Which sequence of transformations on preimage abc will not produce the image a’b’c

a. reflection across the x-axis followed by a reflection across the y-axis

b. reflection across the y-axis followed by a rotation 90° clockwise about the origin

c. reflection across the line y= -x followed by a rotation 180° counterclockwise about the origin

d. rotation 180° clockwise about the origin followed by a reflection across the line y= -x

e. reflection across the line y = x

b

Step-by-step explanation:

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation:

ending amount = beginning amount / (2^n)

where "n" = number of half-lives (or elapsed time / half-life)

ending amount = 50 mg / (2 ^10 / 5.3)

ending amount = 50 mg / (2 ^ 1.8867924528)

ending amount = 50 m / 3.6981210597

ending amount = 13.5203794557 mg

or about 13.5 mg remain

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