We are to select 2 people to sit in first row from 6.
This is a problem of Combinations. We are find permutation of 6 people taken 2 at a time. This can be represented as 6C2.
So, the answer is option B
Yes, -9 can be written as a fraction over 1, meaning it is a rational number
Answer:
only a stop since no buildings would exist for ten years. ... the present day Anna, Highland and Mantua, were bypassed by the railroad ... Today, Anna finds itself as a small, stable, attractive community offering a small ...
When we Simplify [(x^2)^3 × 5x] / [6x^2 × 15x^3], the result obtained is (1/18)x^2
<h3>Data obtained from the question</h3>
- [(x^2)^3 × 5x] / [6x^2 × 15x^3]
- Simplification =?
<h3>How to simplify [(x^2)^3 × 5x] / [6x^2 × 15x^3]</h3>
[(x^2)^3 × 5x] / [6x^2 × 15x^3]
Recall
(M^a)^b = M^ab
Thus,
(x^2)^3 = x^6
- [(x^2)^3 × 5x] / [6x^2 × 15x^3] = [x^6 × 5x] / [6x^2 × 15x^3]
Recall
M^a × M^b = M^(a+b)
Thus,
x^6 × 5x = 5x^(6 + 1) = 5x^7
6x^2 × 15x^3] = (6×15)x^(2 + 3) = 90x^5
- [x^6 × 5x] / [6x^2 × 15x^3] = 5x^7 / 90x^5
Recall
M^a ÷ M^b = M^(a - b)
Thus,
5x^7 ÷ 90x^5 = (5÷90)x^(7 - 5) = (1/18)x^2
Therefore,
- [(x^2)^3 × 5x] / [6x^2 × 15x^3] = (1/18)x^2
Learn more about algebra:
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<h3>
Answer: A) 20+10h</h3>
Work Shown:
It grows 2h inches for 4 weeks, so 2h*4 = 2*4h = 8h is the amount it grows for those 4 weeks.
Then it grows h inches per week, for 2 more weeks, giving h+h = 2h additional inches.
Overall, 8h+2h = 10h is the amount the plant grows.
It starts off at 20 inches so its final height is 20+10h
