Answer:
Step-by-step explanation:
<u>Using the the equation </u>
<u>The ball hits the ground, when h = 0, solving below equation:</u>
- 100t − 16t^2 = 0
- 4t(25 - 4t) = 0
- t = 0 seconds, this is the starting point when ball was hit
- 25 - 4t = 0 ⇒ 4t = 25 ⇒ t= 25/4 = 6.25 seconds later the ball hits the ground
4x - 7 < 17
+ 7 + 7
4x < 24
4 4
x < 6
Solution Set: (6, ∞) and {x|x < 6}
You can download the answer here
bit.
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Let's define our variables before anything else:
Kas = S
Jaspar = R
Jae = E
$400 is divided between Kas, Jaspar and Jae
This means S + R + E = 400
Kas has twice as much as Jaspar
This means that S = 2R
Jaspar has three times as much as Jae
This means that R = 3E
Because both of our smaller formulas have R, let's replace everything in the first formula with R
S + R + E = 400
plug in values
2R + R + R/3 = 400
multiply everything by 3 to get rid of the denominator
6R + 3R + R = 1200
add
10R = 1200
divide
R = 120
So Jaspar receives $120
For 8 rooks
Without conflict (i.e. there is no row or column can contains 2 rooks)
then there are 8 choices for the first one in the first column, 7 choices in the second, ...1 choice in the last (eighth) column for a total of
8!=40320 ways.
Unlimited conflicts
there are 64 choices for the first, 63 for the second, .... 57 for the last, for a total of 64!/56!=178462987637760 ways
Similarly, for n rooks, with unlimited conflicts, there are
64!/(64-n)! ways
