Answer:
see below
Step-by-step explanation:
y' = -2e⁻ˣcos(x) -sin(x)2e⁻ˣ +e⁻ˣsin(x)-cos(x)e⁻ˣ = e⁻ˣ(-2cos(x)-2sin(x)+sin(x) -cos(x))
=e⁻ˣ(-3cos(x)-sin(x))
y'' = -e⁻ˣ(-3cos(x)-sin(x)) + (3sin(x)-cos(x))e⁻ˣ
y'' = e⁻ˣ[3cos(x)+sin(x) + 3sin(x)-cos(x)] = e⁻ˣ[2cos(x)+4sin(x)]
y''+2y'+2y = 0
e⁻ˣ[2cos(x)+4sin(x)] + 2[e⁻ˣ(-3cosx-sinx)] + 2[2e⁻ˣ cos(x)−e⁻ˣ sin(x)]
e⁻ˣ[2cos(x)+4sin(x)-6cos(x)-2sin(x)+4cos(x)-2sin(x)]
e⁻ˣ[-4cos(x)+2sin(x)+4cos(x)-2sin(x)]
e⁻ˣ[0cos(x)+0sin(x)] = 0
Answer:
We conclude that the 8 % of calls result in a sale.
We conclude that the 5.3% of sales are made to women.
Step-by-step explanation:
We know that 70% of calls arc not completed (the party does not answer or refuses to talk), that 20% result in talking to a woman, and that 10% result in talking to a man. After that point, 30% of the women and 20% of the men actually buy something.
We calculate what percentage of calls result in a sale, and we get:

We conclude that the 8 % of calls result in a sale.
We know that the ratio of women to men talking on the telephone is 2:1.
We calculate a percent of sales are made to women, and we get:

We conclude that the 5.3% of sales are made to women.
1/4(365) = 365/4 oz = 365/4(16) pound = 365/64 pound
Answer: 20 ft.
Step-by-step explanation:
Simply multiply 5 x 4.
One snack packet will cost 80 cents