The given variable is a continuous variable.
<h3>What is
continuous variable?</h3>
A quantitative variable can be either continuous or discrete depending on whether it is normally obtained through measurement or counting. A variable is continuous over a range of real values if it can take on any two specific real values and all other real values in between.
<h3>What is mercury thermometer?</h3>
In Amsterdam, physicist Daniel Gabriel Fahrenheit created the mercury thermometer, also known as a mercury-in-glass thermometer. It consists of a glass tube with a small diameter and a mercury bulb attached to it; the bulb contains far more mercury than the tube does.
<h3>According to the information:</h3>
A mercury thermometer was used to take the subject's temperature.
Because of the temperature:
- Not counting but measuring it.
- You can use a decimal number to represent its value.
- As a result, it is open to any value inside an interval.
- Temperature is therefore a continuous variable.
- The only format in which discrete values can be stated is as whole numbers.
so
Temperature is a continuous variable,
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Answer: The required value of f(3) is 81.
Step-by-step explanation: We are given the following function :
We are to find the value of f(3).
Substituting x = 3 in equation (i), we get
Thus, the required value of f(3) is 81.
Answer:
12 years younger.
Step-by-step explanation:
Let Jan's age be J and Karyn's age be K.
Jan's age 8 years ago is 2/5 of Karyn's age 4 yeaRs from now.
=> 
=> 4K = 48 X 3
=> K= 36.
=> J= 24.
So Jan is 12 years younger.
Answer:
<h3>C. They are both perfect squares and perfect cubes.</h3>
Step-by-step explanation:
Perfect squares are numbers that their square root can be found easily without any remainder.
Given the following patterns;
1*1 = 1 and 1*1*1 = 1
It can be seen that 1 is 1 perfect square since 1*1 = 1² = 1
Also 1 is perfect cube since 1*1*1 = 1³ = 1 (cube of the value gives 1)
Similarly for the expression;
8*8 = 64
8² = 64 (since the square of 8 gives 64, then 64 is known to be a perfect square)
Also 4*4*4 = 64
i.e 4³ = 64 (This shows that the cube root of 64 is 4 making it a perfect cube since we can get a whole number for the cube root of 64)
The same is applicable for other expressions 729 = 27 × 27, and 9 × 9 × 9, 4,096 = 64 × 64, and 16 × 16 × 16
This values are easily expressed as a constant multiple of a number showing that they are both perfect squares and perfect cubes.
