The equation of line n is 8x - 14y + 3 = 0. what is k if the graphs of n and kx - 7y + 10 = 0 are perpendicular?

Ascientist has discovered an organism that produces five offspring exactly one hour after its own birth, and then goes on to live for one week without producing any additional offspring. each replicated organism also replicates at the same rate. at hour one, there is one organism. at hour two, there are five more organisms. how many total organisms are there at hour seven? 2,801 19,531 19,607 97.655

Given that sin∅ = 1/4, 0 < ∅ < π/2, what is the exact value of cos∅? a. (√4)/4 b. (√15)/4 c. (4π)/2 d. (4√2)/4

The graph of y=x3 is transformed as shown in the graph below. which equation represents the transformed function?