Suppose that the exponential growth function is y = 4^x.
If x = 1, then y = 4^1 = 4.
If x = 3, then y = 4^3 = 64.
Let the initial value be 1/2.
The growth function is now y = 1/2 * 4^x.
If x =1, then y = 2 which is half of the y value before adding the 1/2.
If x = 3, then y = 1/2 * 64 = 32.
Answer: 1/2
Answer:
b
Step-by-step explanation:
Answer:
y =
x + 
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = 
with (x₁, y₁ ) = (- 2, 1 ) and (x₂, y₂ ) = (6, 3 )
m =
=
=
=
, then
y =
x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (6, 3 ) , then
3 =
+ c ⇒ c = 3 -
= 
y =
x +
← equation of line
If the order does not matter, cars can be arranged in 20 ways
If an order is important, cars can be arranged in 120 ways
The probability that the three newest cars end up parked in the driveway is 0.167
1. If the order does not matter, combination is used

Here, n=6 r=3
using formula,we get

2. If an order is important, Permutation will be applicable

∴
3. the probability that the three newest cars end up parked in the driveway
P=
=
=
=
≈ 0.167
Hence, If the order does not matter, cars can be arranged in 20 ways
If an order is important, cars can be arranged in 120 ways
The probability that the three newest cars end up parked in the driveway is 0.167
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