Use the graph to write an equation
y = acos[b(x – h)] + k to model the situation.

b options are pi/12, pi/6, and pi/3

answer:

step-by-step explanation:

given equation   y = acos[b(x – h)] + k to model the situation,

the graph crosses y=24 at x=0 and x=10.

so that represents half a cycle of the cosine function.

the amplitude is defined as the difference between peak and baseline of a function. peak is at y=80 and baseline is y=24

the amplitude is 80-24 = 56

the cosine function's range is -1 to 1

so a = amplitude = 56

because a half-cycle is 10-0 = 10 months, a full cycle is 2*10 = 20 months.

the period = 20

2pi/b = 20

b = pi/10

if the options for b are as listed, then pi/12 is the closest answer.

there has been genes found in the x chromosome of males that have been linked to [homo/hetero]sexuality. in addition to the reign of the x chromosome, a section of chromosome 8 has also been link to, "alot of ppl are so " these facts were proven true after a 2014 study of a gay male and his strait brother. according to newscientist.com,"chromosome 14 and is mainly active in the thyroid, but also the brain. called tshr, it makes a type of receptor protein that recognises and binds to a hormone that stimulates the thyroid. in this way, the gene plays an important role in controlling thyroid function. the fact that tshr seems to be involved in sexual orientation fits with evidence that thyroid function seems to be linked to sexuality."

in conclusion, "ppl are so gay" due to their genetics.