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3 years ago

7

scott has a travel book on each of four Hawaiian: Maui, Kauai, Hawaii, and Oahu. In how many different ways can these four books

be arranged on a shelf?

2 answers:

Eddi Din [679]3 years ago

8 0

Alphabetical
By number of population
By crime rate

inysia [295]3 years ago

7 0

16 ways

Each book can be put in 4 different ways.

4 x 4 = 16

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For the system of equations that follows, use Gaussian elimination to obtain an equivalent system whose coefficient matrix is in

Rainbow [258]

Answer:

$\begin{Vmatrix}1 & 0 & 0& 46/41 &180/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}$

Step-by-step explanation:

From the question we are told that

System of equations given as

x₁ + 3x₂ + x₃ + x₄ = 3;

2x₁ - 2x₂ + x₃ + 2x₄ = 8;

x₁ - 5x₂ + x₄ = 5

Matrix form

$\begin{Vmatrix}1 & 3 & 1&1&3\\2 & -2 & 1&2&8\\0&1 & -5 & 1& 5\end{Vmatrix}$ $\begin{Vmatrix}x_1\\x_2\\x_3\\x_4\end{Vmatrix}$

Generally the echelon reduction is mathematically applied as

$\begin{Vmatrix}1 & 3 & 1&1&3\\2 & -2 & 1&2&8\\0&1 & -5 & 1& 5\end{Vmatrix}$

Add -2 times the 1st row to the 2nd row

$\begin{Vmatrix}1 & 3 & 1&1&3\\0 & -8 & -1&0&2\\0&1 & -5 & 1& 5\end{Vmatrix}$

Multiply the 2nd row by -1/8

$\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&1 & -5 & 1& 5\end{Vmatrix}$

Add -1 times the 2nd row to the 3rd row

$\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&0 & -41/8 & 1& 21/4\end{Vmatrix}$

Multiply the 3rd row by -8/41

$\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}$

Add -1/8 times the 3rd row to the 2nd row

Add -1 times the 3rd row to the 1st row

$\begin{Vmatrix}1 & 3 & 0&49/41&165/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}$

Add -3 times the 2nd row to the 1st row

$\begin{Vmatrix}1 & 0 & 0& 46/41 &180/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}$

3 0

2 years ago

There are 134 Girl Scouts going camping each cabin can hold 8 girls. How many cabins will they need for all the Girl Scouts? Sho

anyanavicka [17]

134 divided by 8 = 16.75, round it to nearest number
they would need 17 cabins

6 0

3 years ago

2y+4x=8 when x=-2,1,3

kondor19780726 [428]

4x + 2y = 8

When x = -2:    4x + 2y = 8
4(-2) + 2y = 8
-8 + 2y = 8
      + 8    + 8
   2y = 16
      2    2
   y = 8
       (x, y) = (-2, 8)

When x = 1:   4x + 2y = 8
      4(1) + 2y = 8
      4 + 2y = 8
      - 4 - 4
      2y = 4
   2    2
      y = 2
      (x, y) = (1, 2)

When x = 3: 4x + 2y = 8
   4(3) + 2y = 8
   12 + 2y = 8
   - 12 - 12
   2y = -4
      2 2
   y = -2
      (x, y) = (3, -2)

5 0

3 years ago

ASAP- please help!!!!!!

evablogger [386]

Are you at school still? Or do you take online school notes

6 0

3 years ago

Read 2 more answers

A regular pentagon is centered about the origin and has a vertex at (0,5).

Irina-Kira [14]

Answer:

I'm pretty sure its A

Step-by-step explanation:

4 0

2 years ago