Over a 24-hour period, the tide in a harbor can be modeled by one period of a sinusoidal function. The tide measures 5 ft at midnight, rises to a high of 9 ft, falls to a low of 1 ft, and then rises to 5 ft by the next midnight. What is the equation for the sine function f(x), where x represents time in hours since the beginning of the 24-hour period, that models the situation?

Enter your answer in the box.

y = 4sin( π/12) + 5

Step-by-step explanation:

For a sinusidal function :

y = Asin(w + c) + s

Where ; A = amplitude ; w= angular velocity, s = vertical Displacement, c = phase angle

A = (maximum - minimum) / 2

A = (9 - 1) /2 = 8/2 = 4 feets

w = 2π/T ; T = 24

w = 2π/24 = π/12

s = (maximum - minimum) / 2

s = (9 +1) /2 = 10/2 = 5

c = 0

Plugging our values into the general equation :

y = Asin(w + c) + s

y = 4sin( π/12) + 5

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

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.