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:
8 miles
Step-by-step explanation:
We start by calculating the distance between the two points
To calculate this, we use the distance formula
Let the distance be D
We have the formula as;
D = √(x2-x1)^2 + (y2-y1)^2
D = √(-2+2)^2 + (-5-3)^2
D = √(64)
D = 8 units
Since 1 unit is 1 mile,
then 8 units will be 8 * 1 = 8 miles
Answer:

Step-by-step explanation:
For this case we have two points given (-1,6) and (1,5)
And we want to complete the point slope equation of the line:

We need to find the slope and we can use the following formula:

And replacing the info we got:

And then the equation would be given by:

And our final answer would be:

Shown in the Figure below
Step-by-step explanation:
In this exercise, we have the following system of inequalities:

The word and means intersection, so both inequalities must be true at the same time. We can graph this system as indicated in the figure below. Indeed, there is intersection between -1 and 1. Also, the number -1 is included in the solution because
and this is represented by the closed circle. On the other hand, the number 3 is not included in the solution because
and this is represented by the open circle.
<h2>Learn more:</h2>
Inequalities: brainly.com/question/12261425
#LearnWithBrainly
A and c are true ! I hope this helps