The volume of a rectangular prism is (x^4 + 4x^3 + 3x^2 + 8x + 4), and the area of its base is (x^3 + 3x^2 + 8). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism? 4 O X+1- X4+4x2 + 3x? +8x+4 4 X+1+ X4-4x2 + 3x2 + 8x+4 x* O x+1-2-3x2 +8 © X+1 +

Answers

Answer 1

Answer:

If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by:

Given :

Volume of rectangular prism

Base Area of a rectangular prism =

---- (1)

Solution :

The volume of prism is the amount of space a prism occupies. It has two same faces and other faces that resemble a parallelogram.

Let the height of the prism be h.

Now, substitute the value of base area and volume of the rectangular prism in the given equation (1).

If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by:

Step-by-step explanation:

Dividing the volume by the base area, you find the height to be ...

The height of the prism is

The Volume Of A Rectangular Prism Is (x^4 + 4x^3 + 3x^2 + 8x + 4), And The Area Of Its Base Is (x^3 +

Answer 2

If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by (x+1) - 4//(x³ + 3x²+8)

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The volume of prism is the amount of space a prism occupies. It has two same faces and other faces that resemble a parallelogram.

Let the height of the prism be h.

Now, substitute the value of base area and volume of the rectangular prism in the given equation (1).

x⁴ + 4x³ + 3x² + 8x + 4 = (x³ + 3x²+8)h

Divide both sides by (x³ + 3x²+8)

h=(x⁴ + 4x³ + 3x² + 8x + 4)/(x³ + 3x²+8)

h=(x+1)((x³ + 3x²+8)-4)/(x³ + 3x²+8)

h=(x+1) - 4//(x³ + 3x²+8)

Hence, If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by (x+1) - 4//(x³ + 3x²+8)

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Related Questions

help me pls ASAP , ion understand :/

Answers

Answer:

-t+9.5<7

Step-by-step explanation:

-8.5 < 7

how do you simplify 2.7 x 6

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Answer:

16.2

Step-by-step explanation:

When does a limit exist.

Answers

Answer:

In order for a limit to exist, the function has to approach a particular value. In the case shown above, the arrows on the function indicate that the the function becomes infinitely large. Since the function doesn't approach a particular value, the limit does not exist.

Step-by-step explanation:

Let l be the length of a diagonal of a rectangle whose sides have lengths x and y, and assume that x and y vary with time. If x increases at a constant rate of 19 ft/s and y decreases at a constant rate of 15 ft/s, how fast is the size of the diagonal changing when x

Answers

The rate of change of the size of the diagonal is; 25.2 ft/s

By Pythagoras theorem;

The length, l of a diagonal of a rectangle whose sides have lengths x and y is;

l² = x² + y².

In essence; the length of the diagonal is dependent on the length, x and y of the sides.

Therefore;

(dl/dt)² = (dx/dt)² + (dy/dt)²

where;

(dx/dt) = 19 ft/s(dy/dt) = -15 ft/s

Therefore,

(dl/dt)² = 19² + (-15)²

(dl/dt)² = 361 + 225

dl/dt = √586

x = 44°

also we know, the other triangle is right angled triangle

so, it's one angle is 90° and 2nd angle is 44° (Vertically opposite angle)

therefore to know measure of angle 2 apply angle sum property of triangle in it too.

so,

90 + 44 + angle 2 = 180

134 + angle 2 = 180

angle 2 = 180 - 134

angle 2 = 46°

therefore, angle 2 is 46°

hope this answer helps you dear!

confused with this question

Answers

Answer:

max profit is 8000

and units sold to obtain max profit is 3000

Step-by-step explanation:

This equation is in general form for a parabola equation

so the vertex represent the maximum profit and units to be sold

General form looks like this

7=a(x-p)²+q

where p and q is the vertex, ie the max point

in this equation

p=3000

q=8000

so max profit is 8000

and units sold to obtain max profit is 3000

Jocelyn has apples and apricots in a ratio of 250:15. How many apples does she have if she has 3 apricots?
HELP ASAPP

Answers

Answer:50

Step-by-step explanation:

15 : 5 = 3

250 : 5 = 3

Plz.Help!me to solve first ano. and bno.

Answers

Answer:

a) rs 3000

b) rs 16800

a) rs 1600

b) rs 4000

divide 100,000 by 10 scores

Answers

10)100000(10000

___

××0000

Answer:

5000

Step-by-step explanation:

1 score = 20

10 scores

= 10 x 20

= 200

100,000 / 10 scores

= 100,000 / 200

= 5000

Identify the domain of the function shown in the graph.
O A. x>-1
O B. {-1,1)
O C. -15x31
O D. xis all real numbers.

