A recycling plant recycled 4.9 kg of paper and cardboard the first hour and 7.8 kg/h afterwards. The plant runs for 8 hours. What is the range of the function?

R = {0kg, 59.5kg}

Step-by-step explanation:

When we have a function f(x) = y.

The set of the possible values of x is called the domain of the function, and the set of the possible values of y is called the range of the function,

In this case, we have that:

the plant recycled 4.9kg the first hour, and 7.8 kg per hour after.

So this function can be written as piecewise function, with one part for the first hour, and another part for the time after the first hour.

F(x) = 4.9kg*x if 0h < x ≤ 1h

F(x) = 4.9kg + 7.8kg/h*(x -1) if x ≥ 1h

We use (x - 1) for the second part because if  x = 1 h, we must have the same result in both parts of the function.

Where x is the number of hours.

And we know that the domain is (0hours, 8 hours)

Then the minimum value of y will be:

F(0h) = 4.9kg*0h = 0kg.

And the maximum value in the range will be:

F(8h) = 4.9kg + 7.8kg*7  = 59.5kg

Then the range is:

R = {0kg, 59.5kg}

step-by-step explanation:

i found the life tables for the year 2012. 

life table of males at age 30. probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old. 

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

                                          probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497

hello, sorry being so rude after all that fighting i found it kind of funny, so as me saying sorry here is an answer!

since the table showed her that   2km = 2000m.

to determine, how many km in 2000m, she would divide by 1000.

= 2000 / 1000 = 2 km.

similarly, for 8000m = 8000 / 1000 = 8 km

cheers to savings

~

your pal papaguy