What is the volume of a rectangular prism whose length is 2x+1 units, width is x-2 units, and whose height is 3x units?

6x^3-9x^2-6x cubic units

6x^2-9x-6 square units

6x^3-9x^2+6x cubic units

6x^3-15x^2+6x cubic units

Answers

Answer 1

Answer:

V = 6x^3 - 9x^2 - 6x (which matches the third answer choice)

Step-by-step explanation:

The volume of a rectangular prism of length L, depth W and height H is

V = L * W * H.

Thus,

in this case,

V = (2x + 1)(x - 2)(3x).

The order in which we multiply these quantities together is immaterial.

Working from left to right, we get:

V = (2x^2 - 3x - 2)(3x), and then:

V = 6x^3 - 9x^2 - 6x (which matches the third answer choice)


Related Questions

Find the area of the circle. Use 3.14 for .
20 yd

Answers

ANSWER:
314 yd^2

Explanation:
Use the formula for the area of the circle. Since the diameter is 20, the radius is 20/2=10

Answer:

314 yd²

Step-by-step explanation:

A = πr²

 Use the formula.

A = π(10)²

 Substitute. Use 10 for r.

A ≈ 3.14 × 10²

 Substitute. Use 3.14 for π.

A ≈ 3.14 × 100 Evaluate the power.

A ≈ 314 Multiply.

The area of the circle is about 314 yd².

Write answer in simplest form

Answers

a^2 + b^2 = c^2
6^2 + 6^2 = c^2
36 + 36 = c^2
72 = c^2
8.5 = c

Solve the question below

Answers

Answer:

name as AB =CD

angle A=angle D

BC=BC

hence angle ABC is congruent to angle BCD

(by sas congruency)

hence proved

Find the value of x.

Answers

Answer:

x = 45°

Step-by-step explanation:

The triangle is 45°-45°-90°. Both x values will be 45°!

Good luck to you!

This week, Nick's puppy weighs 6 kilograms. Last week, the puppy weighed 4.5 kilograms. How much mass, in grams, did the puppy gain?

Answers

1500 grams

1kg = 1000g

Answer:1500 grams

Step-by-step explanation:


The atmospheric pressure p on a balloon or an aircraft decreases with increasing height. This pressure, measured in milimeters of mercury, is related to the heighth (in kilometers) above sea level by the formula p = 760 -0.145
(a) Find the height of an aircraft if the atmospheric pressure is 246 millimeters of mercury

Answers

Answer:

[tex]h = 3544.83km[/tex]

Step-by-step explanation:

Given

[tex]P= 760 - 0.145h[/tex]

Required

Find h when P = 246

Substitute 246 for P

[tex]246= 760 - 0.145h[/tex]

Collect like terms

[tex]246- 760 = - 0.145h[/tex]

[tex]-514= - 0.145h[/tex]

Make h the subject

[tex]h = \frac{-514}{-0.145}[/tex]

[tex]h = 3544.83km[/tex]

Reflection over y=1
Help please

Answers

Answer:

reflect over what axis y or x?

Find the area of the figure.
The area is
square units.

Answers

Answer:

36 square units

Step-by-step explanation:

split the figure so that it's a triangle and a rectangle. Find the area of the rectangle (base x height or 6 x 4), which is 24 square units. Then, find the area of the triangle ((base x height)/2 or (6 x 4)/2), which would be 12 units. Then add those units up (24 + 12) and you get 36.

There is 1/4 of a birthday cake left over. If 4 friends share it equally, what fraction of the cake will each friend receive? ( test please hurry!)

Answers

Answer:

The awnser is 1/16!!!!!!!!!!!!!

If a value of a car worth 50000 is deprecating half yearly at 10 percent pa the correct expression to express its value after 2 years is?

Answers

Answer:

50,000 x 0.90 ^ 4 = X

Step-by-step explanation:

Since the value of a car worth $ 50,000 is deprecating half yearly at 10 percent, the correct expression to express its value after 2 years is determined through the following calculation:

50,000 x 0.90 ^ 4 = X

32.805 = X

Thus, after 2 years with a semi-annual depreciation of 10%, the car will be worth $ 32,805.

According to exponent rules, when we divide the expressions we _______ the exponents.

Multiply

Subtract

Divide

Add

Answers

Subtract :) Hope this helps

PLEASEEEE HELP ON ANY QUESTION
I WILL GIVE U THE REALLY GOOD REVIEW

Answers

Answer:

C. 3 to 18, 5 to 30 is equal

Step-by-step explanation:

I don’t know I think u times both of them 40 and 36 then divide by 4 then times by 2 i don’t know

Answers

What is the question?

An octagonal prism has two octagonal faces.

True or false?

