Let us assume that the time taken by the category 3 hurricane to travel from Cuba to Key West = X minutes
Speed of the category 3 hurricane is given as 20.88 km/hr
So the category 3 hurricane can travel 20.88 km in 1 hour.
The distance between Cuba and Key West = 145 km
Then
20.88 km is travelled by the category 3 hurricane in = 60 minutes
145 km from Cuba to Key west is travelled by the category 3 hurricane in = X minutes
So,
X = [(145 * 60)/20.88] minutes
= 416.66 minutes
= 17 hours and 36 minutes
Time taken by the category 3 hurricane to reach Key West from Cuba is 17 hours and 36 minutes.
General Idea:
Domain of a function means the values of x which will give a DEFINED output for the function.
Applying the concept:
Given that the x represent the time in seconds, f(x) represent the height of food packet.
Time cannot be a negative value, so
The height of the food packet cannot be a negative value, so
We need to replace 
for f(x) in the above inequality to find the domain.
![-15x^2+6000\geq 0 \; \; [Divide \; by\; -15\; on\; both\; sides]\\ \\ \frac{-15x^2}{-15} +\frac{6000}{-15} \leq \frac{0}{-15} \\ \\ x^2-400\leq 0\;[Factoring\;on\;left\;side]\\ \\ (x+200)(x-200)\leq 0](https://tex.z-dn.net/?f=%20-15x%5E2%2B6000%5Cgeq%200%20%5C%3B%20%5C%3B%20%20%5BDivide%20%5C%3B%20by%5C%3B%20-15%5C%3B%20on%5C%3B%20both%5C%3B%20sides%5D%5C%5C%20%5C%5C%20%5Cfrac%7B-15x%5E2%7D%7B-15%7D%20%2B%5Cfrac%7B6000%7D%7B-15%7D%20%5Cleq%20%5Cfrac%7B0%7D%7B-15%7D%20%5C%5C%20%5C%5C%20x%5E2-400%5Cleq%200%5C%3B%5BFactoring%5C%3Bon%5C%3Bleft%5C%3Bside%5D%5C%5C%20%5C%5C%20%28x%2B200%29%28x-200%29%5Cleq%200%20)
The possible solutions of the above inequality are given by the intervals ![(-\infty , -2], [-2,2], [2,\infty )](https://tex.z-dn.net/?f=%20%28-%5Cinfty%20%2C%20-2%5D%2C%20%5B-2%2C2%5D%2C%20%5B2%2C%5Cinfty%20%29%20)
. We need to pick test point from each possible solution interval and check whether that test point make the inequality 
true. Only the test point from the solution interval [-200, 200] make the inequality true.
The values of x which will make the above inequality TRUE is 
But we already know x should be positive, because time cannot be negative.
Conclusion:
Domain of the given function is 
Answer:
perimeters =41.2
area=91.65
Step-by-step explanation:
rectangle Perimeter(<em>p</em>) Area (<em>A</em>)
L=length 2 (L+W) L×W
W=width
Answer:
4:9
Step-by-step explanation:
Area is squaring and Volume is cubing
So it'd be 2^2:3^3, or 4:9
I hope this helped and have a good rest of your day!
