Atoy manufacturer uses 90 pints of plastic to make 600 action figures. if they use 810 pints of plastic in an 8 hour shift, how many action figures are made per hour?

a) 600 action figures per hour

b) 625 action figures per hour

c) 650 action figures per hour

d) 675 action figures per hour

675(d)

Step-by-step explanation:so you take ratio

90-600

810-x

x=5400

After you divide 5400 by 8 hours and you get 675- to get how much figures he get for one hour

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b