In the coming year, a vehicle manufacturer has decided to manufacture 150 vehicles per day. the function v = 150d represents the company’s production for the coming year, v, with respect to the number of days, d.

the rate of change of the function representing the number of vehicles manufactured for the coming year , and its graph is . so, the function is function.

first blank options: constant, not constant

second blank options: straight line, curve

third blank options: decreasing, linear, nonlinear

Not constant,straight line,linear

Step-by-step explanation:

Given that in the coming year, a vehicle manufacturer has decided to manufacture 150 vehicles per day.

v=150d, where v = production of vehicles and d  =no of days

Rate of change = v' =150

(because each day increase results in 150 vehicles more)

Since increasing this is an increasing function.

Since both v and d have degree 1 in the equation we have

this is a linear or a straight line.

Hence the answers are:

he rate of change of the function representing the number of vehicles manufactured for the coming year is__Not constant , and its graph is a__straight line . So, the function is a___linear function.  

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2