Answer:
2998 ; 17%
Step-by-step explanation:
Given the function:
t(c)=-3970.9(ln c)
c = % of carbon remaining ; t = time
1.) c = 47% = 47/100 = 0.47
t(0.47) = - 3970.9(In 0.47)
t = - 3970.9 * −0.755022
t = 2998.119
t = 2998
B.)
t = 7000
t(c)=-3970.9(ln c)
7000 = - 3970.9(In c)
7000 / - 3970.9 = In c
−1.762824 = In c
c = exp(−1.762824)
c = 0.1715596
c = 0.1715596 * 100%
c = 17.156% ; c = 17%
Answer:
11 0ver 54
Step-by-step explanation:
Given:
The height of the given trapezoid = 6 in
The area of the trapezoid = 72 in²
Also given, one base of the trapezoid is 6 inches longer than the other base
To find the lengths of the bases.
Formula
The area of the trapezoid is
where, h be the height of the trapezoid
be the shorter base
be the longer base
As per the given problem,
Now,
Putting, A=72, 
and h=6 we get,
or, 
or, 
or, 
or, 
or, 
So,
The shorter base is 9 in and the other base is = (6+9) = 15 in
Hence,
One base is 9 inches for one of the bases and 15 inches for the other base.
Answer:
C = 56.52 inches
Step-by-step explanation:
Given the following data;
Diameter, D = 18 inches
Pie, π = 3.14
To find the circumference of the circle;
Mathematically, the circumference of a circle is given by the formula;
Circumference of circle, C = πD
Where, D is the diameter of a circle.
Substituting into the formula, we have;
C = 3.14 * 18
C = 56.52 inches
