20 pts! ? trig

if sec(a) = 3/2 and < a is in the quadrant i, what is the value of tan(x)?

a. 2sqrt5 /3

b. sqrt5 /3

c. sqrt5 /2

d. 3sqrt5 /2

give me a short or long explanation on how to solve this if you can .

Colby and jaquan are growing bacteria in an experiment in a laboratory. colby starts with 50 bacteria in his culture and the number of bacteria doubles every 2 hours. jaquan starts with 80 of a different type of bacteria that doubles every 3 hours. let x equal number of days. colbys experiment follows the model: a.) y=50*2^x b.) y=50*2^8x c.) y=50*2^12x jaquans experiment follows the model: a.)80*2^x b.)80*2^8x c.)80*2^12x

Drag each tile into the correct box. not all tiles will be used. find the tables with unit rates greater than the unit rate in the graph. then tenge these tables in order from least to greatest unit rate

Type the correct answer in each box. spell all words correctly. a sequence of transformations maps ∆abc onto ∆a″b″c″. the type of transformation that maps ∆abc onto ∆a′b′c′ is a . when ∆a′b′c′ is reflected across the line x = -2 to form ∆a″b″c″, vertex of ∆a″b″c″ will have the same coordinates as b′.