The volume of a rectangular prism is equal to
the area of the rectangular faces multiplied by
the prism's height. The volume of a
rectangular prism can be expressed as the
following quadratic x3 + 125 . Factor the
quadratic to determine the area of the
rectangular faces and the prism's height. Note:
Use ^to represent exponents, for example,
.
x^2.

Answers

Answer 1

Answer:

ang answer mo po ay 345prism po

Answer 2

The area of the rectangular is represented by quadratic function is (x²-5x+25).

What is a Cubic equation?

Cubic equations are polynomials of degree3.

That means, the maximum degree of polynomial is three.

And the standard form of cubic equation is;

f(x) = ax³ + bx² +cx +d, where a, b, c and d are constant coefficients and a ≠ 0.

Given:

The volume of a rectangular prism is equal to the area of the rectangular faces multiplied by the prism's height.

The volume = height x (the area of the rectangular)  ..... equation 1

The volume of a rectangular prism can be expressed as the following cubic function x³ + 125.

We can simplify the function,

x³ + 125,

= x³ + 5³

Here, we can use the formula,

x³+y³ = (x+y) (x²-xy+y²)

So,

x³ + 5³,

= (x+5) (x²-5x+25)

Comparing with the equation 1,

we get,

The height = (x+5) and the area of the rectangular = (x²-5x+25).

Therefore, (x²-5x+25) is the area of the rectangular.

To learn more about the cubic equation;

brainly.com/question/13730904

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Related Questions

Nik needs to estimate how many books will fit in a bin. Each book is 0.75 feet tall, 0.75 feet wide, and 0.25 feet thick. The bin is 4 feet wide, 4 feet tall, and 4 feet deep. Based on volume only, about how many books will fit in the bin?

Answers

Step-by-step explanation:

first you find the volume of a bin.

that is multiplication of 3 dimensions given.

4*4*4=64 cubic feet...

now volume of books..

0.75*0.75.0.25=0.14 cubic feet

now the number of books that will fit the bin=volume of bin/volume of books

64/0.14=455

455 books

We want to see how many books can fit in a bin, given that we know the dimensions of the books and the bin. We will see that 457 books can enter in the bin.

Remember that the volume of a rectangular prism of length L, width W, and height H is just given by:

V = L*W*H

Here we know that each book is:

0.75ft by 0.75ft by 0.25ft

Then the volume of a single book is:

V = 0.75ft*0.75ft*0.25ft = 0.14 ft^3)

While the bin is 4ft by 4ft by 4ft, thus its volume is:

V ' = 4ft*4ft*4ft = 64ft^3

The number of books that fit in the bin is given by the quotient between the bin's volume and the book's volume:

N = (64ft^3)/(0.14 ft^3) = 457 books.

If you want to learn more about volume, you can read:

https://brainly.com/question/1972490

Help help help help help please math I’m stuck

Answers

Answer:

its going to be the first one since the second one is a rotation

Step-by-step explanation:

The equation of a line that is perpendicular to the x-axis and passes through the point (2, -1).

Answers

Step-by-step explanation:

perpendicular to the x-axis means it is parallel to the y-axis.

and that means it is simply just a constant x value.

which x value ?

well, the point defines it (2).

so the solution is : x = 2

Synthetic division. (X^3+5x^2-x-9)+{x+2

Answers

Answer:

Step-by-step explanation:

If f(x)=x^2 and g(x)= (square root of x)+2, what is (g(f(2))+f(1)?

Answers

Step-by-step explanation:

I am not sure that you typed it all correctly.

but based on what is written here

f(x) = x²

g(x) = sqrt(x) + 2

so, g(f(2)) + f(1) = g(2²) + 1² = g(4) + 1 = sqrt(4) + 2 + 1 =

= 2 + 2 + 1 = 5

50 points!
Select all of the non-real complex numbers in the given table

Answers

Answer: 2nd, 3rd,5th,6th
Explananetion: you cannot get the squareroot of a negative number

Answer:

The 2nd,3rd,5th and the 6th

Step-by-step explanation:

got it right on edmentun/plato

I really need help! Brainliest awarded to correct answer
:))

Answers

Answer:

Can you be more specific on this question?

