Mathemathics
[Name of the Author]
Mathemathics
1. (-1/3)^ 3
= -0.333^ 3 = -0.04
2. (-3)^0
= 1
3.
5^7
=
6.25E+ 02
5^3
4.
(a^3b^5)(a^7b^7)
= a ^10 b ^12
5.
= 8x^ -4
= A that is 1/8x^4
6.
= 1/y^11
7.
= A that is x^3/ y^7
8.
= C
9.
= Volume of smaller box = 3 x 3 = 9
= Volume of larger box = 8 x 8 = 64
10.
= 1/2a ^8
11.
= -1024x^20y^25
12.
= B
13.
= (-u^4v^8/49v^2u^12)
14.
3.94
x
0.00001
=
0.0000394
15.
4.5
x
100
x
8.3
x
0.0001
= 450
x
0.0008300
= 0.3735
16.
7.9
x
10000000
= 79200000
17.
= 1.9E-11
18.
= 4.50E+ 08
19.
7.5
x
10000000
= 75400000
20.
-8x^8 - 2x^4 + 1.732
= is not polynomial (No)
21.
8x^6 - 4x^2 + 8 + x^7
= 8 - 4x ^2 + 8x ^6 + x ^7
22.
= X
23.
= a) 8
= b) 11
24.
= 9x ^9 + 8x ^9 - 3x -3x +1
= 9x ^9 + 8x ^9 -6x +1
25.
E = 0.028t + 1.17;
For 2005, E = 0.028 (5) + 1.17 = 1.31
For 2012, E = 0.028 (12) + 1.17 = 1.506
26.
For 2009,
= 6.7x ^2 + 37.8 x + 2856.2
= 6.7(25)^2 + 37.8 (25) + 2856.2
= 7988.7
27.
= -4t^7 + 4t^5 + 12t
28.
= (9y^2 +9y -7)
29.
= (2x-2)+(7x+9)-(2x-8)
= 2x-2+7x+9-2x+8
= 7x+15
30.
= 7x-9+2x+8-9x+3
= 2
31.
= -1v^2 - 4v + 3
32.
= 40x ^3 -541x ^2 + 2052x + 5870
33.
(-8x5)(3x4)
-8x5(3x4)
-8x5 * 3x4
-8 * 3x5 * x4
-24x5 * x4
-24x9
34.
(2x9)(-5x6)(5x4)
2x9(-5x6)(5x4)
2x9 * -5x6(5x4)
2x9 * -5x6 * 5x4
2 * -5 * 5x9 * x6 * x4
-10 * 5x9 * x6 * x4
-50x9 * x6 * x4
-50x15 * x4
-50x19
35.
(x2 + 3x + -6)(-2x)
-6 + 3x + x2)(-2x)
(-6 + 3x + x2) * -2x
-2x(-6 + 3x + x2)
(-6 * -2x + 3x * -2x + x2 * -2x)
(12x + -6x2 + -2x3)
2x(6 + -3x + -1x2)
36.
= (7b ^3+14b ^2-14b) + (-20b ^3+4b ^2)
= 7b ^3+14b ^2-14b-20b ^3+4b ^2
=13b ^318b ^2-14b
37.
(x + 4)(x - 4)
((-16 + 4x) + x ( -4 + x))
(-16 + 4x + (-4x + x2))
(-16 + 0 + x2)
(-16 + x2)
38.
(3c + -1)(4c + 3)
(-1 + 3c)(4c + 3)
(-1 + 3c)(3 + 4c)
Multiply (-1 + 3c) * (3 + 4c)
(-1(3 + 4c) + 3c * (3 + 4c))
((3 * -1 + 4c * -1) + 3c * (3 + 4c))
((-3 + -4c) + 3c * (3 + 4c))
(-3 + -4c + (3 * 3c + 4c * 3c))
(-3 + -4c + (9c + 12c2))
(-3 + 5c + 12c2)
39.
x + -7)(x2 + -4x + 5)
(-7 + x)(x2 + -4x + 5)
(-7 + x)(5 + -4x + x2)
(-7(5 + -4x + x2) + x(5 + -4x + x2))
((5 * -7 + -4x * -7 + x2 * -7) + x(5 + -4x + x2))
((-35 + ...