Step-by-step explanation:
The difference quotient represents the slope of the line connecting two points on a curve. To achieve the most accurate estimate, we need to use points that are nearest to x = 0. For this problem, the relevant points are (-0.001, 1.999) and (0.001, 2.001).
m = (2.001 − 1.999) / (0.001 − (-0.001))
m = 1
Answer:
"Ensure that one of them is a match"
Step-by-step explanation:
Generating heat through friction requires some practice. By elevating the wood's temperature, it's feasible to reach the necessary ignition temperature.
Successful fire-starting depends on proper technique and equipment. Failures often arise from inadequate approach and gear, which can complicate the learning process.
When selecting wood, aim for the following criteria:
- Dry tinder
- Wood should be compressible; if it isn't, it's too challenging.
- Wood that is moderately strong but not overly tough
- Avoid sap in the wood
Position the two pieces of wood at a 90-degree angle, resembling a cross. Support one stick vertically on the ground, while the other rubs against it quickly, using intervals.
Underneath, place dry tinder that catches fire swiftly after it's ignited.
For the Puzzle, remember the order of the words:
Ensure that one of them is a match.
Utilize tree wood, apply friction and heat until ignition occurs.
Part A:
Considering the best possible outcome
The ideal case occurs if the two missing socks are from the same pair.
Consequently, there are 4 complete pairs remaining.
To choose 2 from the total of 10 socks (5 pairs), the number of combinations is given by 10C2 = 45.
Choosing 2 that are from the same pair means selecting one from 5 pairs, so the count is 5C1 = 5.
Thus, the probability for this best case is 5 / 45 = 1 / 9.
Part B:
Considering the worst-case outcome
This scenario occurs when the two missing socks are from different pairs.
As a result, we have 3 complete pairs left.
The total ways to select 2 socks from 10, again, is 10C2 = 45.
To select 2 that do not belong to the same pair, we calculate as follows: 10C2 - 5C1 = 45 - 5 = 40.
Therefore, the probability for the worst-case scenario is 40 / 45 = 8 / 9.
Answer: 56/81
Step-by-step explanation:
refer to the attached document
Answer:
B
Step-by-step explanation:
If two quantities have a direct variation, their graph will originate from the point of intersection at the origin.
Among all graphs, only Nikiya's intersects the origin, thus the answer is B.
