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3 years ago

Please someone help!!!

Mathematics

1 answer:

kari74 [83]3 years ago

6 0

Answer:

0.001189 x 10^7

Step-by-step explanation:

4.1 x 10^7 gallons of water

2,900 gallons of water = 2.9 x 10^3

Balance the 10th power with the first one.

2,900 = 0.00029 x 10^7

Multiply only the decimal number...

4.1 x 0.00029 = 0.001189

The answer is...

0.001189 x 10^7

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What is the value of n in the equation 3n + 2(n + 2) = 9n + 12? −4 −2 2 4

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Use a matrix to solve the system:

Romashka-Z-Leto [24]

Answer:

(2.83 , 1 , 4)

Step-by-step explanation:

$2x+2y-z=4\\4x-2y-2z=2\\3x+3y-4z=-4\\$

Rewrite these equations in matrix form

$\left[\begin{array}{ccc}2&2&-1\\4&-2&-2\\3&3&-4\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\$

we can write it like this,

$AX=B\\X=A^{-1}B$

so to solve it we need to take the inverse of the 3 x 3 matrix A then multiply it by B.

We get the inverse of matrix A,

$A^{-1}=\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right] \\$

now multiply the matrix with B

$X=A^{-1}B\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right]\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2.83\\1\\4\end{array}\right] \\$

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3 years ago

Please someone help!!!​

Please someone help!!!