Answer:
8184 vocalists sang in total
Step-by-step explanation:
The number needed is ...
8 + 16 + 32 + 64 + 128 + 256 + 512 + 1024 + 2048 + 4096
You can add these up to get a total of 8184, or you can use the formula for the sum of a geometric series:
Sn = a1(r^n -1)/(r -1) . . . . where a1 is the first term and r is the common ratio
S10 = 8(2^10 -1)/(2 -1) = 8(1024 -1)/1 = 8184
Answer:
3x - 2y = -32
Step-by-step explanation:
Ax + By = C
2y = 3x + 32
-3x -3x
-3x + 2y = 32 (the leading coefficient needs to be positive)
-1(-3x + 2y = 32)
3x - 2y = -32
Hope this helps!
Answer:
-1.
Step-by-step explanation:
First find the derivative of f(x):
f'(x) = -3x^2 + 12x - 9 = 0 for a maximum or minimum.
-3(x^2 - 4x + 3) = 0
(x - 1)(x - 3) = 0
x = 1, 3.
To find which gives a relative maximum we find the second derivative:
f"(x) = -6x + 12
When x = 1 f"(x) = 6, positive.
when x = 3, f"(x) = -6, negative.
So x = 3 gives a maximum value of f(x).
f(3) = -(3)^3 + 6*(3)^2 - 9(3) - 1 = -1 (answer).
Answer:
129.73
Step-by-step explanation:
Answer:
3/5
Step-by-step explanation:
