Jerome is a pharmacy technician that filled a prescription that use 1/4 bottle of ibuprofen. How many pills did jerome use for t
1 answer:
It is clearly mentioned in the question that each bottle of ibuprofen has 1000 pills.
Now, 1/4 bottle of ibuprofen is used to make the prescription.
So, if one bottle of ibuprofen has 1000 pills and 1/4 1/4 bottle of ibuprofen is used to make the prescription, then Jerome obviously used pills of ibuprofen to make the prescription.
This can be further explained as follows:
1 bottle=1000 pills
bottle=
=250 pills.
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Answer:
(a)∀ r∈ℝ, r∈ℚ, r³∈ℚ
(b)True
Step-by-step explanation:
Definition
1. A real number is said to be rational if and only if there exists two integers a and b such that where b≠0.
2. If the product of three numbers is zero, then at least one of the numbers must be zero.
Given Statement
The cube of any rational number is a rational number.
This can be rewritten as:
For all real numbers, if the number is rational then its cube is rational.
If we introduce our variable r,
For all real number r, if r is rational, then r³ is rational.
∀ r∈ℝ, r∈ℚ, r³∈ℚ
(b)The Statement is True.
To prove: The cube of any rational number is rational.
Proof:
We assume that r is a rational number and prove that its cube is a rational number.
By definition, there exists integers a and b such that:
where b≠0.
Since the cube of an integer is also an integer, a³ and b³ are also integers.
Since b is non-zero, then the zero product property tells us that its cube is also non-zero.
Conclusion:
is rational since a³ and b³ are integers and b is non-zero.
Answer:
Step-by-step explanation:
Occurrence Year seen Difference
1 1949 -
2 1956 1956 - 1949 = 7
3 1963 1963 - 1956 = 7
4 1970 1970 - 1963 = 7
Difference between each successive term of year seen = 7 years
Therefore, there is a common difference of 7 years between each successive term.
Function defining the year seen will be a linear function and will increase in the same pattern. (multiple of 7 years)
2017 - 1970 = 47 (It's not the multiple of 7)
2018 - 1970 = 48 (It's not the multiple of 7)
2019 - 1970 = 49 (multiple of 7)
2020 - 1970 = 50 (It's not the multiple of 7)
Therefore, comet will be seen next in 2019.
Option (C) will be the answer.
If a person is born in 2005
Then difference between 2005 and 1949 = 56 years
Number of times comet seen after 1949 = times
Total number of comet seen in the lifetime = 8 times