An open-top box is to be constructed from a sheet of tin that measures 36 inches by 20 inches by cutting out squares from each corner as shown and then folding up the sides. Let V(x) denote the volume of the resulting box.

Answers

Answer 1

Answer:

[tex]V(x)=4x^3-112x^2+720x[/tex]

Step-by-step explanation:

[tex](36-2x)(20-2x)x[/tex]

[tex](720-72x-40x+4x^2)x[/tex]

[tex](4x^2-112x+720)x[/tex]

[tex]4x^3-112x^2+720x[/tex]

Therefore, the resulting volume would be [tex]V(x)=4x^3-112x^2+720x[/tex]


Related Questions

Factor the expression to fill in the blank. 25 + 45 = ? (5 + 9)

Answers

Answer:

25 + 45 = 5 (5 + 9)

Step-by-step explanation:

25 + 45 = ? (5 + 9)

Step 1: 25 ÷ 5 = 5

Step 2: 25 ÷ 9 = 5

? = 5

ANSWER: ? = 5
Ok done. Thank to me :>

Prove that
sin 75-sin 15=cos 105+cos 15​

Answers

Answer:

 

Step-by-step explanation

RHS = cos 105° + cos 15°

         = cos (90° + 15°) + cos (90° – 75°)  

         = – sin 15° + sin 75°

         = sin 75° – sin 15°

          = LHS

Answer:

Step-by-step explanation:

sin75-sin15

=sin (90-15)-(-cos (90+15))

=cos 15+cos 105

Which is equivalent to vg*
Og
O 78%
12784
8 4x

Answers

Answer:

  (c)  (12th root of 8)^x

Step-by-step explanation:

The applicable rules of exponents are ...

  [tex](a^b)^c=a^{bc}\\\\\sqrt[n]{a}=a^{1 \! /n}[/tex]

In this case, we have ...

  [tex](\sqrt[3]{8})^{x/4}=8^{1/3\cdot x/4}=8^{x/12}=\boxed{\left(\!\sqrt[12]{8}\right)^x}[/tex]

I need help on these functions questions

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

Substitute x = - 1 into f(x)

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

(b)

Substitute x = [tex]\frac{1}{3}[/tex] into g(x)

g([tex]\frac{1}{3}[/tex] ) = [tex]\frac{9}{\frac{1}{3} }[/tex] = 9 × 3 = 27

(c)

Substitute x = f(x) into h(x)

h(6 - 2x)

= 6 + (6 - 2x)² ← expand using FOIL

= 6 + 36 - 24x + 4x² ← collect like terms

= 4x² - 24x + 42

(d)

Substitute x = f(x) into g(x)

g(6 - 2x)

= [tex]\frac{9}{6-2x}[/tex]

(e)

Evaluate g(12) then substitute value obtained into f(x)

g(12) = [tex]\frac{9}{12}[/tex] = [tex]\frac{3}{4}[/tex] , then

f([tex]\frac{3}{4}[/tex] ) = 6 - (2 × [tex]\frac{3}{4}[/tex] ) = 6 - [tex]\frac{3}{2}[/tex] = [tex]\frac{9}{2}[/tex]

(f)

Evaluate f(- 9) then substitute the value obtained into h(x)

f(- 9) = 6 - 2(- 9) = 6 + 18 = 24 , then

h(24) = 6 + 24² = 6 + 576 = 582

5x + y = 11
3x − y = 9

Answers

Answer:

x = 5/2y = -1.5

Step-by-step explanation:

5x + y = 11

        3x − y = 9

=> 5x + y = 11

           +3x − y = +9

=> 8x = 20

=> x = 20/8

=> x = 5/2

=> 5(5/2) + y = 11

=> 25/2 + y = 11

=> 12.5 + y = 11

=> y = 11 - 12.5

=> y = -1.5

Therefore, the answers are:

x = 5/2y = -1.5

Hoped this helped.

[tex]BrainaicUser1357[/tex]

Suppose log7(10) = a and log7( 5) = b. Use the change-of-base formula along with properties of
logarithms to rewrite each expression in terms of a and b.

