An example of Algebra structure work is simplify (8-3)+3.
<h3>What is algebraic structure?</h3>
In mathematics, an algebraic structure is known to be a term that is made up of a nonempty set A, a combination of operations on A of finite series and a finite group of identities.
To simply this equation, (8-3)+3.
One has to follow the order of operations using the P.E.M/D.A/S technique, the expression that are in the parenthesis have to be solved first.
2 of 3
(5)+3 = 8
Therefore, the answer is 8
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Considering the data in the question, the focal length of the objective lens that will give a total magnification of 200x is <u>0.8cm focal length.</u>
The whole question is:
You are using a microscope with a 10x eyepiece. What focal length of the objective lens will give a total magnification of 200x? Assume a length L = 160mm.
<h3>How was the answer derived?</h3>
Given that total magnification is 200
And the Assume length is 160
Since we used a microscope with a 10x eyepiece, the magnification would be divided by 10.
=> 200 ÷ 10 = 20.
Also, the focal length is measured in centimeters or meters; we would change the millimeters of focal length to centimeters. Therefore, we have 160 ÷ 10 = 16
The formula for the focal length of the objective lens = assumed length ÷ total magnification.
=> 16 ÷ 20 = 0.8cm.
Hence, in this case, it is concluded that the correct answer is "0.8cm."
Learn more about the focal length of the objective lens here: brainly.com/question/15744335
Odd. Hence +1
r
+
1
is even, and one of
p
and
q
must be 2
2
. We may assume that =2
p
=
2
. Then we get 2=+1
2
q
=
r
+
1
and
8+22=2+1=(+1)(−1)+2=2(2−2)+2,
8
+
2
q
2
=
r
2
+
1
=
(
r
+
1
)
(
r
−
1
)
+
2
=
2
q
(
2
q
−
2
)
+
2
,
implying 22−4−6=0
2
q
2
−
4
q
−
6
=
0
or (−3)(+1)=0
(
q
−
3
)
(
q
+
1
)
=
0
. This has =3
q
=
3
as only prime solution, hence =3
q
=
3
and =2−1=5
r
=
2
q
−
1
=
5
.
In conclusion, there are two solutions: (,,)=(2,3,5)
(
p
,
q
,
r
)
=
(
2
,
3
,
5
)
and (,,)=(3,2,5)
(
p
,
q
,
r
)
=
(
3
,
2
,
5
)
.
