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3 years ago

What is the answer to this too?

Mathematics

1 answer:

inn [45]3 years ago

7 0

Answer:

0.3453 grams

Step-by-step explanation:

to find the amount of days in 6 weeks, you multiply 6 and 7 which will get you 42. Then 42/4 is 10.5. This means it will go through 10 full half-lifes. you divide 500 by 2 10 times and 0.3453 g is the closest answer.

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Can you tell me how to calculate R for below Matrix ?

scoray [572]

Answer:

The rank of the matrix is 3.

Step-by-step explanation:

Consider the prided information.

$x=\begin{bmatrix}x_1\\ x_2\\ x_3\end{bmatrix}=\begin{bmatrix}9&2&6&5&8\\ 12&8&6&4&10\\ 3&4&0&2&1\end{bmatrix}$

Reduce the matrix in row echelon form as shown:

$R_1\:\leftrightarrow \:R_2\begin{bmatrix}12&8&6&4&10\\ 9&2&6&5&8\\ 3&4&0&2&1\end{bmatrix}\\$

$R_2\:\leftarrow \:R_2-\frac{3}{4}\cdot \:R_1\ and\ R_3\:\leftarrow \:R_3-\frac{1}{4}\cdot \:R_1\\\\\begin{bmatrix}12&8&6&4&10\\ 0&-4&\frac{3}{2}&2&\frac{1}{2}\\ 0&2&-\frac{3}{2}&1&-\frac{3}{2}\end{bmatrix}$

$R_3\:\leftarrow \:R_3+\frac{1}{2}\cdot \:R_2\\\begin{bmatrix}12&8&6&4&10\\ 0&-4&\frac{3}{2}&2&\frac{1}{2}\\ 0&0&-\frac{3}{4}&2&-\frac{5}{4}\end{bmatrix}$

$R_2\:\leftarrow \:R_2-\frac{3}{2}\cdot \:R_3\ and\ R_1\:\leftarrow \:R_1-6\cdot \:R_3\\\begin{bmatrix}12&8&0&20&0\\ 0&-4&0&6&-2\\ 0&0&1&-\frac{8}{3}&\frac{5}{3}\end{bmatrix}\\R_2\:\leftarrow \:-\frac{1}{4}\cdot \:R_2\ , \ R_1\:\leftarrow \:R_1-8\cdot \:R_2\ and\ \:R_1\:\leftarrow \frac{1}{12}\cdot \:R_1\\\begin{bmatrix}1&0&0&\frac{8}{3}&-\frac{1}{3}\\ 0&1&0&-\frac{3}{2}&\frac{1}{2}\\ 0&0&1&-\frac{8}{3}&\frac{5}{3}\end{bmatrix}$

The rank of a matrix is the number of non zeros rows.

Thus, the rank of the matrix is 3.

6 0

3 years ago

What’s the midpoint between points (-2,5) and (6,-9)

xxMikexx [17]

So, M=((−2)+(6)/2,(5)+(−9)/2=(2,−2)

Answer: M=(2,−2)

7 0

3 years ago

True or false :

Talja [164]

1. True
2. true
3. True

3 0

4 years ago

Read 2 more answers

(8 + 4 X 3) x 6 32 – 2 x3

kaheart [24]

Answer:

120 and 26

Step-by-step explanation:

( 8 + 4 * 3 ) * 6

Using BODMAS rule,

[ 8 + ( 4 * 3 ) ] * 6

= ( 8 + 12 ) * 6

= 20 *6

= 120

32 – 2 x 3

Using BODMAS rule,

32 - ( 2 * 3 )

= 32 - 6

= 26

Hope this answer was helpful!!

Regards..

4 0

3 years ago

Read 2 more answers

Is 7 x 3/5 the same as 4 x 1/5

VashaNatasha [74]

No 7x3/5 is 4.2 and 4x1/5 is 0.8

5 0

3 years ago