A box in the shape of a rectangular prism measures 2 feet by x feet by 4 feet. Write a simplified expression for the volume (in cubic feet) of the box.

Answers

Answer 1

Answer:

8x  ft^3

Step-by-step explanation:

Step one:

given

dimension of the box

Length= 2ft

width = x ft

Height= 4 ft

Required;

the expression for the volume of the box

Step two:

We know that the volume is expressed generally as

V=L*W*H

V= 2*x*4

V= 8x  ft^3

The expression for the volume is V= 8x  ft^3


Related Questions

Four times the sum of a number and seven is twenty three.

Answers

Seventy three please elaborate

Answer:

[tex]\frac{-5}{4}[/tex]

Step-by-step explanation:

You're going to want to set up an algebraic equation to solve this. It would look like this: 4(x+7)=23. Using distributive property, you'd get 4x+28=23. Subtract 28 from both sides to isolate 4x, and you'd get 4x=-5. Divide by 4 on both sides to isolate x and you'd get x=[tex]\frac{-5}{4}[/tex].

CHECK:

To check, plug in x.

4([tex]\frac{-5}{4}[/tex]+7)=23.

Use distributive property and get [tex]\frac{-20}{4}[/tex]+28=23. This simplifies to -5+28=23, which is correct.

PLEASE HELP
Find the value of x. Write your answer in simplest radical form, if necessary.

Answers

x^2 = 25^2 - 22^2 <=>

x^2 = 625 - 484 <=>

x^2 = 141 <=>

x = 11.9

The value of 'x' or the length of the base of the triangle is [tex]\sqrt{141}[/tex] units.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know, In right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

The given triangle has a hypotenuse of 25 units and a height of 22 units.

Therefore,

Hypotenuse² = Base² + Height².

Base² = Hypotenuse² -  Height².

Base = [tex]\sqrt{Hypotenuse^2 - Height^2}[/tex].

Base = [tex]\sqrt{25^2 - 22^2}[/tex].

Base = [tex]\sqrt{625 - 484}[/tex].

Base = [tex]\sqrt{141}[/tex].

So, The length of the base is [tex]\sqrt{141}[/tex] units.

learn more about Pythagoras's theorem here :

https://brainly.com/question/10174253

#SPJ2

Please help!

if the ball family has a child in 8 years how much can I expect to spend to raise a child per year from birth to 5 years of age ?

A). $22,800
B). $21,530
C). $20,890
D).$18,240

Answers

Answer: 22,800

Step-by-step explanation: Depends on what you do that year

answer please?? 50+40+10=

Answers

the answer to this question is 100
100 Is your answer hope it helps

Does the point (-3,-1) lie on the line with the equation y = 10 - 3x ? Be sure to show your work.

Answers

Replace x in the equation with the x value from the point and solve. If the equation equals the y value from the point the point lies in the line, if it doesn’t equal the y value then it doesn’t lie on the line.

Y = 10 -3(-3) = 10 + 9 = 19

19 doesn’t equal -1 so the point does not lie on the line.

Write an equation for the line that passes through
(2,7) and (-1,-8)

Answers

Answer:

slope = 5

y intercept = -3

Equation = y=5x-3

Step-by-step explanation:

-8-7/(-1-2)=5

plug in a point to find y intercept

7=5(2)+b

solve for b

b=-3

write final equation:

y=5x-3

(can I get brainliest please)

What is the value of x if
4x - 9 = 11?
A. 1/2
B.2
C.5
D.20

Answers

Answer:

C

Step-by-step explanation:

Answer: 4x-9=11

4(5)-9=11

20-9=11

11=11

Step-by-step explanation:

6. Complete the pattern: 4, 8, 12, 16,

Answers

Answer:20,24,28,32

Step-by-step explanation:

Answer:

20, 24, 28, 32

Step-by-step explanation:

The sequence is counting by 4. Wasn't sure how many numbers you were looking for, but if you need more than what was given in the answer then keep counting up by 4.

In the supermarket, there were 434 boxes of cereal, 285 gallons of milk, and 176 cans of orange juice. About how many
breakfast items were there? Use rounding to the nearest hundred to estimate the total number of breakfast items.

Answers

Answer:

900

Step-by-step explanation:

434+285+176 is 895,895 to the nearest hundred is 900

Solve the following equation for the
variable (a). -3a = 15
a = 5
a = 12
a = -5
a = 18

Answers

Divide -3
-3/-3a = 15/-3
a = -5
-3 x -5 = 15
a negative & negative equals positive!

