The dimensions of a rectangular prism are n, n + 7, and n + 8. Use the formula V = ewh to write a polynomial in standard form for the volume of the prism

Answers

Answer 1

Answer:

n³ + 15n² + 56n

Step-by-step explanation:

The formula for the volume of a rectangular prism is V = l × w × h.

We are given the dimensions of this rectangular prism: n, n + 7, n + 8.

We can assume that these are the length, width, and height of the rectangular prism (not in any specific order).

Let's substitute these values into the formula to find the volume of the prism, written as a polynomial in standard form.

V = l × w × hV = (n) × (n + 7) × (n + 8) V = (n² + 7n) × (n + 8) V = n³ + 8n² + 7n² + 56n V = n³ + 15n² + 56n

The volume of the prism is n³ + 15n² + 56n. This is in standard form because the terms are listed in descending power order.


Related Questions

if $40 equals 15 gallons, how much money is in 3 gallos? this is due soon pls help

Answers

Answer:

$8

Step-by-step explanation:

$40:15 gallons

:3 gallons

So first you say what did you do to 15 to get three?

15÷3= 5

Now you divide forty by five since that is what you did to 15 to get three.

40÷5= 8

rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, a in seconds, by the given equation. Using this equation, find out
the time at which the rocket will reach its max, to the nearest 100th of a second.
y=16x^2+ +225x+79

Answers

Answer:

7.03 seconds

Step-by-step explanation:

First, you need to differentiate the equation (The derivative of y represents the rocket's velocity):

y' = 32x + 225

Then, set y' to 0 and solve for x

0 = 32x + 225

x = 7.03s

Can two obtuse angles be supplementary? Explain why or why not

Answers

Answer:

no

Step-by-step explanation:

No, two obtuse angles cannot form a supplementary angle. By the definition of obtuse angles, the angles that measure greater than 90° are obtuse. If you add two obtuse angles, the sum will be greater than 180°. It will not satisfy the property of the supplementary angles when we add obtuse angles.

Answer: the answer is No

Step-by-step explanation: the answer is no because,  two obtuse angles cannot form a supplementary angle. By the definition of obtuse angles, the angles that measure greater than 90° are obtuse. If you add two obtuse angles, the sum will be greater than 180°. It will not satisfy the property of the supplementary angles when we add obtuse angles.

Which number is an irrational number?
V6
V16
0.14
1/5

Answers

Answer:

1/5

Step-by-step explanation:

1/5 is a rational number

because it is expressed in the form of P/q where q not equal to zero

Rectangle 1 has length 10 and width 20. Rectangle 2 is made by multiplying each dimension of Rectangle 1 by a factor of k=3

Answers

Answer:

30cm, 60cm

Step-by-step explanation:

Given data

Dimensions of the first rectangle

Length =10cm

Width =20cm

We are told that the dimensions of the second rectangle is gotten by multiplying the first rectangle by 3

Hence the dimensions of the second rectangle is

Length =10*3= 30cm

Width = 20*3= 60cm

Any help please? (pre-algebra) Please provide an explanation, if not it’s fine but one would be appreciated.

Answers

Answer:

Option C

Step-by-step explanation:

Height of the rocket is modeled by,

h(t) = -16t² + 125t + 24

Height of the rocket in t = 0.1 seconds

h(0.1) = -16(0.1)² + 125(0.1) + 24

         = -0.16 + 12.5 + 24

         = 36.34 feet

At t = 5 seconds,

h(0.5) = -16(5)² + 125(5) + 24

         = -400 + 625 + 24

         = 249 feet

At t = 5.6 seconds,

h(5.6) = -16(5.6)²+ 125(5.6) + 24

         = -501.76 + 700 + 24

         = 222.24 feet

At t = 7.8 seconds,

h(7.8) = -16(7.8)² + 125(7.8) + 24

         = -973.44 + 975 + 24

         = 25.56 feet  

Therefore, change in height is maximum at t = 5.6 seconds

Option C will be the answer.

I tried sketching technoblade as a child

I don’t know if it came out good. For me it looks bad but I still anyways gonna show it. (Also could ya rate it? And be honest)(nothing is perfect)
:)

Answers

Answer:

best drawing I've ever seen... you should be an artist!!!

