A set of ordered pairs is called a relation. The set of all first components of the ordered pairs of a relation is the domain of the relation, and the set of all second components of the ordered pairs is the range of the relation. :)
The v means the square root I hope this helps
Answer:if you looked at hem like they were rows, in the first row the third one would be an expression. In the second row, the second one would be an expression. This is becuase they both have an equal sign.
Answer: cos (25° + 10°)
Step-by-step explanation: The expression:
sin(25°) cos(10°) − cos(25°) sin(10°)
is associated to the expression for the cosine of the sum of two angles that is:
cos (α+β) = sinα *cosβ -cosα*sinβ
Hence if we do α = 25° and β = 10°
by subtitution we get:
cos (25° + 10°) = sin(25°) cos(10°) − cos(25°) sin(10°)
The volume of the gallon is 6000 gallon
the rate of water flow per min is f(t)=300t^2
a] amount of water that flowed in the first 7 minutes=7/60 hours will be:
f(7)=300(7/60)^2
solving the above we get
f(7)=7/12 gallons
b] The time taken for the tank to be empty will be as follows:
amount of water that will flow out for the tank to be empty will be 6000 gallons
thus,
6000=300t^2
this can be simplified to
20=t^2
t^2-20=0
solving this we get:
t=-2√5 or 2√5
the time taken for the tank to be empty will be t=2√5 hours=5.4721 hours
