Answer:
Option D
Step-by-step explanation:
Given that the number of hours of daylight in a city in the northern hemisphere shows periodic behavior over time
Let t be the independent variable and no of hours H(t) be the dependent variable on t.
Maximum H(t) = 14.4 and average =12
Period = 365 days
If we fix a sine curve for this since period is 365, we must have coefficient of t as
So the function H(t) will have sine term as sin 0.017t ... i
Since average = 12, we have
H(t) = 12+a sin 0.017t
for some suitable a.
To find a, use maximum
Maximum is when angle is 90 degrees i.e. when sine value =1
max H(5) = 14.4 = 12+a (1)
a =2.4
Hence correct equation would be'H(t) = 2.4sin(0.017t)+12
OPtion D is right answer.
Answer: 10
Step-by-step explanation:
80/100 of 10
0.8 × 10 = 8
9514 1404 393
Answer:
f(-1) = -1
Step-by-step explanation:
x = -1 falls in the middle segment, where -2 < x < 2. So, the applicable function definition is ...
f(x) = -2x -3
f(-1) = -2(-1) -3 = 2 -3
f(-1) = -1
960 X 0.3 = $288
960X 0.45 = $432
960 - 288 - 432 = $240
Katherine will pay $240