Slope, m, between the first two points (y1-y2)/(x1-x2) = 4/2 = 2
slope between the next two points is also = 2 so (1-c)/(3--6) = 2
1-c = 18
c = -17
From a1 to a2 is a1 * r so r = 1/10
starting form second term 1/5 * r * r * r = a5 = 1/5 * 1/1000 = 1/5000
Alan pointed out to me an error in this answer ....corrected below:
log5 24 / log5 2 - log5 3/ log5 2
= 3 = log5 x
5^3 = x = 125 (as UNTS subsequently showed below) Thanx , Alan!
73 xx x can be 0-9 100 choices
x73y x can be 1- 9 y can be 0 - 9 90 choices
xy 73 x can be 1-9 y can be 0-9 90 choices
total choices = 280
a1 = 1/4
r = 1/2
Sn = a1(1-r^n) / ( 1-r)
15/32 = 1/4(1- 1/2^n) /(1/2)
15/16 = 1-1/2 ^n
1/16 = 1/2 ^n
n= 4
Switch the L side to log base 5
log5 24 / log 2 - log5 3/ log2
log5 (24/3) = log5 x
x = 24/3 = 8
At the x axis intercepts, the value of y = 0
First one: 0 = 1/3x + 7 x = -21
Second one : 0 = 2x+5 x = - 5/2 sum = - 23 1/2
(3x + 4 )(x + 2 ) Finish.....
When the ball hits the ground, the height, y = 0
-16t^2+60t+54 = 0 use quadratic formula or factoring to solve for 't' ..... throw out the negative value....
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(10/3 )^2 = 11.11 and (42/5)^2 = 70.56
so all integers from 12 to 70 are included.... You can finish
