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Llana [10]
3 years ago
8

Simplify the expression - 1/2(5/6+1/3)

Mathematics
1 answer:
mel-nik [20]3 years ago
8 0

Answer:

- 7/12

Step-by-step explanation:

- 1/2 ( 5/6 + 1/3 )

- 1/2 ( 5/6 + 2/6)

- 1/2 ( 7/6 )

- 7/12 or - 0.58

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Answer: Reflection across the y axis.

Clockwise rotation

Step-by-step explanation:

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Describe and correct the error in finding the tenth term of the arithmetic sequence 4, 12, 20, 28.
ycow [4]

Answer: The tenth term is 76

=======================================================

Explanation:

We use this arithmetic sequence formula to get the nth term

a_n = a_1 + d(n-1)

Plug in a_1 = 4, \ d = 8, \ n = 10 and you should get the following:

a_n = a_1 + d(n-1)\\\\a_{10} = 4 + 8(10-1)\\\\a_{10} = 4 + 8(9)\\\\a_{10} = \textbf{76}\\\\

The tenth term is <u>76</u>

---------

We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.

\begin{array}{c|c}\boldsymbol{n} & \boldsymbol{a_n}\\1 & 4\\2 & 12\\3 & 20\\4 & 28\\5 & 36\\6 & 44\\7 & 52\\8 & 60\\9 & 68\\10 & \textbf{76}\\\end{array}

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In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in a_n = a_1 + d(n-1) which shifts everything one spot to the left.

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2 years ago
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Lelechka [254]

Answer:

<h2><em><u>11.2 - B to C</u></em></h2><h2><em><u>12 - B to A</u></em></h2><h2><em><u>8.8 - A to C</u></em></h2>

You have to multiply all the sides by 4.

B to C = 2.8*4

2.8 * 4 = 11.2

B to A = 3*4

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A to C = 2.2*4

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Hope this helped!

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4 years ago
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GuDViN [60]

Answer:

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Step-by-step explanation:

The given Equations are:

3x-2y=-2,

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Which can be written as:

\left[\begin{array}{ccc}3&-2&2\\7&3&-26\\-1&-11&46\end{array}\right]

Thus, it is a matrix with 3 number of rows and 3 number of columns, therefore the matrix which has same number of rows and columns is a square matrix, thus, a square matrix can be form using the given system of linear equations.

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Isolate the variable by dividing each side by factors that don't contain the variable.

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