Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 55 degrees at midnight and the high and low temperature during the day are 73 and 37 degrees, respectively. Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.

the answer to this question is 3/19

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

he is going to fill two shelves and the third shelf will only have five video games

-1/4 > -1 2/3. -1/4 is greater than -1 2/3 because it is closer to 0 on the number line.