Can someone please help me out with 15 and 16
If you do just one of them that’d be great.

geometry proofs

Answers

Answer:

Step-by-step explanation:

A scientist finds that an intial bacteria count was 24 million and 4 hours later, the count was up to 99
million. Write an exponential equation of the form y = abt for this scenario. Round b to four decimal
places.
y =

Answers

Answer:

y=ce^kt

..not quite sure but i tried and this was my answer..

A store starts the day with 36 packages of juice boxes.Each package contains the same number of juice boxes.By the end of the day,ther are only 8packages of juice boxes left.

Answers

Answer:

Number of package sold = 24 package

Step-by-step explanation:

Given:

Total number of package = 36

Remain package = 8

Computation:

Number of package sold = Total number of package - Remain package

Number of package sold = 36 - 8

Number of package sold = 24 package

In rectangle PLAN, PT = x + 3 and TL = 3x - 11. What are the lengths of PA and NL?

Answers

Answer:

PA = 20 units

NL = 20 units

Step-by-step explanation:

Property of a rectangle,

"Diagonals of a rectangle are equal in measure and divide each other in two equal parts"

By using this property,

PT = TL

(x + 3) = (3x - 11)

3x - x = 11 + 3

2x = 14

x = 7

Length of PT = (x + 3) = 10

Length pf PA = 2(PT) = 20 units

Length of NL = PA = 20 units

HELP I need to fine the slope-intercept form. Please it’s a timed assignment I only have two try’s and I already used one

Answers

Answer:

5. y = -1/2x + 6

6.  y = 1/2x + 150

7. y = 10x + 20

8. y = 25x

Step-by-step explanation:

Look at the y-intercept and eliminate the answers you dont need.

Then find the slope of each.

Mrs. Brown uses 1/4 package of graph paper for each class. She needs 1 1/2 packages to serve all of her classes. How
many classes does Mrs. Brown teach?

Answers

The answer is 6.
1/4 goes into 1 1/2 6 times. :)

Answer:

I think the answer is 6 sorry if i'm wrong

Step-by-step explanation:

To find the possibilities of side lengths for the third side of the triangle, I must subtract the two sides to find the higher range and I must add the two sides to find the lower range.
True

False

Answers

Answer:

false

Step-by-step explanation:

I'm not sure how to answer this. How you need to do is take the two smaller sides and add them. If they are greater than the largest side, you can make a triangle.

I would say that the statement is false. If you subtract, you could get a minus number, and that would be an absurd result.

Find the lengths of all 3 sides of each triangle.

Answers

Answer:

GH=45

HJ=81.6

GJ=53.4

Step-by-step explanation:

hope i helped <3

-(4x - 5) + 16x ≥ -31
can you solve this inequality equation?

Answers

Answer: x≥-3

Step-by-step explanation:

-(4x-5)+16x≥-31

-4x+5+16x≥-31

12x+5≥-31

   -5  -5

12x≥-36

12/12x≥-36/12

x≥-3

hope this helped :)

consider these functions f(x)=1/3x^2+4 g(x)=9x-12 what is the value of g(f(x))​

Answers

Given:

Functions are

[tex]f(x)=\dfrac{1}{3}x^2+4[/tex]

[tex]g(x)=9x-12[/tex]

To find:

The value of [tex]g(f(x)).[/tex].

Solution:

We have,

[tex]g(f(x))=g(\dfrac{1}{3}x^2+4)[/tex]        [tex][\because f(x)=\dfrac{1}{3}x^2+4][/tex]

[tex]g(f(x))=9(\dfrac{1}{3}x^2+4)-12[/tex]        [tex][\because g(x)=9x-12][/tex]

[tex]g(f(x))=9(\dfrac{1}{3}x^2)+9(4)-12[/tex]

[tex]g(f(x))=3x^2+36-12[/tex]

[tex]g(f(x))=3x^2+24[/tex]

Therefore, the required function is [tex]g(f(x))=3x^2+24[/tex].

Following are the calculation to the given function:

Given:

[tex]f(x)=\frac{1}{3}x^2+4 \\\\g(x)=9x-12[/tex]

To find:

[tex]g(f(x))=?[/tex]

Solution:

[tex]f(x)=\frac{1}{3}x^2+4 \\\\g(x)=9x-12[/tex]

[tex]\to g(f(x))=g( \frac{1}{3} x^2+4) \\\\[/tex]

                [tex]=9( \frac{1}{3} x^2+4)-12 \\\\=\frac{9}{3}x^2+36-12 \\\\=3x^2+24 \\[/tex]

Therefore, the answer is "[tex]24+3x^2[/tex]" .

