Answer: 39
Step-by-step explanation: All the numbers in organized order: 30, 32, 32, 36, 42, 43, 44, 45. The median is basically the middle of the numbers, and since we have 8 numbers, the middle of the eight numbers is 36, and 42. Now we add those 2 middle numbers together, and divide them by 2 so we can find the median of those 2 middle numbers. (36+42)/2 is equal to 39, so the final answer is 39.
A 4th degree polynomial will have at most 3 extreme values. Since the degree is even, there will be one global extreme, with possible multiplicity. The remainder, if any, will be local extremes that may be coincident with each other and/or the global extreme.
(The number of extremes corresponds to the degree of the derivative, which is 1 less than the degree of the polynomial.)
My father taught me a method that I call, 'throwing some thing over the wall'. There is a sample equation for the first picture that shows you how it works. It's a great way to help isolate the variable and I hope that it works for you. The second picture contains the answers I got through the use of this method. I'm sorry for the messy handwriting; I was on a bus.
Answer:
the solution is (-4, -3)
Step-by-step explanation:
Multiply the first equation by 2. This produces 4x + 2y = -14.
Now combine this result with the second equation:
4x + 2y = -14
-3x - 2y = 10
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x = -4
Subbing -4 for x in the first equation yields 2x - 4 = -7, or 2x = -3.
Then x = -3/2, and the solution is (-4, -3)
Answer:
The refrigerator was at around 13 ∘C
Step-by-step explanation:
Newton's Law of Cooling:
The rate of change of a body temperature (amount of heat loss/time of loss) is directly proportional to the difference between its own temperature and the surroundings.

T ⇒ temperature
t ⇒ time
Tenv ⇒refrigerator temperature
⇒ rate of change of he temperature
-h ⇒ constant of proportionality (negative because the temperature is decreasing inside the refrigerator)
We have 3 points:
time (minutes) - Temperature (∘ C)
0 (when the pan was put in the refrigerator) - 46
15 (after 15 minutes) - 27
30 (15 minutes after the first 15 minutes) - 19
= -h (27 - Tenv)
= -h (19 - Tenv)
Now we have a system of two equations and two variables


The refrigerator was at around 13 ∘C