Can you please solve it thnx
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Answer:
Kira takes 35 minutes to get ready for school.
Step-by-step explanation:
The time taken by Jared to get ready for school is, 60 minutes.
Time taken by Kira to get ready for school is times as much as Jared needs.
Compute the time taken by Kira as follows:
Time taken by Kira
Thus, Kira takes 35 minutes to get ready for school.
Answer: P(t) = 1.25.sin(.t) + 5.65
Step-by-step explanation: A motion repeating itself in a fixed time period is a periodic motion and can be modeled by the functions:
y = A.sin(B.t - C) + D or y = Acos(B.t - C) + D
where:
A is amplitude A=|A|
B is related to the period by: T =
C is the phase shift or horizontal shift:
D is the vertical shift
In this question, the motion of Pluto is modeled by a sine function and doesn't have phase shift, C = 0.
<u>Amplitude</u>:
a =
At t=0, Pluto is the farthest from the sun, a distance 6.9 billions km away. At t=66, it is closest to the star, P(66) = 4.4 billions km. Then:
a =
a = 1.25
<u>b</u>
A time period for Pluto is T=66 years:
66 =
b =
<u>Vertical</u> <u>Shift</u>
It can be calculated as:
d =
d =
d = 5.65
Knowing a, b and d, substitute in the equivalent positions and find P(t).
P(t) = a.sin(b.t) + d
P(t) = 1.25.sin(.t) + 5.65
The Pluto's distance from the sun as a function of time is
P(t) = 1.25.sin(.t) + 5.65
Answer:
months
For x = 9, the number of months will be 96.83.
Step-by-step explanation:
Linda’s savings account has fallen below the $1,000 minimum balance required to receive interest. It is currently $871.43. The monthly fee charged by the bank for falling below the minimum is x dollars.
Now, the number of months it will take Linda's account to reach a zero balance will be given by
months. (Answer)
Now, if x = 9, then months. (Answer)