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:
<u>u ≤ -6</u>
Step-by-step explanation:
Given :
Add 2 on both sides :
- 22 + 2 ≤ -4u - 2 + 2
- -4u ≥ 24
Divide both sides by -4 (remember the sign changes direction when divided by a negative number) :
- -4u/-4 ≥ 24/-4
- <u>u ≤ -6</u>
Answer:
Step-by-step explanation:
1. ok so you need to use Pythagoras which is a^2 + b^2 = c^2
substituting 16 and 12 into 'a' and 'b' you get 16^2 + 12^2 = c^2
256 + 144 = c^2
400 = c^2 (square root each side to get ride of the square)
c = 20cm
2. doing the same thing you get c = 22.36 in
3. again doing it you get c = 15Ft
Hope this helps!
Answer:

Step-by-step explanation:
Using pythagoras theorem,

8/10
4x2=8
5x2=10
this is how you know they are equal