Carmen has 60 cupcakes in her bakery case. • 1/2 of the cupcakes are chocolate.
• 1/4 of the cupcakes are strawberry.
• 1 /10 of the cupcakes are banana.
• The rest of the cupcakes are vanilla.
How many cupcakes are vanilla?
A. 51
B. 17
C. 3
D. 9
PLEASE SHOW WORK

According to modern science, earth is about 4.5 billion years old and written human history extends back about 10,000 years. suppose the entire history of earth is represented with a 10-meter-long timeline, with the birth of earth on one end and today at the other end.

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

Which of the following transformations will always produce a congruent figure?