Answer:
r = 152/55
Step-by-step explanation:
122 - 44r = - 30 + 11r
122 - 44r - 11r = - 30
- 44r - 11r = - 30 - 122
- 55r = - 30 - 122
- 55r = - 152
D = m
----
v
2.336 g/cm^3 = m
----
350
(350) 2.336 = m
817.6g = m
Answer:
If Kyle has 24, then Nora has 18
Step-by-step explanation:
24/4=6
6*3=18
Answer:
√
8
≈
3
Explanation:
Note that:
2
2
=
4
<
8
<
9
=
3
2
Hence the (positive) square root of
8
is somewhere between
2
and
3
. Since
8
is much closer to
9
=
3
2
than
4
=
2
2
, we can deduce that the closest integer to the square root is
3
.
We can use this proximity of the square root of
8
to
3
to derive an efficient method for finding approximations.
Consider a quadratic with zeros
3
+
√
8
and
3
−
√
8
:
(
x
−
3
−
√
8
)
(
x
−
3
+
√
8
)
=
(
x
−
3
)
2
−
8
=
x
2
−
6
x
+
1
From this quadratic, we can define a sequence of integers recursively as follows:
⎧
⎪
⎨
⎪
⎩
a
0
=
0
a
1
=
1
a
n
+
2
=
6
a
n
+
1
−
a
n
The first few terms are:
0
,
1
,
6
,
35
,
204
,
1189
,
6930
,
...
The ratio between successive terms will tend very quickly towards
3
+
√
8
.
So:
√
8
≈
6930
1189
−
3
=
3363
1189
≈
2.828427
Answer:
(Approximated)
Step-by-step explanation:
We are given the following along with the equation we are to use:
Be careful it says 
is in years and it gives us a time that is in months.
:
Let's plug in our information:
Plugging in the right hand side into my calculator gives:
(Approximated)
