The volume of a rectangular prism is 2x^3 - 6x^2 + 8x , and the volume of a cube is 27x^3. What is the total volume of the prism and the cube?

Answers

Answer 1

Answer:

[tex]\displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle V_P = 2x^3 - 6x^2 + 8x[/tex]

[tex]\displaystyle V_C = 27x^3[/tex]

Step 2: Find Combined Volume

[Set up] Add:                                                                                                     [tex]\displaystyle V_P + V_C = V_{P + C}[/tex]Substitute in variables:                                                                                    [tex]\displaystyle V_{P + C} = 27x^3 + 2x^3 - 6x^2 + 8x[/tex]Combine like terms:                                                                                        [tex]\displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x[/tex]

Related Questions

A square is cut diagonally into two equal parts. If each part has an area of 50cm^2, then what is the perimeter of each part?

50 points the answer isnt 30 so dont say it is because it isnt

Answers

Answer:

its 25.

Step-by-step explanation:because 50 divided by 2 is 25.

Answer:

40 units

Step-by-step explanation:

1) Find the side length of the square

Let the side be "s".

[tex]\rightarrow \frac{1}{2} \times s \times s = 50 \ \text{cm}^{2}[/tex]

[tex]\rightarrow s \times s = 50 \times 2[/tex]

[tex]\rightarrow s \times s = 100[/tex]

[tex]\rightarrow \sqrt{s \times s} = \sqrt{100}[/tex]

[tex]\rightarrow s = \±10[/tex]

[tex]\rightarrow s = 10 \ \text{units}[/tex]                                      (Side lengths can never be negative)

2) Find the perimeter of the square

[tex]\text{Perimeter of square = 4(s) = 4(10) = 40 units}[/tex]

) It took 2 pumps 6 hours to pump the water out of a pond. How long would it take if 3 pumps
were used?

Answers

Answer:

it would take 2 hours with 3 pumps

Step-by-step explanation:

hope this helps! :D

Which statement is true

Answers

I think the answer is D

solve for c. 3c+2=-10 and thank you

Answers

Answer:

c= -4

Step-by-step explanation:

Given that:.3c+2 = -10

⇛ 3c = -10 - 2

⇛3c = -12

⇛c = -12:3 = -12/3

.°. c = -4 Ans .

what is the answer to the equation -7x-3x+2= -8x - 8

Answers

Answer:

x=5

Step-by-step explanation:

-7x-3x+2= -8x - 8

Add like terms

-7x-3x=-10x

-10x+2=-8x-8

+8x       +8x

-2x+2=-8

     -2  -2

-2x=-10

Divide by -2 to isolate the variable

x=5

Answer:

x = 5

Step-by-step explanation:

what is the answer to the equation

-7x - 3x + 2= -8x - 8

-7x - 3x + 8x = -10

2x = -10

x = 5

----------------------

check

-7 * 5 - 3 * 5 + 2 = -8 * 5 - 8

-48 = -48

the answer is good

What is the slope??
(The bottom one says : (1, 1)

Answers

Slope is the steepness of a line as it moves from LEFT to RIGHT. Slope is the ratio of the rise, the vertical change, to the run, the horizontal change of a line. The slope of a line is always constant (it never changes) no matter what 2 points on the line you choose.
The slope is: -1/3
Ok done. Thank to me :>

expand and simplify \left(4+\sqrt{2}\right)\left(6-\sqrt{2}\right) give your answer in the form of b +c \sqrt{2}

Answers

Answer:

you get 15\3 divide then you answer would be 5

Step-by-step explanation:

The following diagram shows the side view of a roof and attic space of a newly constructed
home. Find m

A. 20°
B. 40°
C. 60°
D. 25°

Answers

Answer:

A 20

Step-by-step explanation:

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

A vehicle factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends on the number of cars
made. If x cars are made, then the unit cost is given by the function C(x)=0.2x2 - 92x+29,516. What is the minimum
unit cost?
Do not round your answer.

Answers

Answer:

check online for more information

If f(x) = 14
then what does f(-3) equal?

Answers

Answer:

27 I do believe so sorry if im wrong

Step-by-step explanation:

There are 30 kilograms of 10 percent apple juice how much more aplle juice does it need to get to 25 percent?