Answers

Step-by-step explanation:

log 10/log7=a

log10=alog7

log10=log7^a

10=7^a

log 5/log7=b

log5=blog7

log5=log7^b

5=7^b

132.16 divided by 16

Answers

Answer: 8.26

Step-by-step explanation:

Should I Explain How I got it?

132.16 divided by 16 is equal to 8.26.

Here, we have,

given that,

132.16 divided by 16

so, we have, 132.16 ÷ 16

To find the quotient of 132.16 divided by 16,

we can perform long division:

    8.26

____________

16 | 132.16

112

____________

20

Therefore, 132.16 divided by 16 is equal to 8.26.

To learn more on division click:

brainly.com/question/21416852

#SPJ6

Find the value of k so that (x + 3) is a factor of H(x) = 3x^3 – 2x^2 + kx – 3.

A. 34
B. 20
C. -20
D. -34
E. 32

Answers

D. -34

Explanation:

3(-3)³ - 2(-3)² + (-3)k - 3 = 0

-81 - 18 - 3k - 3 = 0

3k = -102

k = -34.

Find the exponential function f(x)=ab^x that satisfies the conditions f(0)=-4 and f(-2)=-64.
f(x)=

Answers

[tex]f(x) = ab^x~\hfill \begin{array}{llll}\textit{we know that}~f(0)=-4\begin{cases}x=0\\f(x)=-4\end{cases}\\\\-4=ab^0\implies -4=a(1)\implies -4=a\end{array}\\\\\\\stackrel{therefore}{f(x)=-4b^x}~\hfill \textit{we also know that}~f(-2)=-64\begin{cases}x=-2\\f(x)=-64\end{cases}[/tex]

[tex]-64=-4b^{-2}\implies \cfrac{-64}{-4}=b^{-2}\implies 16=b^{-2}\implies 16=\cfrac{1}{b^2} \\\\\\ b^2=\cfrac{1}{16}\implies b=\sqrt{\cfrac{1}{16}}\implies b = \cfrac{\sqrt{1}}{\sqrt{16}}\implies b = \cfrac{1}{4} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill f(x)=-4\left( \frac{1}{4} \right)^x~\hfill[/tex]

Find the value of n




Plz help me fast and send the answer​

Answers

Answer:

n is 113

Step-by-step explanation:

Is an isosceles triangle so the base angles are equal

therefor angles sum up to 180

46 + x + x = 180

46 + 2x = 180

2x = 180 - 46

2x = 134

x = 67

now to find n

the sum of angles on a straight line equals 180

n + x = 180

n + 67 = 180

n = 180 - 67

n= 113

Answer:

the base angle of an isosceles triangle are equal

let the base angle be y°

46° + y° + y° = 180°(sum of angles in a ∆)

46° + 2y° = 180°

2y° = 180° - 46°

2y° = 134°

y° = 134/2

y°=67°

n+y=180°[sum of angles on a straight line]

n+67=180°

n=180-67

n=113°

candy is 5 years older than one-third Liam's age .if candy is 16,how old is Liam

Answers

Answer:

33

Step-by-step explanation:

16-5=11

11×3=33

so yeah

Answer:

18

Step-by-step explanation:

What do you add to 17/4 to make 5?

Answers

The number that can be added to 17/4 to make 5 is 3/4

How to add fractions

Given

Add to 17/4 to make 5

let

x = number added

x + 17/4 = 5

x = 5 - 17/4

x = (20-17) / 4

x = 3/4

Learn more about fraction:

https://brainly.com/question/11562149

1. If you roll two fair dice, what is the probability that the sum of both rolls is 8?

Answers

Answer:

1/4

Step-by-step explanation:

Sample space = 12

Prob of sum = 8 is:

[2,6], [3,5]. [4,4]

That is 3/12 = 1/4

A boat is traveling at a constant speed. In 2 hours, the boat travels 180 miles. How many hours will it
take the boat to travel 225 miles?

