at the beginning of an observational study, a culture contains 6,000 bacteria. after three hours, there are 9,500 bacteria. if the bacteria grow exponentially, janice claims that there will be over 200,000 bacteria 20 hours after their population reached 9,500. is janice correct? justify your answer.

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

hey there : ) your answer would be a.

step-by-step explanation:

the answer for the second equation is (4,0)

the answer is  

c.

14,469 cubic feet

i know this one is right