Of the 16 cards drawn from a standard deck of 52 cards, 5 of the cards are spades. based on the cards that were drawn, the experimental probability of drawing a spade is , and the difference of the experimental and theoretical probabilities of drawing a spade from a standard deck of cards is .
answer:3x + 21
the distributive property: a(b + c) = ab + ac
3(x + 7) = (3)(x) + (3)(7) = 3x + 21
hello from mrbilldoesmath!
27 x^2 sqrt(x^3) sin(x^3) - 9/2 sqrt(x^1/2) sin(x^1/2)*x^(-1/2)
let f(t) - 9 sqrt(t) sin(t), then
y' = f(x^3) * d(x^3)/dx - f(sqrt(x)) * d(x^1/2)/dx
= (9 sqrt(x^3)sin(x^3)) * 3x^2 - (9 sqrt(x^1/2)sin(x^1/2)) * (1/2) x^-(1/2)
= 27 x^2 sqrt(x^3) sin(x^3) - 9/2 sqrt(x^1/2) sin(x^1/2)*x^(-1/2)
hope i didn't make a "bozo" error differentiating things!