The volume of a rectangular prism can be modeled by the expression 4x3 - 108.

Find expressions for the dimensions of the prism by factoring, Write dimensions in box.

Answers

Answer 1

Answer:

4(x - 3)(x^2 + 3x + 9)

Step-by-step explanation:

4x^3 - 108 = 4(x^3 - 27), or

                    4(x^3 - 3^3), or

                     4(x - 3)(x^2 + 3x + 9)    

We could choose to let 4 represent the height of the prism, x - 3 the width and x^2 + 3x + 9 the length.


Related Questions

List Factors of 27??? (Pls answer I don't wanna waste points)

Answers

Answer:

1, 3, 9, 27

Step-by-step explanation:

Answer:

3*7

3*3*3

3^3

Step-by-step explanation:

.............

If AD = 18 then

AB=

BC=

BC=

Answers

Step-by-step explanation:

where is the diagram or shape my guy

A hose fills a hot tub at a rate of 4.68 gallons per minute. How many hours will it take to fill a ​338 gallon hot​ tub?

Answers

Answer:

1 hour and 12 mins and 56 seconds

Step-by-step explanation:

Hope this helps and have a great day!!!

HELP MY MOM IS GOING TO KILL ME

Answers

Answer:

−a2+17b

Step-by-step explanation:

Help me pleaseeeeeeeeeeee

Answers

Answer: 990 lb

Step-by-step explanation:

t = (4 x 180) + (3 x 90)

t = 720 + 270 = 990

Which rule describes the translation?
y
5
B
С
O(x, y) - (x -8, y - 3)
O(x, y) = (x - 3, y + 8)
(x, y) + (x + 8, Y-3)
O (x, y) = (x + 3y + 8)
B'
C'
A
-5
D
A'
D'

Answers

Answer:

(x,y) -> (x + 8, y - 3)

Step-by-step explanation:

Move any point to the right 8 units, and down 3 units. You are just translating the shape, not dilating, reflecting, or rotating it.

guys help i dont know this Find the value of the expression 2x – 3y + 4z, if x = 10, y = -12 and z = 11.

Answers

Answer:

100 answer is correct

Step-by-step explanation:

2×10-3×-12+4×11

20+36+44

100 answer is correct

Step-by-step explanation:

2x-3y+4z

x=10

y=12

z=11

2(10)-3(-12)+4(11)

20+36+44

and the answer is 100

(made a lot of mistakes so edited answer!)

good day :)

PLS HELP ASAP
WILL MARK BRAINLIEST

Answers

Answer:

first blank is x, then -7, then 11, then -11.

Step-by-step explanation:

Hope it helps!

A petri dish has 10, 000 bacteria in it. After 4 hours the bacteria’s population increased to 20,000. If the number of colonies grows exponentially, write a formula for the number of bacteria in the dish at any time t, where t is in hours

Answers

Answer:

[tex]P(t) = 10000e^{0.1733t}[/tex]

Step-by-step explanation:

The population of bacteria grows exponentially, which means that it can be represented by a function in the following format:

[tex]P(t) = P(0)e^{rt}[/tex]

In which P(0) is the initial population and r is the growth rate.

A petri dish has 10, 000 bacteria in it.

This means that [tex]P(0) = 10000[/tex]. So

[tex]P(t) = 10000e^{rt}[/tex]

After 4 hours the bacteria’s population increased to 20,000.

This means that [tex]P(4) = 20000[/tex], and we use this to find the growth rate. So

[tex]P(t) = 10000e^{rt}[/tex]

[tex]20000 = 10000e^{4r}[/tex]

[tex]e^{4r} = \frac{20000}{10000}[/tex]

[tex]e^{4r} = 2[/tex]

[tex]\ln{e^{4r}} = \ln{2}[/tex]

[tex]4r = \ln{2}[/tex]

[tex]r = \frac{\ln{2}}{4}[/tex]

[tex]r = 0.1733[/tex]

So, the formula is given by:

[tex]P(t) = 10000e^{0.1733t}[/tex]

PLEASE HELP AND ANSWER ALL 3

Answers

Answer: 10.) -6 and it's B

11.) A

12.) C

Step-by-step explanation:

Evaluate the expression when a =
and b = 6.
16a? – 4b =

Answers

Answer:

Step-by-step explanation:

16(1/4)^2 - 4(6)

16(1/16) - 24

1 - 24 = -23

Drag the labels to the correct locations. Each label can be used more than once, but not all labels will be used.

