5% of 2.699 = .05 * 2.699 = .13495
2.699 - .13495 =
2.56405 g / cm^3
For the greatest observed density......add 2.699 + .13495
The scale factor = 1.10
The % increase = (1.10)^2 = 1.21 = 21% increase
For n ≥ 1
5 ^(3*2n) mod 7 = 1
5^(3(2n + 1) ) mod 7 = 6
5^(3 * (2 * 166666 + 1) ) mod 7 = 6
5^ ( 3 * 333333) mod 7 = 6
5^(999999) mod 7 = 6
cos A = sqrt ( 4^2 -1^2) / 4 = sqrt (15) / 4
sin (2A) = 2sin A cos A =
2 (1/4) sqrt (15) / 4 =
sqrt (15) / 8
Tranformation rule = ( 9, 5)
Scale factor = 2
P =
( 3 + (2/9) (-4 - 3) , 6 + (2/9) ( 3 - 6) ) =
(3 - 14/9 , 6 - 6/9) =
( 27/9 - 14/9 , 18/3 - 2/3) =
(13/9 , 16/3)
Either
2 ( 2d - 40) + (d + 10) = 180
4d - 80 + d + 10 = 180
5d - 70 = 180
5d = 180 + 70
5d = 250
d = 250 / 5 = 50
or possibly
2 ( d + 10) + 2d - 40 = 180
2d + 20 + 2d - 40 = 180
4d - 20 = 180
4d = 180 + 20
4d = 200
d = 200 / 4 = 50
d = 50
Answers in red
Let x be the number of years we are looking for
(4 + x) + ( 2 + x) = (30 + x) / 2
6 + 2x = (30 + x) / 2 multiply through by 2
12 + 4x = 30 + x
4x - x = 30 - 12
3x = 18
x = 18 / 3 = 6 yrs
Proof
10 + 8 = 18
36/2 = 18
230 - x 4
_______ = ___ cross-multiply
65 - x 1
230 - x = 4 (65 - x)
230 - x = 260 - 4x
4x - x = 260 - 230
3x = 30
x = 30 /3 = 10 = number each gave away
