Answer:
The student must get at least 86 in the next text in order to get an upper A average.
Step-by-step explanation:
The scores in the three tests are: 91, 94 and 89
The average score here is = 91 (rounded off to nearest whole number)
In order to get an Upper A average after tackling the next test, the students total score in the four tests must be 90 × 4 = 360
Let's say the student scores x in the fourth test.
Then; 91 + 94 + 89 + x ≥ 360
274 + x ≥ 360
x ≥ 360 - 274
x ≥ 86
Answer:
Step-by-step explanation:
Use Newton's Law of Cooling here:
where T(t) is the temp of something after a certain amount of time, t, has gone by; Ts is the surrounding temp, and T0 is the initial temp. k is the constant of cooling. We need to first solve for this using the information given. Filling in what we know:
which can simplify a bit to
and
Take the natural log of both sides:
Taking the natural log allows us to pull that exponent down out front:
and now we can divide both sides by ln(38) to get
-35k = .794585 so
k = -.023
Now that have the value for k, we can go on to solve the rest of the problem which is asking us the temp of the soda after 70 minutes. Filling in using the k value and the new time of 70 minutes:
and
and
and
T(t) = 35 F, basically the temp of the fridge, which is not surprising!