<u>Answer:</u>
<u>Step-by-step explanation:</u>
We are given that the price of gas started at $2.25 and increased at a rate of 4% per year.
We are to write a function which models this situation using numerical values of A and r into the expression.
A = $2.25
r = 4%
Assuming x to be the time in years, the function would be:
<u></u>
A sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 90° counterclockwise about the origin followed by a translation two units right.
<h3>What is the sequence of transformations?</h3>The sequence of vertices ABC(DEF in this question) is clockwise, as is the sequence of A'B'C'(D'E'F in this question). Thus, an even number of reflections is involved, if any reflections are involved. The offered choices do not include suitable reflections.
The orientation of AB(DE) is toward the right. The orientation of A'B'(D'E') is up, so there must be a rotation of 90° CCW. Rotation of 90° CCW about the origin will leave the figure in a position that is 2 units left of where it is shown. The rotation must be followed by a translation 2 units to the right.
Thus, we conclude that a sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 90° counterclockwise about the origin followed by a translation two units right.
Read more about Sequence of Transformations at; brainly.com/question/4289712
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The software rendering this question really butchered it... I think it's saying the displacement vector for the particle is
Differentiate twice with respect to time to get the velocity and acceleration vectors, respectively:
Then at , the acceleration of the particle is
which most closely resembles the first choice.