Answer:
20% decrease in value.
Step-by-step explanation:
Do 650,000 divided by 100 to find what 1% of the original price is:
650,000 divided by 100 = 6,500
To find what percentage of the original price 520,000 is, we divide it by 1% of the original cost (6,500):
520,000 divided by 6,500 = 80 (percent)
So if 520,000 is 80% of 650,000 the car has decreased in value by 20%.
By using the definition of inverse functions, we will see that:
g(g(f(f(f(36))))) = f(36) = 25.
<h3>
What are inverse functions?</h3>
Two functions f(x) and g(x) are inverses if:
f( g(x) ) = x
g( f(x) ) = x
Then we can rewrite:
g(g(f(f(f(36)))))
First, we can see that:
g(f(f(f(36)))) = f(f(36))
Replacing that in our expression, we get:
g(g(f(f(f36))))) = g(f(f(36)))
And the above expression is equal to f(36), to be sure of that, let's replace:
u = f(36)
Then we can rewrite:
g(f(f(36))) = g(f(u))
And by definition, the above thing is equal to u:
g(f(u)) = u = f(36).
Finally, we conclude that:
g(g(f(f(f(36))))) = f(36) = 3*√36 + 7 = 3*6 + 7 = 25
If you want to learn more about inverse functions, you can read:
brainly.com/question/12220962
The answer to the question
Answer:
- arc second of longitude: 75.322 ft
- arc second of latitude: 101.355 ft
Explanation:
The circumference of the earth at the given radius is ...
2π(20,906,000 ft) ≈ 131,356,272 ft
If that circumference represents 360°, as it does for latitude, then we can find the length of an arc-second by dividing by the number of arc-seconds in 360°. That number is ...
(360°/circle)×(60 min/°)×(60 sec/min) = 1,296,000 sec/circle
Then one arc-second is
(131,356,272 ft/circle)/(1,296,000 sec/circle) = 101.355 ft/arc-second
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Each degree of latitude has the same spacing as every other degree of latitude everywhere. So, this distance is the length of one arc-second of latitude: 101.355 ft.
_____
<em>Comment on these distance measures</em>
We consider the Earth to have a spherical shape for this problem. It is worth noting that the measure of one degree of latitude is almost exactly 1 nautical mile--an easy relationship to remember.
Answer:
The following lines is perpendicular, y=-x+6 and y=x+1
Step-by-step explanation:
- Slope of parallel lines are equal
(ex. slope of 2 stays 2 )
- Slope of perpendicular lines to another is the negative reciprocal
(ex. slope of 2 becomes -1/2)
y = -x + 6 and y = x + 1
the slope for y = -x + 6 is <em>-1 (-1/1)</em>
the slope for y = x + 1 is <em>1</em>
the slope -1 is the negative reciprocal of 1
hence, the definition of perpendicular fits the given
Learn more about Perpendicular and Parallel Lines here: brainly.com/question/1202004