Answers

Answer:

2 1/2 hours

Step-by-step explanation:

For 1 hour, it would travel 90 miles.

For half of 90 which is 45 it would travel 1/2 hr.

225-180 is 45 miles, which is another half hr.

2 hrs plus 1/2 hr is 2 1/2 hours.

Ashley completes 3 homework assignments in 50 minutes. At this rate, how many minutes will it take her to complete 9 homework assignments?

Answers

Answer:

144

Step-by-step explanation:

divide 50 by 3 and then multiply by 9

Explanation=3=50 mins

9=150

150=9000 minutes

the length of a rectangly is eight more than twice its width. if the length is less than 34, then what is the width?

Answers

Answer:

13

Step-by-step explanation:

I think u mean if the length is 34. If so heres how to work it out.

l = 2w + 8

l = 34.

34 - 8 = 26

26 / 2 = 13.

Width = 13

Answer:

x < 13

Step-by-step explanation:

Write an equation for the width

2x

→ Write an equation for the length

8 + 2x

→ Set up an equation

8 + 2x < 34

→ Solve

x < 13

Need help asap algebra 1

Answers

Answer:

Charlie is walking to the stadium. He has to wait for the traffic to stop, so he can cross the street. The light turns red and he is able to cross. He makes it to the stadium.

Step-by-step explanation:

hope this helps!!

Answer:

Charlie began walking and continued at a speed of 4 mph for 24 minutes. Then he stopped walking and took an 8-minute rest. He then walked for 16 minutes at a constant speed of 4 mph. Finally, Charlie slowed his pace down but kept walking for another 16 minutes.

PLS HELPPPPP!!!!!!!!

Answers

Answer:

not even bill nye could solve this

This is a special array.
1,2,2,5,2,2,9,0,...
what is next number?

Answers

Answer:

2

Step-by-step explanation:

the first number is one .then you write number two twice . The next number is the summation of the three previous numbers .then you write number two twice and the next number is the summation of the three previous numbers .and you do that regularly

A crew of highway workers paved 1/5 mile in 1/8
hour. If they work at the same rate, how much
will they pave in one hour?

Answers

Answer: 2/5 Step-by-step explanation: The easiest approach is to realize that one hour is 3 times longer than 20 minutes. The longer the time, the more they will pave.  

solve for w: 35=0.35 x w

Answers

Answer:

w=100

Step-by-step explanation:

Every time you multiply a decimal by 20 the dot goes one place to the right Example: 0.35 x 10= 3.5 or 0.35 x 100= 35

Help help help help hep

Answers

Answer:

Yes

Step-by-step explanation:

Find the equation of the line.

Answers

Answer:

y = 2x + -3

Step-by-step explanation:

Use the equation y=mx+b

m is the slope (2 in this case)

b is the y intercept (-3 in this case)

The equation of the line would be y = 2x + -3

Which graph shows Point P as (–5,6) and Point Q as (3,–4)?

Answers

hich graph shows Point P as (–5,6) and Point Q as (3,–4)?

A car is driving at 100kilometers per hour. How far, in meters, does it travel in 2 seconds? Give answer to
nearest meter.

Answers

Answer:

72

Step-by-step explanation:

brainlest pls

HELP ME OUT PLEASE!!!

Which function represents the relationship between x and y?

D) y = x - 2

C) y = x + 4

B) y = 2x

A) y = x + 2​

Answers

Answer:

The Answer is "A"

Step-by-step explanation:

x+2=y

please help me on this​

Answers

Answer:

3

Step-by-step explanation:

2  +  3  =   7

---    ---      ---

6      6       6

Which of these is opposed by kinetic friction?

Select one:

a.
a cat standing in a yard


b.
a book sitting on a table


c.
a box sliding on a floor


d.
a child leaning on a building

Answers

Answer: c

Step-by-step explanation:

Answer: C

Step-by-step explanation:

What does this equal 2(4+5) over 3

Answers

2(4+5) = 18
so 18/3 = 6

what is the answer when you multiply 5.30 one by 5.02​

Answers

Answer:

I think is there answer is 26.606

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