Answer:
Option D
Step-by-step explanation:
The response variable is also known as the dependent variable. It depends on another factor which is the independent variable to cause change/ response to it.
In this study, they want to test if an increase in the number of Math workshop which is the independent variable will cause a change in the final exam scores which is the dependent variable. The response to this inquiry is thus the final exam score which is also known as the response variable.
<span>1. a sine curve with amplitude 2, and period 4pi radians
</span>
the general equation of the sine curve ⇒⇒ y = a sin (nθ)
where: a is the amplitude and n = 2π/perid
∵ <span>amplitude 2, and period 4pi radians
</span>
∴ y = 2 sin (θ/2)
The correct answer is option D. y = 2 sin (θ/2)
===========================================
<span>2.The period and amplitude of the function ⇒⇒ y = 5 cos 2θ
</span>
<span>comparing with y = a cos nθ
</span>
where : a is the amplitude and n = 2π/period
<span>amplitude = 5 , period = 2π/n = 2π/2 = π
</span>
The correct answer is option B. Period: pi radians: Amplitude:5
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3. tan (2π/3) = tan 120° = -√3
120° lie in the second quadrant and its reference angle = 180° - 120° = 60°
tan function in the second quadrant is negative
∴ tan 120° = - tan 60 = -√3
The correct answer is C. -sqrt3
=====================================================
4. <span>Tan 5π/6 = tan 150° = -(√3)/3
</span>
150° lies in the second quadrant and its reference angle = 180° - 150° = 30°
tan function in the second quadrant is negative
∴ tan 150° = - tan 30 = -(√3)/3
The correct answer is <span>B.-sqrt3/3</span>
Answer:
Positive and negative intervals on a graph
Step-by-step explanation:
The positive regions of a function are those intervals where the function is above the x-axis. It is where the y-values are positive (not zero). The negative regions of a function are those intervals where the function is below the x-axis. It is where the y-values are negative (not zero). hope this helps you :)
Answer:
80%
Step-by-step explanation:
I'm assuming you want the average of the class.
62 + 78 + 83 + 84 + 93
= 400
400/5
= 80
Therefore Victor's overall test score is 80%
Answer:
Option A
Step-by-step explanation:
22+(-32) is the same thing as 22-32.
<h3>Let's see if the given options are equal:</h3>
Option A:
Option A's expression has the same value as the expression given.
Option B:
22+(22)+(-10)
Option B's expression does not have the same value as the expression given.
Option C:
Option C's expression does not have the same value as the expression given.
Option D:
Option D's expression does not have the same value as the expression given.
<h3>The correct answer should be A: 22+(-22)+(-10).</h3>
