Answer:
2.5 gallons of the 20% solution must be replaced by the 36% solution.
Step-by-step explanation:
Answer:
Ram studied for longer time
Step-by-step explanation:
An hour = 60 minutes
Raj studied for 4/7 of an hour
= 4/7 of 60 minutes
= 4/7 × 60
= (4×60)/7
= 240/7
= 24.29 minutes
ram studied for 5/8 of an hour
= 5/8 of 60 minutes
= 5/8 × 60
= (5×60)/8
= 300/8
= 37.5 minutes
who studied for longer time?
Ram - Raj
= 37.5 - 24.29
= 13.21 minutes
Ram studied for longer time
Ram studied 13.21 minutes longer than Raj
Answer:
f(-7)=0.
f(2)=-9/5.
f(3) doesn't exist because 3 isn't in the domain of the function.
Step-by-step explanation:
is the given function.
We are asked to find:
.
f(-7) means to replace x in the expression called f with -7:
Evaluate 
at 
So f(-7)=0.
f(2) means to replace x in the expression called f with 2:
Evaluate at 
So f(2)=-9/5
f(3) means to replace x in the expression called f with 3:
Evaluate at 
Division by 0 is not allowed so 3 is not in the domain of our function.
Well knowing that the terminal arm of the standard position angle is in quadrant 2, we can determine the reference angle, in quadrant 2, by simply taking the difference between 180 and whatever the angle is.
So ø reference = 180 - ø in standard position.
Regardless, the reference angle is in quadrant 2, we need to then label the sides of the reference triangle based on the opposite and hypotenuse.
Solve for adjacent side using Pythagoras theorem.
A^2 = C^2 - B^2
A^2 = 3^2 - 2^2
A^2 = 9 - 4
A^2 =5
A = sq root of 5.
Then write the cos ratio using the new side.
Cos ø =✔️5/3. Place a negative in front of cos ø as cos is negative in second quadrant.
