Answer:
a) d = 3 b) a(n) = 3n – 13 c) a(27) = 68
Step-by-step explanation:
solutions are (x, y) = (29,13) and (9349, 4181), which lead to (a, b) = (15,5) and (4895 ... corresponding to integer values of x give the quadruples. (x, y, z ... Since no number congruent to 3, modulo 4, can be written as the sum of two squares ... k is odd, the equation x2 - (k2 - 4)y2 = 4 has smallest solution in positive integers .
Answer:
1. c = 13
2. a = 20
Step-by-step explanation:
1. 12² + 5² = x²
144 + 25 = x
144 + 25 = 169
√169 = 13
2. 29² - 21² = x²
841 - 441 = x
841 - 441 = 400
√400 = 20
Answer:
79 °F
Step-by-step explanation:
Newton’s Law of Cooling:

Data
- The initial temperature of a liquid is 160 °F
- The temperature in the room (c) is 76 °F
- Then a = 160 - 76 = 84 °F
Replacing into the equation:

y = 79 °F