310 CHAPTER 6 Algebra, Graphs, and Functions Exercises Warm Up Exercises In Exercises 1 and 2, fill in the blank with an appropriate word, phrase, or symbol(s). 1. Numbers or letters that are placed below and to the right of variables are called ___________. Subscripts 2. An equation that typically has a real-life application is called a(n) ___________ . Formula Practice the Skills In Exercises 3–30, use the formula to determine the value of the indicated variable for the values given. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth. 3. A lw; = determine A when l 13 = and = w 7. (geometry) 91 4. V lwh; = determine V when l 14, = w 4.5 = and h 8. = (geometry) 504 5. P l w 2 2 ; = + determine P when l 15 = and w 8 = (geometry). 46 6. A lw wh lh 2 2 2 ; = + + determine A when = = l w 2, 3, = and h 4 (geometry). 52 7. F ma; = determine m when F 40 = and a 5 = (physics). 8 8. p i r; 2 = determine r when p 62,500 = and i 5 = (electronics). 2500 9. A rh r 2 2 ;2 π π = + determine A when = = r h 2, and 3 (geometry). 62.83 10. A R r ; 2 2 π( ) = − determine A when R 5 = and = r 4 (geometry). 28.27 11. K mv 1 2 ;2 = determine m when K 4500 = and v 30 = (physics). 10 12. v v v 2 ; 0 = + determine v when v 8 = and v 3 0 = (physics). 13 13. T PV k ; = determine P when T V 80, 20, = = and k 0.5 = (physics). 2 14. P kAT l ; = determine k when P A T 35, 14, 2, and = = = l 4 = (physics). 5 15. V at 1 2 ;2 = − determine a when V 2304 = and t 12 = (physics). −32 16. A h b b 1 2 ; 1 2 ( ) = + determine h when A 36, = b 4, 1 = and b 8 2 = (geometry). 6 17. V r h; 2 π = determine h when V 942 = and r 5 = (geometry). 11.99 18. V r h 1 3 ; 2 π = determine h when V 47.10 = and r 3 = (geometry). 5.00 19. = + F C 32; 9 5 determine F when C 7 = (temperature conversion). 44.6 20. = − C F( 32); 5 9 determine C when F 77 = (temperature conversion). 25 21. m y y x x ; 2 1 2 1 = − − determine m when y 8, 2 = y 4, 1 = − x 3, 2 = − and x 5 1 = − (mathematics). 6 22. m y y x x ; 2 1 2 1 = − − determine m when x y x 7, 3, 4, 1 1 2 = = − = − and y 3 2 = (mathematics). − 6 11 23. x b b ac a 4 2 ; 2 = − + − determine x when a 2, = b 5, = − and c 12 = − (mathematics). 4 24. x b b ac a 4 2 ; 2 = − − − determine x when a b 2, 5, = = − and c 12 = − (mathematics). − 3 2 25. s t v t s 16 ; 2 0 0 = − + + determine s when t v 4, 30, 0 = = and s 150 0 = (physics). 14 26. c a b ; 2 2 = + determine c when a 5 = and b 12 = (geometry). 13 27. P nRT V ; = determine R when P n T 63, 27, 2, = = = and V 6 = (chemistry). 7 28. P nRT V ; = determine T when P n R 81, 15, 18, = = = and V 10 = (chemistry). 3 SECTION 6.2
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