MATHEMATICS MIDDLE SCHOOL

Kevin made a rectangular prism with 8 cubes in each layer. The prism had 4 layers. What is the volume of the rectangular prism?

Answers

Answer 1
Answer: 256 units³ is the volume, since the length is 8 and the height is 4, you use the formula V=Bh and B is 64, so you simply multiply it by 4, the height

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Start at 12 create a pattern that multiplies each number by 4

Answers

So,

Basically, you're asking us to start a pattern with 12 and multiply it for every subsequent term.
12, 12 * 4, 12 * 4^2, 12 * 4^3, ...
12, 48, 192, 384, ...

So the geometric sequence will look like this:

12 * 4^(n-1)

A geometric sequence is a sequence where the next terms are found by performing multiplication or division.  In this case, we are multiplying by 4.  This is opposed to an arithmetic sequence, where we are adding or subtracting.

To show that this geometric sequence works, let's try to find a few terms.  To find the nth term, you just have to plug in the number of the term into the expression for n.

For instance, find the first term.  This is the resulting expression:
12*4^(1-1)=12*4^0=12*1=12

Let's try a few more terms.  The 2nd term:
12 * 4^(2-1) = 12*4^1=12*4=48

The 3rd term:
12 * 4^(3-1) = 12*4^2=12*16=192

And that's how the geometric sequence works.

How are perpendicular lines similar to intersecting lines?how are they differrent ?

Answers

Perpendicular lines are connected, and form two 90º angles. Although they connect, they do not necessarily have to "cross over" each other. Intersecting lines, on the other hand, must cross over each other to form 4 angles. Note that the angles between intersecting lines do not have to be 90º.
Think of perpendicular lines like a Upper case T
Think of intersecting likes like an addition sign: +

Similarities: Both sets of lines create angles, and in both sets the two lines are connected in some way
Differences: Perpendicular lines ALWAYS form 90º angles, but intersecting lines don't have to. 

Hope this helps!
well perpendicular lines intersect but make a right angle but intersecting lines don't hope that helps

What is 10n + 2n +9 I don't know that help me

Answers

Answer:

12n+9

Step-by-step explanation:

-Add 10n + 2n (Combine Like Terms)

= 12n

After that, , if there are no other changes to the "9", add it with 12n.

= 12n + 9

Answer: 12n+9

Step-by-step explanation:

Add 10n and 2n.

Combine Like Terms... Like Terms = 10n and 2n.

Leave your 9 alone because there is nothing you can do to it. Add 10n and 2n together to get 12n.

That will give you your answer as 12n+9.

Hope this helps you out! Good luck! ☺

-Leif Jonsi-

Find the value of the following expression: (2^8 • 3^-5 • 6^0)^-2 • (3^-2 over 2^3)^4 • 2^28 write your answer in simplified form. Show all of your steps. Pls help me

Answers

Put it in the calculator

Multiply: ( sqrt 2x^3 + sqrt12x) (2*sqrt 10x^5 + sqrt 6x^2)

Answers

Answer:

c is the answer

Step-by-step explanation:

i just did it

Answer:

C

Step-by-step explanatI AM THE EDGENUTITTY GOD

I Need Help PLease!Ashton estimates the square root of 72 in the following way:
√72=
2√36=
2×6=12
Explain why his reasoning is incorrect.
Estimate the square root of 72 to the nearest tenth without using your calculator. Show your work.
Answer:

Answers

Answer:

\sqrt {72} = 6\sqrt 2

Step-by-step explanation:

Ashton estimates the square root of 72 in the following way:

√72=

2√36=

2×6=12

a) Explain why his reasoning is incorrect

This is incorrect because \sqrt2 * 6 is the correct answer but he has missed the square root term on 2.

=\sqrt {2^2X2X3^2 }

=\sqrt {2^2} \sqrt 2 \sqrt {3^2 }

=2 X \sqrt 2 X 3

= \sqrt 2 X 6

or can be written as:

= 6\sqrt 2

b) Estimate the square root of 72 to the nearest tenth without using your calculator. Show your work.

Find the factors of 72 we get \sqrt {2X2X2X3X3 }  

Now, we will combine 2 terms if the are same so,

=\sqrt {2^2X2X3^2 }

=\sqrt {2^2} \sqrt 2 \sqrt {3^2 }

=2 X \sqrt 2 X 3

= \sqrt 2 X 6

= 6\sqrt 2

\sqrt {72} = 6\sqrt 2
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