Answer:
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Step-by-step explanation:
Answer:
1. 1/2
2. 3/10
3. 11/20
4. 3/4
5. 4/5
6. 19/25
7. 6/25
8. 17/25
9. 11/25
10. 85%
11. 90%
12. 10%
13. 95%
14. 72%
15. 21%
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Answer: x° = 20
Steps:
100 + x + 3x = 180
x + 3x = 80
4x = 80
x = 80/4
x = 20
Check:
100 + x + 3x = 180
100 + 20 + 3(20) = 180
100 + 20 + 60 = 180
180 = 180 ✅
For this case we have the following function:
<span>w (x) = - 5 (x-8) (x + 4)
</span><span>Rewriting we have:
</span><span>w (x) = - 5 (x ^ 2 + 4x - 8x - 32)
</span><span>w (x) = - 5x ^ 2 - 20x + 40x + 160
</span><span>w (x) = - 5x ^ 2 + 20x + 160
</span><span>Then, deriving we have:
</span><span>w '(x) = - 10x + 20
</span><span>We equal zero and clear x:
</span><span>0 = -10x + 20
</span><span>10x = 20
</span><span>x = 20/10
</span><span>x = 2 seconds
</span><span>Substituting values:
</span><span>w (2) = - 5 (2-8) (2 + 4)
</span><span>w (2) = - 5 (-6) (6)
</span><span>w (2) = 180 meters
</span>Answer:
The maximum height that the stone will reach is:
w (2) = 180 meters
Answer:

Step-by-step explanation:
Simply plug in 10 for <em>n</em>
9(1/3)¹⁰⁻¹
9(1/3)⁹
9(1/19683)
9/19683
