The temperature of a room , y, is based on the number of hours the a/c is on , x. if the temperature is already 74 degrees and it drops/decreases by 3 degrees each hour, write an equation to represent ?

part b: what will the temperature be after 4 hours ?

part c: after how many hours is the temperature 50 degrees ?

Step-by-step explanation:

If the temperature is already 74 degrees and it drops/decreases by 3 degrees each hour, it means that the temperature I'd decreasing in an arithmetic progression.

The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = 74 degrees

d = - 3 degrees (it is decreasing)

Tn = temperature after n hours.

The equation becomes

Tn = 74 - 3(n - 1)

Part B

The temperature after 4 hours would be T4

T4 = 74 - 3(4 - 1) = 74 - 3 × 3

T4 = 65 degrees

Part C

50 = 74 - 3(n - 1)

50 = 74 - 3n + 3

3n = 74 + 3 - 50 = 27

n = 27/3 = 9 hours

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

9987

step-by-step explanation: