On Dolphin Beach, the high tide is 1.8 meters and only occurs at 12 a. m. and 12 p. m. The low tide is 0.4 meter and only occurs at 6 a. m. and 6 p. m.

Which function models the height of the tide t hours after 12 a. m.?

h(t)=0.7sin(πt/6)+1.1

h(t)=1.1sin(πt/3)+0.7

h(t)=0.7cos(πt/6)+1.1

h(t)=1.8cos(πt/3)+0.4

the answer is the third / last answer

step-by-step explanation:

answer: on kudzu, being female and being green are independent events.

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form