Answer: Satisfied for n=1, n=k and n=k+1
Step-by-step explanation:
The induction procedure involves two steps
First is
Basic Step
Here we consider that for the value n=1, there is one car and it will always make the full circle.
Induction Step
Since basic step is satisfied for n=1
Now we do it for n=k+1
Now according to the statement a car makes full circle by taking gas from other cars as it passes them. This means there are cars that are there to provide fuel to the car. So we have a car that can be eliminated i.e. it gives it fuels to other car to make full circle so it is always there.
Now ,go through the statement again that the original car gets past the other car and take the gas from it to eliminate it. So now cars remain k instead of k+1 as it's fuel has been taken. Now the car that has taken the fuel can make the full circle. The gas is enough to make a circle now.
So by induction we can find a car that satisfies k+1 induction so for k number of cars, we can also find a car that makes a full circle.
Answer:
steps below
Step-by-step explanation:
3 = 2/3 m
m = 9/2
by the matrix property of associative: (A+B)+C = A+(B+C)
H = [-2 8 -1]
m x H = 9/2 x [-2 8 1] = [-9 36 -9/2]
Answer:
The expression is (-24) / 6 = -4degrees which means that in each week the average change in temperature was -4 degrees Celsius.
Step-by-step explanation:
Change in a quantities can as well be interpreted as rate of change which is used in many everyday problems, such as weather forecast, traveling , in science and so on.When we are talking about rate of change it's is usually in ratio such as Miles per hour or feet per second can be used in calculation involving rates of speed. It is how one quality is changing with respect to time , for instance, rate equals distance divided by time: r = d/t.
In finance rate of change is also applicable we can have Unit price which is a particular rate that compares a price to some unit of measure. Example is $64 per dozen.
Therefore, Given from the question,
The temperature of a city changed -24 degrees Celsius ,
Time =6 weeks period.
Then change is r = d/t.
= (-24) / 6
Change = (-24) / 6 = -4 degrees
This means that each week the average change in temperature was -4 degrees Celsius.
Answer: X > 100
Step-by-step explanation:
X - 19 < 81
Once the less than sign is turned over
X > 81 +19
X > 100
Thus, the value of X must be greater than 100
Jo's lunch contains the most calories because if its twice breakfast and breakfast is 450 multiply that X2 you get 950. Then add 950 plus 450 you get 1400 then subtract 1400 from 2200 then you get the remaining 800 calories which shows that the most calories she eats is in her lunch meal.