Answer:

From 1 - 10, I will rate 10.

Step-by-step explanation:

I rate 10 because I like how I get the cartoonish feeling and it is also really pretty. You have that talent in you. I am a big fan of arts and I am good at painting rather then drawing characters. It is impressive how your drawing is.

Stay safe, happy, and healthy, thank you :) !!

The sum of 3 consecutive integers is 30.
What is the third number in this sequence?

Answers

Answer:

11

Step-by-step explanation:

the 3 numbers are 9, 10, 11

Answer:

Third number = 11

Step-by-step explanation:

Let 3 consecutive numbers be x ,x +1 , x +2

x +x+1  + x+ 2 = 30

x +x +x + 1 + 2 = 30       {Combine like terms}

     3x + 3 = 30      {Subtract 3 from both sides}

          3x   = 30 - 3

          3x = 27    {Divide both sides by 3}

            x = 27/3

x = 9

Third number =x + 2 = 9 + 2 = 11

Which inequality correctly compares 2/5, 1/8 ,5/7

Answers

1/8 is the answer cos 1/8 if u put the lcm of all u get 1/8

Answer:

The correct answer is -3.9> -4.5

Step-by-step explanation:

Can someone tell me what the answer is for x/-9≥3 as a simplified answer

Answers

x/-9 ≥3 multiply both side by -9 to get rid of fraction
-9/1•x/-9 ≥-9•3
Cross cancel -9 on left side
x ≥ -27

Emma is travelling to the store 25 miles away from her house. On Emma's map, her house and the store are 5 inches apart. What is the scale used for Emma's map?
a.) 1 inch=5 miles
b.) 1 inch=15 miles
c.) 1 inch=25 miles
d.) 1 inch=100 miles

Answers

The answer is a because If 1 inch is 5miles and 5x5 is 25 then a is the answer

I need to find if there is one solution, no solutions, all solutions (infinite solutions)

Answers

5a: all solutions
5b: one solution
5c: no solution

Solve for x in the equation 2 x squared minus 5 x + 1 = 3.

Answers

Answer:

x=-0.35 or x=2.85

Step-by-step explanation:

2x^2-5x+1=3

2x^2-5x-2=0

use quadratic formula

x=(5±√41)/4

decimals = x=-0.35 or x=2.85

Answer:

option D

Step-by-step explanation:

I took the test

Find the area of the region shaded in green. Use 3.14 to approximate pi.

Answers

Answer:

254 cm² (to 3 s.f.)

Step-by-step explanation:

Area of shaded region

= area of large circle -area of smaller circle

[tex]\boxed{area \: of \: circle = \pi {r}^{2} }[/tex]

Radius of large circle= 15cm

Radius of smaller circle= 12cm

Area of shaded region

= π(15²) -π(12²)

= 225π -144π

= 81π

= 81(3.14)

= 254.34

= 254 cm² (3 s.f.)

identify the zeros of each function

Answers

(-5,0)

Step-by-step explanation:

Numbers that lie on the x and y axis

A delivery driver is traveling a total of 250 miles from a warehouse to a store at an average speed of 45 miles per hour. The function f(x)=250-45xf(x)=250−45x represents the distance remaining, in miles, after traveling for xx hours.

Answers

Answer:

115miles

Step-by-step explanation:

Given the function of the distance remaining represented by the function

f(x) =250-45x where;

x is the time taken in hours

Since we are not told what to loom for, we can calculate the distance remaining after 3hrs.