Simplify the expression by rewriting it as a complex number in the standard form a+bi

Answers

Given:

The expression is

[tex]\sqrt{64}+\sqrt{-144}[/tex]

Rewriting it as a complex number in the standard form a+bi.

To find:

The missing values in the given simplification.

Solution:

We have,

[tex]\sqrt{64}+\sqrt{-144}[/tex]

It can be written as

[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+\sqrt{-1\cdot 12^2}[/tex]

[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+\sqrt{-1}\cdot \sqrt{12^2}[/tex]

[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+i\cdot \sqrt{12^2}[/tex]   [tex][\because \sqrt{-1}=i][/tex]

[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+i\cdot 12[/tex]

[tex]\sqrt{64}+\sqrt{-144}=8+12i[/tex]

Therefore, the missing values are [tex]-1,\ i,\ 12i[/tex] respectively.

Answer:

Sample Answer for Edmentum

Like and Rate!

Step-by-step explanation:

Find the equation of the line with slope of 4 and y-intercept of -3.
A. y = 1/4x - 3
B. y = -1/4x – 3. C. y = 1/4x + 3
D. y = 4x - 3

Answers

Answer:

y = 4x -3

Step-by-step explanation:

The slope intercept form of an equation is

y = mx+b where m is the slope and b is the y ntercept

y = 4x -3

Please help 30 points

Answers

Answer:

The total surface area is 973.89 ft

Step-by-step explanation:

The formula for the surface area of a cylinder is A=2πrh+2πr2.

The top cylinder has a radius of 5 ft, and height of 2 ft.

The bottom cylinder has a radius of 10 ft, and a height of 2 ft.

Plug in the numbers for each and you get:

Top Cylinder:

A=2π(5)(2)+2π(5^2)

A=2π(10)+2π(25)

A= 62.83185307 + 157.079327

A= 219.9111801

A≈ 219.91

Bottom Cylinder:

A= 2π(10)(2)+2π(10^2)

A= 2π(20)+2π(100)

A= 125.6637061 +  628.3185307

A= 753.9822368

A≈ 753.98

Combined:

753.98 + 219.91 = 973.89

Use the fractions 36in./1yd and 2.54 cm/1 in convert 3yd to cm

Answers

Ndiuewuneqdkiqjdqjiodqeiojqdoiqdioaejdijeioeajdihoqedjioqedjoiqhioeqoieqjd

Help me I'm too tired to think and this is easy.

Please tell me if this number is greater than, less than or equal to 5. The number is -(-5)

Answers

Answer:

equal to

Step-by-step explanation:

two negatives equals positive

Answer:

Equal

Step-by-step explanation:

Double negative equals a positive. Gn

y = -1X + 9
Use the equation to predict the number of visits per week to a coffee shop that is 3 blocks away.

Answers

Answer:

Step-by-step explanation:

It is a pity that we can't see the name of the units on the y axis. I sound like a grumpy old man (which I am), but the answer might be easy enough. Follow the line upwards from x=3 to the best fitting line. Then go left until you hit the y axis.

All other things being equal, you should get 6. I'm not positive about this because the units are differently spaced along each axis. But I do think you have the right equation y = -x + 9

help I'm confused there are many formulas, and do not know which one is right​

Answers

9514 1404 393

Answer:

  384 cm²

Step-by-step explanation:

It is always a good idea to take a look at what you have and what you are being asked before you go launching into formulas. Then you can pick the formula(s) appropriate to your needs.

__

Your pyramid has a square base, so four (4) triangular faces. The area being asked for is the total of the areas of the square base and those triangular faces.

The formula for the area of a square is ...

  A = s² . . . . . where s represents the side length

Here, the side of the square is 12 cm, so the area of the square base will be ...

  A = (12 cm)² = 144 cm²

__

The formula for the area of a triangle is ...

  A = 1/2bh . . . . . where b is the base length and h is the altitude

In this problem, you're not given the altitude of the triangular face (also called the "slant height" of the triangle). Instead, you're given the height of the pyramid. So, you have to determine the slant height.

Consider the cross section you get when you cut the pyramid with a vertical plane through the peak and the middle of opposite sides. It will be an isosceles triangle with a base equal to the side length of the pyramid, and side lengths equal to the slant height of the pyramid face. See the attachment for an idea of what this looks like.

In order to determine the length of the side of that cross-section triangle, draw its altitude. That is the 8 cm height of the pyramid. Then use the Pythagorean theorem to find the hypotenuse of the right triangle with legs 6 cm and 8 cm:

  slant height = √(8² +6²) = √100 = 10 . . . . cm

Now, we can find the area of one of the four triangular faces:

  A = (1/2)(12 cm)(10 cm) = 60 cm²

__

The surface area of the pyramid is then ...

  surface area = base area + 4 × triangular face area

  surface area = 144 cm² + 4 × 60 cm² = (144 +240) cm²

  surface area = 384 cm²

It's for middle SCHOOL PLZzzz HELPPP!!!
You have a coupon for an additional 25% off the price of any sale item at a store. The store has put a robotics kit on sale for 15% off the original price of $40. What is the price of the robotics kit after both discounts?

Answers

Answer:

$25.50

Step-by-step explanation:

Answer:

(40)(15/100)=6

(40)(25/100)=10

10+6=16

orginal price at 40

After discounts 16

40-16=24

so you can buy it in 24$

Hope it helped you

How are the signs of the coordinates of A and F related?

Answers

Answer:

1. A rotate 180° counterclockwise    (x,y) --> (-x,-y)  or

2. A reflect about the origin (0,0)     (x,y) --> (-x,-y)

Step-by-step explanation:

A ( -2 , 4)      F (2 , -4)

2 ways:

1. A rotate 180° counterclockwise    (x,y) --> (-x,-y)  or

2. A reflect about the origin (0,0)     (x,y) --> (-x,-y)

Wish this is right...

Answer:

The coordinates of point A are (-2, 4), and the coordinates of point F are (2, -4).The x-coordinates, -2 and 2, are opposites, and the y-coordinates, 4 and -4, are opposites.

Step-by-step explanation:

!!edmentum answer!!

Let Ln denote the left-endpoint sum using n subintervals and let Rn denote the corresponding right-endpoint sum. In the following exercise, compute the indicated left and right sums for the given function on the indicated interval.
L4 for f(x)=1/x−1; [2,3]

Answers

Answer:

[tex]L_4=0.7595[/tex]

Step-by-step explanation:

We are given that

[tex]f(x)=\frac{1}{x-1},[/tex][2,3]

We have to find L4

It means n=4

[tex]\Delta x=\frac{b-a}{n}=\frac{3-2}{4}=\frac{1}{4}=0.25[/tex]

Now, intervals are

[2,2.25],[2.25,2.50],[2.5,2.75],[2.75,3]

Now,

[tex]L_4=f(x_0)\Delta x+f(x_1)\Delta x+f(x_2)\Delta x+f(x_3)\Delta x[/tex]

[tex]L_4=\frac{1}{2-1}(0.25)+\frac{1}{2.25-1}(0.25)+\frac{1}{2.5-1}(0.25)+\frac{1}{2.75-1}(0.25)[/tex]

[tex]L_4=0.7595[/tex]

You are driving up a mountain. At the base of the mountain you see a sign that states the elevation above sea level is 3,720 feet at this point. You then travel a horizontal distance of 5 miles to the top of the mountain, and see another sign that states the elevation is 4,215 feet above sea level. What was the average slope of the mountain you just climbed in feet/mile?

