The position function of a spaceship is r(t) = (6 + t) i + (2 + ln(t)) j + 9 − 4 t2 + 1 k and the coordinates of a space station are (9, 4, 11). The captain wants the spaceship to coast into the space station. When should the engines be turned off?

Find and simplify an expression for the area of five rows of x squares with side lengths of x centimeters.

Christina can paint 420 square feet in 105 minutes. which unit rate describes the scenario?

Girardo is using the model below to solve the equation . girardo uses the following steps: step 1 add 4 negative x-tiles to both sides step 2 add 1 negative unit tile to both sides step 3 the solution is which step could be adjusted so that gerardo's final step results in a positive x-value? in step 1, he should have added 4 positive x-tiles to both sides. in step 1, he should have added 3 negative x-tiles to both sides. in step 2, he should have added 4 negative unit tiles to both sides. in step 2, he should have added 1 positive unit tile to both sides.