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shiahdiah
23.03.2020 •
Mathematics
The first figure of the Sierpinski triangle has one shaded triangle. The second figure of the Sierpinski triangle has three shaded triangles. The third figure of the Sierpinski triangle has nine shaded triangles. Which summation represents the total number of shaded triangles in the first 15 figures?
A-Sigma-Summation Underscript n = 1 Overscript 15 EndScripts 1 (3) Superscript n minus 1
B-Sigma-Summation Underscript n = 1 Overscript 15 EndScripts 3 (1) Superscript n minus 1
C-Sigma-Summation Underscript n = 1 Overscript 15 EndScripts 1 (one-third) Superscript n minus 1
D-Sigma-Summation Underscript n = 1 Overscript 15 EndScripts one-third (1) Superscript n minus 1
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Ответ:
1) D
2) C
Step-by-step explanation:
1. The blue algae has an initial mass of 20 kg and doubles its mass every hour. Then after t hours, the mass of blue algae is
2. The green algae has an initial mass of 160 kg and grows at a constant rate of 0.20 kg per minute. Then after t hours (60t minutes), the mass of green algae is
Part I) At t=3:
The mass of green algae has 196-160=36 kg more mass at 3 hours.
Part II) At t=4:
The blue algae has 320-208=112 kg more mass at 4 hours.