Answer:
The quotient of a number to the fifth power and six.
Step-by-step explanation:
Step 1: Convert k⁵ into words
k⁵ = a number to the fifth power
Step 2: Convert / into words
/ = quotient
Step 3: Convert 6 into words
6 = six
Step 4: Combine
The quotient of a number to the fifth power and six.
Answer
She used 6/15 litres of oil in January
Explanation
We are given that, in January, she used 3/5 of the amount of oil she used in February.
We are also given that, she used 2/3 litres of oil in February.
Therefore, amount of oil used in January is:
3/5 • 2/3 = 6/15
She used 6/15 litres of oil in January
Answer:
y-6 = -3(x+1)
Step-by-step explanation:
The point-slope form of a line is the following:
y-yo = m(x-xo), where 'm' is the slope and (xo, yo) is any point where the line passes through.
In this case, m=-3 and (xo, yo) = (-1, 6).
Therefore: y-yo = m(x-xo) = y-6 = -3(x+1)
In conclusion, the point-slope form of the equation that represents the line that passes through the point (-1, 6) and has a slope of -3 is:
y-6 = -3(x+1)
T=2π/|b|. The period of an equation of the form y = a sin bx is T=2π/|b|.
In mathematics the curve that graphically represents the sine function and also that function itself is called sinusoid or sinusoid. It is a curve that describes a repetitive and smooth oscillation. It can be represented as y(x) = a sin (ωx+φ) where a is the amplitude, ω is the angular velocity with ω=2πf, (ωx+φ) is the oscillation phase, and φ the initial phase.
The period T of the sin function is T=1/f, from the equation ω=2πf we can clear f and substitute in T=1/f.
f=ω/2π
Substituting in T=1/f:
T=1/ω/2π -------> T = 2π/ω
For the example y = a sin bx, we have that a is the amplitude, b is ω and the initial phase φ = 0. So, we have that the period T of the function a sin bx is:
T=2π/|b|
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Step-by-step explanation:
