To solve this problem, we are going to use a method called dimensional analysis. This involves canceling out units by multiplying by fractions equivalent to 1. We begin with our given information, that the jet flies 500 miles in one hour, and we multiply that by the fraction 1 hour/60 minutes, which is equivalent to 1. We also have to multiply by 1 minute/60 seconds, because we are looking for the amount of miles the jet flies in seconds.
500 miles/1 hour * 1 hour/60 minutes * 1 minute/60 seconds = 500 miles/3,600 seconds
Now that we have our equivalent in seconds, we must multiply by 10 seconds in order to find our answer.
500 miles/3,600 seconds * 10 seconds = approximately 1.3888 miles
Therefore, the jet flies about 1.39 miles in 10 seconds.
Hope this helps!
Answer:
g(x) = x+1
Step-by-step explanation:
Informally, you can see that the function h(x) takes the root of a value that is 1 more than the value under the same radical in f(x). This suggests that adding 1 to x in f(x) will give you h(x). That is, ...
h(x) = f(x+1) = f(g(x))
so
g(x) = x+1
_____
More formally, you can apply the inverse of the function f(x) to the equation ...
h(x) = f(g(x))
f^-1(h(x)) = f^-1(f(g(x))) . . . inverse function applied
f^-1(h(x)) = g(x) . . . . . . . . . simplified
Now f^-1(x) can be found by solving for y in ...
x = f(y)
x = ∛(y+2) . . . . . . . . . definition of f(y)
x^3 = y+2 . . . . . . . . . cube both sides
x^3 -2 = y = f^-1(x) . . . subtract 2 from both sides
So, f^-1(h(x)) is ...
f^-1(h(x)) = g(x) = (∛(x+3))^3 -2 = x+3 -2
g(x) = x+1
3/4
1/3
3/4
1/3
7/12
5/6
9/10
2/3
2/5
1/4
Hope this helps.
Have a great day!
Answer:
Step-by-step explanation:
Total distance = 3 + 2.5 = 5.5mi/h
Total time = 0.75h + 2hr = 2. 75 hr
Average speed = 5.5 / 2.75 = 2
Angle A = 30 and its complement would be 60. This is because both angles must equal 90 degrees, and 30 + 60 = 90. Also in the directions it states Angle A must be half of its complement. 30 is half of 60. Sorry I don’t have any work, I just did it in my head!
Any questions? Hope this helps!
