30 points!
the work of a student to find the dimensions of a rectangle of area 8 + 12x and width 4 is shown below:
step 1: 8 + 12x
step 2: 4(4) + 4(8x)
step 3: 4(4 + 8x)
step 4: dimensions of the rectangle are 4 and 4 + 8x
in which step did the student first make an error and what is the correct step? step 2; 4(2) + 4x(2)
step 2; 4(2) + 4(3x)
step 3; 4 + (4 + 8x)
step 3; 4 + (4 ⋅ 8x)

In new york city at the spring equinox there are 12 hours 8 minutes of daylight. the longest and shortest days of the year very by two hours and 53 minutes from the equinox in this year the equinox falls on march 21 in this task you use trigonometric function to model the hours of daylight hours on certain days of the year in new york city a.what is the independent and dependent variables? b.find the amplitude and the period of the function. c.create a trigonometric function that describes the hours of sunlight for each day of the year. d. graph the function you build in part c. e. use the function you build in part c to find out how many fewer daylight hours february 10 will have than march 21. you may look at the calendar.

Campus rentals rents 2 and 3 bedrooms apartments for $700 ans $900 a month respectively. last month they had six vacant apartments and reported $4600 in lost rent. how many of each type of apartment were vacant?

Amira is painting a rectangular banner 2 1/4 yards wide. the banner will have a blue background. amira has enough paint to cover 1 1/2 square yards of the wall. the school colors are blue and yellow, so amira wants to add yellow rectangles on the left and right sides of the blue rectangle. the yellow rectangles will each be 3/4 yards wide and the same height as the blue rectangle. what will be the total area of the two yellow rectangles?