the volume of the box is ___

The Volume Of The Box Is ___

Answers

Answer 1

Answer:

[tex]V=80x-36x^2+4x^3[/tex]

Step-by-step explanation:

The volume of a box of dimensions a, b, c is:

V=abc

The box shown in the image has dimensions 8-2x, 10-2x, x, thus its volume is:

[tex]V=(8-2x)(10-2x)(x)[/tex]

Operating the first two brackets:

[tex]V=(80-16x-20x+4x^2)(x)[/tex]

Joining like terms:

[tex]V=(80-36x+4x^2)(x)[/tex]

Multiplying again:

[tex]V=80x-36x^2+4x^3[/tex]

The volume of the box is

[tex]\boxed{V=80x-36x^2+4x^3}[/tex]


Related Questions

Draw a figure in which ∠1 and ∠2 are acute vertical angles, ∠3 is a right angle adjacent to ∠2, and the sum of the measure of ∠1 and the measure of ∠4 is 180°.

Answers

Answer:

654321

Step-by-step explanation:

As an estimation we are told £3 is €4.
Convert £13.50 to euros

Answers

€18 is the answer
If you’ve been given an estimate, use that to determine how much £13.50 would be by cross multiplying
13.50 pounds is 14.87 euros

If josiah skateboards from his house to school 4 miles away. It takes him 20 minutes.

If josiahs speed, in miles per minute, is constant, what is the constant of proportionality?

Answers

The constant of proportionality is 0.2

The constant of proportionality for Josiah's speed is 0.2 miles per minute.

To find the constant of proportionality, we can use the formula:

constant of proportionality = distance / time

In this case, we have the distance Josiah skateboards from his house to school is 4 miles, and it takes him 20 minutes.

So, the constant of proportionality is:

4 miles / 20 minutes = 0.2 miles/minute

Therefore, the constant of proportionality for Josiah's speed is 0.2 miles per minute. This means that he skateboards at a constant rate of 0.2 miles per minute from his house to school.

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So soft ball bags are on clearance for an additional 30% off the sales price Finley finds one size:it was originally $70.00,but is marked down to $50.00. How much will the bat cost Finley on clearance?

Answers

Answer:

$35

Step-by-step explanation:

50 * 30% = 15$ discount

50 - 15 = 35$ cost

30% discount is additional so based off sales price

5 1/4 divided by 1/8

Answers

Answer:

42

Step-by-step explanation:

Answer:

the answer is 42

Step-by-step explanation:

becuase in decimal 5.25 divided by .125 is 42

Simplify this please. Will give brainliest for the correct answer. Please explain too.

5(x+3)−5x

Thanks

Answers

Answer:

15

Step-by-step explanation:

First, you must distribute 5 to (x + 3)

5(x + 3) - 5x

5x + 15 - 5x

5x - 5x +15

(You can typically say 0x + 15, as a representation to show there are no more x values, but it is bet not to show any if there are none left)

(5x - 5x will cancel out, leaving only 15)

= 15

Which compound inequality can be represented by the graph below?
A. x 9
D. 5 < x ≤ 9

Answers

Answer:

[tex]5 > x \leq 9[/tex]

Step-by-step explanation:

It would be [tex]5 > x \leq 9[/tex]. The reason why, is because according to graph, there is a open circle (open circle signifies as [tex]<[/tex] or [tex]>[/tex], depending on what sign) on [tex]5[/tex], pointing to the right side of the number line and there is a closed circle (closed circle signifies as [tex]\leq[/tex] or [tex]\geq[/tex], depending on what sign) on [tex]9[/tex] pointing to the left side of the number line.

Mark is working with the quadratic function y= x2 - 10x + 7. Determine the number and type of roots for the equation using the discriminant.

Answers

I’m sorry I rlly don’t know
answer explained
72

A store has 2 packs of paper for $3.52. How much would it cost if you were to buy 4 packs of paper

Answers

Answer:

7.04?

Just multiply 3.52 by two...

2. What is the equation in point-slope form of the line tha passes through the point
(1, -1) and has a slope of 4?

Answers

X(sub1)= 1
Y(sub1)=-1
m=4

Since the slope is given use y-y(sub1)=m(x-x(sub1))

y-(-1)=4(x-(1))
y+1=4(x-1) in point-slope form
y+1=4x-4
Subtract 1 on both sides
y=4x-5 in slope-intercept form

can you help me solve this (x+5)(x+3)=0

Answers

Answer:

x= -3, x=-5

Step-by-step explanation:

Answer:

x = -3 or -5

Step-by-step explanation:

This is a quadratic equation, meaning that the solutions (x-values) will occur when the parabola intersects the x-axis

For now, all you have to do is isolate each mini expression, because you can divide each side by either parenthesis (since it's multiplication)

(x+5)(x+3) = 0                                          (x+5)(x+3) = 0

divide by (x+5)                                         divide by (x+3)

x+3 = 0                                                        x+5 = 0

subtract 3                                                 subtract 5

x = -3                                                           x = -5

Keep in mind that the parabola intersects the axis at BOTH (-3, 0) and (-5, 0)

Therefore, both answers (must be together unless question says otherwise) can be the value of x

x = -3 OR -5

1) Solve the equation 6= 1/4z -1 z=

Answers

Answer:

z=28

Step-by-step explanation:

first, add one to each side to eliminate the negative one. you'll get:

7= [tex]\frac{1}{4}[/tex]z

now, to get rid of the 1/4, multiply both sides by 4.

