answer:m3+27n3
Step-by-step explanation:
Rewrite
27
n
3
as
(
3
n
)
3
.
m
3
+
(
3
n
)
3
Since both terms are perfect cubes, factor using the sum of cubes formula,
a
3
+
b
3
=
(
a
+
b
)
(
a
2
−
a
b
+
b
2
)
where
a
=
m
and
b
=
3
n
.
Steps 1/2(5-2h) times 2=h/2 times 2
Simplify 5-2h=h
Subtract 5 from both sides 5-2h-5=h-5
Simplify -2h=h-5
Subtract h from both sides -2h-h=h-5-h
Simplify-3h=-5
Divide both sides by -3 -3h/-3= -5/-3
simplify h=5/3 so that is your answer.
Hope this helps
Answer:
0.70275
Step-by-step explanation:
Data provided in the question:
4e²ˣ⁻¹ -1 = 5
now solving for 'x'
⇒ 4e²ˣ⁻¹ = 5 + 1
or
⇒ 4e²ˣ⁻¹ = 6
or
⇒ 
or
⇒ 
now,
taking natural log both sides, we get
⇒ 2x - 1 = 
also,
we know
⇒
thus,
⇒ 2x - 1 = ln(3) - ln(2)
or
⇒ 2x - 1 = 1.0986 - 0.6931
or
⇒ 2x - 1 = 0.4055
or
⇒ 2x = 0.4055 + 1
or
⇒ 2x = 1.4055
or
⇒ x = 0.70275