1-7.[3] prove the correctness of the following recursive algorithm to multiply two natural numbers, for all integer constants c ≥ 2.function multiply(y, z)comment return the product yz.1. if z = 0 then return(0) else2. return(multiply(cy,⌊z/c⌋) + y • (z mod c))

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem

The mean finish time was 185.52 with a standard deviation of 0.327 minute. the winning car driven by chris finished in 185.13. the previous year race had a mean finish time of 110.3 with a standard deviation of 0.106. the winning car that year driven by karen finished in 110.13 minutes. find their respective z-scores. chris - z-score karen “- z-score

If $190 is invested at an interest rate of 11% per year and is compounded continuously, how much will the investment be worth in 4 years? use the continuous compound interest formula: a = pert