Find the volume of a box with a height that is 4 inches less than the
length and a width equal to the length. Let x represent the length of the
box. (Formula for volume of a rectangular prism: V equals L times W
times H where L is length, W is width, H is height of the rectangular
prism)

Answers

Answer 1

Answer:

Volume of the box = x^3 - 4x^2

Step-by-step explanation:

V = L × W × H

Where,

V = volume of the rectangular prism

L= Length

W = Width

H = Height

volume of the rectangular prism = length × width × height

Length = x

Width= length = x

Height = x - 4

V = L × W × H

= x * x * (x - 4)

= x^2 (x - 4)

= x^3 - 4x^2

V = x^3 - 4x^2

Volume of the box = x^3 - 4x^2


Related Questions

If you vertically compress the absolute value patent function, f(x)=|x|, by a factor of 5, what is the equation of the new function?

Answers

A vertical compression implies a reduction in the y-values of the absolute value function. Therefore, the term that we use to accomplish the reduction cannot be attached to the x in the equation. If so, we would end up with a horizontal stretch, not a vertical compression.

Compression implies a reduction, or dividing, so our term will be 1/5. This should be placed outside of the absolute value bars so that the compression affects only the y-values.

Correct answer: B. g(x) = 1/5|x|

Hope this helps! :)

what is the divisibility rule for 11

Answers

Answer:

Here an easy way to test for divisibility by 11. Take the alternating sum of the digits in the number, read from left to right. If that is divisible by 11, so is the original number. So, for instance, 2728 has alternating sum of digits 2 – 7 + 2 – 8 = -11

Step-by-step explanation:

Please answer area of this triangle

Answers

Answer:

[tex]A=2\text{ units}^2[/tex]

Step-by-step explanation:

The area for a triangle is given by:

[tex]A=\frac{1}{2}bh[/tex]

Where b is the base length and h is the height.

The base is 2 and height is also 2. Therefore:

[tex]A=\frac{1}{2}(2)(2)[/tex]

Simplify:

[tex]A=\frac{1}{2}(4)[/tex]

Multiply:

[tex]A=2\text{ units}^2[/tex]

Angie and kenny play online video games. Angie biys 1 software package and 4 months of game play. Kenny buys 1 software package and 1 month of game play. Each software costs $35. If their total cost is $130 what is thr cost of one month of game play

Answers

Answer:

1 month of game play will cost $12

Step-by-step explanation:

Here in this question, we are interested in calculating the cost of one month of game play.

From the question, we know the following;

Angie bought 1 software package and 4 months of game play

while

Kenny bought 1 software package and 1 month of game play.

The total packages and months bought will be;

2 packages and 5 months of game play

From the question, we are told that 1 month of game play is $35, so 2 months of game play will be 2 * $35 = $70

So the amount remaining for the 5 months will be; $130 - $70 = $60

So if 5 months cost $60, it means one month will be $60/5 = $12

Which statement is true about the parentheses in this expression? 10 ÷ (8 − 6) − 2 A) The parentheses indicate that 6 − 2 should be evaluated first. B) The parentheses indicate that 8 − 6 should be evaluated first. C) The parentheses indicate that 10 − 2 should be evaluated first. D) The parentheses indicate that 10 ÷ 8 should be evaluated first.

Answers

Answer:B

Step-by-step explanation: When solving expressions with parentheses it’s important to always solve what’s in parentheses first. And when there’s parentheses in parentheses, solve the parentheses that are in the parenthesis. Whew...I hope this helps :)

The state of Kansas has a population of about 2.85 million people. Find the population density
in the people per square mile.

Answers

Answer:

In the state of Kansas, the density of people per square mile is 34.3

Step-by-step explanation:

According to US topographers, the state of Kansas has an area of ​​213 096 km².

If 1 km² is equal to 0.39 mi², then how much is 213 096 km².

If 1 km²   :   0.39 mi².

213,096 km²  :   83,107.44 mi²

If the state of Kansas has a population of 2.85 million people, then:

2.85 x10^6 people / 83 107.44 mi² =

34.3 people per square mile.

add -3.8 + 9.8 + 5.7

Answers

Answer:

- 0.3

Step-by-step explanation:

Spending a day observing a professional in his or her work
environment is called:
A. an internship
B. volunteering.
C. community service.
D. a job shadow.

Answers

Particularly a job shadow!

Spending a day observing a professional in his or her work

environment is called a job shadow. Therefore, option D is the correct answer.

What is a job shadow?

Job shadowing is a form of experiential learning in which a person observes a professional on the job in order to gain insight and knowledge about the specific position. Job shadowing allows the observer to gain a better understanding of the job and its responsibilities, as well as the role the job plays in the organization’s overall operations.

Job shadowing, work shadowing involves observing a professional to gain a better understanding of the role.

Therefore, option D is the correct answer.

Learn more about the job shadow here:

https://brainly.com/question/22943238.

#SPJ5

A pair of shoes cost $120 but they are 25% Off;
What would be discount and the final price of those
shoes?

Answers

Answer:

Discount = $30, Final price = $90

Step-by-step explanation:

25% is one quarter. 120/4=30

One quarter of 120 is 30, so - 30 would give discounted price of $90.