A) 843 ft/mi
B) 744 ft/mi
C) 99 ft/mi
D) 0.0188 ft/mi

Answers

Step-by-step explanation:

Slope of the mountain

= Rise in height / Run in distance

= (4215ft - 3720ft) / 5 mi

= 495ft / 5mi

= 99ft/mi. (C)

Solve for x
5x + 2 = 17

Answers

Answer:

r

Step-by-step explanation:

r

Answer:

Step-by-step explanation:

Here you go mate

Step 1

5x+2=17  Equation/Question

Step 2

5x+2=17  Simplify

5x+2=17

Step 3

5x+2=17  Subtract 2

5x=15

Step 4

5x=15  Divide

answer

x=3

Hope this helps

Will mark brainliest!!! Please solve the ones in green using Tran

Answers

Answer: 160.96 and 99.03

Step-by-step explanation:

Number 1:

[tex]tan(61) = \frac{x}{43}[/tex] [tex]tan(61)(43) = x[/tex][tex]160.96 = x[/tex]

Number 2:

[tex]tan(57) = \frac{48}{x}[/tex][tex]tan(57)(x) = 48[/tex][tex]x = \frac{48}{tan(57)}[/tex][tex]x = 99.03[/tex]
here is a picture of the work and the final answers. i hope this helps!

What is the value of 1/2 x^3+3.4y when x=2 and y=5?

Answers

(1/2) * x^3 + 3.4y when X = 2 and Y = 5.
= (1/2) * (2^3) * 3.4(5)
= (1/2) * 8 * 17
= (1/2) * 136
= 136/2
= 68.

Sort the following expressions by rewriting tham is the table.

Answers

Answer:

Helllllllllllllllllo pls say it back  or ur stupied

Step-by-step explanation:

Help please I will Brainly

Answers

Answer:

we have the same computer

Step-by-step explanation:

Answer:

[tex]114\:\mathrm{yd^2}[/tex]

Step-by-step explanation:

The composite shape consist of two rectangles. We can find the area of these two rectangles and add them to get our answer:

[tex]10\cdot9+6\cdot 4= 90+24=\fbox{$114\:\mathrm{yd^2}$}[/tex].

Stephanie is baking cookies for a party. The recipe calls for 3 cups of flour,
2 cups of milk, and 1 cup of chocolate chips. What percentage of
Stephanie's cookie recipe is chocolate chips? *

Answers

Answer:

2 cups of milk, and 1 cup of chocolate chips. What percentage of

Step-by-step explanation:

At the same time of day, a tree and a flagpole cast shadows as shown below.
How tall is the tree?

Answers

Answer:

16 feet

Step-by-step explanation:

Height of tree = [tex]\frac{20}{15}[/tex] × 12ft

                       = 16ft

father's step is 65cm long while his daughter's step 4dm long. they start walking together. when the father has walk 8 step, his daughter has walked... step​

Answers

Answer:

5 steps

Step-by-step explanation:

[tex]65cm \times 8 = 520cm[/tex]

[tex]4dm = 40cm \\ 65 - 40 = 25[/tex]

[tex]25 \times 8 = 200cm \: gap[/tex]

[tex]200 \div 40 = 5[/tex]

Answer:

His daughter has walked 13 steps

Step-by-step explanation:

Unit Conversion

Each step of the father is 65 cm long and each step of his daughter is 4 dm long.

Recalling that 1 dm = 10 cm, then each step of the daughter is 4*10 = 40 cm long.

Now we can compare both measures. When the father has walked 8 steps, this distance is 8*65 = 520 cm, and the daughter has walked 520/40 = 13 steps.

His daughter has walked 13 steps

Other Questions
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