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: Option C.
Step-by-step explanation:
The data is:
Destin walked 2km
Jane walked 4000ft.
Let's write both of those in the same units.
The data given is:
1ft = 0.0003048km.
and 4000ft is 4000 times that:
4000ft = 4000*1ft = 4000*0.0003048km = 1.22km
Then if we add those, we get:
Total distance = 2km + 1.22km = 3.22km
So we can already discard option D.
Now, we know that:
1km = 0.6214 miles.
then 3.22 km is 3.22 times that amount:
3.22km = 3.22*1km = 3.22*(0.6214 mi) = 2 miles
The correct option is C.
Answer:
608x^3+8840x^2-14048x+2560
Step-by-step explanation:
1)

2)

Here, the variable

can assume any value, and usually an inequality presented like this has

as a stand-in for all real numbers. If we really wanted to make that fact clear, we could write the two inequalities like this:

Formally, you'd read

as "

is an element of the set of real numbers," which is a fancy way of saying that

can be any real number.