1. Calculate how many hours passed between her temperature checks. 8 p.m to 8 a.m. is 12 hours.
2. Calculate the total change in temperature. 36 - 54 is -18, so the temperature went down by 18 degrees.
3. We are looking for degrees per hour, so we put derees(18) over hours (12) to get 18/12.
4. Calculate by dividing. The answer is 1.5 degrees per hour.
Answer:
See below.
Step-by-step explanation:
Fifth root of 243 = 3,
Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),
then r^5( cos Ф + i sin Ф )^5 = 243(cos 240 + i sin 240).
Equating equal parts and using de Moivre's theorem:
r^5 =243 and cos 5Ф + i sin 5Ф = cos 240 + i sin 240
r = 3 and 5Ф = 240 +360p so Ф = 48 + 72p
So Ф = 48, 120, 192, 264, 336 for 48 ≤ Ф < 360
So there are 5 distinct solutions given by:
3(cos 48 + i sin 48),
3(cos 120 + i sin 120),
3(cos 192 + i sin 192),
3(cos 264 + i sin 264),
3(cos 336 + i sin 336).. (Answer).
Answer:
Each of the 7 friends could be present or not present (2 cases) at the party giving total of 27 scenarios.
Since at least one must be present we exclude the case that none of them is present. So the answer would be:
27−1=127.
Step-by-step explanation:
i actually dont know but can you report me and dont ask
Answer:
A.
Step-by-step explanation:
Factoring is the process of taking common terms out of an expression such that one can represent the expression as the result of smaller values. When given the following expression:
First, represent the linear term as the sum of two terms such that each term shares a common factor with the other terms in the expression.
Now take out the common factors,
Thus, the correct option is choice (A).
