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%
Given the point:
(x, y) ==> (9, 2)
Let's find the new point of the image after a rotation of 90 degrees counterclockwise about the origin.
To find the image of the point after a rotation of 90 degrees counterclockwise, apply the rules of rotation.
After a rotation of 90 degrees counterclockwise, the point (x, y) changes to (-y, x)
Thus, we have the point after the rotation:
(x, y) ==> (-y, x)
(9, 2) ==> (-2, 9)
Therefore, the image of the points after a rotation of 90 degrees counterclockwise is:
(-2, 9)
ANSWER:
(-2, 9)
Answer:
x=10
Step-by-step explanation:
2x/5 = 4
2x=5×4
x=20/2=10
Answer:
x=-2
Step-by-step explanation:
-4x – 6(3x + 4) = -4 + 8(1 - x)
Distribute
-4x – 18x -24 = -4 + 8 -8x
Combine like terms
-22x -24 = 4-8x
Add 22x to each side
-22x+22x -24 = 4-8x+22x
-24 =4+14x
Subtract 4 from each side
-24-4 = 4+14x-4
-28 = 14x
Divide each side by 14
-28/14 =14/14
-2 =x
