The Fan Cost Index (FCI) represents the cost of four average-price tickets, refreshments, and souvenirs to a sporting event. The FCIs for an independent tennis league and an independent hockey league totaled \( \$ 127.94 \). The hockey FCI was \( \$ 8.36 \) more than that of tennis. What were the FCIs for these sports? The FCI for tennis was \( \$ \square \) and the FCI for hockey was \( \$ \square \).

3. (a) 12 th term of an \( \mathrm{A} . \mathrm{P} \) is 12 more then sixth term and their sum is 38 . Find the Arithmetic Progression.

Risolvi l'equazione: \( |x| = 7 \) e trova i possibili valori di x.

Transpose \( V=\frac{1}{3} \pi r^{2} h \) for \( h \)

5. \( |x|=10 \)

Write out in full and verify the statements \( S_{1}, S_{2}, S_{3}, S_{4} \), and \( S_{5} \) for the follow \( 18+54+90+\cdots+(36 n-18)=18 n^{2} \) \( 18+54+90+126+162=\square \) (Do not simplify.) Are \( S_{1}, S_{2}, S_{3}, S_{4} \), and \( S_{5} \) true statements? No Yes Which of the following is the next step of the proof? A. Show that \( S_{k+1} \) is true. B. Show that if \( S_{k} \) is true, then \( S_{k+1} \) is true. C. Show that \( S_{n} \) is true. O D. Show that if \( S_{k+1} \) is true, then \( S_{k} \) is true. Write the statement \( S_{k} \) and \( S_{k+1} \).