The number of tops on the 6th day based on the exponential model is 64, and the number of tops on the 6th day based on the linear model is 17.
<h3>What is an exponential function?</h3>
It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent 
where a is a constant and a>1
First day class collected = 2 tops
Third day class collected = 8 tops
The exponential function can be modelled:
D(1) = 2 (first day)
D(3) = 8 (third day)
D(6) = 64 (sixth day)
The linear function can be modeled:
D(N) = 3N -1
D(1) = 2 (first day)
D(3) = 8 (third day)
D(6) = 17 (sixth day)
Thus, the number of tops on 6th day based on exponential model is 64, and the number of tops on the 6th day based on the linear model is 17.
Learn more about the exponential function here:
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Answer:
Quadratic
Step-by-step explanation:
Linear equations are straight lines while quadratics are curved in a "u" shape. These points have a vertex and go up on both sides, a quadratic would be able to better fit this since their y values repeat, unlike linear models.
Answer:
x = -3, y =3
Step-by-step explanation:
y = -4/3x - 1
y = 1/3x + 4 -------> 4y = 4/3x + 16
Adding the first equation and the new second equation together:
5y = 15 ------> y = 3
Plug y = 3 into one of the original equations:
3 = 1/3x + 4
-1 = 1/3x
x = -3
Answer:
236 cm²
Step-by-step explanation:
Height of an equilateral triangle (h) = √3 /2 (l)
l = side of the equilateral triangle.
h = √3 /2 (15)
In an equilateral triangle the orthocenter, centroid, circumcenter and incenter are in the same spot
The center of the circle is the centroid and height match with the median. The radius of the circumcircle is equal to two thirds the height.
Formula for the Radius of the circumcircle = 2/3 h
= 2/3 x √3 /2 (15)
= 5 √3 cm (=radius)
Area of the circle = πr^
= 3.14 x( 5 √3 ) ^
=3.14 x(25*3)
=3.14 x 75
=235.5
=236 cm²
Answer:
Step-by-step explanation:
Sin (π - x ) = Sin x = m