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choice is ~

x is all real numbers

Option D is correct, domain of the function in the graph are x is all real numbers.

What is a function?

A relation is a function if it has only One y-value for each x-value.

We have to find the domain of the given function.

What can go into a function is called the Domain.

What may possibly come out of a function is called the Codomain.

What actually comes out of a function is called the Range.

IAs we observe the x values through which the curve is passing, it is passing through all the points of x axis.

So the domain will be all the real d=numbers.

Hence, Option D is correct, domain of the function in the graph are x is all real numbers.

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Given m||n, find the value of x. (10X-40°)(x-140°

Answers

Answer:

Step-by-step explanation:

no es mi culpa que eres una caca

For an art project you are using a piece of cloth out in the shape of an right triangle What’s the area of the cloth?

Answers

Answer:

Step-by-step explanation:

2x = x - 4

2x - x = - 4

x = - 4

________

Hope it helps ⚜

Answer:

x=-4

Step-by-step explanation:

2x=x-4

2x-x=-4

x=-4

Proof

2*(-4)=-4-4

-8=-8

Find the 8th term of the G.P 9,3,1,

Answers

Answer:

a=9 , d=6 n=8

a+(n-1)d = an

9+(8-1)6 = an

9+7×6 = an

9+42 = an

51 = an

100 if u get this right!

Answers

2 because it is the number being added to the zero intercept in the equation

Answer:

●y = mx + c

c = intercept

y = 9x + 2

intercept c =2

What is (n+9) - (2-2n)

Answers

Answer:

Simplifying

(n + 9) + -1(2 + -2n) = 0

Reorder the terms:

(9 + n) + -1(2 + -2n) = 0

Remove parenthesis around (9 + n)

9 + n + -1(2 + -2n) = 0

9 + n + (2 * -1 + -2n * -1) = 0

9 + n + (-2 + 2n) = 0

Reorder the terms:

9 + -2 + n + 2n = 0

Combine like terms: 9 + -2 = 7

7 + n + 2n = 0

Combine like terms: n + 2n = 3n

7 + 3n = 0

Solving

7 + 3n = 0

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-7' to each side of the equation.

7 + -7 + 3n = 0 + -7

Combine like terms: 7 + -7 = 0

0 + 3n = 0 + -7

3n = 0 + -7

Combine like terms: 0 + -7 = -7

3n = -7

Divide each side by '3'.

n = -2.333333333

Simplifying

n = -2.333333333

Step-by-step explanation:

Pls help meeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

He should be just fine.

There are 1000 grams in a kilogram.

He has 3410 grams [ 1 kg / 1000 grams ] = 3.410 kg.

He has 3 kg with 0.410 kg left over.

Sub :- Linear Equations

Answers

Hiiiiiiiiiiiii

The value of x is 1 & y is 2 (a).

Steps are attached.

______

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

Express 0.12 as a fraction

Answers

Answer:

Your answer is 3/25

Step-by-step explanation:

Answer:

The answer is 12/100 or 6/50

what is 2 x 5/8 in fractions i need help

Answers

Answer:

5/8 x 2 = 10/8 as simplified as 5/4 in fraction form.

5/8 x 2 = 1.25

in decimal form.

Step-by-step explanation:

The solution of the fraction is,

⇒ 5 / 4

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The fraction is,

⇒ 2 × 5/8

Now, We can simplify as;

The fraction is,

⇒ 2 × 5/8

Multiply as;

⇒ 10 / 8

⇒ 5 / 4

Thus, The solution of the fraction is,

⇒ 5 / 4

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309x29 WORK MUST BE SHOWN PLSSSS

Answers

Answer:

8961

Step-by-step explanation:

3 0 9

× 2 9

____________________________

+ 2 7 8 1

+ 6 1 8

____________________________

= 8 9 6 1

100 points
Help plz
show work
(2t)/(5)=(t^(2)-5t)/(5t)

Answers

Answer:

[tex]t=-5[/tex]

Step-by-step explanation:

[tex]\frac{2t}{5} = \frac{t^{2} -5t}{5t}[/tex], [tex]t\neq 0[/tex]

[tex]\frac{2t}{5} = \frac{t(t-5)}{5t}[/tex]

[tex]\frac{2t}{5} = \frac{t-5}{5}[/tex]

[tex]2t = t-5[/tex]

[tex]t=-5[/tex]

T= -5 trust me it’s right

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