In other words, it is essentially [tex]\frac{rise}{run}[/tex]

Let's look back at the graph. In the time interval from 1 to 2 seconds, we see that the line rises by 22 feet. Because the time interval is only 1 second, the run is 1 second.

Therefore:

m = [tex]\frac{rise}{run}[/tex]

m = [tex]\frac{22}{1}[/tex]

m = 22

We now have the first variable of the equation.

y = 22x + b

What about b? As we established earlier, b is the value of coordinate y at the y-intercept. Essentially, to find b we need to know what the value of y is when the coordinate x is 0.

As you can see from the graph you made, the value of y when x is 0 is also 0. This makes sense, too. How can the cheetah travel distance at 0 seconds when it obviously hasn't started moving? We now know b = 0. Now, we have gotten all of the variables we need to make a full equation:

y = 22x + 0

y = 22x

If you'd like me to explain how I did anything, just ask!

- breezyツ

Answer:

Equation: y=22x + 0 (you can put 0 if you want)

Step-by-step explanation:

Okay, so this is set up as a y=mx+b equation meaning that m=rate of change and b=y-intercept. If a cheetah runs 22 feet per second which is x, that means that m=22. And if 1 second is equal to 22 feet then in 0 seconds they run 0 feet, which is your y-intercept. Another way to find the rate of change (m) is by using the equation y2-y1/x2-x1 or 44-22/1 in this case. This equation is usually written as y=22x.  Hope this helps!

You are going to the movies with your family. Adult tickets cost $12.50 each. Children's tickets cost $9 each. The other expenses come to $25. Which expression can be use to figure out how much is spent, regardless of how many children and adults come?

A. 12.50 + 9 + 25

B. 12.50c + 9a + 25

C. 12.50a + 9c = 25

D. 12.50a + 9c + 25

Choose one answer.

Answers

I believe the answer would be D. 12.50a+9c+25

Paul bought six sodas during three days of vacation. How many days will Paul have to spend on vacation before he will have bought a total of 12 sodas?

Answers

Answer:

6 days

Step-by-step explanation:

6sodas x2=12

3days x2= 6

Ann took a taxi home from the airport. The taxi fare was $2.10 per mile, and she gave the driver a tip of
$5. Ann paid a total of $49.10.

Answers

Answer:

Ann went 21 miles in the taxi

Step-by-step explanation:

The sum of two numbers is -45. The difis -89. Find the numbers larger and smaller

Answers

Answer:

22,-89

Step-by-step explanation:

let the numbers be x and y .

x+y=-45

x-y=-89

add

2x=--134

x=-67

-67+y=-45

y=-45+67=22

How do I solve this???

Answers

Answer:

Step-by-step explanation:

How to find the smallest integer k such that 60k is a perfect square

Answers

9514 1404 393

Answer:

  k = 15

Step-by-step explanation:

Look for the missing factors that make all of the factors of 60k be squares.

  60 = 2² × 3 × 5

The factors 3 and 5 each have an odd exponent (1), so those two factors must be part of k.

  60k = 2² × 3 × 5 × k

is a perfect square when ...

  3 × 5 = k = 15

For k = 15, 60k = 900 = 30²

A scale drawing of an NFL god post uses a
scale of 2 inches = 5 feet. If the actual width
of the goal post is 182 feet, what is the width
of the goal post on the drawing?

Answers

It would be 455 inches because you divide 5/2 and it is 2.5 then you multiply it by 182 which is 455

Which graph below shows a linear equation with a slope of 2 and a y-intercept of −2?

Answers

Answer:

the first one :)

Step-by-step explanation:

just trust me

Answer:

I posted a photo of your graph below.

Step-by-step explanation:

it should look like this.

Find the missing measures using trig

Answers

X= cos^-1 (26.2/27)
x=14

Answer:

Step-by-step explanation:

A store owner paid $15 for a book. She marked up the price of the book by 40% to determine its selling
price.
Part A
What is the selling price, in dollars, of the book?
Enter your answer in the box.
$
Part B
A customer buys a different book that has an original selling price of $38. The bodk is discounted 25%.
The customer must pay a 6% sales tax on the discounted price of the book.
What is the total amount, in dollars, the customer pays for the discounted book?
Enter your answer in the box.
$

Answers

Answer:

The Part A answer would be 25% selling price. For Part B 10% would be the retail for the book.

Step-by-step explanation: 40% the less price 25% then next 25% less 10%.

PLEASE HELP! AHH I NEED HELP ASAP . PLUS ITS 6th GRADE MATH

Answers

The answer is 25

Combind like terms the 3z+z which equals 4z then  subtract 25 from both sides.  Meaning 25-25 and 125-25. After you minus you get 100. The set up should look like this: 4z=100 then you divide it by 4z on both sides your answer should be z=25.

Hope this helps!

write down the temperature reading(in°c)​

Answers

Answer:

How do you write temperature in Celsius?

Step-by-step explanation:

This is sometimes solved by using the symbol °C (pronounced "degrees Celsius") for a temperature, and C° (pronounced "Celsius degrees") for a temperature interval, although this usage is non-standard.

Hope it helps

Answer:

the answer would be (in words) what ever number is said and then degrees Celsius

Step-by-step explanation:

PLZ IF YOU DONT KNOW THE ANSWER DONT HELP MEE I HAVE TO PASS THIS SO I CAN PASS MATH THANK YOU VERY MUCH (The box number matches the questions number)


1) Which value is the same for box plots A and B?

