Answer:
-6 k +5
Step-by-step explanation:
-2k -4k +5
Think of k is apples
-2 apples -4 apples
-6 apples
-6 k +5
Answer: a - 4.512 hours
b - 1.94 hours
Step-by-step explanation:
Given,
a) A(t) = 10 (0.7)^t
To determine when 2mg is left in the body
We would have,
A(t) = 2, therefore
2 = 10(0.7)^t
0.7^t =2÷10
0.7^t = 0.2
Take the log of both sides,
Log (0.7)^t = log 0.2
t log 0.7 = log 0.2
t = log 0.2/ 0.7
t = 4.512 hours
Thus it will take 4.512 hours for 2mg to be left in the body.
b) Half life
Let A(t) = 1/2 A(0)
Thus,
1/2 A(0) = A(0)0.7^t
Divide both sides by A(0)
1/2 = 0.7^t
0.7^t = 0.5
Take log of both sides
Log 0.7^t = log 0.5
t log 0.7 = log 0.5
t = log 0.5/log 0.7
t = 1.94 hours
Therefore, the half life of the drug is 1.94 hours
20 = 8 + v equals v = 12.
First, subtract 8 from both sides. Your problem should look like: 20 - 8 = v
Second, simplify 20 - 8 to get 12. Your problem should look like: 12 = v.
Third, switch sides to get v = 12, which is the correct answer.
Answer:
The scale factor is
Is a reduction
Step-by-step explanation:
we know that
The scale factor is the ratio of the corresponding side of resulting triangle by the corresponding side of the first triangle
Let
z-----> the scale factor
x------> the corresponding side of resulting triangle
y------> the corresponding side of the first triangle
so
In this problem we have
substitute
The scale factor is less than one
therefore
Is a reduction
RS = 6
TR = 4.5
Find TS.
R--------------T----------------S
TS = RS - TR
TS = 6 - 4.5
TS = 1.5
Did you follow?
