First of all, a positive average rate of change means that the function is increasing, so the answer can only be A->B or B->C.
The average rate of change is defined as
i.e. as the ratio between the vertical and horizontal gain.
In order to go from point A to point B, you gain 1 unit horizontally and 5 units vertically. So, the average rate of change is 5/1=5.
In order to go from point B to point C, you gain 1 unit horizontally and 3 units vertically. So, the average rate of change is 3/1=3.
The radius of a cone with a curved surface area of 140π cm² and a slant height of 5 cm will be 28 cm.
<h3>What is curved surface area?</h3>
The region with just curved surfaces, leaving the circular top and base, is referred to as the curved surface area. Total Surface Area is the combined area of the bases and the curved surface. The measurement of a solid's curved surface area is its outer area, which excludes the top and bottom extensions. Surface area of the cylinder that is curved: A right circular cylinder is the solid that results when a rectangle circles around one side and makes a full revolution. The curved surface area of a cylinder (CSA) is also known as the lateral surface area and is defined as the area of the curved surface of any given cylinder having a base radius "r" and height "h".
Here,
Curved surface area of cone=πrl
=140π
l=5 cm
140π=πr*5
r=140/5
r=28 cm
The radius of cone that has 5 cm as slant height and 140π cm² as the curved surface area will be 28 cm.
To know more about curved surface area,
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Answer:
The probability of NOT hitting a boundary is (4/5).
Step-by-step explanation:
Let E: Be the event of hitting a boundary
now, Probability of any event E = 
Here, number of favorable outcomes = 6
So, P(E) = 
⇒Probability of hitting a six is 1/5
Now, P(E) + P(not E) = 1
So, P(not hitting a boundary ) = 1 - P(hitting a boundary)
= 1 - (1/5) = 4/5
Hence, the probability of NOT hitting a boundary is (4/5).
Answer: She can cut 8 slices with the remaining amount of bread.
Step-by-step explanation: this is because 2/3 = 8/12
Answer:
6 hours.
Step-by-step explanation:
5/6 / 5 is 1/6. 6 divided by 1 out of 6 is 6. so 6 hours
