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]
Answer:
c. 2b - 3
Step-by-step explanation:
Simplify the following:
-2 b + 4 + 4 b - 7
Grouping like terms, -2 b + 4 + 4 b - 7 = (4 b - 2 b) + (4 - 7):
(4 b - 2 b) + (4 - 7)
4 b - 2 b = 2 b:
2 b + (4 - 7)
4 - 7 = -3:
Answer: 2 b + -3
Answer:
13.8 feet long.
Step-by-step explanation:
The end two pieces are 3.6 feet long.
The middle board must be 0.82 longer than the 3.6 feet.
The easy way to do this is to realize that the length of the middle part is 1.82 times the length of each of the end pieces.
1.82 * 3.6 = 6.552 feet long.
So the total length of the board must be
3.6 + 3.6 + 6.552 = 13.752 feet long. (That's a pretty long board).
Rounded it becomes 13.8 feet long.
Answer:
The corresponding sides are in proportion. so they are similar triangles.
