Answer:

Step-by-step explanation:
Using the formula for the exponential decay that is
, we have N=
,
and k=0.1374.
Thus,
becomes



Taking log on both sides, we get




Answer:
P = 0.5Q - 20
Step-by-step explanation:
P = kQ + c
substitute Q = 60 , P = 10 into the equation
10 = 60k + c → (1)
substitute Q = 240, P = 100 into the equation
100 = 240k + c → (2)
subtract (1) from (2) term by term to eliminate c
90 = 180k ( divide both sides by 180 )
=
= 0.5 = k
substitute k = 0.5 into (1) and solve for c
10 = 60(0.5) + c
10 = 30 + c ( subtract 30 from both sides )
- 20 = c
then
P = 0.5Q - 20
Answer:

Step-by-step explanation:


























Answer:
x=19
Step-by-step explanation:
These two angles are alternate interior angles and alternate interior angles are equal when the lines are parallel
148 = 7x+15
Subtract 15 from each side
148-15 =7x+15-15
133 = 7x
Divide by 7
133/7 = 7x/7
19 =x
C) 12V2
12^2 + 12^2 = c^2
144 + 144 = 288
V288 = 12V2