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3 years ago

(WILL DO BRAINLIST)

Mathematics

1 answer:

Lynna [10]3 years ago

6 0

You have a function $y= \dfrac{3}{2} \left(1+\sin \left(\dfrac{2t+1}{2}\cdot \pi\right) \right)$ .
Since the range of the function $y=\sin x$ is $[-1,1]$ you have that

$-1\le \sin \left(\dfrac{2t+1}{2}\cdot \pi\right)\le 1 \\ 0\le 1+\sin \left(\dfrac{2t+1}{2}\cdot \pi\right) \le 2 \\ 0\le \dfrac{3}{2} \left(1+\sin \left(\dfrac{2t+1}{2}\cdot \pi\right) \right)\le 3$ .
Answer: The range of given function is [0,3] and the correct choice is C.

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Answer: The response variable = Volume

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Step-by-step explanation:

Important definitions:

The explanatory variable is a type of independent variable manipulated by the experimenter for the ongoing experimental study.
The response variable is a type of dependent variable which depends on the explanatory values provided by the experimenter.

Given: A forester wishes to predict the volume (in cubic feet) of usable lumber in a certain species of tree using the height (in feet) and diameter (in inches) of the trees.

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