Describe the difference between f(x) = 2 ^ x and f (x) = 0.5 (2) ^ x.
1 answer:
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Answer:
a) It takes 0.0017s for the light to reach San Francisco.
b) It takes 0.033s for the light to reach London.
c) It takes 1.334s for the light to reach Mars.
d) It takes 149.7s for the light to reach Venus.
Step-by-step explanation:
Here we can solve this problem by using this following formula:
In which s is the speed(in km/s), d is the distance(in km) and t is the time(in s).
The light speed is 299 792 458 m / s = 299,792.458 km/s, so
(a) San Francisco (about 500km)
Find t when . So
It takes 0.0017s for the light to reach San Francisco.
b) London(about 10,000km)
Find t when . So
It takes 0.033s for the light to reach London.
(c) the Moon (400,000km)
Find t when . So
It takes 1.334s for the light to reach Mars.
(d) Venus (0.3 A.U. from Earth at its closest approach).
Each A.U. has 149,59,7871 km.
So 0.3 A.U. = 0.3*(149,597,871) = 44,879,361.3. This means that . So:
It takes 149.7s for the light to reach Venus.
Using the given exponential functions, it is found that the graph of g(x) will be less than than the graph of f(x) when x < 0.
<h3>What are the exponential functions?</h3>The given exponential functions, f(x) and g(x), are respectively given by:
When x < 0, one possible value is x = -1, hence evaluating the functions at these values:
, hence, the graph of g(x) will be less than than the graph of f(x) when x < 0.
More can be learned about exponential functions at brainly.com/question/25537936