Answer:
A) 63.36 years.
B) 100.42 years.
Step-by-step explanation:
We have been given that the population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year.
A) Since we know that population increases exponentially, therefore we will use our given information to form an exponential model for population increase and then we will solve for the time by which our population will be double.
Now let us solve for t using logarithm.
Therefore, it will take 63.36 years the population to be double.
B) Now we will find the number of years it will take the population to be triple of its size.
Now let us solve for t using logarithm.
Therefore, it will take 100.42 years the population to triple of its size.
Given:
The location of point S on a coordinate plane.
To find:
The ordered pair for the point S.
Solution:
A point is defined as (x,y), where, |x| is the distance between the point and y-axis, and |y| be the distance between the point and x-axis. Signs of coordinates depend on the quadrant.
From the given graph it is clear that,
Distance between S and y-axis = 3.5
Distance between S and x-axis = 5.5
Point S lies in 3rd quadrant, it means x- and y-coordinates are negative.
Therefore, the ordered pair of point S is (-3.5,-5.5).
Answer:
0_10 =0_2
Step-by-step explanation:
Convert the following to base 2:
0_10
Hint: | Starting with zero, raise 2 to increasingly larger integer powers until the result exceeds 0.
Determine the powers of 2 that will be used as the places of the digits in the base-2 representation of 0:
Power | \!\(\*SuperscriptBox[\(Base\), \(Power\)]\) | Place value
0 | 2^0 | 1
Hint: | The powers of 2 (in ascending order) are associated with the places from right to left.
Label each place of the base-2 representation of 0 with the appropriate power of 2:
Place | | | 2^0 |
| | | ↓ |
0_10 | = | ( | __ | )_(_2)
Hint: | Divide 0 by 2 and find the remainder. The remainder is the first digit.
Determine the value of 0 in base 2:
0/2=0 with remainder 0
Place | | | 2^0 |
| | | ↓ |
0_10 | = | ( | 0 | )_(_2)
Hint: | Express 0_10 in base 2.
The number 0_10 is equivalent to 0_2 in base 2.
Answer: 0_10 =0_2
