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3 years ago

(2 x 10^2)(4 x 10^3)

Mathematics

2 answers:

yKpoI14uk [10]3 years ago

6 0

Answer:

800000x^2

Step-by-step explanation:

KIM [24]3 years ago

4 0

800,000
explanation

(2 x 100)(4 x 1000)
200 x 4000
800,000

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svlad2 [7]

Answer:

Is there an image?

Step-by-step explanation:

7 0

3 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

What is the force on a 1000 kg elevator that is falling freely at 9.8 m/sec2

deff fn [24]

Answer: The only force on it is its weight, w=9800N

Step-by-step explanation:

7 0

3 years ago

The table compares the prices of four types of fruit. Which fruit is the best to buy?

taurus [48]

Divide the price by the quantity:

Bananas = 5.40 / 6 = 0.90 each

Oranges = 2.56/8 = 0.32 each

Apples = 4.68 / 12 = 0.39 each

Mangos = 3.16 / 4 = 0.79 each

Oranges have the lowest price each so are the best buy.

4 0

3 years ago

Simplify: log81/8 + 2log2/3 - 3log 3/2 +log 3/4

MissTica

Answer:

Step-by-step explanation:

Using the laws of logarithms:

log81/8 + 2log2/3 - 3log 3/2 + log 3/4

= log 81/8 + log (2/3)^2 - log (3/2)^3 + log 3/4

= log 81/8 + log 4/9 - log 27/8 + log 3/4

= log 81/8 + log 4/9 - (log 27/8 - log 3/4)

= log (81/8 * 4/9) - log (27/8 * 4/3)

= log 9/2 - log 9/2

= 0.

5 0

3 years ago