Learn more about the g(f(x)):

brainly.com/question/17022176

convert 3 4/5 into a improper fraction with steps please

Answers

Answer:

Step-by-step explanation:

((3×5)+4)/5=

19/5

The improper fraction is 19/5.

We have to convert [tex]3 \dfrac{4}{5}[/tex]  it into an improper fraction.

To convert into an improper fraction calculation must be done in a single unit following all the steps given below.

 Step1; Write the fraction into simple fractions,

                    [tex]= \dfrac{3 \times 5 + 4}{5}[/tex]

Step2; Solve the following equation.

                    [tex]=\dfrac{15+4}{5}\\\\=\dfrac{19}{5}[/tex]

Hence, The improper fraction is 19/5.

To know more about Fractions click the link given below.

https://brainly.com/question/21449807

ILL GIVE BRAINLEYyyyyyyy

Answers

Answer:

2+10x-x^2, the last answer

Step-by-step explanation:

2. Phan went grocery shopping and purchased 8 loaves of bread that cost $1.48 each, 4 bags of milk that
cost $4.33 each, and 2 boxes of cereal that cost $5.25 each.

Answers

Answer:

39.66

Step-by-step explanation:

i think your asking how much his total is going to be you didnt put the whole question so I really dont know

Please help fast too easy questions for double the points I’ll give brainless also and 10 point!

Answers

Answer:

78.5

Step-by-step explanation:

add 1+2+3+4+5+6+7+100-56=78.5

The base is 19.

The second question is 5^1/2

Could you mark me as brainliest please?

PLEASE HELP BEING TIMED
The mass of Venus is 4.87 × 1024 kilograms, and the mass of Jupiter is 1,898 × 1024 kilograms.

The mass of Jupiter is about -----times the mass of Venus.

Answers

Answer:

The mass of the jupitor is 1444864 times the mass of the venus.

Step-by-step explanation:

Please help!!!! Thank youuu I’ll make brainlisy

Answers

Answer:

A

Step-by-step explanation:

it isn't a straight line, so it is nonlinear

In 2006, there were 72 million dogs in U.S. Homes. In 2010, there were 70 million dogs. What was the percent decrease in the number of dogs in U.S. Homes from 2006 to 2010? A. about 0.03% B. about 0.97% C. about 3% D. about 97% Speed: NormalVoice: Female Volume: 70%

Answers

Answer: C. about 3%

Step-by-step explanation:

In 2006 , Number of dogs in U.S. dogs  = 72 million

In 2010, Number of dogs in U.S. dogs  = 70 million

The percent decrease in the number of dogs in U.S. Homes from 2006 to 2010  =

[tex]\dfrac{\text{Change in number of dogs}}{\text{Number of dogs in 2006}}\times100\%\\\\=\dfrac{(72-70)\text{ million}}{70\text{ million}}\times100\%\\\\=\dfrac{2}{7}\times10\%\approx3\%[/tex]

So, the percent decrease in the number of dogs in U.S. Homes from 2006 to 2010 was about 3%.

Hence, the correct option is C. about 3%

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. In a particular region of a national park, there are currently 330 deer, and the population is increasing at an annual rate of 11% a. Write an exponential function to model the deer population in terms of the number of years from now. B. Explain what each value in the model represents . . Predict the number of deer that will be in the region after five years. Show your work.

Answers

Answer:

Formula : V = I (1 + R)^T  , Deers after 5 years ≈  556

Step-by-step explanation:

Exponential formula for  final value 'v' - for initial value 'i' at growth rate 'r' for a period of time 't'

V = I (1 + R)^T

As per given deer case, I = 330 & R = 11% = 0.11

V = 330 ( 1 + 0.11 )^t

Predicted deers after 5 years, V = 330 (1.11)^5

330 x 1.685 = 556.05

Use the figure to answer the question.
10 in.
3 in.
What is the area of the shaded portion to the nearest hundredth? Enter the answer in the box.

Answers

The answer is 16.5

You have to find the area of a rectangle, then find the the area of a circle then divide the area of the circle by 2, then subtract the area of the rectangle by whatever you got from dividing the are of the circle.

What is the equation for a circle with the center, (0,0) and a radius of 4?

Answers

Answer:

(X-x0)^2 +(y-y0)^2= r^2

R=4

R^2=16

(X-0)^2+(y-0)^2=16

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