Answer:
Step-by-step explanation:
Let us assume that if possible in the group of 101, each had a different number of friends. Then the no of friends 101 persons have 0,1,2,....100 only since number of friends are integers and non negative.
Say P has 100 friends then P has all other persons as friends. In this case, there cannot be any one who has 0 friend. So a contradiction. Hence proved
Part ii: EVen if instead of 101, say n people are there same proof follows as
if different number of friends then they would be 0,1,2...n-1
If one person has n-1 friends then there cannot be any one who does not have any friend.
Thus same proof follows.
This problem can be solved using two equations:
The first represents the total trip, which is the miles driven in the morning added to those in the afternoon. Let's call the hours driven in the morning X and the hours driven in the afternoon Y. We get: X + Y = 248.
The second equation relates the miles driven in the morning compared to the afternoon. Since 70 fewer miles were driven in the morning than the afternoon, then X = Y - 70.
Now substitute the equation for morning hours (equation 2) into the total miles equation (equation 1). We get:
(Y - 70) + Y = 248
2Y - 70 = 248
2Y = 318
Y = 159
We know that Winston drove 159 miles in the afternoon.
To find the morning hours, just substitute 159 into the equation for morning hours (equation 2)
X = 159 - 70
X = 89
We now know that Winston drove 89 miles in the morning.
We can check our work by plugging both distances into the total distance equation: 89 + 159 = 248
The remainder is 13.
The number 559 is called the numerator or dividend, and the number 26 is called the denominator or divisor.
The quotient of 559 and 26, the ratio of 559 and 26, as well as the fraction of 559 and 26 all, mean (almost) the same:
559 divided by 26, often written as 559/26.
Read on to find the result of 559 divided by 26 in decimal notation, along with its properties.
The remainder is 13.
To learn more about division here: brainly.com/question/21416852
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Answer:
Step-by-step explanation:
Exponential growth function can be represented as follows
y = 
Here y increases exponentially with respect to t . As t increases , rate at which y increases is increases .or
dy / dt =by , or rate of increase depends upon y itself
dy / y = bdt
integrating on both sides
lny = bt
y =
It represents very fast increase in y .
The unrestricted growth of population of human being is an example of exponential growth . As population increases , rate of growth of population also increases.
For exponential decay function
y = 
The decay of a radioactive material is an example of exponential decay function.