Substitute x =3 into the equation

f(3) = 250-45(3)

f(3) = 250-135

f(3) = 115

Hence the distance remaining after 3 hrs is 115miles

I hate my life, the stress and anxiety makes it impossible for me to focus and concentrate in school, so I end up with even more missing asignments, which my ADHD doesn't help at all either. I just feel like its all too much. Theres nothing I can do to get out of thi situation. I feel like commiting s.u.i.c.i.d.e... Im scared.. I don't wanna tell my parents because im to nervous! I don't want to live or die..I need help.. Please someone out there tell me what I can do

Answers

Answer:

it may be hard but try talking to your parents or try reaching out to a friend

Answer:

oh :( im in a similar situation rn.. minus wanting to k.ms

Step-by-step explanation:

ok so you have to start somewhere right? even if your work has piled up, its better so start now then let it get even worse. that'll also make you feel worse. last semester i let everything pile up without doing a single assignment and i failed all of my classes. my parents and teachers were disappointed, and i used to be an all A student so it was really embarrassing. i wish i could go back in time and do all of my work so i would have free time now.

my point is you'll regret not doing your work, so please do it. you'll have more time to do things you enjoy, and im sure your parents will be proud of you for all the progress you've made. it seems hard right now but i promise it gets easier as you start working. if you get overwhelmed by anything, try telling your family, friends or teacher. they only want the best for you so please don't hesitate to ask them anything!!

What is the formula for the volume
of a cylinder and a cone?

Answers

Answer:

Cylinder - The formula for the volume of a cylinder is V=Bh or V=πr2h

Cone - The formula for the volume of a cone is V=1/3hπr²

Hope this helped <3

Complete the statement. Round to the nearest hundredth if necessary.

7 lb = oz

Answers

Answer:112

Step-by-step explanation:

Answer:

I dont know sorry

Watch help video
Determine if 0.438508742815886... is rational or irrational and give a reason for
your answer.
The number 0.438508742815886... is
because.............
Submit Answer
attempt 1 out of 2

Answers

Answer:

Irrational because it is a decimal that doesn´t repeat or terminate

Step-by-step explanation:

How to covert this y=(x-4)(x-12) into standard form

Answers

Answer:

x^2-16x+48

Step-by-step explanation:

Use foil,

x^2-12x-4x+48

x^2-16x+48

what is 6% of 36,990

Answers

Answer:

2219.4

Step-by-step explanation:

All you have to do is 6% of 36990 = 0.06 * 36990 = 2219.4

find the value of x
please help

Answers

Answer:

Here we can see that two lines are intersecting so that the angles formed will be vertically opposite angles,

Thus, the value of both angles will be equal

i.e., x+3 = 84

⇒ x = 84 - 3

x = 81

Thus the value of x is 81

Value Is 81 that’s the answer

A coach of a basketball team orders hats for the player on his team .Each hat cost $9.95.The shipping charge for the entire order is $5.00.There is no tac in this order /The total cost of the coachs order is less then $125.00.Which ineqo can be used to determine the greatest number of hats ,h,the coach orders?

Answers

Answer:

the answer is 9.95h+ 5 < 125

Step-by-step explanation:

Helpppppppp due todayyyy

Answers

B I think please give me brainliest
C. Since it’s a maximum number. It’s less then or equal to symbol. Because you spent money. You subtract from d.

So the answer is C

Write an equation of a linear function with slope −2 that passes through the point (4,−5).

Answers

Answer:

y=-2x+3

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=-2(x-4)

y+5=-2x+8

y=-2x+8-5

y=-2x+3

Hallie made 12 quarts of homemade yogurt. She put the yogurt in 34-cup containers. How many containers did Hallie fill?

Answers

Answer:

1 container and 14 cups

Step-by-step explanation:

We know that 1 quart = 4 cups

therefore, 12 quart = 48 cups

each container has 34 cups

so one container would be full and remaining 48-34 =14 cups can be filled in another container.

find the mean of the data set 2,5,5,6,8,9,13,14,15,18

Answers

Answer:

106142400

Step-by-step explanation:

2*5*5*6*8*9*13*14*15*18=1061424000

1061424000/10=106142400

the mean of the data set is 9.5

someone please help me

Answers

you didn’t put a picture or a question

Answer:

what do you need?

Step-by-step explanation:

is there like a photo or something?

solve the system of equations by adding. check your answer.
2x+2y=2
3x-2y= 43
the solution of the system is ( , ).?

Answers

Answer:

The solution of the system is (9,-8)

Step-by-step explanation:

2x+2y=2

3x-2y= 43

5x = 45

x = 9

2(9) + 2y = 2

18 + 2y = 2

2y = -16

y = -8

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