Similarly you could think of it like the discounted price is 75% of the original one and do 120x0.75=90 to find 75% of 120.

Hope this helped!

How many pairs of parallel lines are in the flipped shape

Answers

Answer: 5

Step-by-step explanation:

What is the solution to this system of equations using the linear combination method?
5x+y=2
4x+y=5

(im really bad at math so an explanation would be helpful so i can understand better)

Answers

x= -3 y= 17 is the answer

Answer:

[tex]\huge \boxed{x=-3 \ \mathrm{and} \ y=17}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

Subtracting both equations:

    5x + y = 2

 -  (4x + y = 5)

————————

1x + 0y = -3

x = -3

Substituting x = -3 for the second equation:

4(-3) + y = 5

Solving for y.

-12 + y = 5

y = 17

[tex]\rule[225]{225}{2}[/tex]

Find the approximate side length of a square game board with an area of 105in2.

Answers

Answer:

Approximately 10.2 inches

Step-by-step explanation:

The area of a square is given by the formula:

[tex]A=s^2[/tex]

Where A is the area and s is the side length.

Since we already know that the area A is 105, substitute:

[tex]105=s^2[/tex]

Now, take the square root of both sides:

[tex]s=\sqrt{105}[/tex]

Use a calculator:

[tex]s\approx10.2470[/tex]

So, the side length is approximately 10.2 inches.

Find the product of (x + (3+5i))^2

Answers

Answer:

x^2 +6x +10xi -16 +30i

Step-by-step explanation:

(x + (3+5i))^2

Rewriting as

(x + (3+5i))  (x + (3+5i))

Let 3+5i = m

(x + m)  (x + m)

FOILing

x^2 + xm+xm+m^2

x^2 +2xm + m^2

Replacing m with 3+5i

x^2 +2x (3+5i) +(3+5i)^2

Distribute

x^2 +6x +10xi +(3+5i)^2

Now FOIL (3+5i)^2

( 3+5i) ( 3+5i)

 3*3+ 3*5i + 3*5i+ 25i^2

= 9 +15i+15i +25(-1)

9+30i -25

-16 +30 i

Replacing that in the equation

x^2 +6x +10xi -16 +30i

Answer:

x² + 6x + 10xi -16 + 30i

Step-by-step explanation:

(x + (3 + 5i) )²

use the binomial theorem:

(a + b)² = a² + 2ab + b² to expand (x + (3 + 5i) )²

substitute the values,

x² + (6 + 10i)x + (-16 + 30i)

therefore

x² + 6x + 10xi -16 + 30i

7 is a prime number. No multiple of 7, except 7 itself, can be a prime number. Explain why not.

Answers

Answer:   Answer is in the steps.

Step-by-step explanation:

No multiple of 7 can be a prime number because then it will   have more than two factors.7 is a prime number because it has only two factors 1 and itself.  For example, 14 is a multiple of 7 because 7 times 2 is 14. But now it  14 itself will not be a prime number because it has more than two factors which  is 1,2,7 and 14.

Answer:

yes, 7 is prime

Step-by-step explanation:

It has only2 factors: 1 and itself:)

please help!
Write a story for this equation: $10 - $4.05 = c.​

Answers

Jonathan is going to buy 500 straws for $4.05. He gave $10 to the clerk and received C dollars after buying the straws. find out the value of C. Include working out.

Every rational number is an integer. True or false?

Answers

Answer: FALSE

Step-by-step explanation:

False

All integers are rational number, but not all rational numbers are integer

Counter example: 2/3 is a rational number but it is not a integer

Look at the picture for more concept of integer and rational number

Diameter of Earth is 12756000m. In 1996, a new planet was discovered whose diameter is 5/86 of the diameter of Earth. Find the diameter of this planet in km.

Answers

Answer:

741.63km

Step-by-step explanation:

From the above question, we know the following things:

Diameter of the Earth = 12756000m

Diameter of the new planet = 5/86 of the Diameter of the Earth

Diameter of the new planet =

5/86 × 12756000m

= 741627.90698m

The diameter of the new planet = 741627.90698m

We were asked to find the diameter of the new planet in km, hence we convert from meters to kilometers

1m = 0.001km

741627.90698m =

741627.90698 × 0.001km

= 741.62790698km

Approximately = 741.63km

Therefore, the diameter of the new planet = 741.63km

15. Is it possible for one ray to be shorter in length than another? Explain.

Answers

Answer: never because they are both infinite.

Never because they are both infinite

If the figure above shows the graph of the function F, where f(x) = x^2 + 1, if the graph Gis the same as the reflection of about the x axis which of the following is g(x)? ​

Answers

Answer:

B, g(x)=-x^2-1

Step-by-step explanation:

-g(x)=x^2+1 is the reflection of g(x)=x^2+1 over the x-axis.  Therefore, g(x)=-x^2-1.

Hope this helps :)

i) 43x + 31y = 98
31x + 43y = 50

Answers

There are no solutions to the given system of equations.

Hope this helps.

