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3 years ago

In how many different ways can the letters of the word mathematics be arranged?

2 answers:

4 0

Treat the vowels like they are 1 block, as if they are one letter. But in this vowel block there are 4 vowels, 2 of which are the same. The number of ways of arranging these 4 vowels is then 4!2!4!2!.

Now, treating this block aa one letter, we have 7 consonants and 1 block, so there are 8 'letters' to arrange with two M's and two T's. So we have to divide out by 2! for each. So we get: 8!2!2!8!2!2!.

Finally we multiply this by the number of ways the vowels can be arranged to get:

4!2!8!2!2!

qwelly [4]3 years ago

4 0

2 i believe would be the answer

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Verdich [7]

Answer:

The height of the given rectangular prism is 5cm.

Step-by-step explanation:

Given that the volume of the rectangular prism is $5cm^3$

And length is $\frac{3}{4}$ and width is $1\frac{1}{3}$

That is V=5cm^3[/tex] , $l=\frac{3}{4}cm$ and $w=1\frac{1}{3}cm$

We have the volume of the rectangular prism V=lwh cubic centimeter

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Substituting the values in above formula

$5=\frac{3}{4}\times 1\frac{1}{3}\times h$

$5=\frac{3}{4}\times \frac{4}{3}\times h$

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Rewritting as below

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3 years ago

Read 2 more answers

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UNO [17]

9514 1404 393

Answer:

A. 3×3

B. [0, 1, 5]

C. (rows, columns) = (# equations, # variables) for matrix A; vector x remains unchanged; vector b has a row for each equation.

Step-by-step explanation:

A. The matrix A has a row for each equation and a column for each variable. The entries in each column of a given row are the coefficients of the corresponding variable in the equation the row represents. If the variable is missing, its coefficient is zero.

This system of equations has 3 equations in 3 variables, so matrix A has dimensions ...

A dimensions = (rows, columns) = (# equations, # variables) = (3, 3)

Matrix A is 3×3.

B. The second row of A represents the second equation:

$0x_1+1x_2+5x_3=-1$

The coefficients of the variables are 0, 1, 5. These are the entries in row 2 of matrix A.

C. As stated in part A, the size of matrix A will match the number of equations and variables in the system. If the number of variables remains the same, the number of rows of A (and b) will reflect the number of equations. (The number of columns of A (and rows of x) will reflect the number of variables.)

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2 years ago

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alina1380 [7]

Answer:

11. 67.103

12. 7.25

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16. 72.2

hope that helps

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2 years ago

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bija089 [108]

Answer

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