The given function is,

The graph can be drawn as,
The period will be distance between two consequetive maximas,

Thus, period is correct.
The amplitude can be determined as,

Thus, amplitue is incorrect.
The range is,

Thus, the range is correct.
The midline is,

Thus, the midline is correct.
Thus, option (b) is the solution.
30% = 3/10
Number of hours you sleep = 24hours × 3/10
= 24hours ÷ 10 × 3
= 2.4hours × 3
= 7.2hours
Hope this helps! :)
It is equal because every 2000 pounds is 1 ton and 18000lb divided by 2000 equals 9.
Answer:
(f o g)(4) = 45
Step-by-step explanation:
f(x)=4x+1
g(x)=x²-5
(f o g)(4)=?
(f o g)(4) = f(g(4))
Calculating g(4):
x=4→g(4)=4²-5
g(4)=16-5
g(4)=11
Replacing g(4)=11
(f o g)(4) = f(g(4))
(f o g)(4) = f(11)
Calculating f(11)
x=11→f(11)=4(11)+1
f(11)=44+1
f(11)=45
Replacing f(11)=45:
(f o g)(4) = f(11)
(f o g)(4) = 45
The distance of the plane flies between the two cities is 1,113.75 miles
The formula for calculating the distance travelled is expressed as:
D = vt where:
v is the speed
t is the time taken
Given the following:
v = 99mi/hr
Total time taken = 5hr + 6.25hr
Total time taken = 11.25hr
Get the required distance
Distance = 99mi/hr * 11.25hr
Distance = 1,113.75miles
Hence the distance of the plane flies between the two cities is 1,113.75 miles
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