In the following exercises, determine which of the following are (a) counting numbers (b) whole numbers.
2, 99
Expert Solution
To determine
(a)
The counting numbers in the given set.
Answer to Problem 453RE
2 and 99
Explanation of Solution
Given information:
The set of numbers is 0,2,99 .
Algebra represents word and idea with the help of symbols and numbers. In algebra, the numbers used to count the objects are the most basic numbers; they are 1,2,3,4,5... and so on.
All these numbers are known as counting numbers. Here, " ..... " this notation is ellipsis which is a way to show "and so on" which means the same pattern continues endlessly. All the counting numbers are natural numbers.
Thus, counting numbers starts from 1 and continues endlessly following the same pattern as shown below:
1,2,3,4,5... and so on.
Calculation:
The given numbers are 0,2 and 99 .
The counting numbers starts from 1 and continues endlessly following the same pattern. For example, 1,2,3,4,5,….. and so on.
In counting numbers, zero is not included therefore, 2 and 99 are counting numbers.
(b)
Expert Solution
To determine
The whole numbers in the given set.
Answer to Problem 453RE
0,2 and 99
Explanation of Solution
Given information:
The set of numbers is 0,2,99 .
In the history of mathematics, the discovery of number zero is a biggest achievement.
A new set of numbers is form if zero is included in the set of counting numbers. This new set of numbers is known as whole numbers.
Counting numbers and whole numbers can be seen on a number line as shown below:
In the above number line, the point at number zero is known as origin. There are equally spaced points on the right of the origin labelled with the counting numbers. When pairing of a point and number takes place, the number is called the coordinate of the point.
Therefore, whole numbers are counting numbers and zero. The pattern is as follows:
0,1,2,3,4,5,....... and so on.
Calculation:
The given numbers are 0,2 and 99 .
The whole numbers are counting numbers and zero. The pattern is as follows:
0,1,2,3,4,5,....... and so on.
Since, whole numbers includes 0 in the counting numbers therefore, 0,2 and 99 are whole numbers.
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The Course Name Real Analysis please Solve questions by Real Analysis
part 3 of the question is:
A power outage occurs 6 min after the ride started. Passengers must wait for their cage to be manually cranked into the lowest position in order to exit the ride. Sine function model: where h is the height of the last passenger above the ground measured in feet and t is the time of operation of the ride in minutes.
What is the height of the last passenger at the moment of the power outage? Verify your answer by evaluating the sine function model.
Will the last passenger to board the ride need to wait in order to exit the ride? Explain.
2. The duration of the ride is 15 min.
(a) How many times does the last passenger who boarded the ride make a complete loop on the Ferris
wheel?
(b) What is the position of that passenger when the ride ends?
College Algebra with Modeling & Visualization (5th Edition)
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