Because 3^2 = 9
When you do (⅓)^2 what you are really doing is
(1^2)/(3^2) = 1/9
If you have (⅔)^2 you do
(2^2)/(3^2) = 4/9
Fractions get smaller because the denominator is also being squared which makes the denominator get bigger and when the denominator is bigger, you are dividing by a larger number which gives you a smaller answer. Whereas when you raise a whole number to an exponent, only the numerator get bigger because the denominator is 1 and 1 raised to any exponent is still 1
3^2 = (3^2)/(1^2) = 9/1 = 9
Answer:
Sharon
Step-by-step explanation:
The given parameters are;
The number of persons that rode on the small train = 5
The number of cars in the train = 5
The position Maren sat = Last car
The position Aaron sat = Directly behind Sharon
The position Darren sat = In one of the cars in front of Aaron
The position of one of the members = Between Karen and Darren
The given seating arrangement is as follows;
Maren → Aaron → Sharon → Darren → Karen
Therefore, the person who sat in the middle car is Sharon.
The equation of a circle with radius of 6 units and center on the x axis could be (x - 6)² + y² = 36
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
The circle has a diameter of 12 units. Hence, radius = 12/2 = 6 units.
The center of the circle is at x axis (*, 0), the equation could be:
(x - 6)² + (y - 0)² = 6²
(x - 6)² + y² = 36
The equation of a circle with radius of 6 units and center on the x axis could be (x - 6)² + y² = 36
Find out more on equation at: brainly.com/question/2972832
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Let the height of each block be x, and no. Of blocks be y
Then,
yx=h
Given:
The given polynomial is

When it divided by (x+1) gives remainder 0 and when divided by (x-2) gives remainder of 45.
To find:
The values of m and n.
Solution:
According to the remainder theorem, if a polynomial P(x) is divided by (x-c), then the remainder is P(c).
Let the given polynomial be P(x).

When it divided by (x+1) gives remainder 0. So, P(-1)=0.



...(i)
When P(x) is divided by (x-2) gives remainder of 45. So, P(2)=0




...(ii)
Multiply 2 on both sides of (i).
...(iii)
Subtract (iii) from (ii).



Putting m=5.5 in (i), we get



Therefore, the values of m and n are 5.5 and -21.5 respectively.