Answer:
a) 40, 50, 55, 57.5
b) 
Step-by-step explanation:
h₀ = Initial height of the ball =20
r = Rebound fraction = 0.5
a) The series of bouncing balls is given by
Sₙ=h₀+2h₀(r¹+r²+r³+r⁴.........rⁿ)
S₁=h₀+2h₀r¹=20+2×20×0.5=40
S₂=h₀+2h₀(r¹+r²)=20+2×20×(0.5+0.5²)=50
S₃=h₀+2h₀(r¹+r²+r³)=20+2×20×(0.5+0.5²+0.5³)=55
S₄=h₀+2h₀(r¹+r²+r³+r⁴)=20+2×20×(0.5+0.5²+0.5³+0.5⁴)=57.5
b) General expression for the nth term of the sequence
Answer:
5
Step-by-step explanation:
2 out of 9 games won
After the N games, the games won would be HALF. Thus, we can write a ratio and solve for the variable N:
Now we cross multiply and solve for N [the number of remaining games that all are won]:
N represents 5
Answer: I think the answers below are all correct! :)
Step-by-step explanation: --> (that sign means I simplified the equation)
9-7r=-5 --> (9+5)-7r=0 --> 14-7r=0 --> 14=7r --> r=2
6x-5=4x+9 --> 6x=4x+(9+5) --> 6x=4x+14 --> 6x-4x=14 --> 2x=14 --> x=7
3(2d-1)=7d --> *multiply the parenthesis* 6d-3=7d --> -3=7d-6d -->d=-3
2(p-3)=4(3p+1) --> *multiply the parenthesis* 2p-6=12p+4 --> -10p=10 --> p=-1
___________________________________________________________
Don't know how to do the others below the boxes.
Good Luck!
Answer:
6 pieces.
Step-by-step explanation:
While you cannot divide directly, one thing that rings true is that the numerator divided by a denominator that is twice the numerator will always be equal 1/2 or 0.5(or 50%, if you wanna go that way).
3*2 = 6
3/6 = 1/2
Therefore, Camille will get 6 pieces.
Explanation:
Start by calculating the first derivative of f(x) - use the quotient rule
ddx(f(x))=[ddx(x2)]⋅(x2+3)−x2⋅ddx(x2+3)(x2+3)2
f′=2x⋅(x2+3)−x2⋅2x(x2+3)2
f′=2x3+6x−2x3(x2+3)2=6x(x2+3)2❤
