I'm pretty sure there where 64 teams in the start of the tournement
Here we're dividing a fraction (5/8) by another fraction. We could obtain the same result by inverting the divisor (2/5) and then multiplying (5/8) by (5/2).
The product is 25/16.
Thus, 2/5 divides into 5/8 25/16 times, or 1 9/16 times.
Answer:
a) e-0.03x(0.3-0.009x)
b) 33 hrs 20 min
c) 17.182
Step-by-step explanation:
Taking derivative of the above equation would give us the rate for change in donations :
hence
f'(x) = d/dx (0.3xe-0.03x)
using product rule of derivation where (uv)' = u'v +v'u
hence
f'(x) = (e-0.03x)d/dx(0.3x) + 0.3x*d/dx(e-0.03x)
= 0.3e-0.03x + 0.3x(-0.03)(e-0.03x)
f'(x) =0.3e-0.03x -0.009xe-0.03x
hence
a) rate of change in donations = e-0.03x(0.3-0.009x) taking exponent common
b) f'(x) = 0 according to statement
hence 0 = e-0.03x(0.3-0.009x)
0 = 0.3 - 0.009 x
which gives x = 33.33 hrs i.e after 33 hrs and 20 minutes rate of change of donations is 0.
c) donation level at the time is given by
f(x) = 0.3xe-0.03x
f(33.33) = 0.3 (33.33)e-0.03(33.33)
= 17.182
That is 17.182 thousand donations were made at that time.
Answer:
The answer to your question is below
Step-by-step explanation:
1.- (2b - 1) (b + 8) = 0
2b - 1 = 0 b + 8 = 0
b = 1/2 b = -8
2.- (x + 3)(x - 12) = 0
x + 3 = 0 x - 12 = 0
x = -3 x = 12
3.- (4b+ 7)(b + 11)
4b + 7 = 0 b + 11 = 0
b = -7/4 b = -11
4.- (k - 8)(k + 6)
k - 8 = 0 k + 6 = 0
k = 8 k = -6
5.- (2n + 12)(5n+ 10)
2n + 12 = 0 5n + 10 = 0
n = -12/2 = -6 n = -10/5 = -2
6.- (w - 3)(3w - 7)
w - 3 = 0 3w - 7 = 0
w = 3 w = 7/3
7.- (6n - 5)(n - 10)
6n - 5 = 0 n - 10 = 0
n = 5/6 n = 10
8.- (n + 12)((4n + 7)
n + 12 = 0 4n + 7 = 0
n = -12 n = -7/4
9.- (3b + 4)(5b - 10)
3b + 4 = 0 5b - 10 = 0
b = -4/3 b = 10/5 = 2
10.- (p - 6)(p + 10)
p - 6 = 0 p + 10 = 0
p = 6 p = -10
Answer:it’s in the explanation
Step-by-step explanation:
a. Each wrap costs $2.00, and each bottle of water costs $6.50.
b. Each wrap costs $4.70, and each bottle of water costs $4.70.
c.Each wrap costs $5.30, and each bottle of water costs $3.00.
d. Each wrap costs $6.50, and each bottle of water costs $2.00.
