First term f = 1
If first four terms are f, f + d, f + 2d, f + 3d
f + f + d + f + 2d + f + 3d = 100
4f + 6d = 100 (divided by 2 , both sides )
2f + 3d = 50
2 + 3d = 50
3d = 50 – 2
3d = 48
d = 48/3
d = 16
The arithmetic sequence is 1, 17, 33, 49, ………….
Answer:
heck ya
Step-by-step explanation:
Answer:
Given that Angelo spends the same amount every day from the amount in
the lunch card, the function of the amount remaining is a linear function.
The constant rate of change of the function is; -5.25
The two ordered pairs used to find the constant rate of change are; (1, 44.75) and (2, 39.5)
Reasons:
The amount Angelo's mother put on the lunch card = $50
A possible table of values to the question is presented as follows;
Required:
The constant rate of the function that gives the amount remaining from the
amount Angelo's mother put on his lunch card.
Solution:
The two ordered pairs that can be used to find the slope or constant rate of change are;
(x₁, y₁) = (1, 44.75), and (x₂, y₂) = (2, 39.5)
With the above two ordered pairs, we have the constant rate of change of the function given as follows;
The constant rate of change for the function that gives the amount remaining in the lunch card is; -5.25
Answer:
V = 3617.28 m^3
Step-by-step explanation:
Volume of a cone
V = 1/3 πr^2h
Where r = 24/2 = 12 m
h = 24 m
Plug in
V = 1/3 (3.14) (12^2)(24)
V = 3617.28 m^3
Answer:
The coefficient of squared term is 1/9
Step-by-step explanation:
The vertex of parabola is (2.-3)
We know the vertex form of a standard parabola

Plugging values of h and k, h= 2, k = -3

Now, x=5, y=-2




Thus, the coefficient of squared term is 1/9