3000000...........
10^6 =1000000 (3) = 3000000
A)
The relationship between the amount of hours
spent studying and the test scores increase with time in a positive direction showing a positive correlation.
B) Y=8x+40
Y=8(3) +40
Y=24+40
Y= 64
C)
The 40 stands for the initial score the student
can get without any studying
Answer:
Zero is a number that can be equal to its opposite.
So, the given equation has solution for which LHS=RHS=0.
Step-by-step explanation:
The answer to the equation is 2
It would be 67,437,000,000 since the eight in 67,436,(8)28,104 rounds the 6 up to a 7.
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]
