Answer:
raise a product to a power.
you first simplify the parenthesis in the numerator by raising 2 by the power of three and multiplying the exponents.
i suck at explaining, but after the first step the expression looks like:
Step-by-step explanation:
Answer:
E
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
--- lower diameter
--- upper diameter
Solving (a): The curved surface area
This is calculated as:
Where
--- lower radius
--- upper radius
And
---- l represents the slant height of the frustrum
So, we have:
Solving (b): The volume
This is calculated as:
This gives:
Answer:
A viable solution is the ordered pair (0,0)
Step-by-step explanation:
we know that
The number of books cannot be a negative number
The number of books is a positive integer
The weight cannot be a negative number
therefore
A viable solution is the ordered pair (0,0)
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]
