A box of cards contains 7 thank you cards, 4 birthday cards, 3 blank cards and 2 get well cards. What is the ratio of birthday cards to thank you cards?

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 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)

Adesigner charges a one time fee of $200 plus $40 an hour for each project. write an expression to represent how much money the designer will make for a project

Patty made a name tag in the shape of a parallelogram. reilly made a rectangular name tag with the same base and height. explain how the areas of the name tags compare.