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Mice21 [21]
3 years ago
15

Determine the number of subsets of 3,4,5,6,7,8,9,10,11,12,13,14,15

Mathematics
1 answer:
lbvjy [14]3 years ago
3 0

Answer:

  8192

Step-by-step explanation:

The number of subsets of an n-element set is 2^n.

Your set has 13 elements, so has 2^13 = 8192 subsets.

__

This count includes the empty set and the full set.

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Alex cycles at a speed of 10 miles per hour He cycles 6 miles from home to
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If Alex increases his speed by 2 miles per hour from 10 miles per hour he will be 0.01 hrs or 6 minutes faster that is will take 6 minutes less to reach school.

<u>Solution: </u>

Given that  

Alex cycles at a speed of 10 miles per hour; Alex cycles 6 miles from home to school.

Need to calculate how much faster will Alex reach to school if he increase its speed by 2 miles per hour . Formula for time is as follows ,

\text { Time }=\frac{\text { Distance covered }}{\text { speed }}

Lets calculate time taken by Alex to reach school at normal speed that is 10 miles per our

As distance covered from home to school is 6 miles

Distance covered = 6 miles  

Normal Speed = 10 miles per hour

Substituting the given values in formula of time we get

Time taken at normal speed \mathrm{T}_{\mathrm{N}}=\frac{6}{10}=0.6 \text { hours }

Now calculate time taken by Alex to reach school when speed is increased by two

Distance covered = 6 miles

Increase Speed = 10 + 2 = 12 \text { miles }

Substituting the given values in formula of time we get

Time taken at Increased speed \mathrm{T}_{\mathrm{I}}=\frac{6}{10}=0.5 \text { hours }

Difference in time taken = \mathrm{T}_{\mathrm{N}}-\mathrm{T}_{\mathrm{I}}=0.6-0.5=0.10 \mathrm{ hrs }

As 1 hour = 60 minutes

\Rightarrow 0.10 \mathrm{hrs}=60 \mathrm{x} 0.10=6 \text { minutes }

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