4 4 5 9

All 100 targets have a solution.

\(1 = 5 \cdot 9 - 44 \)
\(2 = \sqrt{49 - 45 }\)
\(3 = \frac{ 45 }{ 9 } - \sqrt{4 }\)
\(4 = 49 - 45 \)
\(5 = 54 - 49 \)
\(6 = \sqrt{49} + 4 - 5 \)
\(7 = \sqrt{94 - 45 }\)
\(8 = \sqrt{49} - 4 + 5 \)
\(9 = \frac{ 45 }{ 9 } + 4 \)
\(10 = \frac{ 54 }{ 9 } + 4 \)
\(11 = \frac{ 44 }{ 9 - 5 }\)
\(12 = 45 - 4! - 9 \)
\(13 = \frac{ 44 - 5 }{ \sqrt{9 } }\)
\(14 = \frac{ 54 }{ \sqrt{9} } - 4 \)
\(15 = 59 - 44 \)
\(16 = \sqrt{44 + 5} + 9 \)
\(17 = 49 - \sqrt{4}^{5 }\)
\(18 = 54 - 4 \cdot 9 \)
\(19 = 4! - \frac{ 45 }{ 9 }\)
\(20 = \frac{ 45 \cdot 4 }{ 9 }\)
\(21 = \sqrt{( 44 + 5 ) \cdot 9 }\)
\(22 = \frac{ 44 }{ 5 - \sqrt{9 } }\)
\(23 = \sqrt{49} \cdot 4 - 5 \)
\(24 = ( 49 - 45 )!\)
\(25 = ( \frac{ 45 }{ 9 } )^{\sqrt{4 }}\)
\(26 = 4! \cdot 5 - 94 \)
\(27 = \frac{ 45 + 9 }{ \sqrt{4 } }\)
\(28 = 5! - ( 94 - \sqrt{4 } )\)
\(29 = 49 - 4 \cdot 5 \)
\(30 = 44 - 5 - 9 \)
\(31 = \sqrt{49} \cdot 5 - 4 \)
\(32 = 45 - 4 - 9 \)
\(33 = 45 - 4 \cdot \sqrt{9 }\)
\(34 = 45 - \sqrt{4} - 9 \)
\(35 = ( 4 \cdot 4 - 9 ) \cdot 5 \)
\(36 = 44 - 5 - \sqrt{9 }\)
\(37 = 4 \cdot 4! - 59 \)
\(38 = 45 - \sqrt{49 }\)
\(39 = 45 - \sqrt{4 \cdot 9 }\)
\(40 = 94 - 54 \)
\(41 = 54 - 4 - 9 \)
\(42 = 44 - 5 + \sqrt{9 }\)
\(43 = 59 - 4 \cdot 4 \)
\(44 = 45 - 4 + \sqrt{9 }\)
\(45 = ( 4 - \sqrt{9} ) \cdot 45 \)
\(46 = 44 + 5 - \sqrt{9 }\)
\(47 = 54 - \sqrt{49 }\)
\(48 = 44 - 5 + 9 \)
\(49 = 94 - 45 \)
\(50 = 45 - 4 + 9 \)
\(51 = 95 - 44 \)
\(52 = 45 + \sqrt{49 }\)
\(53 = 54 - 4 + \sqrt{9 }\)
\(54 = ( 4 - \sqrt{9} ) \cdot 54 \)
\(55 = ( \sqrt{49} + 4 ) \cdot 5 \)
\(56 = 45 + \sqrt{4} + 9 \)
\(57 = 4 \cdot \sqrt{9} + 45 \)
\(58 = 44 + 5 + 9 \)
\(59 = 54 - 4 + 9 \)
\(60 = \frac{ 4 }{ 4 } + 59 \)
\(61 = \sqrt{49} + 54 \)
\(62 = 94 - \sqrt{4}^{5 }\)
\(63 = \sqrt{44 + 5} \cdot 9 \)
\(64 = \sqrt{4}^{\frac{ 54 }{ 9 }}\)
\(65 = 54 + \sqrt{4} + 9 \)
\(66 = ( 9 - 4 )! - 54 \)
\(67 = 54 + 4 + 9 \)
\(68 = ( 9 - 5 )! + 44 \)
\(69 = 4 \cdot 5 + 49 \)
\(70 = \sqrt{49 \cdot 4} \cdot 5 \)
\(71 = 4! \cdot 5 - 49 \)
\(72 = ( 45 - 9 ) \cdot \sqrt{4 }\)
\(73 = 5! - 44 - \sqrt{9 }\)
\(74 = 94 - 4 \cdot 5 \)
\(75 = 4 \cdot 4 + 59 \)
\(76 = 49 \cdot 4 - 5 !\)
\(77 = ( 4 + 4 ) \cdot 9 + 5 \)
\(78 = 45 + 4! + 9 \)
\(79 = 95 - 4 \cdot 4 \)
\(80 = \frac{ ( \frac{ 4 }{ 4 } + 5 )! }{ 9 }\)
\(81 = 4 \cdot 9 + 45 \)
\(82 = \sqrt{\frac{ 9! }{ 54 } + 4 }\)
\(83 = \sqrt{4 \cdot 4}! + 59 \)
\(84 = 94 - \sqrt{4} \cdot 5 \)
\(85 = 94 - 4 - 5 \)
\(86 = 9^{4 - \sqrt{4}} + 5 \)
\(87 = 95 - 4 - 4 \)
\(88 = ( 5 - \sqrt{9} ) \cdot 44 \)
\(89 = 5 \cdot 9 + 44 \)
\(90 = 4 \cdot 9 + 54 \)
\(91 = 94 + \sqrt{4} - 5 \)
\(92 = 5! - \sqrt{49} \cdot 4 \)
\(93 = 94 + 4 - 5 \)
\(94 = 45 + 49 \)
\(95 = 94 - 4 + 5 \)
\(96 = \frac{ 4 }{ 4 } + 95 \)
\(97 = 94 - \sqrt{4} + 5 \)
\(98 = ( 5 \cdot 9 + 4 ) \cdot \sqrt{4 }\)
\(99 = 45 \cdot \sqrt{4} + 9 \)
\(100 = ( 9 - 4 ) \cdot 4 \cdot 5 \)