Because the values of both functions is 0 at ∅ = 0, both have an equilibrium position of 0.
Next, we can use the given value of f(∅) to find the amplitude:
4 = Asin(π/4)
4 = A(√2 / 2)
A = 8 / √2
We halve this amplitude to find the amplitude of g(∅):
A = 4 / √2
The period is 2π/2 = π
g(∅) = 4sin(∅/2) / √2
Answer:
100
Step-by-step explanation:
The function takes in an X value and produces a Y value.
The Y value equals 24 times the X value plus 4 more.
This means that:
Y = 24X + 4
When the X value equals 4, the Y value will be:
Y = 24(4) + 4
Y = 96 + 4
Y = 100
When the X value is 4, the Y value is 100.
Since there are 6 students out of which one needs to be selected, the principal chose two die on which there are six numbers each numbered from 1 , 2, 3, 4, 5, 6.
Since there are two dice, the total possible outcome is 36.
Hence, the probability of getting one number each is 1/36
Hence, the principal used a fair method because each result is an equally likely possible outcome.
Option B is correct.
we are given
airthematic sequence
we can use nth term formula
n is number of terms
an is nth term
d is common difference
a1 is first term
We are given
a7=40
we can use it
a18 = 106
we can subtract both equations
now, we can find a1
we can plug d=6
12th term:
now, we can plug values
so, 12th term is 70...........Answer
The volume of a rectangular prism:
substitute
The volume of a cylinder:
substitute:
Answer: C. The cylinder has the greater volume.