(7x4)=(1/4z)4

simplify to get 28=z.

hope this helps!

the correct answer is  z=28

5 irrational number​

Answers

Answer: 5 is rational because it can be a fraction or ratio.

Answer:

√5 Unlike √9, you cannot simplify √5 .

Step-by-step explanation:

Claire bought five toy boxes. Each toy box is in the shape of a cube. The total volume of the five toy boxes when placed in a row is 2,600 cubic inches. Claire thinks she will need about 40 inches of floor length for the toy boxes and Lucy thinks she will need about 45 inches of floor length for the toy boxes.

Answers

Answer:

Please find the answer in the explanation.

Step-by-step explanation:

Given that Each toy box is in the shape of a cube. The total volume of the five toy boxes when placed in a row is 2,600 cubic inches. 

If Claire thinks she will need about 40 inches of floor length for the toy boxes and Lucy thinks she will need about 45 inches of floor length for the toy boxes, one of them must be right.

Since Volume = L × B × h

Substitute the volume value and the length into the formula to know the area of the box. This must be in whole number and not in decimal number.

Area = 2600 / 40

Area = 65 square inches. For Claire.

Then for Lucy, we get:

Area = 2600 / 45

Area = 57.7778 square inches

We can therefore conclude that Claire is correct.

I need help with number 4 plz answer it​

Answers

Answer is 10 c brianliest is appreciated

Select the given points in the coordinate plane that lie on the graph of the linear equation 4x - y = 3.
1.(-1,-7) 2.(0,3) 3.(3/4,0) 4.(1,1) 5.(2,5) 6.(4,-1)​

Answers

Answer:

HERE IS YOUR ANSWER

Step-by-step explanation:

The standard form of a linear equation is

Ax+By=C,A,B≠0Ax+By=C,A,B≠0

Before you can graph a linear equation in its standard form you first have to solve the equation for y.

2y−4x=82y−4x=8

2y−4x+4x=8+4x2y−4x+4x=8+4x

2y=4x+82y=4x+8

2y2=4x2+822y2=4x2+82

y=2x+4

(-1, -7), (3/4, 0),(1,1),(2,5) are the  points in the coordinate plane that lie on the graph of the linear equation 4x - y = 3.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given points in the coordinate plane that lie on the graph of the linear equation 4x - y = 3.

For (-1,-7)

4(-1)-(-7)=3

3=3

So the point (-1, -7) lie on the line.

(0,3)

4(0)-3=3

-3=3

the point (0,3) does not lie on the line.

For point (3/4, 0)

4(3/4)-0=3

3=3

the point (3/4,0)  lie on the line.

For point (1,1)

4-1=3

3=3

The point (1,1) lie on the line.

For point (2,5)

8-5=3

3=3

The point (2,5) lie on the line.

For point (4,-1)

16+1=3

17=3

For point (4,-1) does not lie on the line.

Hence, (-1, -7), (3/4, 0),(1,1),(2,5) are the  points in the coordinate plane that lie on the graph of the linear equation 4x - y = 3.

To learn more on Equation:

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Find a point-slope form for the line with slope 5 and passing through the point (-6,- 4).


Answer y+4=1/5(x+6)

Answers

Answer: 2x+y=20 (A)

Step-by-step explanation:

Help me out please need them by tomorrow, answer any question you know just put the number so I can know what question you answered.

Answers

Answer:

7. 69

Step-by-step explanation:

6x+3(x-7) when x=10

6(10)+3(10)-21

60+30-21

90-21

69

Answer: (7.) the answer is 69

Step-by-step explanation:

The best way to remember this is PEMDAS ("Please Excuse My Dear Aunt Sally)

Parenthesis, Exponent , Multiplication, Division, Addition, Subtraction (this is the order that you should work your problem)

6x+3(x-7) lets see where there is a parenthesis first (x-7), we're going to plug in 10 where x is listed >> (10-7)= 3

The problem now reads 6x+3(3)

We do not have exponents, so we move to see if there is multiplication

6x>> we're going to replace x with 10 to read 6*10 = 60

The other multiplication is 3(3) which =  9

your problem now reads : 60+9

There are no division so we move to Addition

60+9= 69

There are no subtractions so you are now done with your problem and left with the answer 69

write 0.49 as a fraction​

Answers

Answer:

49/100

Step-by-step explanation:

Answer:

49/100

Step-by-step explanation: .49 you imagine that the decimal is a 1 and the numbers after it are 0's so there are 2 digits so 100

Jell was playing among us for 3 hours straight,the next day she played for 1 hour,in total she played for 4 hours,and each time she was impostor for 19 games so how long is each game for her to win each time


hint:19*4

Answers

Answer:76

Step-by-step explanation:

find the slope of the line through each pair of points for questions 21 to 39​

Answers

Answer:

23,24,26,27 sorry if you get it wrong

Factor by grouping
3x^2-11x+10

Answers

Answer: (x - 2)(3x - 5)

Step-by-step explanation:

I'm using the berry method to factor, so first, I multiply 3 times 10 to get 30. Now I have to figure out what two numbers, when multiplied together, yield 30 and when are added together, give me -11. Those two numbers are -6 and -5. The equation now becomes (3x -6)(3x -5). Reducing the first binomial: (3x - 6)/3 = (x - 2)

the solution is (x - 2)(3x - 5), and we can check this by multiplying it out, which gives us our starting number, meaning it's correct.

a professional organizer charged a $45 consultation fee, plus $20 per hour. write an equation to represent the total cost for hiring the organizer. define your variables.

Answers

Answer: y=20x+45

Step-by-step explanation:

y=total cost to hire the organizer

x=number of hours you are hiring the organizer

the jones family road trip covers 3640 miles and they visit 9 states. what is the average mileage per state?

Answers

Answer:

About 404.4444444445

Step-by-step explanation:

Answer:

404 miles per state

Step-by-step explanation:

First, let's write an equation.

For every 9 states, they covered 3640 miles. So our equation would look like this:

9s=3640 (s= number of states)

Second, let's get s by itself. To do this, divide 9 on both sides/

s=404.44444....

Absolute value of -23/7

Answers

Wouldn't that be 3.3 I think-

Evaluate 7 + q if q = -2

Answers

Answer:

5

Step-by-step explanation:

7-2=5

Answer:

5

Step-by-step explanation:

7 + q if q = -2

7 + (-2)

7 - 2  

 5

I need help on this question

Answers

Answer:

1.0 x [tex]10^{6}[/tex]

Step-by-step explanation:

Answer:

1.0*10^-6!!!

Step-by-step explanation:

HELPP please ??? I’ll appreciate it a lot .

Answers

Answer:   [tex]\sqrt{41}[/tex]

On a keyboard you would type sqrt(41)

===========================================

Work Shown:

[tex]\text{point L} = (x_1, y_1) = (2,-1)\\\\\text{point N} = (x_2, y_2) = (7,-5)\\\\[/tex]

[tex]d = \text{distance from L to N}\\\\d = \sqrt{ (x_1-x_2)^2 + (y_1-y_2)^2 } \ \text{ ... distance formula}\\\\d = \sqrt{ (2-7)^2 + (-1-(-5))^2 }\\\\d = \sqrt{ (2-7)^2 + (-1+5)^2 }\\\\d = \sqrt{ (-5)^2 + (4)^2 }\\\\d = \sqrt{ 25 + 16 }\\\\d = \sqrt{ 41 }\\\\[/tex]

----------

A slight alternative is to plot the point M(2,-5) to form right triangle LMN. The 90 degree angle is at point M.

The legs are of length LM = 4 and MN = 5, which are found by subtracting the x coordinates together and the y coordinates together (or you can count the spaces). From there, use the Pythagorean theorem to get the hypotenuse LN.

The distance formula is an altered version of the Pythagorean theorem.

Answer:

The distance between the two points provided is: [tex]\sqrt{41}[/tex]

Step-by-step explanation:

First thing is to evaluate what the distance formula is:

d = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }[/tex]

Then substitute the points provided:

d = [tex]\sqrt{(7-2)^{2}+(-5-(-1)^{2} }[/tex]

(The double negative between -5 and -1 will make the -1 a positive 1). (1)

d = [tex]\sqrt{(5)^{2}+(6)^{2} }[/tex]

Now the exponents:

d = [tex]\sqrt{25+36}[/tex]

Second to last, you must add:

d = [tex]\sqrt{41}[/tex]

If needed ± should be added in front of the radical.

The points are the same as the ones that were given.

Write 4.5 as a mixed number and an improper fraction

Write your answer in simplest form

Answers

Answer:

9/2 and mixed number: 4 1/2

Step-by-step explanation:

Answer:

Mixed number: [tex]4\frac{1}{2}[/tex]Improper fraction: [tex]\frac{9}{2}[/tex]  

I hope this helps!

Gina is hiking from the top of a mountain. In 24 minutes, she walks down the mountainside to a location 1,524 feet from the top of the mountain. If she walks at about the same pace, express ginas average Change in alititude per minute?

Answers

Answer: 63.5 alt/min

Step-by-step explanation: 1,524/24.

The change in altitude per minute is 63.5 alt/ min

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

In 24 minutes = 1524 feet

So, the average Change in altitude per minute

=1524/24

= 63.5 alt/ min

hence, change in altitude per minute is 63.5 alt/ min.

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