Ask question

Ask question

All categories

2 years ago

10

The final task is a bit more difficult. The bookshelf consists of two cubes and each cube has a side of (1/2). This is a fractio

nal base, so the expression for both cubes looks like this: (1/2)^3 x 2. Calculate the volume of the bookshelf to complete your training!

1 answer:

hodyreva [135]2 years ago

6 0

Answer:

1/4

Step-by-step explanation:

I think that the expression is correct

(1/2)^3 x 2 = 1/8 x 2 = 1/4

You might be interested in

A computer tech charges a $30 initial fee to come and fix a household computer plus $15 per hour. Which of the following linear

saveliy_v [14]

Answer

45$

Step-by-step explanation:

if you only needs to be there for one hour it is for 45

if heis there for more hours then add 15 to the cost for every hou

3 0

3 years ago

find the spectral radius of A. Is this a convergent matrix? Justify your answer. Find the limit x=lim x^(k) of vector iteration

Natasha_Volkova [10]

Answer:

The solution to this question can be defined as follows:

Step-by-step explanation:

Please find the complete question in the attached file.

$A = \left[\begin{array}{ccc} \frac{3}{4}& \frac{1}{4}& \frac{1}{2}\\ 0 & \frac{1}{2}& 0\\ -\frac{1}{4}& -\frac{1}{4} & 0\end{array}\right]$

now for given values:

$\left[\begin{array}{ccc} \frac{3}{4} - \lambda & \frac{1}{4}& \frac{1}{2}\\ 0 & \frac{1}{2} - \lambda & 0\\ -\frac{1}{4}& -\frac{1}{4} & 0 -\lambda \end{array}\right]=0 \\\\$

$\to (\frac{3}{4} - \lambda ) [-\lambda (\frac{1}{2} - \lambda ) -0] - 0 - \frac{1}{4}[0- \frac{1}{2} (\frac{1}{2} - \lambda )] =0 \\\\\to (\frac{3}{4} - \lambda ) [(\frac{\lambda}{2} + \lambda^2 )] - \frac{1}{4}[\frac{\lambda}{2} - \frac{1}{4}] =0 \\\\\to (\frac{3}{8}\lambda + \frac{3}{4} \lambda^2 - \frac{\lambda^2}{2} - \lambda^3 - \frac{\lambda}{8} + \frac{1}{16}=0 \\\\\to (\lambda - \frac{1}{2}) (\lambda -\frac{1}{4}) (\lambda - \frac{1}{2}) =0\\\\$

$\to \lambda_1=\lambda_2 =\frac{1}{2}\\\\\to \lambda_3 = \frac{1}{4} \\\\\to A = max {|\lambda_1| , |\lambda_2|, |\lambda_3|}\\\\$

$= max{\frac{1}{2}, \frac{1}{2}, \frac{1}{4}}\\\\= \frac{1}{2}\\\\(A) =\frac{1}{2}$

In point b:

Its

spectral radius is less than 1 hence matrix is convergent.

In point c:

$\to c^{(k+1)} = A x^{k}+C \\\\\to x(0) = \left(\begin{array}{c}3&1&2\end{array}\right) , c = \left(\begin{array}{c}2&2&4\end{array}\right)\\\\ \to x^{(k+1)} = \left[\begin{array}{ccc} \frac{3}{4}& \frac{1}{4}& \frac{1}{2}\\ 0 & \frac{1}{2}& 0\\ -\frac{1}{4}& -\frac{1}{4} & 0\end{array}\right] x^k + \left[\begin{array}{c}2&2&4\end{array}\right] \\\\$

after solving the value the answer is

:

$\lim_{k \to \infty} x^k=o = \left[\begin{array}{c}0&0&0\end{array}\right]$

4 0

2 years ago

Seating 7 students in a row in a classroom

mr Goodwill [35]

Answer:

cool beans :) is there more to the question? or that's it?

Step-by-step explanation:

hope you are having a spectacular day!!

3 0

2 years ago

Read 2 more answers

In a game that lasts exactly 50 mins,there are 12players and 8 reserves who alternate equally with each player.If they're on the

pentagon [3]

Answer:

The answer to the question is

30 minutes

Step-by-step explanation:

To solve the question we recall the following

Duration of game = 50 minutes

Number of players per game = 12

Number of reserves = 8

Total number of players = 8 + 12 = 20

Therefore 12 players play for 50 minutes

Therefore 20 players will play for $\frac{12}{20} *50$ minutes each or 30 minutes each

Each player will have a thirty minutes turn to play on the fleld

4 0

2 years ago

Select the correct answers in the table.

Sergio039 [100]

Answer:

see below

Step-by-step explanation:

To find miles per hour, divide miles by hours:

(5 2/3 mi)/(2 2/3 h) = (17/3 mi)/(8/3 h) = (17/8) mi/h = 2 1/8 mi/h

Hours per mile is the reciprocal of that:

1/(17/8 mi/h) = 8/17 h/mi

7 0

2 years ago