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3 years ago

Solve each equation for m. Then find the value of m for each value of n.

Mathematics

1 answer:

Misha Larkins [42]3 years ago

5 0

If n = –2, then m is equal to 13;

If n = 0, then m is equal to 7;

If n = 1, then m is equal to 4

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There are 3.76 x 10 to the power of 22 atoms in 1 gram of oxygen. How many atoms are there in 600 grams of oxygen? Write your an

tatiyna

Answer:

<u>2.256 x 10 to the power of 25</u>

Step-by-step explanation:

There are 3.76 x 10 to the power of 22 atoms in 1 gram of oxygen

So, there are x atoms in 600 grams of oxygen

Using the ratio and proportional

So, the number of atoms = 600 * 3.76 x 10 to the power of 22 =

$= 6*10^2 * 3.76 * 10^{22}\\=6*3.76 * 10^2*10^{22}\\=22.56 * 10^{24}\\=2.256 * 10 * 10^{24}\\=2.256 * 10^{25}$

So, the answer in scientific notation as A.BCD x 10 to the power of E

Will be <u>2.256 x 10 to the power of 25</u>

3 0

2 years ago

[10] In the following given system, determine a matrix A and vector b so that the system can be represented as a matrix equation

irina1246 [14]

Answer:

$y=-\frac{158}{579}$

Step-by-step explanation:

To find the matrix A, took all the numeric coefficient of the variables, the first column is for x, the second column for y, the third column for z and the last column for w:

$A=\left[\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right]$

And the vector B is formed with the solution of each equation of the system: $b=\left[\begin{array}{c}3\\-3\\6\\1\end{array}\right]$

To apply the Cramer's rule, take the matrix A and replace the column assigned to the variable that you need to solve with the vector b, in this case, that would be the second column. This new matrix is going to be called $A_{2}$ .

$A_{2}=\left[\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right]$

The value of y using Cramer's rule is:

$y=\frac{det(A_{2}) }{det(A)}$

Find the value of the determinant of each matrix, and divide:

$y==\frac{\left|\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right|}{\left|\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right|} =\frac{158}{-579}$

$y=-\frac{158}{579}$

7 0

3 years ago

Sixteen students in a drama club want to attend a play. The tickect price is $ 35 for each student, and the transportation and m

guajiro [1.7K]

Because there is no cost for the sweatshirts, there is no way to solve this for the amount of sweatshirts needed. However, the amount of money each student needs to make off of them is $95.

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2 years ago

2 trig ratios missing sides and angels

ivanzaharov [21]

Answer:

Step-by-step explanation:

Using the cosine ratio in the right triangle.

cos66° = $\frac{adjacent}{hypotenuse}$ = $\frac{13}{x}$ ( multiply both sides by x )