Answers

Answer:

45 kg of apple juice

Step-by-step explanation:

Divide 25% by 10%

The answer you get multiply it by 30

Take the answer you get subtract the 30 kg

A donut shop made 50 donuts. They put frosting on 2 of the donuts. What is the ratio of the
number of donuts with frosting to the number of donuts without frosting?
50:48
2:48
50:2
2:4
Submit

Answers

Answer:

50-2

Step-by-step explanation:

there is 50 donuts and 2 that are frosted :)

Step-by-step explanation:

2 have frosting, therefore 50-2 = 48 don't.

so, the ratio is for frosting vs. non-frosting

2 : 48 (which would be also 1 : 24).



find the values of x and y ????

show step plz​

Answers

Answer:

x= 90 degrees

y= 47 degrees

Step-by-step explanation:

Since the two sides of this triangle are equal in lengths, you know that it is an isosceles triangle.

So with this information, you know that the angle at the bottom left is also 47 degrees.

x would be equal to 90 degrees because it is perpendicular to the bottom of the triangle (assuming).

A triangle has 180 degrees, so add up the lengths we have to solve for the missing angle, y.

90+47+y=180

y= 43

[tex]{\huge{\boxed{\mathfrak{Answer\:With\:Explanation}}}[/tex]

First we can say [tex]x=90[/tex]°, since x is located at the right angle part.

Now we can make an equation

[tex]90+47+y=180[/tex]

subtract 137 from sides.

[tex]y=43[/tex]

_________________________________

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

[tex]x=90[/tex]° [tex]y=43[/tex]°

_________________________________

a triangle with side 9,10and 11 has the same perimeter as a square with sides of length

Answers

Answer:

7.5.

Step-by-step explanation:

A square has 4 equal sides so:

4x =  9  + 10 + 11    where x is the length of one side of the square.

4x = 30

x = 7.5.

Compare 2/5 and 8/10

Answers

Answer:

2/5 is 4/10. 8/10 is 2 time greater than 2/5.

Step-by-step explanation:

4/10= 0.8, which can be written 8/10.

Make me brainlist.

For his statistics project, Martin recorded the weights of some apples.
Apples' weights (9)
+
70
80
90
100
110
120
What was the range of the apples' weights?
grams

Answers

Answer:

50 grams

Step-by-step explanation:

You simply subtract 70 from 120, and get 50.

Answer:

40 Grams!! i got it wrong and this was the answer

Step-by-step explanation:

Need help ASAP on #22 please!! Just #22. I couldn't take a proper picture of it because my hand was too shaky and I'm using P.C.

Giving Brainliest to a person who gets it right. I need an answer ASAP! This is my last question.

Answers

puzzle 1 and puzzle 3

Brian had $40 in his savings account in January. He continued to add money to his account and by June, the value of the savings account had increased by 50%. How much money is in Brian's account in June?

Answers

Answer:

Well the answer is

Step-by-step explanation:

GET YO BUTT OFF THIS APP AND ACTUALLY READ A MATHS BOOK


What is the sum of -6 and 9?

Answers

Answer:

3

Step-by-step explanation:

-6+9=3

= 259.84 −168.789what is the answer

Answers

Answer:

91.051

Step-by-step explanation:

 259.840

- 168.789

---------------

 091.051

----------------

Can someone help me with this problem plz

Answers

Answer:

mq - 12

ql - 36

Step-by-step explanation:

I am not for sure but this is what I think it is because the m-q is smaller than the q-l

Question 16

What is the shortest distance between the line y = 2x+4 and the point at (0.0)? Round to the nearest tenth.


O A) 1.8

O B) 2.0

O C) 3.2

O D) 4.0

Answers

the answer is 1.78 but rounded to the nearest tenth would be 1.8 which would be A.
hope this helps!

The shortest distance between the line y = 2x+4 and the point at (0.0) is 1.8 units option (A) is correct.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that:

The equation of the line is:

y = 2x + 4

Or

2x - y + 4 = 0

The point is (0, 0)

As we know, the formula for the shortest distance between the line and a point:

D = |ax + bx + c|/√(a²+b²)

Plug x = 0 and y = 0

a = 2, b = -1, and c = 4

D = |2(0) + -1(0) + 4|/√(2²+(-1)²)

D = 4/√5

D = 1,78 ≈ 1.8 units

Thus, the shortest distance between the line y = 2x+4 and the point at (0.0) is 1.8 units option (A) is correct.

