The simplest form of the algebraic expression is x^-4y^-8/x^12y^-12 (Option B)
<h3>
What is simplification?</h3>
The term simplification is mathematics refers to the depiction of the expression in its lowest possible format. In the simplest form, the expression can not be simplified further.
Now we have the original expression as;
(xy^2/x^-3y^3)
The only possible step in the expansion is to open up the bracket by the laws of indices and we get;
x^-4y^-8/x^12y^-12 (Option B)
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The probability is likely but not impossible. there is a 4/5 chance she will not spend a four.
Answer:
Step-by-step explanation:
<u>Column Vector</u>
Vectors are matrices having only one column or one row. A vector having only one column is called a column vector, and a vector having only one row is called a row vector.
It's required to find the vector AB as a column vector, and we are given the coordinates of A=(6,4) and B=(2,7).
The vector directed from A to B is found by subtracting its corresponding coordinates:
Now we express the vector as a one-column matrix as follows:
Answer:
The correct option is;
C) 6554
Step-by-step explanation:
The given data are;
Day, Amount of change in Bacteria
1, 2
2, -8
3, 32
4, -128
Given that the data follows a geometric sequence, we have;
The first term of the series = 2, the common ratio = -4, the sum of a geometric progression is given by the following formula;
Which gives;
Therefore, the correct option is C) 6554.
Answer:
Step-by-step explanation:
2*x + 3 = 1/2x + 30 Subtract 3 from both sides
<u> - 3 -3</u>
2x = 1/2x + 27 Subtract 1/2 x from both sides
<u>1/2 x -1/2 x</u>
1 1/2 x = 27 change 1 1/2 to 3/2
3/2 x = 27 Multiply by 2/3
2/3 * 3/2x = 27 * 2/3
x = 18