The following equation is used in meteorology to determine the temperature humidity index t= 2/5(w+80)+15, where w represents the wet-bulb thermometer reading. for what values of w would t range from 85 to 95?

The value of w is lie from 95 to 120.

Step-by-step explanation:

The temperature humidity index is given by the equation

where w represents the wet-bulb thermometer reading.

We have to find the values of w for which T range from 85 to 95.

Subtract 15 from all the sides.

Multiply all sides by 5.

Subtract 160 from all the sides.

Divide all sides by 2.

Therefore the value of w is lie from 95 to 120.

the total estimated nappy use.=10,500,000

step-by-step explanation:

given that on an average the average baby uses 3528 napkins.

in a particular year 2014, the number of births were 299697 in new south wales.

rounding off the number of births to the nearest hundred thousand we have

no of birtsh = 300000

also rounding off the average usage to nearst thousand we get

average use of a baby = 3500

hence total number of nappy estimated to be used = 3500x300000

= 10,500,000

answer is 10,500,000 nappies

since we know that the two functions are equal, f (x) = g

(x), therefore when we equate the two equations the result should be similar to

3x = x – 4:

a. f(x) = 3x, g(x) = x – 4

equating the two functions:

3x = x – 4             (correct)

so we now got our answer (a)