A bird is flying at \( 36.0 \mathrm{~m} / \mathrm{s} \) in the y-direction. The wind is blowing at \( 15.5 \mathrm{~m} / \mathrm{s} \) in the x-direction. What is the magnitude of the velocity of the bird?

o) \( \lim _{n \rightarrow+\infty} \frac{\sqrt{n-\frac{1}{n}}-\sqrt{n}}{\left(e^{1 / n}-1\right)^{3 / 2}} \)

Prove that \( \triangle F G H \cong \triangle J K L \) are congruent \( \begin{array}{l}F(4,6) G(5,7) H(7,4) \\ J(1,-4) K(2,-5) L(4,-2)\end{array} \)

A sprinter runs around a 400 m running track twice (distance \( =800 \mathrm{~m} \) ). They start in lane 1 and finish in lane 1 (start and finish in the same position). They complete the run in 2 min 20 sec . Calculate their average velocity (not speed!) and include the unit \( (\mathrm{m} / \mathrm{s}) \) ?

Soumik has \( \$ 5 \) less than Kofi. If they have \( \$ 97.50 \) altogether, how much does each person have?

Math on the Spot Sophia uses \( 3 \frac{3}{4} \) cups-bf flour for each cake she makes. She has a 10 -pound bag of flour that cost \( \$ 8.79 \) and contains 152 quarter-cup servings. A. How many cakes can Sophia make with this flour? B. Use your answer from Part A to find the cost of the flour for each cake Round your answer to the nearest cent.