NÅGRA KOMMENTARARER TILL LÖSNINGARNA

2447a-b
Antag att sidan är x m
x⋅x⋅ x=
10
3
x = 10
3
x = 10
x = 2,2 m
x
3 (10)
Svar Sidan i kuben är 2,2 m
2449
14
⎛2143 ⎞
⎜ ⎟ ≈ 3,1415927
⎝ 22 ⎠
(2143/ 22) ^1⎦4 Ja det är sant
2451d
−a−b−c −4,5
6
100⋅ 2 = 59
59 mg
100∗ 2 ^ (-4.5/ 6)
2507a
310 210
610 ⋅ = 610 ⋅
⋅
5
⋅ ⋅
6
=
5+ 6 11
2509b−a
5 −2
10⋅10 ⋅10
=
7 −4
10 ⋅10
1+ 5 + ( −2)
4
10 10
= =
7 +− ( 4) 3
10 10
= =
4−3 1
10 10 10
LÖSNINGAR DEL B
2507b−d
(3 10 ) 3 (10 )
910 ⋅ = 910 ⋅
⋅
6 2
=
2
⋅
6 2
=
62 ⋅
12
2509c−d
9 8
610 ⋅ ⋅510 ⋅
=
2 −11
2,5 ⋅10⋅4⋅10 9+ 8
6510 ⋅ ⋅
=
2 +− ( 11)
2,5 ⋅4⋅10 17
30⋅10 = −9
10⋅10 30
⋅ 10 = 3⋅10 10
17 −− ( 9) 26
2448a-b
Antag att radien är r cm
3
4π
r
= 4,5
3
3
4πr= 4,5⋅3 3 4,5 ⋅3
r =
4π
4,5 ⋅3
r = 3
4π
x = 1, 0 cm
x
3 ((4.5∗3)/(4 π ))
2450
10 3
2 = 1024 ≈ 1000 = 10
x = 3
5 = 9795625 ≈ 10000000 = 10
y = 7
10 7
6 = 10077696 ≈ 10000000 = 10
z = 7
9 7
2452a−b−c−d
−0,040x
180⋅10 −0,040⋅4 180⋅10 125 h
180∗10 ^ (-0.040∗4) (Avrundat till 120 h i facit)
2508a−b
810 510
8510 ⋅ ⋅ =
40⋅ 10 = 4⋅10 ⋅
−3 ⋅ ⋅
− 3 + ( −4)
−4
=
−7 −6
2512a
2000000⋅ 0,0006 =
6 −4
210 ⋅ ⋅610 ⋅ =
2 3
12⋅ 10 = 1,2 ⋅10
2508c−d
5
210 ⋅ 2 5−12 10
12
40
810 ⋅
= ⋅
8
=
0,25⋅ 10 = 2,5 ⋅10
−7 −8
2513a
15000000⋅ 80000000
0,0000004
7 7
1,5 ⋅10⋅8⋅10 = =
−7
410 ⋅
14
12⋅10 21
= 310 ⋅ −7
410 ⋅