Answer:
An equation is used when we have paired sets of data to describe how the values in one pair change when we alter the values in the other set.
On the other hand, a series gives a general formula of determining the value of the nth observation when the values have been arranged in increasing order
Step-by-step explanation:
An equation such as; y = 3x+5 models the relation between the response variable y and the predictor variable x. It tells us how y changes when x is altered by a certain magnitude. The value 3 is described as the slope while 5 is the y-intercept.
On the other hand, a series such as; score = 2 + 3n provides a general formula that can be used to determine the score of the nth individual in a sample or population.
Both x and y must be rational.
Answer:
a. December 16
Step-by-step explanation:
18 June + 180 days = 15 December
Since 2 options given,
a. December 16 is the answer
Answer:
angle NMP = 63°
angle LMP = 74°
Step-by-step explanation:
Let angle NMP be x° . It's given that angle LMP is 11° more than angle NMP. So, angle LMP = x° + 11°
But angle NML = 137°.
So,
angle NMP + angle LMP = 137°
=> x° + x° + 11° = 137°
=> 2x° + 11° = 137°
=> 2x° = 137° - 11°
= 126°
=> x° = 126/2 = 63°
angle NMP = 63°
angle LMP = 63 + 11 = 74°
Given t = time and h = height
![h(t) = - 16(t - 1)^{2} + 16](https://tex.z-dn.net/?f=h%28t%29%20%3D%20%20-%2016%28t%20-%201%29%5E%7B2%7D%20%20%2B%2016)
From the equation.
![y = a(x - h)^{2} + k](https://tex.z-dn.net/?f=y%20%3D%20a%28x%20-%20h%29%5E%7B2%7D%20%20%2B%20k)
h is the axis od symmetry
(h, k) is the vertex.
In the equation, h is 1 and k is 16.
So the maximum value is 16 at t = 1.
The ball reaches maximum at 16 and it takes t = 1 to reach the maximum point.