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
<h2><em>Based on the given, x = 333 three-pointers, y = 5 two-pointers, and z = 6 free throws, and the total number of points scored is:3x + 2y + z = 3(333) + 2(5) + (6) = 999 + 10 + 6 = 1015*If the number of three-pointers is actually 3, then the actual total score is:3(3) + 2(5) + (6) = 9 + 10 + 6 = 25.</em></h2><h2><em> HOPE IT HELPS (◕‿◕✿) </em></h2><h2><em> SMILE!!</em></h2>
P=250
that would be (250×$855)-$6780
=$213750-$6780
=$206970
the CEO amount would be 15% of $206970
=$31045.5
Answer:
108 cubes
Step-by-step explanation:
step 1
Find the volume of the cube with side length of 1/3 units
The volume of the cube is equal to
where
b is the side length
we have
substitute
step 2
To find how many cubes are needed to fill the prism, divide 4 cubic units (volume of the rectangular prism) by 1/27 cubic units (volume of one cube)
No solution -2=2 would be the answe
