Answer:
78.4
Step-by-step explanation:
ADD THEM
Answer:
4/15
Step-by-step explanation:
2x/5-3y/2=7
<em>Multiply all terms by the lcd.</em>
10(2x/5) + 10(-3y/2) = 10(7)
<em>Cross cancel.</em>
2(2x)+ 5(-3y) =70
<em>Simplify.</em>
4x -15y = 70
<em>Subtract 4x from both sides.</em>
-15y = -4x +70
<em>Divide by -15 on both sides.</em>
y= 4/15x -24/3
We will use integration by substitution, as well as the integrals
∫
1
x
d
x
=
ln
|
x
|
+
C
and
∫
1
d
x
=
x
+
C
∫
x
3
x
2
+
1
d
x
=
∫
x
2
x
2
+
1
x
d
x
=
1
2
∫
(
x
2
+
1
)
−
1
x
2
+
1
2
x
d
x
Let
u
=
x
2
+
1
⇒
d
u
=
2
x
d
x
. Then
1
2
∫
(
x
2
+
1
)
−
1
x
2
+
1
2
x
d
x
=
1
2
∫
u
−
1
u
d
u
=
1
2
∫
(
1
−
1
u
)
d
u
=
1
2
(
u
−
ln
|
u
|
)
+
C
=
x
2
+
1
2
−
ln
(
x
2
+
1
)
2
+
C
=
x
2
2
−
ln
(
x
2
+
1
)
2
+
1
2
+
C
=
x
2
−
ln
(
x
2
+
1
)
2
+
C
Final answer
A decameter is the longest, as it has a length equal to 10 meters.
Hope this helps!