Step-by-step explanation:
Given that,
Directrix, d= -5, and eccentricity, e = 2.
The polar equation of the conic is given by :
Put all the values,
As e>1, it is a hyperbola. Hence, this is the required solution.
Answer:
Step-by-step explanation:
- Initial number = 10
- Weekly growth rate = 15% or 1.15 times
<u>Equation for this relationship:</u>
- V(t) = 10*1.15^t, where t - number of weeks
<u>Number of views in 5 weeks:</u>
- V(5) = 10*1.15^5 = 20 views (rounded)
Step-by-step explanation:
I am not sure about the meaning of the last question, but we will get there.
so, his own speed is 8 mph.
d = the given distance (half-trip) in miles.
time = distance / speed
t = time to travel downstream in hours
t + 2 = d/(8 - 3)
t = d/(8 + 3)
we use the second equation in the first
d/(8 + 3) + 2 = d/(8 - 3)
d/11 + 2 = d/5
5d/11 + 10 = d
5d + 110 = 11d
6d = 110
3d = 55
d = 55/3 = 18.33333333...
he will row 2×d (round trip) = 36.6666666... miles =
= 36 2/3 miles
t = d/(8 + 3) = 18.3333333... / 11 =
= 1.666666666... =
= 1 2/3 hours =
= 1 hour 60×2/3 minutes =
= 1 hour 120/3 = 1 hour 40 minutes
it will take him 1 hour 40 minutes to row downstream.
he will row 36 2/3 miles in total.
Answer: 5.265
Step-by-step explanation:
Line up the decimal and add them together.
Answer:
- Amplitude = 48
- Interpretation: The vertical distance from the center line to either the highest point or the lowest point is 48 feet. It represents half the total vertical distance from peak to valley.
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Explanation:
The facts "The right lasts for 18 minutes" and "tickets are just $2" are not relevant to this question.
All we care about really is the h(t) function.
The general sine function is
y = A*sin(B(x-C)) + D
where
- |A| = amplitude
- B is used to find the period T = 2pi/B
- C is the horizontal phase shift
- D is the vertical shift and y = D is the center line
Here we have A = 48 so |A| = |48| = 48 is the amplitude. If you graphed the h(t) function, you would find that y = 55 is the center line and y = 55+48 = 103 is the highest y value possible, while y = 55-48 = 7 is the lowest y value possible.
In short, the Ferris wheel reaches the highest point of 103 feet and the lowest point of 7 feet off the ground.