M=-3.5+2t, R=-3t when they meet M=R so
-3.5+2t=-3t
-3.5+5t=0
5t=3.5
t=0.7 hrs (42 minutes)
Step 2! The reason for that is the student didnt multiplied (15-2z) with -2. But she should have!
The length of the rope in this case becomes the radius of the circle that the goat is able to graze. The area of the circle is calculated through the equation,
A = πr²
Substituting,
A = π(5m)² = 78.54 m²
Thus, the area that the goat is able to graze is equal to 78.54 m².
Answer:
Range of
is (−5,11).
Step-by-step explanation:
Given the invertible function Ф(x) which has the domain (−5,11) and the range (−12,1).
Invertible function is the function that inverses another function i.e if y=Ф(x) then x=g(y) where g is called the inverse of Ф and denoted by
Given Ф(x) the function whose domain is (−5,11) and range is (−12,1). Therefore, by definition of invertible function there exist a function g with domain (−12,1) and range (−5,11) which is called the inverse function denoted by 
Hence, Range of
is (−5,11)
Combine the two sets to form one giant set. If needed, toss out any duplicate values.
So,
A U B = {4,7,10,13,17, 3,5,7,9}
Toss out the duplicate item "7" and sort the values to get
A U B = {3,4,5,7,9,10,13,17}