We have the following function:
f (x) = 3/8 (4) ^ x
The function is of the form:
f (x) = A (b) ^ x
Where,
A: initial amount
b: growth factor (b> 1)
x: time variable.
Answer:
f (x) = 3/8 (4) ^ x
It is an exponential function of the form:
f (x) = A (b) ^ x
It is 30 if u are looking for the answer
Answer: 23/26
Step-by-step explanation:
Let’s say we have 3 spots, one for each of the three exchange students. It doesn’t matter who goes with who, we’re just going to choose people.
If LaQuinta is NOT one of the people chosen, then there are 25 possible people left to become tour guides. We will need to choose 3 of them, so there are (25 choose 3) = 2,300 ways.
With no restrictions, there are 26 people to choose from and 3 spots to fill. Therefore there are (26 choose 3) = 2,600 ways to fill these 3 spots with no restrictions.
The total probability is 2,300/2,600, which simplifies to 23/26.
Answer:
15 mph
Step-by-step explanation:
Before traffic cleared:
distance = 30 miles
average speed = s
time = t
d = st
30 = st
After traffic cleared:
distance = 176 miles
average speed = s + 29
time = 6 - t
d = st
176 = (s + 29)(6 - t)
30 = st
s = 30/t
176 = (30/t + 29)(6 - t)
176t = (30 + 29t)(6 - t)
176t = 180 - 30t + 174t - 29t^2
29t^2 + 32t - 180 = 0
(29t + 90)(t - 2) = 0
t = -90/29 or t = 2
Time must be a positive number, so we discard the solution t = -90/29.
t = 2
30 = st
30 = s * 2
s = 15
Answer: 15 mph
