Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Mathematics of radio engineering wikipedia , lookup
Abuse of notation wikipedia , lookup
Big O notation wikipedia , lookup
Law of large numbers wikipedia , lookup
History of logarithms wikipedia , lookup
Hyperreal number wikipedia , lookup
Positional notation wikipedia , lookup
Proofs of Fermat's little theorem wikipedia , lookup
Large numbers wikipedia , lookup
Real number wikipedia , lookup
Factorization wikipedia , lookup
Use rational exponents to simplify small 7 1 7 x 14 7 1 1 7 1 2 x14 x14 x Subtract. Simplify by collecting like radical terms if possible 5 48 -9 3 20 3 9 3 11 3 Use rational exponents to write small 3 (7 )*small 2 5 as a single radical expression. 1 3 1 7 2 5 73 52 Something is missing in this question Simplify by factoring Assume that all expressions under radicals represent non negative numbers Small 3 (32x^8 )= 32 x8 1 3 1 2 4 (x ) 3 2 3 1 x2 3 2 x2 4 x2 3 2 x2 3 4 x2 Add or subtract. Simplify by collecting like radical terms 4 2 -3 2+6 2= (4 3 6) 2 7 2 Solve )=5 the solution for y is 11. Find the length of side A in the right triangle, if B=12 and c=13 a= 132 122 25 5 Television sets. What does it mean to refer to a 20 in TV set or a 25-in TV set? Such units refer to the diagonal of the screen. A 30 in TV set also has a width of 24 inches. What is its height? Height = 302 242 900 576 324 18 inches = simplify by taking roots of the numerator and denominator. Assume all variables represent positive numbers 16 4 y2 y ^7= 13 3x 4 y 7 3x 4 y 7 Rewrite with rational exponents small 13 1 13 1 4 7 313 x13 y 13 Use the laws of exponents to simplify 5^(3/4)*5^(1/8)= simplify your answer 3 1 7 5 4 58 5 8 Multiply ( Simplify small 3 - )= 30 110 1 3 1 3 3 = 216 6 3 6 1 3 6 Multiply and simplify assume that all expressions under the radicals represent non negative numbers = 18x7 3x3 2 x Divide then simplify by taking root if possible 3 1 250 3 250 3 3 125 125 5 3 2 2 Subtract Simplify by collecting like radical terms if possible Assume that all expressions under radicals represent non negative numbers 1 - 1 1250 x3 3 10 x4 3 5x 10 x 3 x 10 x 3 4 x 10 x 3 4 x 3 10 x 1 1 1 Multiply and simplify by factoring 1 1 1 1 small 4 16* small 4 128= 16 4 128 4 2 2 8 4 4 8 4 4 4 8 Solve for y small 4 y-8 =2 1 1 4 1 1 1 1 2 Or, 8 2 2 2 y 2 y y 2 2 2 y Find the following. Assume that A and B can represent any real number small 418 (a+b)^ 418 =|a+b| Simplify 16^(3/2) = 64 Find the following. Assume that x can represent any real number. Use absolute value notation when necessary. =|2x| Multiply simplify the answer (7+ 5)(7- 5)=24 The formula r=2 5L can be used to approximate the speed r, in miles per hour, of a car that has left skid marks of length of L, in feet. How far will a car skid at 50 mph? IN Feet 50 5 5 L 25 5 L L 625 125 ft 5 Multiply ( 2+1)(7 2+1) the answer is ( 2 1)(7 2 1) 14 7 2 2 1 15 8 2