Answer:
Step-by-step explanation:
Here, the given expression is:
Now, by logarithm rules, we know
if 
, then x =
Comparing here, b = 10 and z = 2
⇒ y = 
or,
Answer:
C. It is a function because none of the ordered pairs have the same y-value.
Step-by-step explanation:
Answer: Exponential decay model:
y
=
x
(
1
−
r
)
t
, half life of tablet is about
2
hours and after
t
=
3
hours , remaining drug on patient's system is
42.875
mg.
Step-by-step explanation: Initial drug
x
=
125
mg ; rate of decay
r
=
30
100
=
0.3
gm/hour
Exponential model:
y
=
x
(
1
−
r
)
t
=
125
(
1
−
0.3
)
t
=
125
⋅
0.7
t
Half life:
y
=
125
2
=
62.5
mg
∴
62.5
=
125
⋅
0.7
t
or
0.7
t
=
1
2
. Taking logarithm on both sides we get ,
t
log
(
0.7
)
=
log
(
0.5
)
∴
t
=
log
(
0.5
)
log
(
0.7
)
≈
1.94
(
2
d
p
)
hour
The half life of tablet is about
2
hours.
After
t
=
3
hours , remaining drug on patient's system is
y
=
125
⋅
0.7
t
=
125
⋅
0.7
3
=
42.875
mg [Ans]
10.99 +11.67+ 3.64 + 2.83 = 29.13 SO THE TAX EQUALS 87 CENTS
A + (b + c) = (a + b) + c.....what u have here is the associative property of addition
