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

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.

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

write 65% as term fraction in its lowest a

Answers

Answer:

13/20

Step-by-step explanation:

65% = 65/100 = 13/20

Hoped this helped.

Answer:

13/20

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

dl/dt = 25.2

Therefore, the size of the diagonal is changing at a rate of; 25.2 ft/s.

Answers

Answer:

None of those are the correct answer. The answer is 10.3625

Step-by-step explanation:

So, yes there is a 3625 but it is only in the decimal places such as the tenths, the hundreths and the thousandths.

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

What is the value of this expression?

1.5(−2.4+(−5.3))

−11.55

−4.35

4.35

11.55

Answers

Answer:

the answer is negative 11.55

Step-by-step explanation:

-2.4+-5.3=-7.7.

7.7(1.5)=-11.55

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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Find m<2
See picture for full problem. Please and thank you!

Answers

Step-by-step explanation:

as the other triangle is Isosceles triangle which means it's two sides are equal and two angles are equal so

to find its 3rd angle apply angles sum property on it

according to which

2(68) + x = 180

136 + x = 180

x = 180 - 136

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!

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

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

2x=x-4
solve for x
step by step please

Answers

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

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:

6*6/2 = 18

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

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

hit test
Students were surveyed about their preference between dogs and cats. The following two-way table
displays data for the sample of students who responded to the survey.
How many students in the sample were female?
students
Preference
Male
Female
Prefers dogs
36
20
Prefers cats
10
26
No preference
2
6
Report a problem

Answers

Answer:

Step-by-step explanation:

add the columns with the female opinions (2 + 26 + 6)

then you get 52

help me pls ASAP , ion understand :/

Answers

Answer:

-t+9.5<7

Step-by-step explanation:

-8.5 < 7

Which shows the prodcuts orderd from least to greatest

Answers

Bottom left

——————
——————

Choose the angles that are adjacent to <3

Answers

Answer:

<2 & <4

Step-by-step explanation:

yeah-ya........ right?

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

Answers

Answer:

a) rs 3000

b) rs 16800

a) rs 1600

b) rs 4000

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

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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____x0.01 = 180.4932
what's the answer?

Answers

18049.32

180.4932/0.01= 18049.32
or
Just move the decimal point twice to the right

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

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

how do you simplify 2.7 x 6

Answers

Answer:

16.2

Step-by-step explanation:

its in the photo which one is the answer

Answers

Answer:

number 3 is the answer

Step-by-step explanation:

hope u understand

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:

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