Answer:
Dividing logarithms is not the same as dividing the arguments of a logarithm.
Step-by-step explanation:
1) If we divide two logarithms then we'll find a value. This is not the same as dividing two arguments of the same base logarithms.
For example:
Then
2) Completing the table below to show it clearly:
Answer:
ŷ = -1.618X + 215.636
191
Step-by-step explanation:
From the graph:
The data below could be obtained to produce the best fit line :
Week, x :
0
1
2
3
4
5
6
7
8
9
10
Weight :
216
214
213
210
210
207
206
202
203
202
200
Using a linear regression calculator. The best fit line obtained is :
ŷ = -1.618X + 215.636 ; which shows decrease in weight has the number of weeks grow.
Carters weight 15 Weeks into his diet :
X = 15
ŷ = -1.618(15) + 215.636
= 191.366
= 191 (nearest whole number)
Answer:
a). N = 2
b). N = 16
c). t = 624 minutes
Step-by-step explanation:
Exponential model that shows the rumor spread through a group is
Where N = Number of teenagers who have heard the rumors
t = Duration after the rumor first started
(a). At the time t = 0
N = 2
Therefore, 2 teenagers started the rumor.
(b). At t = 5 hours
N =
N = 15.96
N ≈ 16
16 teenagers heard the rumors after 5 hours.
(c). If N = 150
150 =
75 =
log(75) = 0.7t(log1.81)
1.87506 = 0.7t(0.25767)
t =
t = 10.395 hours
t ≈ 624 minutes
Therefore, after 624 minutes or rumor will be heard by 150 teenagers.