Answer:
B.) f(x) = 3(4)x − 1
Step-by-step explanation:
A) f(x) = 12(4)x
B.) f(x) = 3(4)x − 1
C.) f(x) = 4(12)x
D.) f(x) = 4(3)x − 1
Given:
f(x+1) = 4f(x)
f(2)=12
f(2) = 12
f(3) = 4f(2) = 4 * 12 = 48
f(3)=48 and f(2)=12
From f(3)=48 and f(2)=12
r=48/12
=4
r=common ratio
Recall,
f(2)=12=ar
r=4
f(2)=ar=12
a*4=12
a=12/4
a=3
an=ar^(n-1)
For x term
an=3*4(x-1)
B.) f(x) = 3(4)x − 1
11.3 feet.
12 squared (144) minus 4 squared (16) is equal to 128. The square root of 128 is approximately 11.3.
Answer: 80th percentile
Step-by-step explanation:
There were 19 competitors below him and 5 competitors above him.
Total number of competitors is:
= 19 + 5 + Shawnte
= 25 competitors
Out of these 25 competitors, Shawnte took the 20th position.
Percentile is:
= 20/25 * 100
= 80th percentile
Answer:
40 hours will it take for the pool to fill.
Step-by-step explanation:
A pump can fill a swimming pool in 8 hours.
Work done by pump to fill in 1 hour is 
The pool also has a drain that can empty the pool in 10 hours.
Work done by pump to drain in 1 hour is 
If someone turns on the pump to fill the pool, but forgets to shut the drain.
Work done by both pipe in 1 hour is
Both pipe filled 
part of pool in hours = 1
Both pipe filled complete pool in hours = 
Therefore, 40 hours will it take for the pool to fill.
