It will be 0.0151193
hope that helped
The initial value of the graph is where 
. Thus, in this case, the initial value is 12.
The rate of change of the graph is essentially the slope of the graph. In this case, we can use the slope formula:
and 
are points on the graph
Let's use two points from the chart to find the slope:
In this case, the rate of change of the graph is 9.
Answer:
Carlos rode further on Sunday by 1 and StartFraction 51 over 56 EndFraction miles
Step-by-step explanation:
Carlos biked StartFraction 139 over 8 EndFraction miles on Saturday
= 139/8 miles
And on Sunday = StartFraction 135 over 7 EndFraction miles on Sunday.
= 135/7 miles
On which day did he ride further and by how much?
To calculate this, we have to find the difference between the number rode miles he rode on Saturday and Sunday
= Number miles(Sunday) - Number rod miles for Saturday
= 135/7 - 139/8
= LCD, Lowest Common Denominator
= 56
= 8(135) - 7(139)/56
= 107/56
= 1 51/56
Carlos rode further on Sunday by 1 and StartFraction 51 over 56 EndFraction miles
The numbers are ordered, such that the first number (the largest one) is:
(5 + 1/2)
And the last number (the smaller one) is (5 + 1/3). Only by knowing this, we will see that the correct options are A and C.
We want to see which of the following numbers is not on the list:
A) √25
B) 5.45
C) 5 12
D) 5.34
One of these numbers can only be in the list if it is larger than (5 + 1/3) and smaller than (5 + 1/2).
To see this easier, let´s rewrite both of these:
5 + 1/2 = 5 + 0.5 = 5.5
5 + 1/3 = 5 + 0.33 = 5.33
Then if a number is smaller than 5.33, the number can't be in the list.
Here we can see two numbers that are smaller than 5.33
These are:
Option A) √25 = 5 < 5.33
Option C) 5.12 < 5.33
And there is no number larger than 5.5
Concluding, the numbers that are not in Demichael's list are:
√25 and 5.12
If you want to learn more, you can read:
brainly.com/question/7487419
Answer: 41.5 min
Step-by-step explanation:
This problem can be solved with the Radioactive Half Life Formula:
(1)
Where:
is the final amount of the radioactive element
is the initial amount of the radioactive element
is the time elapsed
is the half life of the radioactive element
So, we need to substitute the given values and find from (1):
(2)
(3)
(4)
Applying natural logarithm in both sides:
(5)
(6)
Clearing :
This is the time elapsed