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ2

Find the zeros of quadratic equation X^2 - 3x + 9 = 5x - 10

Answers

x^2 - 3x + 9 - 5x + 10 = 0

x^2 - 8x + 19 = 0

[tex]x^{2} -3x+9=5x-10 <=> x^{2} -3x-5x+9+10=0\\<=>x^{2} -8x+19=0 <=>x^{2} -2.4+16+3=0\\<=>(x-4)^2+3=0[/tex]

ok done. Thank to me :>

7 is a factor of
a 28
b 16
c 11
d 4

Answers

Answer:

a) 28

Step-by-step explanation:

Solución

10x-3x=11+10

Answers

Answer: x=3

Step-by-step explanation:

x=3
10x-3x=11+10
7x=21
x=3

6. Find the average rate of change of Pete's height from 3 years
old to 5 years old.

Choices:
o 2 inches per year
o 4 inches per year
O 8 inches per year

Answers

Answer:

The Answer is "4 inches per year"

Step-by-step explanation:

To find the Average Rate of Change, you use:

[tex]\frac{y_{2} -y_{1}}{x_{2} -x_{1}}[/tex]

So when you insert the numbers from the table, you get:

[tex]\frac{45-37}{5-3}[/tex]

After solving the answer you get is 4.  So the avg rate of change is 4 inches per year.


Write an equation in slope-intercept form of the line that passes through (1,-9) and (3,-7)

Answers

Answer:

Y= x-10

Step-by-step explanation:

M= Y2-Y1/X2-X1

  = -7-(-9)/3-1

  = 2/2

  = 1

sub x=1 and y=-9 into Y=MX + C

-9=1+C

-9-1=1+C-1

C=-10

Suppose you have a box with 3 blue marbles, 2 red marbles, and 4 yellow marbles. You are going to pull out one marble, record its color, remove it from the box and draw another marble. What is the probability of pulling out a red marble followed by a blue marble? The multiplication rule says to use P(red) P(blue).

Question: Describe the process of finding the probability of finding a red marble followed by a blue marble if the first marble was permanently removed?

Answers

Answer:

that is dependent event when you are taking out first marble permanently

BRANLIEST FOR CORRECT ANSWER



Complete the pairs of corresponding parts if △RST ≅ △TXY.
∠S =

∠ TXY
∠ XTY
∠ XYT



Complete the pairs of corresponding parts if △RST ≅ △TXY.
∠STR =

∠ XYT
∠ TXY
∠ XTY



Complete the pairs of corresponding parts if △RST ≅ △TXY.
RS =

TX
XY
TY




Complete the pairs of corresponding parts if △RST ≅ △TXY.
ST =

TY
XY
TX





Complete the pairs of corresponding parts if △RST ≅ △TXY.
RT =

TX
XY
TY





Complete the pairs of corresponding parts if △ABD ≅ △EFC.
∠A =

∠ FCE
∠ FEC
∠ EFC





Why is ▲MAE ≅ ▲TON?

HL
HA
LL




All of the following are ways to prove triangles congruent except

SAS
SSA
ASA
SSS

Answers

Answer:

Step-by-step explanation:

△ RST ≅ △ TXY

We are given ΔRST and ΔTXY are congruent to each other.

If two triangles are congruent to each other then their corresponding parts are equal.

Please see the attachment of two triangles.

∠R is corresponding to ∠T

∵  ∠R=∠T By CPCT

∠XYT is corresponding to ∠STR

∵  ∠XYT=∠STR By CPCT

∠XTY is corresponding to ∠SRT.

∵  ∠XTY=∠SRT By CPCT

∠TXY is corresponding to ∠RST

∵  ∠TXY=∠RST By CPCT

CPCT: Congruent part of congruence triangle.

Shanice won 88 pieces of gum playing the bean bag toss at the county fair. At school she gave four to every student in her math class. She only has 8 remaining. How many students are in her class?

Equation:
Answer:
Steps to solve:

Answers

Equation: 88-8=80
80/4=20

Answer: there are 20 students in her class

Steps: Subtract what was remaining. Use the difference(80) and divide by how much she gave the students(4). After dividing the quotient would be 20 which is the amount of students in her class.

Answer:

20

Step-by-step explanation:

88 divided by 4 = 22, She gave 4 gums to each student, 8 divided by 4 = 2.

22 - 2 = 20

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