I need help. don't understand how to do this. can you explain how to solve and look for the answer? that will help​

Answers

Answer:

D) 0.(85)

Step-by-step explanation:

85/99 = 0.(85)

PLEASE HELP!!

A. Beef uses significantly more land than plants to produce 100 grams of protein

B. Meat production is more efficient than farming protein from fish and prawns

C. Lamb and mutton produce more protein per square meters than pig meat and poultry

D. Nuts and grains produce less protein per square meter than milk and cheese

Answers

Answer:

the answer is correct 2 one

Answer:

A. Beef uses significantly more land than plants to produce 100 grams of protein

Step-by-step explanation:

Let's examine each answer choice.

A.  Beef uses significantly more land than plants to produce 100 grams of protein

This is true. Beef uses 163.6 square meters of land, while peas only use 3.4 square meters.

B. Meat production is more efficient than farming protein from fish and prawns

This is not true. Meat production is less efficient, because it uses more land than fish and prawns.

C. Lamb and mutton produce more protein per square meters than pig meat and poultry

This is false. Lamb produces less protein per square meter, because it takes 184.8 square meters to produce 100 grams of protein, while pig meat only takes 10.7 square meters to make the same amount.

D. Nuts and grains produce less protein per square meter than milk and cheese

This is false. Milk and cheese require more square meters per 100 grams of protein/ Therefore they produce less protein per square meter, not the nuts and grains.

So, the best answer choice is A. Beef uses significantly more land than plants to produce 100 grams of protein

3.2249030993 round to the nearest hundreth

Answers

Answer:

3.22

Step-by-step explanation:

I'm not the best at explaining things so theres the anwser at least.

Hope I helped.

SJ

Answer:

3.23

Step-by-step explanation:

9 is up to 5, so it's turned into 1 then take it to 4. It becomes 5, and it's up to 5, it's turned into 1 then take it to 2. It will become 3.

A deli has a special one-day event to celebrate its anniversary. On the day of the event, every eighth customer receives a free drink. Every twenty-eighth customer receives a free sandwich. If 200 customers show up for the event, how many of the customers will receive both a free drink and a free sandwich?

Answers

Answer:

the number of common customers are 8 in number

Answer: The answer is just 3 people will get BOTH the free drink and free sandwich.

Step-by-step explanation:

Every 8th = 1 free drink

Every 28th = 1 free sandwich

200 costumers showed

Add 28 to 28 until you reach the closest to 200 so: 28,56,84,112,140,168,196

Then add 8 to 8 until 200, every number that match the 28th sequence is 1 costumer that receives 1 drink and 1 sandwich

The match numbers are 56,112,168

What percentage of the data values falls between the values of 27 and 45 in the data set shown?
25
30
35
40
45
50
O 25%
o 5096
75%
100%

Answers

The answer is 75% this is because 4/6 numbers are between 27 and 45

hello to whoever is reading this, I have a question. my scan and solve feature is no longer working and it says that I have connection issues. but I have 4 bars of mobile data and my wifi is fine. is there any way to fix this?

Answers

The app is probably down try uninstalling and downloading it again .

claili has 35 flowers and 7 vases she wants to put the same number of flowers in each vase which question can calli use ro find the number of flowers to put in each vase

A. what number equals 7 subtracted from 35

B. what number added to 7 equals 35

C. what numbers multiplied by 7 equals 35

E. what number multiplied by 35 equals 7​

Answers

the answer is c. i hope this helps you!

1. Point P is between points F and G. The distance between points F and P
is 1/4 of FG. What is the coordinate of point P?

Answers

Answer:

Point P is in between points F and G.

Now, here we do not have the actual locations of F and G, so i will answer this in a general way.

Suppose that F is located at 0 and G is located at some value A.

Then the distance FG = A - 0 = A.

Now, the distance between F and P is:

Distance  = (1/4)*FG = A/4

Then the location of P is equal to the location of F plus A/4

P = 0 + A/4

Now, writing this in a more general way:

P = F + FG/4

An air conditioner repair service charges $60 for a service call plus $30 per hour for labor, from 1 to 6 hours. The total
amount charged to the customer m, for any number of service hours, h can be represented by the function
m=30h+60 where h is an integer. What is the range?

Answers

Answer:

  [90, 240]

Step-by-step explanation:

Here, the range can be found by considering the values of m at the extremes of the domain.

  for 1 hour, m = 30(1) +60 = 90

  for 6 hours, m = 30(6) +60 = 240

The range of m is [90, 240].

Mr Jones is 4 years older than his wife and 31 years older than his son. their ages add up to 82 years. if Mr Jones is x years old, find the value of x and the ages of his wife and son.​

first person here gets the brainiest award thingy!

Answers

Answer:

39 Mr Jones

35 Mrs. Jones

8 Son

Step-by-step explanation:

x       ----> Mr. Jones

x - 4  ----> His wife

x - 31 ---> His son

x + (x - 4) + (x - 31) = 82

3x - 35 = 82

3x = 82 + 35

3x = 117

x = 117/3

x = 39 Mr Jones

x - 4

39 - 4

35 Mrs. Jones

x - 31

39 - 31

8 Son

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