1. For any given day, the number of degrees that the average temperature is below 18°C is called the degree-days for that day. This figure is used to calculate how much is spent on heating. The total
number D of degree-days for each month in Dubuque, Iowa, with t = 1 representing January, can be
modelled using the function D(t) = 704 sin 30(t - 2) + 716 .

a) What month has the lowest total number of degree-days over the whole year?

b) What is minimum total number of degree-days?

c) What is the total number of degree-days on September 30?

d) When is the total number of degree-days at 1068? How many months is it below 1068 degree-days?

2x + 8

step-by-step explanation:

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)

all you have to do is multiply them both to see how many out comes you can put:

3 x 2 = 6

you can make 6 diferent combinations of crusts and toppings.

~batmans wife dun dun