For this case we have an equation of the form:
y = A * (b) ^ t
Where,
A: initial amount
b: decrease factor
t: time
Substituting values:
y = 30 * (b) ^ t
To calculate t we use a point in the table.
We have:
(t, y) = (1, 28.5)
Substituting:
28.5 = 30 * (b) ^ 1
b = 28.5 / 30
b = 0.95
Answer:
a. Decay factor is 0.95
I think it’s c and e but I don’t know cause I’m in sixth grade????
Answer:
Scale = 5ft/in
Step-by-step explanation:
Given
Scale Measurement = 6in.
Actual Width = 30ft
Required
Scale Ratio.
The scale ratio can be calculated as thus:
Scale Ratio = Actual Measurements ÷ Scale Measurements
Scale Ratio = 30ft ÷ 6in
Scale Ratio = 30ft/6in
Simplify to lowest terms
Scale Ratio = 5 ft/1 in
Scale Ratio = 5ft/in
This can also be represented as follows;
Scale Ratio = 5ft : 1in
This means that 5 ft on the actual measurements is represented by 1inch on the scale.
Ok, so for parabola a(x-h)^2 +k
abs(a) = 1/(4c) where c is the distance between the focus and directrix.
The distance is 4-1, or 3 (y coord of the focus - y coord of directrix)
so a = 1/(4*3) or 1/12
and the vertex (h,k) is the midpoint of the segment between the focus and directrix, which is (1, 2.5)
the parabola is 1/12*(x-1)^2 + 2.5