Answers

Answer:

true it has six sides and two faces

Factor
x^3+8x^2+11x-20

Answers

Answer:

it would be: (x-1)(x+4)(x+5)

Step-by-step explanation:

to solve factor the polynomial using the rational roots theorem.

what is the answer of this:
689 × 6156 ÷ 18% of 684 = 28 × 250 ÷ 8 + ? + 4300
A)27295
B)29275
C)29527
D)29725
E)None of these

Answers

Answer:

1606588.92

Step-by-step explanation:

Please help I’m going to fail

Answers

Answer:

d

Step-by-step explanation:

The answer to your question is D

What is the answer I need to know

Answers

Answer:

D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

.

What is the ordered pair of the midpoint of a segment with endpoints at (3, 10) and (7,
20)?

Answers

Answer:

to find midpoint =(x1+x2/2,y1+y2/2)

(3,10) ,(7,20)

x1 ,y1. x2,y2

=P(x,y)=(3+7/2,10+20/2)=(5,15)

midpoint of a segment =(5,15)

Write the equation

Please help!

Answers

Answer:

y=3x-8

Step-by-step explanation:

Y=3x-8 for your equation


I need help please it’s due tomorrow

Answers

Answer:

<E(it is obtuse), <C, <D

The angle opposite to the longer side is greater than the angle opposite to the shorter side

^^for the second one use the same logic <C, <B, <A

Given the following prices and unit conversions, rank the brands from lowest to highest unit price.
Brand A: $1.48 for 2.5 pounds
Brand B: $1.30 for 907.18 grams; 1 pound is approximately 453.59 grams
Brand C: $1.55 for 50 ounces; 1 pound is equal to 16 ounces
a.
Brand A, Brand B, Brand C
b.
Brand A, Brand C, Brand B
c.
Brand B, Brand A, Brand C
d.
Brand C, Brand A, Brand B

Answers

Answer:

d.

Brand C, Brand A, Brand B

Step-by-step explanation:

To find the unit price, we divide the price by the number of pounds.

Brand A: $1.48 for 2.5 pounds

Unit price of:

[tex]\frac{1.48}{2.5} = 0.592[/tex]

Brand B: $1.30 for 907.18 grams; 1 pound is approximately 453.59 grams

907.18/453.59 = 2 pounds

Unit price of:

[tex]\frac{1.3}{2} = 0.65[/tex]

Brand C: $1.55 for 50 ounces; 1 pound is equal to 16 ounces

50/16 = 3.125 pounds

Unit price of:

[tex]\frac{1.55}{3.125} = 0.496[/tex]

From lowest to highest unit price:

C, A and B, so option d.

Answer:

D

Step-by-step explanation:

Unit prices are ratios, so you can add the two prices together and divide by the smaller unit price to get a usable number.

What is the midpoint of (1, 8) (9, 6)

Answers

Answer:

(5,7)

Step-by-step explanation:

x = 1 + 9 / 2 = 5 and y = 8 + 6 / 2 = 7

So the coordinate is (5,7)

50 points decreased by 26% is __________ points.

Answers

37% I believe.

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

Did i get this right?
Am trying to find the area​

Answers

Answer:

Yea If im correct then you are

Step-by-step explanation:

Pls help me pls i will mark brainliest

Answers

Answer:

The line cannot be extended to any point since we are trying to graph a zero that is equivalent to absolutely nothing

Step-by-step explanation:

choose as brainliest

what is a formula for the nth term of the given sequence?

12,6,3...

Answers

Given:

The sequence is:

12, 6, 3, ...

To find:

The formula for the nth term of the given sequence.

Solution:

We have,

12, 6, 3, ...

Here, first term is 12.

Clearly, [tex]\dfrac{6}{12}=\dfrac{3}{6}[/tex]. Since the given sequence has a common ratio [tex]r=dfrac{1}{2}[/tex], therefore it is a geometric sequence.

The formula for the nth term of the given sequence is:

[tex]a_n=ar^{n-1}[/tex]

Where, a is the first term and r is the common ratio.

[tex]a_n=12\left(\dfrac{1}{2}\right)^{n-1}[/tex]

Therefore, the formula for the nth term of the given sequence is [tex]a_n=12\left(\dfrac{1}{2}\right)^{n-1}[/tex].

Answer:

Step-by-step explanation:

Yuk noticed that out of 24 students entering the building at Willowville Elementary School this morning, 8 of them were carrying a lunch box. If these students are representative of the entire school, how many of the Willowville's 84 students would you expect to have brought a lunch box?

Answers

Answer:

the students that brought a lunch box is 28

Step-by-step explanation:

The computation of the students that brought a lunch box is shown below:

= Entire school students × students that carry a lunch box ÷ entering students

= 84 students × 8 ÷ 24 students

= 28 students

Hence, the students that brought a lunch box is 28

can someone help meeeeeeeee

Answers

Answer: yw

1 4/5

Step-by-step explanation:

The measure of a smaller angle =


find a =

find c =

Answers

A= 48
C= 132

Hope it’s right
Best luck with your studying
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