Answer:
the opposite Angles sum up to give 180
Step-by-step explanation:
3y +3y = 180
y=30
if y = 30 the x = 55
are you clear?
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:
Step-by-step explanation:
19 - you would divide number of beads by beads per bracelet to get number of bracelets
blue = 258/6 = 43
silver = 428/9 = 47.56, round down because we're looking at complete bracelets = 47
rose = 102/3 = 34
white = 258/7 =36.86, round down again = 36
20 - they can make 43 + 47 + 34 + 36 = 160 bracelets before they run out, and they will run out of rose first since it has the smallest number of bracelets
21 - multiply num of beads by num of bracelets for each color and add them up
blue = 6 * 7 = 42
silver = 9 * 7 = 63
rose = 3 * 7 = 21
white = 7 * 7 = 49
42 + 63 + 21 + 49 = 175
Answer:
A. (12 , -12)
B. (-2 , -8)
C. (15 , 0)
E. (0 , 12)
Step-by-step explanation:
