Answer:
A) 277 million years
Step-by-step explanation:
Here, decay of U-238 is first order reaction. (since most of the nuclear decays are first order).
so, the equation t = 
× ln(
)
where, t = time from start of reaction
k = reaction constant
A(0) = initial concentration; A = present concentration.
⇒ 4.5 billion = 4500 million years = × ln2.
Now, given 95.82% of parent U-238 isotope is left.
⇒ t = × ln()
t = 
× ln(
)
⇒ t ≅ 277 million years.
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❖ Each bag will hold 19 pops. 3 pops will be left over.
98 ÷ 5 = 19 R 3
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Answer:
32cm³
Step-by-step explanation:
the volume of a cone is
V
=
π
r
2
h
3
in this case, we can relate
h
and
r
as we know that the slope =
h
r
=
10
5
=
2
we can make the volume a formula in a single variable
V
=
π
(
h
2
)
2
h
3
=
π
h
3
12
differentiating wrt time, it follows that
.
V
=
3
π
h
2
.
h
12
=
π
h
2
.
h
4
so to address the question
.
V
=
π
8
2
⋅
2
4
=
32
π
c
m
3
/ sec
Answer:
∠N and ∠O
Step-by-step explanation:
we know that
The ∆NOM has three sides and three interior angles
The sides are
NO, OM and NM
The interior angles are
∠N,∠O and ∠M
The included angles of side NO are ∠N and ∠O
The included angles of side OM are ∠O and ∠M
The included angles of side NM are ∠N and ∠M
therefore
The answer is
∠N and ∠O
A and E are corresponding angles so A=E