A) Median


B) Range


C) IQR


D) Minimum


2. Which value is greater for box plot A than B?

A) Median


B) Range


C) IQR


D) Minimum


3. Which value is not the same for box plots A and B?

A) Median


B) Range


C) IQR


D) Minimum

Answers

1) Not sure. The only thing that is the same is the lower quartile but that’s not an answer choice. Maybe your teacher taught it differently.
2) D. Minimum
3) C. IQR

Melody buys a pair of jeans that is priced at $14.95 before tax. (Tax rate is 8.95%). Is the final amount cheaper or more expensive than the original price?

Whoever answers correctly will get Brainliest!

Have an amazing day!! :)))

Answers

Answer:

More expensive

Step-by-step explanation:

The price will be about 16.29.

I WILL MARK YOU AS BRAINLIEST ANSWER!!!!! Problem B: Jasper invests a total of 250,000 L$ (Linden dollars). He splits his
investment between a 30-day Linden Bank CD that pays 7% interest at the end of the
term and a 30-day Second Life real estate investment scheme organized by his brother
that ends up losing 4% of its original value at the end of 30 days. At the end of the 30
days, Jasper makes 2,100 L$. How much did Jasper invest in the CD and how much
did he invest in the real estate scheme?

Answers

Okjsndmdkdldkjdjdkeme

Two chemical companies can supply a raw material. The concentration of a particular element in this material is important. The mean concentration for both suppliers is the same, but you suspect that the variability in concentration may differ for the two companies. The standard deviation of concentration in a random sample of
n1=10
batches produced by company 1 is
s1=4.7
grams per liter, and for company 2, a random sample of
n2=16
batches yields
s2=5.8
grams per liter. Is there sufficient evidence to conclude that the two population variances differ? Use α = 0.05.

Answers

Answer:

As the calculated F lies in the acceptance region therefore we conclude that there is not sufficient evidence to support the claim that the variability in concentration may differ for the two companies. Hence Ha is rejected and H0 is accepted.

Step-by-step explanation:

As we suspect the variability of concentration F - test is applied.

n1=10    s1=4.7

n2=16      s2=5.8

And α = 0.05.

The null and alternate hypothesis are

H0: σ₁²=σ₂²       Ha:  σ₁²≠σ₂²

The null hypothesis is  the variability in concentration does not  differ for the two companies.

against the claim

the variability in concentration may differ for the two companies

The critical region F∝(υ1,υ2) = F(0.025)9,15= 3.12

and 1/F∝(υ1,υ2) = 1/3.77= 0.26533

where υ1= n1-1= 10-1= 9 and υ2= n2-1= 16-1= 15

Test Statistic

F = s₁²/s₂²

F= 4.7²/5.8²=0.6566

Conclusion :

As the calculated F lies in the acceptance region therefore we conclude that there is not sufficient evidence to support the claim that the variability in concentration may differ for the two companies. Hence Ha is rejected and H0 is accepted.

Can anyone help me understand this assignment

Answers

Step-by-step explanation:

I know you said to help but I did everything, just adjust the reasons like how your teachers give them I abbreviated mine

helppppp thankkksssss

Answers

Answer:

1; -5; -14; -20; -26

Step-by-step explanation:

y=-3(2) +7

y= -6+7

y= 1

y=-3(4) +7

y= -12+7

y= -5

y=-3(7) +7

y= -21+7

y= -14

y=-3(9) +7

y= -27+7

y= -20

y=-3(11) +7

y= -33+7

y= -26

Answer:

In the equation, just replace the x with one of the numbers in the table, and solve the equation. It's that simple.

Have a feeling you lied about being in "college"


3 by 5 ratio 8 by 9

Answers

Answer:

5:24

Step-by-step explanation:

Given data

3 by 5

=3*5

=15

8 by 9

=8*9

=72

Hence the ratio is

15:72

Equivalent to

5:24

Hauls Vegetable Market has the folloeing vegetables for sale.

Carrots cost 3.50$ per pound
Cucumbers cost 0.69$ per pound
Squash cost 2$ per pound

What will be the ckst for 2 1/2 pounds of carrots and 3/4 pound of squash cost​

Answers

Answer:

The cost of 2 1/2 pounds of carrots and 3/4 pound of squash is $ 10.25.

Step-by-step explanation:

Since Hauls Vegetable Market sells carrots that cost $ 3.50 per pound, cucumbers that cost $ 0.69 per pound, and squash that cost $ 2 per pound, to determine what will be the cost for 2 1/2 pounds of carrots and 3/4 pound. of squash the following calculation must be performed:

1/2 = 0.5

3/4 = 0.75

Carrots: 3.50 x 2.5 = 8.75

Squash: 2 x 0.75 = 1.50

8.75 + 1.50 = 10.25

Thus, the cost of 2 1/2 pounds of carrots and 3/4 pound of squash is $ 10.25.

f(x) = 2 x + 5, g(x) = x - 1

asked = f(x) • g(x)

please help..​

Answers

Answer:

2x² + 3x - 5

Step-by-step explanation:

(2x + 5)(x - 1)

2x² - 2x + 5x - 5

2x² + 3x - 5

People leaving the library were asked how many books they checked out that day. The results are: 1, 2, 2, 3, 3, 4,4,5,5, 6, 6, 7, 8, 10, 10 Which histogram correctly shows the data set? Pls don't put files on different site pls just type it on brainy.

Answers

Answer:

W

Step-by-step explanation:  

Its w trust me

Answer: the answer is a

Step-by-step explanation:

your welcome!! Hope this helped!

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