Sum of the terms of the series is
Sn = n/2 ( a1+an )
we have n= 6 , a1= 17, an = 57
so Sn = 6/2 ( 17+57) = 3(74) = 222
Angle x° and angle
154° are supplementary angles, meaning that they equal 180° when added.
Slope Formula - (y² - y¹) / (x² - x¹)
(1, 7)
x¹ = 1
y¹ = 7
(-4, -8)
x² = -4
y² = -8
-8 - 7 = -15
-4 - 1 = -5
Simplify - -15/-5
-15/5 = -3
Your answer is -3.
Hope this Helps!!
The answer is 4.5 l
To calculate this, we will use the Boyle's law using constant k, pressure P, and volume V:
PV = k
We can forget temperature since it is constant.
We have:
P1V1 = k
P2V2 = k
So, P1V1 = P2V2
P1 = 3 atm
V1 = 1.5 l
P2 = 1 atm
V2 = ?
_____
P1V1 = P2V2
3 atm * 1.5 l = 1 atm * V2
4.5 atm/l = 1 atm * V2
V2 = 4.5 atm l / 1 atm
V2 = 4.5 l