At the metal-casting company where you work, you must set up a conveyor system to move castings from the furnace to the heat treatment area 55 yards away. the castings cool at the rate of 0.3°f (degrees fahrenheit) per second and must not be allowed to cool more than 7°f before being heat treated. what is the minimum speed, in feet per second, that the conveyor must move?

the minimum speed, in feet per second, that the conveyor must move is 7.07143 ft/sec

Step-by-step explanation:

Let's assume time it takes to cool is 't' seconds

so, we are given

The castings cool at the rate of 0.3°F (degrees Fahrenheit) per second

so, total change in temperature will be

must not be allowed to cool more than 7°F before being heat treated

so, that temperature must be equal to 7

now, we can solve for t

sec

now, we are given length of casting is 55 yards

so, firstly we will change it into ft

1 yard =3 ft

so,

so, we have

total length =55 ft

now, we can use speed formula

we can plug values

so, speed is 7.07143 ft/sec

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.