Answer:
The inductive reasoning is based on A: a limited number of observations
Step-by-step explanation:
Let's say you lived until 90 years old, and took a observation on July 4th each year. Even if you lived until 90 years old, you would only have 90 observations. And inductive reasoning allows for statements to be false, so any of the 90 observations that you took can be proven false. So really, you would have only 90 observations, with any of them that could be false. A limited number of observations would be the only thing that you could base this reasoning off of.
The given above may be modeled by the arithmetic sequence with initial value (I) 2200 and common difference (d) of 70. The number of applicants every year can be written by the equation,
at = a1 + (n - 1) x d
From the given above, n is equal to 4. This corresponds to the term which is 3 years from now.
at = 2200 + (4 - 1) x 70 = 2410
Thus, the enrollment capacity would be 2410 students.
Answer:
The circumference of the circle = 26π unit.
Step-by-step explanation:
Given:
Radius of the circle, r = "x+6"
Diameter of the circle, d = "3(x)+5"
We have to find the circumference of the circle in terms of pi.
Formula to be used:
Circumference of a circle = 2πr or πd
As we know that:
Radius = Half of diameter
So,
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
...<em>Arranging variables and constants. </em>
⇒ 
Plugging x = 7 we will find the radius and the diameter.
⇒ Radius = "x+6" = "7+6" = 13
⇒ Diameter = "3(x)+5" = 3(7)+5 =26
Lets find the circumference of the circle.
⇒ Circumference = 
Or
⇒ Circumference = 
The circumference of the circle = 26π unit.
Answer and Explanation: The answer is in the 1st image, and the explanation is in the 2nd image.
Equation:
9+3x=30
Answer:
9+3x=30
Subtract 9 from each side.
3x=21
divide by 3 on each side.
x=7
Each shirt cost $7.
