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%
Hey there :)

↓ Is the same as

÷

Since it is a division by fraction, we can multiply by what is called the reciprocal
( The attached picture might help you )
(

) ×
↓ For this part, we need the common denominator, which is 6

×


×


×


↑
Your final answer
The angle 5x will be 50⁰. Then the correct option is D.
<h3>What is a parallelogram?</h3>
It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.
The diagram is given below.
We know the sum of internal angles is 360 degrees.
Then we have
5x + 130 + 5x + 130 = 360
10x = 100
x = 10
Then the angle 5x will be
5x = 5(10)
5x = 50⁰
Then the correct option is D.
More about the parallelogram link is given below.
brainly.com/question/1563728
#SPJ1
X = -1
(-1, -5) The line is horizontal.
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The answer is no solution
Step-by-step explanation:
The equation is
and 
Subtracting these two equations, we get,

Thus,
is not possible.
Hence, the system of equations have no solutions.