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Murrr4er [49]
2 years ago
11

Suppose S is a recursively defined set, defined by the number 1 is in S if n is in S, then so is 3n+2 - if n is in S, then so is

5n-1 if n is in S, then so is n+7 Suppose you want to prove using structural induction that all members of S have a certain property. What do you have to prove in the base step? That the numbers 5,4 and 8 have the property. That the number 1 has the property, and the numbers 5, 4 and 8. O That the numbers 5, 4 and 8 are in the set S. That the number 1 has this property.
Mathematics
1 answer:
jolli1 [7]2 years ago
8 0

Answer:

That the number 1 has this property.

Step-by-step explanation:

For base step we have to prove that number 1 has the property.

so therefore the smallest number of S is 1.

So that the number 1 has this property.

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If you have a stack of pennies without counting them how do you know if there is an even or odd number of them
zavuch27 [327]

If I have a stack of pennies. And I have to tell that without counting whether there are even number of pennies or odd.

Even numbers are the numbers which are divisible by 2 and odd numbers are the numbers which are not divisible by 2.

Then I will put the given pennies in 2 rows and then I will match them to form a pair of 2 pennies. After matching, if there is 1 penny left over, then there is an odd number of pennies and if all the pennies have a match,then there is an even number of pennies.

5 0
2 years ago
A new car is purchased for 15300 dollars. The value of the car depreciates at 14.25% per year. What will the value of the car be
Andrei [34K]

Answer:

\$6,082.70  

Step-by-step explanation:

we know that

The  formula to calculate the depreciated value  is equal to  

V=P(1-r)^{x}  

where  

V is the depreciated value  

P is the original value  

r is the rate of depreciation  in decimal  

x  is Number of Time Periods  

in this problem we have  

P=\$15,300\\r=14.25\%=0.1425\\x=6\ years

substitute in the formula

V=15,300(1-0.1425)^{6}  

V=15,300(0.8575)^{6}  

V=\$6,082.70  

3 0
3 years ago
Use the formula t=ln2/k that gives the time for a population, with a growth rate k, to double, to answer the following question.
Arturiano [62]

Answer:

  • k = 0.005
  • doubling time ≈ 139 years

Step-by-step explanation:

Matching the form

  A = A0·e^(kt)

to the given equation

  A = 8·e^(.005t)

we can identify the value of k as being 0.005.

  k = 0.005

___

The doubling time is given by the formula ...

  t = ln(2)/k = ln(2)/0.005 ≈ 138.63

It will take about 139 years for the population to double.

3 0
2 years ago
The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented
larisa86 [58]

Answer: 10.2

Step-by-step explanation:

3 0
2 years ago
Tape travels through a tape player at a speed 0.048 meters per seconds. How long is tape that can play for 30 minutes
Vadim26 [7]
OK So this is how u do this:- 

0.048*30=1.44

Hope I helped:D 



8 0
2 years ago
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