Answer:
Step-by-step explanation:
<u>The data given:</u>
- 93, 81, 94, 71, 89, 92, 94, 99
<u>Put the data in the ascending order:</u>
- 71, 81, 89, 92, 93, 94, 94, 99
<u>Since the data size is even, the median is the average of middle two:</u>
- median = (92 + 93)/2 = 92.5
The value of a where the Limit of g(x) as x approaches alpha not exist are -1 and 1
<h3>Limit of a function</h3>
The limit of a function is the limit of a function as x tends to a value.
From the given graph, you can see that the function g(x) goes large at the point where the arrows orange and purple point down from the x-coordinates -1 and 1.
Hence the value of a where the Limit of g(x) as x approaches alpha not exist are -1 and 1
Learn more on limit of a function here: brainly.com/question/23935467
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Answer:
x = 20
Step-by-step explanation:
These angles are consecutive interior angles, so when added they will equal 180 degrees (according to the consecutive interior angles theorem).
3x - 10 + 5x + 30 = 180 add/subtract all like terms
8x + 20 = 180
8x = 160
x = 20 <--- This will be your answer
Hope it helps!
Answer:
Quantity of heat needed (Q) = 722.753 × 10³
Step-by-step explanation:
According to question,
Mass of water (m) = 40 kg
Change in temperature ( ΔT) = 18°c
specific heat capacity of water = 4200 j kg^-1 k^-1
The specific heat capacity is the amount of heat required to change the temperature of 1 kg of substance to 1 degree celcius or 1 kelvin .
So, Heat (Q) = m×s×ΔT
Or, Q = 40 kg × 4200 × 18
or, Q = 3024 × 10³ joule
Hence, Quantity of heat needed (Q) = 3024 × 10³ joule
In calories 4.184 joule = 1 calorie
So, 3024 × 10³ joule = 722.753 × 10³
