Answer:
slope=1/3
Step-by-step explanation:
the equation is in slope-intercept form (y=mx+b) and m always equals slope in that equation, so in your equation m=1/3, so slope=1/3
The angle between two vectors is:
CosФ = u - v / Magnitude(u) x magnitude(v)
Magnitude of u = SQRT(7^2 + -2^2) = SQRT(49 +4) = SQRT(53)
Magnitude of v = SQRT(-1^2 +2^2) = SQRT(1 +4) = SQRT(5)
u x v = (7 x -1) + (-2 x 2) = -7 + -4 = -11
cosФ = -11 / sqrt(53) x sqrt(5)
cosФ = -11sqrt265) / 265
Ф =cos^-1(-11sqrt265) / 265)
Ф=132.51 degrees.
Answer:
The value of f(30) is equal to 2.
Step-by-step explanation:
The given expression is :
We need to find the value of f(30)
Put x = 30 in above expression.
So,
Hence, the value of f(30) is equal to 2.
Hideki is draining a 45-gallon aquarium at a rate of 15 gallons per minute. Let's solve for the initial value of the linear function that represents thissituation.
=> 45 gallon aquarium at rate of 15 gallons per minute.
=> 45 gallon / 15 gallon = 3 minutes.
Therefore with the rate of 15 gallons per minutes, Hideki will be able to finish the 45 gallon aquarium in 3 minutes.
