Measureing midpoints
1 answer:
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The value of b is 4
Step-by-step explanation:
The form of an exponential function is , where
- a is the initial value (value f(x) at x = 0
- b is the growth/decay factor
- T find the values of a and b substitute x and f(x) by the coordinates of any points belong to the function
∵
∵ The function includes the points (2 , 16) , (3 , 64) , (4 , 256)
- To find b substitute x and f(x) by the coordinates if any point above
∵ x = 2 and f(x) = 16
∴
- Take √ for both sides
∴ ± 4 = b
Substitute x by 3 and f(x) 64 to check your answer
∵
- Take ∛ for both sides
∴ 4 = b
∴ The value of b is 4 only
The value of b is 4
Learn more:
You can learn more about the inverse of the exponential function in brainly.com/question/11921476
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Answer: First Option
Step-by-step explanation:
The formula to calculate the volume of a cylinder is:
Where d is the diameter of the cylinder and h is the height.
Notice that the term d is squared. This means that to increase the volume of a cylinder it is more efficient to increase its diameter as well. Therefore, look for the cylinder with the largest diameter among the options.
The first cylinder is 90 ft in diameter and 40 ft in height and its volume is
You can verify that it is the tank that has the highest volume
Let
t = time, hours
h = height, feet
At 1 PM, the time and height are respectively
t₁ = 1 hour
h₁ = 4400 feet
At 4 PM, the time and height are respectively
t₂ = 4 hours
h₂ = 5600 feet
By definition, the mean hourly change in elevation is
Answer: 400 feet per hour
t = time, hours
h = height, feet
At 1 PM, the time and height are respectively
t₁ = 1 hour
h₁ = 4400 feet
At 4 PM, the time and height are respectively
t₂ = 4 hours
h₂ = 5600 feet
By definition, the mean hourly change in elevation is
Answer: 400 feet per hour