The next three terms of the sequence 20, 40, 80, 160,… are 320, 640, and 1280.
1 answer:
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Answer:
75 Km
Step-by-step explanation:
we know that
The scale on a map is
That means
0.5 cm on a map represent 3 Km in the actual
so
using proportion
Find out the actual distance between the towns, if the distance on the map is 12.5 cm
The sinusoidal function that models the situation is:
From the function, we have that:
- The amplitude is of 4.5 ft.
- The mid-line equation is of y = 5.
A sinusoidal function is a trigonometric function, and has the following format, considering no phase shift:
In which:
- A is the amplitude, which is the twice the difference between the largest and smallest value.
- The period is of
.
- C is the vertical shift, and the mid-line equation is
.
In this problem, the high is of 9.5 ft and the low is of 0.5 ft, hence, for the amplitude, we have that:
With an amplitude of 4.5, the standard function would vary between -4.5 ft and 4.5 ft, while in this problem the variation is from 0.5 ft to 9.5 ft, hence the vertical shift is of:
Which means that the mid-line equation is of y = 5.
Period of 24 hours, hence:
Hence, the function is:
You can learn more about sinusoidal functions at brainly.com/question/26384970