Answer:
No
Step-by-step explanation:
Start by using the distributive property to simplify 8(1/4x+3/4):
8•1/4x=2x
8•3/4=6
The equation now reads: 2x+6-3=17. Subtract 3 from six and you get 2x+3=17.
You can now proceed to answer this like any two step linear equation.
2x+3=17
-3 -3
2x=14
x=7
7 is the solution to this equation
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3 but in most cases it is 2 real roots and one root has a multiplicity of 2
Answer:
Line CD
Step-by-step explanation:
linear function; growth factor of 4
Answer:
Q(t) = Q_o*e^(-0.000120968*t)
Step-by-step explanation:
Given:
- The ODE of the life of Carbon-14:
Q' = -r*Q
- The initial conditions Q(0) = Q_o
- Carbon isotope reaches its half life in t = 5730 yrs
Find:
The expression for Q(t).
Solution:
- Assuming Q(t) satisfies:
Q' = -r*Q
- Separate variables:
dQ / Q = -r .dt
- Integrate both sides:
Ln(Q) = -r*t + C
- Make the relation for Q:
Q = C*e^(-r*t)
- Using initial conditions given:
Q(0) = Q_o
Q_o = C*e^(-r*0)
C = Q_o
- The relation is:
Q(t) = Q_o*e^(-r*t)
- We are also given that the half life of carbon is t = 5730 years:
Q_o / 2 = Q_o*e^(-5730*r)
-Ln(0.5) = 5730*r
r = -Ln(0.5)/5730
r = 0.000120968
- Hence, our expression for Q(t) would be:
Q(t) = Q_o*e^(-0.000120968*t)
