please solve this within an hour. no work is needed at all. Thanks

t 'W A mass of 100 grams of a particular radioactive substance decays according to the function m(t) = 100 e , where t>0 measures time in years. When does the mass reach 70 grams? The mass reaches 70 grams aftert= years. (Round to the nearest whole number as needed.) Simplify the complex rational expression. X+4 x + 13 X - 3 X+ 7 x + 67 x +4 X + 13 x - 3 x+ 7 (Type your answer in factored form.) x + 67\fThe population of a colony of mosquitoes obeys the law of uninhibited growth. Use this information to answer parts (a) through (c). E) (a) If N is the population of the colony and tis the time in days, express N as a function oft. Consider No is the original amount att= 0 and k# 0 is a constant that represents the growth rate. N0) = (Type an expression using t as the variable and in terms of e.) (b) The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there are 1900 after 1 day, what is the size of the colony after 4 days? Approximately mosquitoes (Do not round until the final answer. Then round to the nearest whole number as needed.) (c) How long is it until there are 30,000 mosquitoes? About days (Do not round until the final answer. Then round to the nearest tenth as needed.) t _ 900 Amass of 100 grams of a particular radioactive substance decays according to the function m(t) = 100 e , where t >0 measures time in years. When does the mass reach 70 grams? The mass reaches 70 grams aftert= years. (Round to the nearest whole number as needed.) Assume log X = 0.37, log by = 0.55, and log Z = 0.83. Evaluate. Wxy log b Z VXy E log b Z (Type an integer or a decimal.)Find and simplify each of the following for f(x) = 4x2 - 5x + 9. (A) 1\"(X + h) (B) f(x + h) f(x) f(x + h) - f(x) (C) h (A) f(x + h) = D (Do not factor.) (B) f(x + h) - f(x) = D (Do not factor.) f(x + h) - f(x (C) h ) = D (Do not factor.) Solve the equation on the interval 0 S B