Step-by-step explanation:

Need help please!!!!!

Answers

Answer:A : slope = 20/1 -8/1 12/4 =3 Part B: The y-intercept is 5

Step-by-step explanation:

9514 1404 393

Answer:

  y = 3x +5

Step-by-step explanation:

The given form of the equation for a line is "slope-intercept" form. In order to use it, you need to know the slope of the line, and its y-intercept.

The y-intercept is where the line meets the y-axis. Here, that is halfway between 4 and 6, so we estimate the value to be b = 5.

The slope is the rise divided by the run. For x=1, the line has a point at (1, 8). That is 3 units above and 1 unit right of the point on the y-axis. Then the slope is ...

  m = rise/run = 3/1 = 3

For a slope of 3 and a y-intercept of 5, the equation of the line is ...

  y = mx +b . . . . . . slope m, y-intercept b

  y = 3x +5

A principal wants to know if students at a high school are in favor of a new dress code at the school. The Principal is not able to ask the opinion of every student at the school so she needs to select an appropriate sample of the students from the principal to represent the school. Select which sample of the students the principal should choose.

a. Students randomly selected from a list of all students at the school.
b. Students sitting at randomly selected tables in the library.
c. Students she selects from the hallway between classes.
d. Students selected by the teachers.

Answers

Answer:

a.

Step-by-step explanation:

b is unfair because not all types of students are represented. c is unfair because the principal can choose unfairly. d is unfair just like b is unfair.

What is the value of sin (1)?
-Pi/2.
0
Pi/2
Pi

Answers

Answer:

6 mhmh

Step-by-step explanation:

Talia sells educational software for a yearly salary of $65,000 plus a 2.65% commission on her total sales. If Talia sells $2.5 million of software during one year, what are Talia’s earnings for that year?

Answers

Answer:

$131250

Step-by-step explanation:

Talia's earnings during one year are equal to her base yearly salary ($65000) added to her commission. Now, to know the commission it is necessary to find the 2.65% of her total sales ($2.5 million)

Step 1. Divide the total sales or 2,500,000 by 100 considering this represents the total or 100%

2,500,000 ÷ 100 = 25000

Step 2. Multiply this number by the specific percentage (2.65)

25000 x 2.65 = 66250

Now add the commission and the yearly salary

65000 + 66250 = 131250

Hence, total earnings of Talia were $131250

Find the volume of the following cone. Round your answer to the nearest integer.

Answers

Answer:

754

Step-by-step explanation:

right triangle a² + b² = c²

                      9² + b² = 13²

                      81 + b² = 169

                            b² = 169 - 81

                            b² =  80

                            b  =[tex]\sqrt{80}[/tex]

   [tex]V = \frac{1}{3} \pi r^2h[/tex]

   [tex]V = \frac{1}{3} \pi (\sqrt{80} )^2 (9)[/tex]

  [tex]V = 3\pi (80)[/tex]

   [tex]V = 240\pi[/tex]

    Using π = 3.14                      Using calculator value of π

      V = 753.6                                V  =  753.9822369

What is the slope of a line that passes through (7,8) and (10,8) please help no links

Answers

slope=0
slope=(y2-y1)/(x2-x1)


8-8
——
10-7


0

3


=0

HELLPPPP COMPATIBLE NUMBERS

Yesterday, Nate’s mom bought 4 boxes of crackers for $2.59 each. About how much
did she pay for the crackers?

Answers

Answer:

She paid $10.36

Step-by-step explanation:

Answer:

10.36

Step-by-step explanation:

4 x 2.59 = 10.36

You have found the following ages (in years) of all 5 porcupines at your local zoo:

16,10,5,7,13

What is the average age of the porcupines at your zoo? What is the standard deviation? Round your answers to the nearest tenth.

Answers

Answer:

Average is 10.2 standard deviation is 3.4

Step-by-step explanation:

To find the average age, add all the value together then divide by the amount added. (5 + 7 + 10 + 13 + 16) / 5

Standard deviation is average distance from average of each number. 10.2-5, etc…

The average age of the porcupines at the zoo is 10.2 and the standard deviation is 4

What is Standard Deviation?

The term "standard deviation" (or "") refers to a measurement of the data dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Standard Deviation is calculated by

Each number's deviation from the mean must be determined, and then squared.Next, add up all of these values.Divide the result by the quantity of numbers.Then calculate its square root.

Given data ,

The set of ages of porcupines in zoo be S = { 16 , 10 , 5 , 7 , 13 }

The average of these numbers in set S is the sum of all the numbers divided by the number of elements in the set

So , Average age of the porcupines = ( 16 + 10 + 5 + 7 + 13 ) / 5

                                                            = 51 / 5

                                                            = 10.2

Therefore , the average age of the porcupines at the zoo is 10.2

The standard deviation is calculated by

Step 1 : Each number's deviation from the mean must be determined, and then squared.

( 16 - 10.2 )² + ( 10 - 10.2)² + ( 5 - 10.2 )² + ( 7 - 10.2 )² + ( 13-10.2 )²

= ( 5.8 )² + ( -0.2 )² + ( -5.2 )² + ( -3.2 )² + ( 2.8 )²

= 33.64 + 0.04 + 27.04 + 10.24 + 7.84

= 78.8

Step 2 : Divide the result by the quantity of numbers.

78.8 / 5

= 15.76

Step 3 : Then calculate its square root.

√15.76

= 3.96

≈ 4

Hence , the standard deviation is 4

To learn more about standard deviation click :
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The sides of a square have length s.
4 Write a formula for the perimeter P of the square.

Answers

Answer:P= s(4)

Step-by-step explanation:

D.
22
a
After breakfast, Samuel had of a gallon of juice left in a container. One
1
serving of juice is of a gallon. How many servings of juice remained in
16
the container?
A
16
B.
12
GO
C. 8
D. 4

Answers

Answer:

12

Step-by-step explanation:

Problem:

"After breakfast, Samuel had 3/4 of a gallon of juice left in a container. One serving of juice is 1/16 of a gallon. How many servings of juice remained in the container?"

One serving is 1/16 of a gallon.

The amount left is 3/4 gallon.

How many times the amount of 1/16 gallon is in 3/4 gallon?

3/4 ÷ 1/16 = 3/4 × 16/1 = 48/4 = 12

Answer: 12

WHTH IS THE MUITPLES OF SEVEN

Answers

Answer:

7, 14, 21, 28, and 35.

You can also find the multiples because you just multiply 7 by any number

Ex:

7 * 1 =7

7 * 2 = 14

7 * 3 = 21

7 *  4 = 28

etc.

Hope that helps you and have a great rest of your day!!

Step-by-step explanation: Just multiply 7 by 1, 2, 3, 4, 5, and more then you'll get the multiples (hope it helps +)

8x^3+12x^2y+6xy^2+y^3

Answers

Answer:

(2x−y)  

Step-by-step explanation:

Debes utilizar la fórmula de cubo binomial, a  

3 −3a 2 b+3ab 2 −b3 =(a−b)  3

donde a=2x y b=y.

Anyone know the answer

Answers

Answer:

Im guessing A=3.8 and B=24.0

Step-by-step explanation:

A pet store has 9 ​puppies, including 3 ​poodles, 3 ​terriers, and 3 retrievers. If Rebecka and​ Aaron, in that​ order, each select one puppy at random with replacement​ (they may both select the same​ one), find the probability that Rebecka selects a terrier and Aaron selects a retriever.

Answers

Answer:

10 PUPPIES

Step-by-step explanation:

)
The circumference of a circle is 8cm. What is the RADIUS of the circle?
A) 2 cm
B) 4 cm
C) 6 cm
D) 8 cm

Answers

The raduis of a 8cm circle would be 4cm

Select THREE expressions that are equivalent to 12x + 8y.

A. 12(x + 8y)
B. 4(3x + 2y)
C. 2(12x + 4y)
D. 4(2x + 3y)
E. 6x + 6x + 4y + 4y
F. 5x + 3x + 3x + x + 6y + y + y

Answers

Answer:

B

E

F

Step-by-step explanation:

B

4(3x+2y)

12x + 8y

E

6x+6x+4y+4y

12x + 8y

F

5x+3x+3x+x+6y+y+y

5x+6x+x+6y+2y

12x+8y

pls show steps on how to do it

Answers

Step-by-step explanation:

½× 10 × 5√3 cm² =

25√3 cm²

or

43.30 cm²

>> Answer

_________

[tex]\:[/tex]

1/2 × 10 × 5[tex]\sqrt{3}[/tex] = ...

= 5 × 5[tex]\sqrt{3}[/tex]

= 25[tex]\sqrt{3}[/tex]

Find two numbers whose sum is 12 and whose product is 35.

Answers

I've been tryna call

I've been on my own for long enough

Maybe you can show me how to love, maybe

I'm going through withdrawals

You don't even have to do too much

You can turn me on with just a touch, baby

I look around and

Sin City's cold and empty (oh)

No one's around to judge me (oh)

I can't see clearly when you're gone

I said, ooh, I'm blinded by the lights

No, I can't sleep until I feel your touch

I said, ooh, I'm drowning in the night

Oh, when I'm like this, you're the one I trust

(Hey, hey, hey)

I'm running out of time

'Cause I can see the sun light up the sky

So I hit the road in overdrive, baby, oh

The city's cold and empty (oh)

No one's around to judge me (oh)

I can't see clearly when you're gone

I said, ooh, I'm blinded by the lights

No, I can't sleep until I feel your touch

I said, ooh, I'm drowning in the night

Oh, when I'm like this, you're the one I trust

I'm just walking by to let you know (by to let you know)

I can never say it on the phone (say it on the phone)

Will never let you go this time (ooh)

I said, ooh, I'm blinded by the lights

No, I can't sleep until I feel your touch

(Hey, hey, hey)

I said, ooh, I'm blinded by the lights

No, I can't sleep until I feel your touch

How to write y=|x| shifted 3 units up and 4 units to the right as an equation?

Answers

Answer: 3=I4I

Step-by-step explanation:Since know that ”Y” = 3 and ”X” = 4 then you can just fillmin the equation in with those values.

Enter the value of 3.4 (6+12).

Answers

Answer:

61.2

Step-by-step explanation:

first you add 6+12 and then multiply that number by 3.4

3.4(6+12)
solve what’s in the paranthesis
3.4 X 18
now multiply the numbers
3.4 x 18 = 61.2

Which expressions are equivalent to 3(6e+4)+8(e+2)+6e ?

Select all that apply.


2e+5(6e+4)+24

23e + 28

4(8e+28)

28 + 32e

4(8e+7)

Answers

Answer:

MINE IS 4Q 9

Step-by-step explanation:

Multiply 2 times 27 using the area model label the model

Answers

Answer:

54

Step-by-step explanation:

2×27=54 hope this helps

Given (x – 7)2 = 36, select the values of x.

x = 13

x = 1

x = –29

x = 42

Answers

Answer:

x=1,13

Step-by-step explanation:

(x – 7)^2 = 36

Take the square root of each side

sqrt((x – 7)^2) = sqrt(36)

x-7 = ±6

x-7 = 6         x-7 =-6

Add 7 to all sides

x-7+7 = 6+7         x-7+7 = -6+7

x = 13                    x=1

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