Answer:
The value of c = -0.5∈ (-1,0)
Step-by-step explanation:
<u>Step(i)</u>:-
Given function f(x) = 4x² +4x -3 on the interval [-1 ,0]
<u> Mean Value theorem</u>
Let 'f' be continuous on [a ,b] and differentiable on (a ,b). The there exists a Point 'c' in (a ,b) such that
<u>Step(ii):</u>-
Given f(x) = 4x² +4x -3 …(i)
Differentiating equation (i) with respective to 'x'
f¹(x) = 4(2x) +4(1) = 8x+4
<u>Step(iii)</u>:-
By using mean value theorem
8c+4 = -3-(-3)
8c+4 = 0
8c = -4
c ∈ (-1,0)
<u>Conclusion</u>:-
The value of c = -0.5∈ (-1,0)
<u></u>
It is 1,6 dollars for each pendant :)
Answer: 5 gallons
Step-by-step explanation:
First, we need to know how many miles we can get by on a gallon of gas. To find this, we need to divide 378 miles by 9 gallons.
378/9 = 42
42 miles per gallon.
Now, we need to find how many gallons of gas it will take Abigail to travel 210. To find this, we simply divide 210 by 42.
210/42 = 5
It will take Abigail 5 gallons of gas to travel 210 miles.
Answer:
66 units
Step-by-step explanation:
Answer:
94.5 days
Step-by-step explanation:
We are asked to calculate the time.
The formula to calculate the time for half life =
t = t½ × In (Nt/No)/-In2
t½ = half life = 16 days
No = Initial substance = 120mg
Nt = Amount of substances after time t = 2 mg
t = 16 × In (2/120)/-In2
t = 94.510249529736 days
Approximately = 94.5 days
Therefore, the time it would take for the substance to decay from 120mg to 2 mg is 94.5 days.
