Answer:
(-∞,19)
Definition: The domain of a function is the set of input or argument values for which the function is real and defined
Answer:
100 customers
Step-by-step explanation:
Note that when you say "The probability that a customer receives a $25 gift card is 19", I assume you mean 1/9, not 19 because probability cannot exceed 1.
There are 900 reward cards in total, which means 900 customers have a chance to receive a reward. Out of these 900 customers, 1/9 of them receive a $25 gift card, so in order to find how many receive a gift card, we do:
(1/9) * 900 = 100
Thus, 100 customers receive a $25 gift card.
Answer:
f(x) = 2π (11 + sin x) √(1 + cos²x)
Step-by-step explanation:
Surface area of a curve rotated about y = a is:
S = ∫ 2π (y − a) ds,
where ds = √(1 + (dy/dx)²) dx.
y = 6 + sin x, and a = -5. dy/dx = cos x. Plugging in:
S = ∫₀²ᵖⁱ 2π (6 + sin x − -5) √(1 + cos²x) dx
S = ∫₀²ᵖⁱ 2π (11 + sin x) √(1 + cos²x) dx
Therefore, f(x) = 2π (11 + sin x) √(1 + cos²x).
10 000
Anything greater than 5 rounds up
Hope this helps :)
