Two glass containers are shown. Both are right rectangular prisms. Container 1 is filled with water and Container 2 is empty.

Mathematics

1 answer:

dmitriy555 [2]3 years ago

6 0

9514 1404 393

Answer:

18 in

Step-by-step explanation:

The volume of each container is the product of its dimensions:

V = LWH

We can let h represent the unknown height of Container 2. The volumes are equal when ...

32·18·12 = 24·16·h

(32·12·18)/(16·24) = h =18 . . . . . divide by the coefficient of h, simplify

The missing height of Container 2 is 18 inches.

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Guy's y'all plzz answer this who knows about it...and also exam is near

Yanka [14]

Answer:

Step-by-step explanation:

Okay so I will explain the first one.

2 to the power of 4 = 2x2x2x2

2 to the power of 6 = 2x2x2x2x2x2

2 to the power of 4 = 2x2x2x2

2^4 = 16

2^6 = 64

When you are multiplying powers you add.

When you subtract you takeaway.

So you would do

4+6+4

= 14

Meaning 2 to the power of 14

2 $x^{14}$

So what is 2 to the power of 14.

You would do

2x2x2x2x2x2x2x2x2x2x2x2x2x2

The answer is 16384

You can also use a calculator

GOOD LUCK FOR YOUR TEST!

7 0

3 years ago

Answer the question with explanation;

PSYCHO15rus [73]

Answer:

The statement in the question is wrong. The series actually diverges.

Step-by-step explanation:

We compute

$\lim_{n\to\infty}\frac{n^2}{(n+1)^2}=\lim_{n\to\infty}\left(\frac{n^2}{n^2+2n+1}\cdot\frac{1/n^2}{1/n^2}\right)=\lim_{n\to\infty}\frac1{1+2/n+1/n^2}=\frac1{1+0+0}=1\ne0$

Therefore, by the series divergence test, the series $\sum_{n=1}^\infty\frac{n^2}{(n+1)^2}$ diverges.

EDIT: To VectorFundament120, if $(x_n)_{n\in\mathbb N}$ is a sequence, both $\lim x_n$ and $\lim_{n\to\infty}x_n$ are common notation for its limit. The former is not wrong but I have switched to the latter if that helps.